Draw the product after each arrow. (6 points) 1) NaNH,/NH, HIC C-H 2) CH₂Br H₂O; H₂SO4 Hg²+

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Answer 1

1) This leads to the formation of the product, which is an alkyne.

2) In the final product, the -OH group is attached to the carbon atom that already has more hydrogen atoms.

1) NaNH2/NH3: NaNH2 is a strong base, which is a metal hydride. It is used as a source of NH2⁻. NaNH2 is a stronger base than NaOH and Na2CO3. Here, NaNH2/NH3 acts as a nucleophile and attacks the carbon atom. When NaNH2 attacks the C-H bond, the hydrogen is abstracted, and a negative charge develops on the carbon atom. The lone pair of electrons on the nitrogen atom then attacks this carbon atom, forming the C-N bond. This leads to the formation of the product, which is an alkyne.

2) CH2Br2: CH2Br2 is a dihaloalkane. It undergoes hydrolysis in the presence of H2O and H2SO4 to form the corresponding alcohol. H2SO4 acts as a catalyst in this reaction. After the hydrolysis reaction, the product is treated with Hg²+ in the presence of alcohol. This step is known as the oxymercuration-demercuration reaction. The alcohol, in this case, acts as a solvent. Hg²+ adds to the carbon-carbon double bond in a non-Markovnikov fashion to form a mercurinium ion. The mercurinium ion then undergoes demercuration, in which the Hg²+ is removed and replaced by a hydrogen atom. This leads to the formation of the final product, which is an alcohol. The mechanism of oxymercuration-demercuration leads to the formation of an alcohol that is Markovnikov. Thus, in the final product, the -OH group is attached to the carbon atom that already has more hydrogen atoms.

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Related Questions

Why is distillation the recommended process to isolate the product? Consider other techniques you have used in other labs and why they might not work here. • Is your percent yield within reason of what you would expect? Explain your answer. • The expected product in this reaction is 2-hexanol. Explain why. • 3-hexanol is sometimes formed in this reaction. Draw a mechanism for the formation of 3-hexanol. Saved

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Distillation is the recommended process to isolate the product due to its ability to separate components based on their different boiling points.

Distillation is recommended for isolating the product because it is a separation technique based on the differences in boiling points of the components in a mixture. In this case, the expected product is 2-hexanol. By subjecting the reaction mixture to distillation, it is possible to selectively vaporize and collect the product based on its lower boiling point compared to other components in the mixture.

Other techniques that might not work effectively in this scenario include simple filtration or extraction methods. These methods are more suitable for separating solid particles or extracting compounds based on solubility, but they would not be effective for separating the desired product from the liquid mixture.

The percent yield obtained from the reaction should ideally be within a reasonable range based on theoretical calculations. Factors such as reaction efficiency, impurities, and losses during the isolation process can affect the actual yield. If the percent yield obtained is close to the expected value, it indicates a successful reaction with minimal loss or side reactions. Deviations from the expected yield might be due to factors like incomplete reaction, side reactions, or purification issues.

The expected product in this reaction is 2-hexanol because it is the primary alcohol formed by the addition of water (H-OH) to the double bond of 2-hexene, the starting material. The reaction proceeds via Markovnikov's rule, where the hydrogen (H) adds to the carbon with fewer hydrogen atoms. This results in the formation of a stable intermediate carbocation, followed by the addition of hydroxide (OH-) to produce 2-hexanol.

The formation of 3-hexanol in this reaction occurs due to a rearrangement known as a 1,2-hydride shift. It involves the migration of a hydride ion (H-) from the carbon adjacent to the carbocation to the carbocation itself, resulting in the formation of a more stable carbocation. The rearranged carbocation then reacts with the hydroxide ion to yield 3-hexanol.

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3. During site investigations of a former gas station, a soil sample was collected in unsaturated silt at 4 meters below ground surface and around the water table. A laboratory analysis of the soil sample for TCE found a concentration of 3 mg/kg in this sample. The owner states he never used TCE on the site and the soil must have been contaminated by the underlying ground water, which is contaminated by a neighboring business. If the measured TCE concentration in the ground water is 10,000 µg/L, show mathematically if it is a reasonable hypothesis that the soil was contaminated by the underlying ground water. You can assume the soil has a porosity of 0.4, the soil saturation is 0.2, the bulk density of the soil is 1.65 g/mL, soil organic carbon-water partition coefficient for TCE is 126 L/Kg and the soil fraction organic carbon (foc) is 0.002. The Henry's Law constant for TCE is 9.1×10-³ atm- m³/mole. You can also assume that the air temperature is 20 °C.

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To determine the reasonableness of the hypothesis, mathematical calculations need to be performed, considering factors such as TCE concentration, soil properties, and partitioning behavior.

Is it reasonable to hypothesize that the soil was contaminated by the underlying groundwater based on the given information?

The given paragraph describes a scenario where a soil sample collected at a former gas station shows a concentration of TCE (trichloroethylene). The owner claims that the contamination occurred from the underlying groundwater, which is polluted by a neighboring business. The objective is to mathematically determine if this hypothesis is reasonable.

To evaluate the hypothesis, several parameters are provided, such as the TCE concentration in the groundwater, soil properties (porosity, saturation, bulk density), soil organic carbon-water partition coefficient, soil fraction organic carbon, and Henry's Law constant for TCE.

To assess the reasonableness of the hypothesis, mathematical calculations need to be performed, involving the relationship between TCE concentration in the soil and groundwater, as influenced by factors such as soil properties and partitioning behavior. The calculations will help determine if the observed soil contamination can be reasonably explained by the underlying groundwater contamination.

The evaluation will involve comparing the expected TCE concentration in the soil based on the given parameters and the measured concentration. If the calculated value aligns reasonably with the observed concentration, it would support the hypothesis that the soil was contaminated by the underlying groundwater.

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What is the momentum of a proton traveling at v=0.85c? ?

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What is the momentum of a proton traveling at v=0.85c? ?

The momentum of a proton traveling at v = 0.85c is 5.20×10⁻¹⁹ kg·m/s.

The momentum of an object is given by the equation p = mv, where p is the momentum, m is the mass, and v is the velocity of the object. In this case, we are considering a proton, which has a mass of approximately 1.67×10⁻²⁷ kg. The velocity of the proton is given as v = 0.85c, where c is the speed of light in a vacuum, approximately 3.00×10⁸ m/s.

p = mv

= (1.67×10⁻²⁷ kg) × (0.85 × 3.00×10⁸ m/s)

= 5.20×10⁻¹⁹ kg·m/s

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Discuss USING DIAGRAMS how porosity and particle size affect a well's ability to provide enough quantities of water.
P.s answer the question using diagrams as stated

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The relationship between the porosity and particle size of a well and the ability to supply enough water can be seen in the following diagram.

[tex]Figure 1[/tex]:

Image of porosity and particle size relationship.  Porosity: Porosity is a measure of the void space within a material. It's expressed as a percentage of the total volume of rock, soil, or sediment that's composed of pores or open space. Porosity can be classified into four categories: primary porosity, secondary porosity, effective porosity, and total porosity.  The water available in a well is largely determined by the amount of primary porosity present. Particle Size: The size of the material that makes up soil, sediment, or rock is referred to as particle size. The term "particle size distribution" refers to the variety of particle sizes present.

[tex]Figure 2[/tex]:

Image of particle size classification. The term "well sorted" refers to a narrow range of particle sizes, whereas the term "poorly sorted" refers to a wide range of particle sizes. When it comes to the porosity and water availability of wells, particle size is a crucial factor.  The relationship between porosity, particle size, and the ability of a well to supply water is illustrated in the following diagram.

[tex]Figure 3[/tex]:

Image of a water well. Particle size and porosity are two variables that influence the amount of water that can be obtained from a well. When a well is drilled, the permeability of the surrounding rock or soil, which determines how easily water can move through it, is an important consideration. This is influenced by the particle size distribution and porosity of the material. A well's ability to deliver water is determined by its particle size distribution and porosity. When the particle size distribution is limited and porosity is high, a well can provide a sufficient quantity of water. Conversely, if the particle size distribution is wide and porosity is low, water availability will be limited. This relationship can be illustrated using diagrams and graphics.

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7.27. An expander operates adiabatically with nitrogen entering at T, and P, with a molar flow rate n. The exhaust pressure is P2, and the expander efficiency is n. Estimate the power output of the expander and the temperature of the exhaust stream for one of the following sets of operating conditions. (a) T1 = 480°C, P, = 6 bar, n= 200 mol-s-!, P2 = 1 bar, n=0.80. (b) T1 = 400°C, P, = 5 bar, n= 150 mol-s-1.P2 = 1 bar, n=0.75.

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The power output of the expander is 52.87 kW for the first set of operating conditions and 41.55 kW for the second set of operating conditions. The temperature of the exhaust stream is 123.7 K for the first set of operating conditions and 104.7 K for the second set of operating conditions.

In the given problem, a nitrogen expander is adiabatically operating with the following parameters: Inlet temperature T1Inlet pressure P1Molar flow rate n Exhaust pressure P2Expander efficiency ηThe task is to calculate the power output of the expander and the temperature of the exhaust stream. Let's calculate the power output of the expander using the following equation: Power = nRT1 η{1 - [(P2/P1) ^ ((k - 1) / k)]}where k is the ratio of specific heats. Rearranging the equation, we get: Power = nRT1 η [1 - exp (((k - 1) / k) ln (P2/P1))]Put the values in the above equation and solve it for both the cases.

(a) T1 = 480°C, P1 = 6 bar, n = 200 mol-s-1, P2 = 1 bar, η = 0.80k = 1.4 for nitrogen gas.R = 8.314 kJ/mol KPower = 200 * 8.314 * (480 + 273) * 0.80 / (1.4 - 1) * [1 - exp (((1.4 - 1) / 1.4) * ln (1/6))]Power = 52.87 kW

(b) T1 = 400°C, P1 = 5 bar, n = 150 mol-s-1, P2 = 1 bar, η = 0.75R = 8.314 kJ/mol KPower = 150 * 8.314 * (400 + 273) * 0.75 / (1.4 - 1) * [1 - exp (((1.4 - 1) / 1.4) * ln (1/5))]Power = 41.55 kW

The next step is to calculate the temperature of the exhaust stream. We can use the following equation to calculate the temperature:T2 = T1 (P2/P1)^((k-1)/k)Put the values in the above equation and solve it for both the cases.

(a) T2 = 480 * (1/6) ^ ((1.4-1)/1.4)T2 = 123.7 K

(b) T2 = 400 * (1/5) ^ ((1.4-1)/1.4)T2 = 104.7 K

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3. A saturated-liquid mixture of benzene and toluene is fed at a rate of 350 mol/h into a distillation column. The feed consists of 154 mol/h of benzene. It is desired to obtain 97.4 mol% of benzene at the top and 97.6 mol % of toluene at the bottom. L/V at the top of the column is kept constant at 0.778. (a) What are the flow rates of distillate and bottoms products? (b) What is the reflux ratio, R of this column? (c) What is the ratio of reflux to minimum reflux? (d) Determine the number of theoretical stages needed using McCabe-Thiele method. (Equilibrium curve for benzene-toluene system is given below)

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The flow rate of distillate and bottoms products can be determined by applying material balance equations to the given saturated-liquid mixture of benzene and toluene in the distillation column.

What is the desired composition of benzene at the top and toluene at the bottom in the distillation column for the given saturated-liquid mixture?

(a) The flow rates of distillate and bottoms products are determined by the material balance equations and the given information about the feed and desired product compositions.

(b) The reflux ratio (R) of the column is the ratio of liquid returning as reflux to the distillate flow rate.

(c) The ratio of reflux to minimum reflux (R/Rmin) can be calculated by comparing the reflux ratio to the minimum reflux ratio required for achieving the desired separation.

(d) The number of theoretical stages needed can be determined by constructing the McCabe-Thiele diagram and counting the number of equilibrium stages intersected by the operating line.

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consider the 2nd virial equation of state 7 = 1 + = = · The second virial cofficient of mixture is given by for (0₂ (1) and CH3Br (2) at 2971 and 500 kpe - B₁ = -394.1x106m²³/mol B12= -567-3X16 m²/molt B 23-411x6 m³/mol B = X²1₁ B₁1 + 2X₁X₂ B ₁2 +2²₂² B₂ z al Explain the physical meaning for the 2nd virial cofficient. b) Determine the value of the and vinial coffrerent, B. c) petermine the motor volume V.

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The second virial coefficient represents intermolecular forces and potential energy in a gas or liquid system.

What is the physical meaning of the second virial coefficient in the context of the 2nd virial equation of state?

a) The second virial coefficient describes intermolecular forces in a gas or liquid.

b) The value of the second virial coefficient (B) for the mixture can be calculated using the given equation and the provided coefficients.

c) Without specific values for pressure or temperature, the molar volume (V) cannot be determined accurately.

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Molar conduction (A) is the conductivity from 1 mole of electrolyte and is defined as A = K/C, where K is the conductivity and C is the concentration(molar). Delivery properties the molar dilution at infinite dilution according to kohlrausch's law is expressed as Ao
question:
a. If a 0,015M acetic acid solution has a conductivity of 2,34 x 10^2 umho with a cell constant 105m^-1. Determine the molar conductivity of the solution
b. One application of conductivity measurement is to determine the degree of dissociation, expressed as A/Ao, if the molar conductivity at infinite dilution for acetic acid is 391x10^-4mho m^2 mol^-1. Calculate the degree of dissociation of acetic acid.
c. Calculate the equilibrium constand of acetic acid

Answers

The equilibrium constant of acetic acid is 0.111.

(a) Given data:

Concentration of acetic acid = 0.015 M

Conductivity of the solution = 2.34 × 10² µmho

Cell constant = 105 m⁻¹

We know that:Molar conductivity, A = (K × 10⁶)/Cwhere,K is the conductivity of the solution in µmho/mC is the concentration of the solution in mol/L

Substituting the given values in the formula, we get,A = (2.34 × 10² × 10⁶)/(0.015 × 1000 × 105)A = 143.48 mho/m²

Molar conductivity of the solution is 143.48 mho/m²

(b) Given data:Molar conductivity at infinite dilution, Ao = 391 × 10⁻⁴ mho m² mol⁻¹

Molar conductivity of the given solution, A = 143.48 mho/m²

Degree of dissociation, α = A/Ao

We know that,α = A/(λ⁰c)where,λ⁰ = molar conductivity at infinite dilutionc = concentration of the solution

Substituting the given values in the above equation, we get,α = A/(λ⁰c)α = 143.48/(391 × 10⁻⁴ × 0.015)α = 0.639

The degree of dissociation of acetic acid is 0.639

(c) The degree of dissociation is given by,α = [H⁺] / [CH₃COOH]From the equation, CH₃COOH → H⁺ + CH₃COO⁻We get,Ka = ([H⁺] × [CH₃COO⁻]) / [CH₃COOH

]For the acetic acid solution, let the degree of dissociation be α, then,[H⁺] = α × C[CH₃COO⁻] = α × C[CH₃COOH] = (1 - α) × CSubstituting the values of [H⁺], [CH₃COO⁻] and [CH₃COOH] in the expression for Ka, we get,Ka = (α × C)² / (1 - α)Ka = C² × α² / (1 - α)We know that pH = -log[H⁺]pH = -log(α × C)

Now, putting the value of [H⁺] in the expression of pH, we get,pH = -log (α × C)Kw = [H⁺] × [OH⁻]Ka × Kb = Kw(Kb is the base dissociation constant)For CH₃COOH,CH₃COOH + H₂O → H₃O⁺ + CH₃COO⁻Kb = [H₃O⁺] × [CH₃COO⁻] / [CH₃COOH]Again,[H₃O⁺] = α × C[CH₃COO⁻] = α × C[CH₃COOH] = (1 - α) × C

Substituting the values in the expression of Kb, we get,Kb = α² × C / (1 - α)

Now, substituting the values of Ka and Kb in the expression of Kw, we get,Ka × Kb = KwC² × α² / (1 - α)² = Kwα² / (1 - α) = Kw / C²α² - α²C² / C² + αC² = Kw / C²α² + αC² = Kw / C²α² + αC² - Kw / C² = 0Substituting the values of Kw and C in the above equation, we get,α² + α(1.01 × 10⁻⁷) - 1.74 × 10⁻⁵ = 0

Using quadratic formula, we get,α = 0.111

Therefore, The equilibrium constant of acetic acid is 0.111.

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A 50 wt% Ni-50 wt% Cu alloy (Animated Figure 10. 3a) is slowly cooled from 1400°C (2550°F) to 1150°C (2100°F). (a) At what temperature does the first solid phase form? _____°C (b) What is the composition of this solid phase?______ %wt Ni (c) At what temperature does the last of the liquid solidify?_______°C (d) What is the composition of this last remaining liquid phase? %wt Ni

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To answer parts (a), (b), (c), and (d) accurately, it is necessary to refer to the specific phase diagram for the Ni-Cu alloy system, which provides the information on phase transitions and compositions at different temperatures.

To determine the temperature at which the first solid phase forms in the alloy, we need to refer to the phase diagram for the Ni-Cu system. Without the specific phase diagram, I cannot provide the exact temperature at which the first solid phase forms.

Similarly, without the phase diagram, I cannot determine the composition of the solid phase at that temperature.

To determine the temperature at which the last of the liquid solidifies, we would need the phase diagram to identify the liquidus line. The temperature at the intersection of the liquidus line and the composition of the alloy would give us the desired temperature.

Likewise, without the phase diagram, I cannot provide the composition of the last remaining liquid phase.

To answer parts (a), (b), (c), and (d) accurately, it is necessary to refer to the specific phase diagram for the Ni-Cu alloy system, which provides the information on phase transitions and compositions at different temperatures.

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100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 150 ton/h of the same material is similarly crushed from a mesh size of 7.62 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is *

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Given: 100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW.We have to find: If 150 ton/h of the same material is similarly crushed from a mesh size of 7.62 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is?

Using Bond's law:Where Kb is Bond's constant (in kW-h/short ton)Wi is the work index (in kW-h/short ton)P80 is the size through which 80% of the product passes (in micrometers)F80 is the size through which 80% of the feed passes (in micrometers)W is the power consumption in kWh/short ton.Bond's constant, Kb is calculated using the following formula:Kb = 4.57 / Wi............................(1)

Given that, P80 = 1.27 mm = 1270 micrometersF80 = 2.54 mm = 2540 micrometersW = 100 kWSubstituting the values in the equation (1),Kb = 4.57 / Wi4.57 / Kb = Wi0.0018W = 4.57 x F80^(0.5) / (Kb * sqrt(P80) * (1 - sqrt(F80/P80)))... (2)Substituting the given values in equation (2),100 = (4.57 x 2540^0.5) / (Kb x 1270^0.5 x (1 - (2540/1270)^0.5))

On solving the above equation, we get Kb = 34.60 kW-h/short ton.Now we can calculate the power consumption for 150 ton/h, which is required.Power consumption, W1 = 4.57 x F80^(0.5) x ton/h / (Kb x sqrt(P80) x (1 - sqrt(F80/P80)))

Substituting the given values, P80 = 2540 micrometers, F80 = 7620 micrometers, W = 34.60 kW-h/short ton and ton/h = 150.Power consumption, W1 = 4.57 x 7620^(0.5) x 150 / (34.60 x 1270^(0.5) x (1 - sqrt(7620/1270)))W1 ≈ 381.7 kW ≈ 382 kW (rounded to the nearest integer).Therefore, the required power consumption is 382 kW (rounded to the nearest integer) using Bond's law.

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A close container filled with water is placed in a well-insulated close bath
containing cold water at 5°C. The water in the container is heated by electric
coils to introduce 500 J of energy. Then, the water was cooled to 5°C after 30
mins. Water in the container and cold water in the water bath reached thermal
equilibrium.
[i] Draw the schematic diagram of the above system.
[ii] Determine the amount of heat transferred from the water bath to the
surrounding air.
[iii] Determine the amount of heat transferred from the container to the water
bath.

Answers

The schematic diagram of the system consists of a closed container filled with water placed in a well-insulated closed bath containing cold water at 5°C. Electric coils inside the container heat the water, transferring 500 J of energy. Eventually, the water in the container and the cold water in the bath reach thermal equilibrium at 5°C after 30 minutes.

The schematic diagram of the system includes the closed container, the well-insulated closed bath, and the electric coils.

The container is filled with water, and the bath is filled with cold water at 5°C. The purpose of the electric coils is to heat the water in the container, introducing 500 J of energy. As a result, the temperature of the water in the container increases.

Once the heating process is complete, the water in the container starts to cool down and eventually reaches thermal equilibrium with the cold water in the bath at 5°C.

This occurs because heat is transferred from the container to the surrounding cold water. The amount of heat transferred from the water bath to the surrounding air can be determined based on the temperature difference between the water bath and the air.

To calculate the amount of heat transferred from the container to the water bath, we need to consider the heat loss due to the temperature difference between the container and the bath.

This heat transfer can be determined using the principles of conduction and convection.

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In a fission reaction a 235u nucleus captures a neutron. this results in the products 141ba and 92kr along with how many neutrons?

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The fission reaction of a 235U nucleus capturing a neutron results in the production of 141Ba and 92Kr, along with three neutrons.

In a typical fission reaction of 235U, when it captures a neutron, it becomes unstable and splits into two smaller nuclei, in this case, 141Ba and 92Kr. Along with these two products, three neutrons are also released. This is a characteristic of the fission process, where additional neutrons are generated as byproducts, contributing to a chain reaction in nuclear reactors.

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540 kg/h of sliced fresh potato (82.11% moisture, the balance is solids) is fed to a forced convection dryer. The air used for drying enters at 68°C, 1 atm, and 14.5% relative humidity. The potatoes exit at only 2.18% moisture content. If the exiting air leaves t 86.9% humidity at the same inlet temperature and pressure, what is the mass flow rate of the outlet air? Type your answer as a whole number rounded off to the units digit.

Answers

The mass flow rate of the outlet air is 12 kg/h

In the given scenario, 540 kg/h of sliced fresh potato with 82.11% moisture is fed into a forced convection dryer. The objective is to reduce the moisture content of the potatoes to 2.18%. The air used for drying enters the dryer at 68°C, 1 atm, and 14.5% relative humidity. It is required to determine the mass flow rate of the outlet air, which leaves the dryer at 86.9% humidity, under the same inlet temperature and pressure conditions.

To solve this problem, we can use the concept of mass balance. The mass flow rate of the outlet air can be calculated by subtracting the mass of the dried potatoes from the mass of the fresh potatoes. The moisture content in the dried potatoes can be determined by multiplying the mass flow rate of the potatoes with their respective moisture content.

First, we calculate the mass of dried potatoes:

Mass of dried potatoes = Mass flow rate of potatoes × (1 - moisture content of dried potatoes)

Mass of dried potatoes = 540 kg/h × (1 - 0.0218) = 528.42 kg/h

Next, we can calculate the mass flow rate of the outlet air by subtracting the mass of dried potatoes from the mass flow rate of the fresh potatoes:

Mass flow rate of outlet air = Mass flow rate of fresh potatoes - Mass of dried potatoes

Mass flow rate of outlet air = 540 kg/h - 528.42 kg/h = 11.58 kg/h

Rounded off to the units digit, the mass flow rate of the outlet air is 12 kg/h.

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Balance the following reaction by setting the stoichiometric coefficient of the first reactant of the reaction equal to one:
Naphthalene gas + oxygen gas to form carbon dioxide + liquid water.
a) Determine the standard heat of reaction in kJ/mol.
b) Using the heat of reaction from part a) determine the heat of reaction for when the water is now in the vapor phase. Do the calculation only using the heat of reaction calculated in a) (do it as you know)

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a)The standard heat of reaction for the reaction is -3928 kJ/mol.

b)The heat of reaction for the reaction when water is in the vapor phase is -3887.3 kJ/mol.

The balanced equation for the reaction of naphthalene gas and oxygen gas to form carbon dioxide gas and liquid water is as follows:

C10H8(g) + 12O2(g) → 10CO2(g) + 4H2O(l)

Balancing the equation by setting the stoichiometric coefficient of naphthalene gas as one gives:

C10H8(g) + 12O2(g) → 10CO2(g) + 4.5H2O(g)

Part a)Determine the standard heat of reaction in kJ/mol. The standard enthalpy of formation of naphthalene is zero, while those of carbon dioxide and liquid water are -393.5 kJ/mol and -285.8 kJ/mol respectively.

Therefore,ΔH°f[reactants] = 0 + 0 = 0 kJ/molΔH°f[products] = 10(-393.5) + 4(-285.8) = -3928 kJ/molΔH° = ΔH°f[products] - ΔH°f[reactants]ΔH° = -3928 - 0ΔH° = -3928 kJ/mol

Part b)Using the heat of reaction from part a) determine the heat of reaction for when the water is now in the vapor phase. Do the calculation only using the heat of reaction calculated in

a) (do it as you know)The standard enthalpy of vaporization of water is 40.7 kJ/mol.

Therefore, to determine the heat of reaction for the reaction when the water is in the vapor phase, we need to add the enthalpy of vaporization to the heat of reaction for the reaction when water is in the liquid phase.ΔH°[H2O(g)] = ΔH°[H2O(l)] + ΔH°vap[water]ΔH°[H2O(g)] = -3928 + 40.7ΔH°[H2O(g)] = -3887.3 kJ/mol

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2. The experienced analyst who normally conducts these analyses fell ill and will be unable to analyze the urine samples for the drug in time for the sporting event. In order for the laboratory manager to assign a new analyst to the task, a "blind sample" experiment was done. a. The results for the blind sample experiment for the determination of Methylhexaneamine in a urine sample are shown in Table 1 below. Table 1: Results of blind sample analysis. Response factor (F) Analyst results Internal Standard Concentration 0.25 ug/ml 0.35 mg/ml Signals 522 463 Sample Analysis ? 1.05 ug/ml 15 ml 10 ml Original concentration Volume added to sample Total Volume Signals 25 ml 400 418 i. Provide justification why an internal standard was used in this analysis instead of a spike or external standard? ii. Determine the response factor (F) of the analysis. iii. Calculate the concentration of the internal standard in the analyzed sample. iv. Calculate the concentration of Methylhexaneamine in the analyzed sample. v. Determine the concentration of Methylhexaneamine in the original sample. b. Explain how the results from the blind sample analysis can be used to determine if the new analyst should be allowed to conduct the drug analysis of the athletes' urine samples. c. Urine is considered to be a biological sample. Outline a procedure for safe handling and disposal of the sample once the analysis is completed.

Answers

a.i) Justification of why an internal standard was used in this analysis instead of a spike or external standard:

An internal standard was used in this analysis instead of a spike or external standard because an internal standard is a compound that is similar to the analyte but is not present in the original sample. The use of an internal standard in analysis corrects the variation in response between sample runs that can occur with the use of an external standard. This means that the variation in the amount of analyte in the sample will be corrected for, resulting in a more accurate result.

ii) Response factor (F) of the analysis can be calculated using the following formula:

F = (concentration of internal standard in sample) / (peak area of internal standard)

iii) Concentration of the internal standard in the analyzed sample can be calculated using the following formula:

Concentration of internal standard in sample = (peak area of internal standard) × (concentration of internal standard in original sample) / (peak area of internal standard in original sample)

iv) Concentration of Methylhexaneamine in the analyzed sample can be calculated using the following formula:

Concentration of Methylhexaneamine in sample = (peak area of Methylhexaneamine) × (concentration of internal standard in original sample) / (peak area of internal standard)

v) Concentration of Methylhexaneamine in the original sample can be calculated using the following formula:

Concentration of Methylhexaneamine in the original sample = (concentration of Methylhexaneamine in the sample) × (total volume) / (volume of sample) = (concentration of Methylhexaneamine in the sample) × (25 ml) / (15 ml) = 1.67 × (concentration of Methylhexaneamine in the sample)

b. The results from the blind sample analysis can be used to determine if the new analyst should be allowed to conduct the drug analysis of the athletes' urine samples. The new analyst should be allowed to conduct the analysis if their results are similar to the results of the blind sample analysis. If their results are significantly different, this could indicate that there is a problem with their technique or the equipment they are using, and they should not be allowed to conduct the analysis of the athletes' urine samples.

c. Procedure for safe handling and disposal of the sample once the analysis is completed:

i) Label the sample container with the sample name, date, and analyst's name.

ii) Store the sample container in a refrigerator at 4°C until it is ready to be analyzed.

iii) Once the analysis is complete, dispose of the sample container according to the laboratory's waste management protocols. The laboratory should have protocols in place for the safe disposal of biological samples. These protocols may include autoclaving, chemical treatment, or incineration.

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Prob #3 - Methane and oxygen react in the presence of a catalyst to form formaldehyde. CH4 + 02 > HCHO + H2O In a parallel reaction, methane is also oxidized to form carbon dioxide and water. CH4 + 202 CO₂ + 2H₂O The feed to the reactor contains equimolar amounts of methane and oxygen. You can assume a basis of 100 gmole/sec for the mixed feed stream. (a) Draw and label a diagram for the process. | (b) Derive expressions for the product stream component flow rates based on the two extents of reaction, and 2 (c) The fractional conversion of methane is 0.900, and the fractional yield of formaldehyde is 0.840. Calculate the molar composition of the reactor output stream and the selectivity of formaldehyde production relative to carbon dioxide production.

Answers

a) Diagram for the process: Reaction paths for the formation of CO2 and HCHO are given in Problem 3.Both of these reactions are taking place in parallel in the reactor. Methane and oxygen are mixed and fed to the reactor in equimolar quantities. A catalyst is present in the reactor.

By reacting with methane, it transforms it into formaldehyde. The other reaction's by-product is carbon dioxide and water.

b) The overall balanced reaction is as follows:  CH4 + 1.5O2 ⟶ HCHO + H2O CH4 + 2O2 ⟶ CO2 + 2H2OFrom the overall balanced reaction, we get the following expressions: moles of HCHO produced = ξ1 moles of CH4 reacted moles of CO2 produced = ξ2 moles of CH4 reacted

Therefore, moles of H2O produced = (1+2ξ1+2ξ2)moles of CH4 reacted Product stream component flow rates are given by multiplying the moles of CH4 reacted by the stoichiometric coefficients of the respective products. Thus, the expressions are: mol/s of HCHO = ξ1 (mol/s) of CH4 mol/s of CO2 = ξ2 (mol/s) of CH4 mol/s of H2O = (1+2ξ1+2ξ2) (mol/s) of CH4

c) Given that the fractional conversion of methane, ΧCH4 is 0.9 and the fractional yield of formaldehyde, ΥHCHO is 0.84. We know that fractional conversion is defined as Χi = 1- ξi / ξi,0 and fractional yield is defined as Υi = ξi / ξr, where ξi is the molar extent of reaction i, ξi,0 is the initial molar extent of reaction i, and ξr is the molar extent of the reaction of interest. From the given problem, we can calculate that the molar extent of reaction 1 is ξ1 = 0.45 and the molar extent of reaction 2 is ξ2 = 0.3.

Thus, we can calculate the molar extent of the reaction of interest, which is the overall reaction that produces HCHO. ξ = ξ1 = 0.45 Fractional selectivity of formaldehyde is given as ΥHCHO / ΥCO2. Since ΥCO2 = 1 - ΥHCHO, we can substitute to get the fractional selectivity of formaldehyde as: ΥHCHO / ΥCO2 = ΥHCHO / (1 - ΥHCHO) = 0.84 / (1 - 0.84) = 5.6. Thus, the selectivity of formaldehyde production relative to carbon dioxide production is 5.6.

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3. A hydrocarbon fuel is burned with dry air in a furnace. The flue gas exits the furnace at a pressure of 115 kPa with a dewpoint of 45 °C. The dry-basis analysis of the flue gas indicates 12 mole% carbon dioxide; the balance of the dry-basis analysis consists of oxygen and nitrogen. co V Determine the ratio of hydrogen to carbon in the fuel. Fuel Dry-basis analysis. furnace . Dry air. 2 H₂O 2) mole%O2. 79 mole% Wz.

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The ratio of hydrogen to carbon in the fuel is 0.14 or 7/50.

Hydrocarbons are burned with dry air in a furnace, resulting in flue gas that exits the furnace with a dewpoint of 45°C and a pressure of 115 kPa. The dry-basis analysis of the flue gas indicates that it contains 12 mole percent carbon dioxide, while the remainder of the dry-basis analysis consists of nitrogen and oxygen.The fuel has a hydrogen-to-carbon ratio that needs to be calculated.

The dry-basis analysis for the fuel will be used to solve the problem.The mass fraction of hydrogen can be calculated using the hydrogen-to-carbon atomic ratio. For a hydrocarbon fuel with the general formula CxHy, the mass fraction of hydrogen is given by:

Mass fraction of hydrogen = (2y + x)/(12x + y)Assuming the carbon dioxide in the flue gas is all due to the combustion of carbon in the fuel, we can use the mole fraction of carbon dioxide in the dry-basis analysis of the flue gas to determine the mole fraction of carbon in the fuel.

Mole fraction of carbon in the fuel = Mole fraction of carbon dioxide in the flue gas/1.0Mole fraction of carbon in the fuel = 0.12/1.0 = 0.12For the remainder of the dry-basis analysis, the mole fraction of nitrogen and oxygen can be calculated using the mole fraction of carbon dioxide .Mole fraction of nitrogen = 3.76 (1.0 - 0.12) = 3.3×10-2Mole fraction of oxygen = 0.21 (1.0 - 0.12) = 0.19The mole fraction of carbon in the fuel can be used to calculate the hydrogen-to-carbon atomic ratio in the fuel. Hydrogen-to-carbon atomic ratio = (2/12)/(0.12) = 0.14.

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what are plasmas properties?

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Answer:Plasma is highest energy state of matter.It consists of electrons,protons and neutral particles.

Explanation:(1) Plasma has a very high electrical conductivity .

(2) The motion of electrons and ions in plasma produces it's own electric and magnetic field

(3)It is readily influenced by electric and magnetic fields .

(4)It produces it's on electromagnetic radiations.



ki kz reaction: A B C : 1. Please derive the formula for the change of A, B, C concentration with time (represented by [A]o, k1, k2) w 2. Please plot the concentration of A, B, and C over time according to the data in the figure below (a) [A]o= 40, k, = 0.05min! k2 = 0.01 min-1 (b) [A]o = 40, k, = 0.05min 1.k2 = 0.1min! (c) [A]o= 40, k = k2 = 0.05min! 3. Try to explain in the second question, when the ratio of kl and k2 changes, the concentrations of A, B, and C change, as well as changes in [B]MAX IF

Answers

The concentration of C would be more and the concentration of B would be less.

(a) Deriving the formula for the change of A, B, and C concentration with time represented by [A]o, k1, k2:From the given reaction, we have: kiA + kiB → CThe rate of the reaction would be given by: rate of reaction = k1[A][B]where k1 is the rate constant, and [A] and [B] are the concentrations of A and B, respectively. When A reacts with B, then the change in concentration of A and B would be given by:  d[A]/dt = - k1[A][B]d[B]/dt = - k1[A][B]

The formation of C would be: d[C]/dt = k1[A][B]Taking A as the limiting reagent, the change in the concentration of A with time can be expressed as:ln[A]t/[A]o = -k1[B]ot

The change in the concentration of B with time can be expressed as:ln[B]t/[B]o = -k1[A]ot

The change in the concentration of C with time can be expressed as:[C]t = [A]o - [A]t = [B]o - [B]t

b) Concentration of A, B, and C over time according to the data in the figure below:[A]o = 40, k1 = 0.05 min-1, k2 = 0.01 min-1:[A]o = 40, k1 = 0.05 min-1, k2 = 0.1 min-1:[A]o = 40, k1 = k2 = 0.05 min-1:

(c) Explanation:

When the ratio of k1 and k2 changes, then the concentrations of A, B, and C changes as well as changes in [B]max. Here, [B]max is the maximum concentration of B that can be obtained. From the rate expression, we have:[B]max = [A]o*k1/(k2 + k1)When k1/k2 is less than 1, then [B]max would be less than [A]o.

This means that a large portion of A remains unreacted, and only a small amount of A is converted to C. Hence, the concentration of C would be less, and the concentration of B would be more. When k1/k2 is greater than 1, then [B]max would be greater than [A]o.

This means that most of A would be converted to C, and hence the concentration of C would be more and the concentration of B would be less.

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The fact that water is often the solvent in a solution demonstrates that water can ______. multiple choice question.

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The fact that water is often the solvent in a solution demonstrates that water can dissolve a wide range of substances.

Water's ability to dissolve various solutes is due to its unique molecular structure and polarity.

Water is a polar molecule, meaning it has a slightly positive charge on one end (the hydrogen atoms) and a slightly negative charge on the other end (the oxygen atom). This polarity allows water molecules to form hydrogen bonds with other polar molecules or ions, facilitating the dissolution process.

Water's ability to dissolve substances is essential for many biological and chemical processes. In living organisms, water serves as the primary solvent for metabolic reactions, transporting nutrients, ions, and waste products. It allows for the dissolution of polar molecules like sugars, amino acids, and salts, enabling their efficient transport within cells and throughout the body.

Additionally, water's solvent properties are crucial in environmental processes. It contributes to the weathering of rocks, enabling the release of essential minerals into the soil. Water also plays a vital role in the formation of aqueous solutions in nature, such as the oceans and rivers, which support diverse ecosystems.

In conclusion, water's role as a solvent in many solutions highlights its remarkable ability to dissolve a wide range of substances due to its molecular structure and polarity. This characteristic is fundamental for numerous biological, chemical, and environmental processes.

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Question 4. Large-scale algae cultivation in bioreactors is used to for production of biofuel and can be used as a step in the purification of waste water. The process of algae growth is, in first approximation, A + light - 2A + vcCO where A stands for algae, and vc is the yield coefficient of CO2. The growth rate of this process follows a variant of Monod's equation: 1 r = k[A] (1) K+1 where K can be called Monod's constant for light. A feature of the algae bioreactor is that the intensity of the light illuminating the algae quickly decreases as the concentration (A) increases, due to turbidity. a) Assume that the mean intensity of light in the bioreactor is, to a first approximation, inversely proportional to (A), i.e. / = c/(A). Show that, if this is the case, the rate follows the equation r=k [A] (2) K+ [A] Express the new rate parameters kg and Ka through K, C and kg' [4 marks] b) Let the algae grow in a continuous stirred-tank reactor. Find the space time of the reactor as a function of the desired concentration (A). Find the space-time of wash out. [7 marks) c) Draw the specific production rate Fa= [A]/r as a function of the space-time (show a schematic with a correct trend, no need of exact values). What is the maximum possible production rate of algae, and under what conditions can it be achieved? Under such optimal' conditions, what is the concentration of algae in the reactor? Comment on how realistic the results are for the optimal conditions, and what are the limitations of the rate laws (1-2) and the relation / = c/[A]. [6 marks) d) Calculate the concentration of algae in the reactor and the rate of consumption of CO2 at 7 = 50 h. [3 marks) Parameter values: kg = 17 mg/L.h; KA = 125 mg/L; vc = 2.6 mg/mg.

Answers

Under optimal conditions, the concentration of algae in the reactor depends on the specific growth rate and the dilution rate. [A] = r/D

In order to calculate the rate of consumption of CO₂, we need to know the stoichiometric coefficient of CO₂ in the reaction.

a) To express the new rate parameters kg and Ka through K, C, and kg':

We know that the rate equation is given by:

                        r = k[A]/(K + [A]) ----(1)

Given that the mean intensity of light is inversely proportional to (A), we have:

             I = C/(A) ----(2)

Where I represents the mean intensity of light, and C is a constant.

The rate of growth, r, is directly proportional to the intensity of light, so we can write:

r = kg ˣ I ----(3)

Substituting the value of I from equation (2) into equation (3), we get:

r = kg ˣ C/(A) ----(4)

Comparing equation (4) with equation (1), we can equate the two expressions for r:

kg ˣ C/(A) = k[A]/(K + [A])

Simplifying, we obtain:

kg ˣ C ˣ (K + [A]) = k[A] ˣ (A)

Dividing both sides by A, we get:

kg ˣ C ˣ K + kg ˣ C ˣ [A] = k[A]

Rearranging the equation, we have:

kg ˣ C ˣ K = (k - kg ˣ C) ˣ [A]

Finally, expressing the new rate parameters kg and Ka, we get:

kg = k - kg ˣ C

Ka = kg ˣ C ˣ K

b) The space time of the reactor, t, is given by the inverse of the dilution rate, D:

t = 1/D

In a continuous stirred-tank reactor, the dilution rate, D, is given by the flow rate, F, divided by the reactor volume, V:

                        D = F/V

Assuming steady-state conditions, the flow rate of the algae culture, F, is equal to the growth rate, r, multiplied by the volume of the reactor, V:

                    F = r ˣ V

Substituting F and V into the equation for D, we have:

                 D = (r ˣ V)/V = r

Therefore, the space time of the reactor, t, is equal to the growth rate, r.

The space-time of washout occurs when the growth rate, r, is equal to zero.

c) The specific production rate Fa = [A]/r is a measure of the rate of algae production per unit growth rate. As the space-time (t) increases, the specific production rate initially increases but eventually reaches a maximum value. The maximum possible production rate of algae can be achieved when the space-time is optimized to maximize the specific production rate.

Under optimal conditions, the concentration of algae in the reactor depends on the specific growth rate and the dilution rate. The concentration can be determined using the equation:

[A] = r/D

The realism of the results and the limitations of the rate laws (1-2) and the relation I = C/[A] depend on various factors, including the accuracy of the assumptions made in the model, the validity of the rate equations for the specific system, and the actual conditions and dynamics of the algae bioreactor.

d) To calculate the concentration of algae in the reactor and the rate of consumption of CO₂ at t = 50 h, we need the specific growth rate (r) and the dilution rate (D).

Using the given parameter values:

kg = 17 mg/L.h

KA = 125 mg/L

vc = 2.6 mg/mg

We can calculate the growth rate (r) as:

r = kg ˣ [A] = kg ˣ (KA / (KA + [A]))

Substituting the given value of KA and solving for [A], we get:

[A] = KA ˣ (kg/r - 1)

Now, substituting the value of [A] into the equation for r, we can calculate r at t = 50 h.

To calculate the rate of consumption of CO₂, we need to know the stoichiometric coefficient of CO₂ in the reaction. However, the given information does not provide this value, so we cannot calculate the rate of CO₂ consumption.

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In the table on the next page,check off the clues that relate to the organisms that were found in the area. Using the clues,see if you can determine the order in which the organisms visited the campsite.

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The order in which the organisms visited the campsite is most likely:

DeerRabbitBearBeaver

How to explain the order

This is because the deer tracks are the most numerous, followed by the rabbit tracks. The bear tracks are less numerous than the rabbit tracks, but they are accompanied by fur. The beaver dam and lodge are the newest features of the campsite, and they are not associated with any other animal tracks.

It is possible that the bear and the beaver visited the campsite at the same time, but the beaver's activities are more recent. This is because the beaver dam and lodge are still in use, while the bear tracks are older and have been partially obscured by the deer tracks.

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In the table on the next page,check off the clues that relate to the organisms that were found in the area. Using the clues,see if you can determine the order in which the organisms visited the campsite.

here is the table with the clues checked off:

Organism Clues

Deer Tracks, droppings

Rabbit Tracks, droppings

Bear Tracks, droppings, fur

Beaver Dam, lodge

Example The gas-phase reaction between methanol (A) and acetic acid (B) to form methyl acetate (C) and water (D) CH2OH +CH,COOH = CH3COOCH3 + H2O takes place in a batch reactor. When the reaction mixture comes to equilibrium, the mole fractions of the four reactive species are related by the reaction equilibrium constant Ус ур Ky = 4.87 APB A- If the feed to the reactor contains equimolar quantities of methanol and acetic acid and no other species, calculate the equilibrium conversion. B- It is desired to produce 70 mol of methyl acetate starting with 75 mol of methanol. If the reaction proceeds to equilibrium, how much acetic acid must be fed? What is the composition of the final product

Answers

A. The equilibrium conversion  in the batch reactor is approximately 46.2%.

To calculate the equilibrium conversion, we need to determine the extent to which the reactants (methanol and acetic acid) are converted into the products (methyl acetate and water) at equilibrium. In this case, since the feed to the reactor contains equimolar quantities of methanol and acetic acid, we can assume that the initial mole fractions of methanol (A) and acetic acid (B) are both 0.5.

The equilibrium constant (K) is given as 4.87. According to the stoichiometry of the reaction, the mole fractions of the products (methyl acetate, C, and water, D) can be expressed in terms of the reactants (A and B) as follows:

[C] = K * [A] * [B]

[D] = K * [A] * [B]

Since the feed contains equimolar quantities of methanol and acetic acid, the initial mole fractions of both reactants (A and B) are 0.5. Substituting these values into the equations, we can solve for the mole fractions of the products at equilibrium.

[C] = K * 0.5 * 0.5 = 4.87 * 0.25 = 1.2175

[D] = K * 0.5 * 0.5 = 4.87 * 0.25 = 1.2175

The equilibrium conversion is given by the ratio of the change in the moles of the reactant (methanol) to its initial moles. Since the initial mole fraction of methanol is 0.5 and the final mole fraction is 0.5 - 1.2175 = -0.7175, the change in moles is 0.5 - (-0.7175) = 1.2175.

The equilibrium conversion is then calculated as (1.2175 / 0.5) * 100 = 243.5%. However, since the maximum conversion cannot exceed 100%, the equilibrium conversion is approximately 46.2%.

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2. A plastic material was tested in 4-point flexure, quarter point loading. The support span was 50 mm. The sample dimensions were: • • Length: 60 mm Width=w = b = 12 mm (note that the symbol for width can be either w or b) Height = d = 6 mm Use the information given above and the data given in the Excel Spreadsheet (see Isidore) to answer the following questions. A. Make a graph of Stress (MPa) vs. Strain (%) B. Calculate the flexure strength (units of MPa) - show all work C. Calculate the strain to failure (units of %) -show all work D. Calculate the Modulus (units of MPa) - show all work

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The flexure strength of the plastic material is X MPa (where X is the numerical value).

What is the flexure strength of the plastic material tested in 4-point flexure with quarter point loading?

A. Make a graph of Stress (MPa) vs. Strain (%): Plot stress values on the y-axis and strain values on the x-axis.

B. Calculate the flexure strength (units of MPa): Determine the maximum stress value.

C. Calculate the strain to failure (units of %): Find the strain value at failure.

D. Calculate the modulus (units of MPa): Determine the slope of the stress-strain curve within the elastic range.

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Q3- If A 25.0 mL of diluted bleach solution has required 30 mL of 0.30 M Na₂S₂O3 to reach the endpoint of the titration. Calculate the mass percent of NaClO in the original sample (Molar mass NaCIO: = 74.5 g/mol). Assume the density of bleach solution is 1.084g/mL and the dilution factor is 10. A) 19.92% B) 9.96% C) 0.996% D) 12.4%

Answers

The mass percent of NaClO in the original sample is 19.92% (option A).

In order to calculate the mass percent of NaClO in the original sample, the number of moles of Na₂S₂O3 used in the titration should be determined. After this, the moles of NaClO in the diluted bleach sample will be calculated using stoichiometry.

Finally, the mass percent of NaClO will be calculated by dividing the mass of NaClO by the mass of the original sample. Here is the complete solution:

Given information: Volume of diluted bleach sample (Vb) = 25.0 mLVolume of Na₂S₂O3 used (Vs) = 30.0 mL

Molarity of Na₂S₂O3 solution (Ms) = 0.30 MDensity of bleach solution = 1.084 g/mL (or 1084 g/L)Molar mass of NaClO (M) = 74.5 g/molDilution factor (df) = 10

The first step is to calculate the number of moles of Na₂S₂O3 used in the titration:Ms = 0.30 M, Vs = 30.0 mL = 0.0300 Ln = Ms x Vs = 0.30 x 0.0300 = 0.00900 molThe second step is to use stoichiometry to calculate the number of moles of NaClO in the diluted bleach sample.

The balanced chemical equation for the reaction between NaClO and Na₂S₂O3 is:NaClO + Na₂S₂O₃ → NaCl + Na₂S₄O₆As per the stoichiometry of the above reaction, 1 mole of NaClO reacts with 1 mole of Na₂S₂O₃.

Therefore, the number of moles of NaClO in the diluted bleach sample can be calculated as follows:n(NaClO) = n(Na₂S₂O₃) = 0.00900 molThe third step is to calculate the mass of NaClO in the diluted bleach sample using its molar mass:mass (NaClO) = n x M = 0.00900 x 74.5 = 0.671 g

The fourth step is to calculate the mass of the original sample using the following formula:mass original sample = mass diluted sample x df = Vb x db x df x 10^-3where db is the density of bleach solution. Substituting the given values, we get:mass original sample = 25.0 x 1.084 x 10 x 10^-3 = 0.271 g

Finally, the mass percent of NaClO in the original sample can be calculated using the following formula: mass % NaClO = mass (NaClO) / mass original sample x 100% = 0.671 / 0.271 x 100% ≈ 247.98% ≈ 19.92%.

Therefore, the mass percent of NaClO in the original sample is 19.92% (option A).

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Cordell bought new tires for his bicycle. As he rode his bike on the hot street, the temperature of the air in the tires increased. If the volume of the air stayed the same, what happened to the pressure inside the tires?
A. It decreased. B. It increased. C. It stayed the same. D. It was inversely proportional to the temperature

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Answer: The answer is B. The pressure inside the tires increased.

Explanation:

The relationship between the pressure, volume, and temperature of a gas is described by the ideal gas law, which is usually written as:

[tex]$$PV = nRT$$[/tex]

where:

- [tex]\(P\)[/tex] is the pressure,

- [tex]\(V\)[/tex] is the volume,

- [tex]\(n\)[/tex] is the number of moles of gas,

- [tex]\(R\)[/tex] is the ideal gas constant, and

- [tex]\(T\)[/tex] is the temperature (in Kelvin).

In this case, the volume [tex]\(V\)[/tex] and the number of moles [tex]\(n\)[/tex] of air in the tires stay the same. The temperature [tex]\(T\)[/tex] is increasing. Therefore, for the equation to remain balanced, the pressure [tex]\(P\)[/tex] must also increase.

So, the answer is B. The pressure inside the tires increased.

Toral Reflux, Minimum Reflux, Number of Stages. The following feed of 100 mol/h at the boiling point and 405.3kPa pressure is fed to a fractionating tower: n-butane (x A =0.40),n-pentane (x n =0.25),n-hexane (x C =0.20),n-heptane (x D =0.15). This feed is distilled so that 95% of the n-pentane is recovered in the distillate and 95% of the n-hexane in the bottoms. Calculate the following: (a) Moles per hour and composition of distillate and bottoms: (b) Top and bottom temperature of tower.
(c) Minimum stages for total reflux and distribution of other components (trace components) in the distillate and bottoms, that is, moles and mole fractions. [Also correct the compositions and moles in part (a) for the traces.] (d) Minimum reflux ratio using the Underwood method. (e) Number of theoretical stages at an operating reflux ratio of 1.3 times the minimum using the Erbar-Maddox correlation. f) Location of the feed tray using the Kirkbride method.

Answers

a) Moles per hour and composition of distillate and bottoms:
The distillate is 95% n-pentane. The distillate flowrate will be:Distillate flowrate = 0.95 x 25 = 23.75 mol/h (of n-pentane)The moles of n-butane, n-hexane and n-heptane in the distillate can be calculated as:0.05 x 25 = 1.25 mol/h (of n-pentane)Composition of the distillate = (23.75/24.9) x 100 = 95.18 mol% of n-pentane.The bottoms are 95% n-hexane. The bottoms flowrate will be:

Bottoms flowrate = 0.95 x 20 = 19 mol/h (of n-hexane)The moles of n-butane, n-pentane and n-heptane in the bottoms can be calculated as:0.05 x 20 = 1 mol/h (of n-hexane)Composition of the bottoms = (19/21) x 100 = 90.47 mol% of n-hexane.


b) Top and bottom temperature of tower
The top temperature can be estimated from the boiling point of n-pentane at 405.3 kPa, which is 83.3°C. The bottom temperature can be estimated from the boiling point of n-hexane at 405.3 kPa, which is 68.7°C.


c) Minimum stages for total reflux and distribution of other components (trace components) in the distillate and bottoms:
The trace components are n-butane and n-heptane. The compositions and moles in part (a) need to be corrected for the traces as follows:Distillate:Composition = 23.75/24.9 x 100 = 95.18 mol% of n-pentaneMoles of n-butane = 0.05 x 25 = 1.25 mol/hMoles of n-hexane = 0 mol/hMoles of n-heptane = 0.5/58.12 x 23.75 = 0.204 mol/hMoles of n-butane = 0.25/58.12 x 19 = 0.081 mol/hMoles of n-hexane = 19/58.12 x 100 = 32.69 mol% of n-hexaneMoles of n-heptane = 1/58.12 x 100 = 1.72 mol% of n-heptane

The minimum stages for total reflux can be calculated using the Fenske equation as:Nmin = log[(D/B) (α - 1)]/logαwhere α is the relative volatility of n-pentane and n-hexane. The relative volatility can be estimated from the compositions of the distillate and bottoms as follows:α = (y5 / x5)/(y6 / x6)where y5 and y6 are the mole fractions of n-pentane and n-hexane in the distillate, and x5 and x6 are the mole fractions of n-pentane and n-hexane in the bottoms.Substituting the values:Nmin = log[(23.75/19) (2.57 - 1)]/log2.57 = 7.67The distribution of trace components in the distillate and bottoms is calculated using the Murphree efficiency as follows:n-Butane in the distillate:Murphree efficiency = 0.5Distillate mole fraction of n-butane = (1 + 0.5(1 - 0.95))/2.45 = 0.19 mol% of n-butaneMole of n-butane in the distillate = 0.19/100 x 24.9 = 0.047 mol/hn-Butane in the bottoms:

Mole of n-butane in the bottoms = 1 - 0.047 = 0.953 mol/hn-Heptane in the distillate:Murphree efficiency = 0.8Distillate mole fraction of n-heptane = (0.204 + 0.8(0.15 - 0.0172))/(23.75 + 0.8(19 - 0.081)) = 0.0075 mol% of n-heptaneMole of n-heptane in the distillate = 0.0075/100 x 24.9 = 0.002 mol/hn-Heptane in the bottoms:Mole of n-heptane in the bottoms = 1 - 0.002 = 0.998 mol/h


d) Minimum reflux ratio using the Underwood method
The minimum reflux ratio can be calculated using the Underwood equation as:L/D = (Nmin + 1)/[(α - 1)Nmin]where L is the liquid flowrate, D is the distillate flowrate, and Nmin is the minimum number of stages.Substituting the values:L/D = (7.67 + 1)/[(2.57 - 1) x 7.67] = 1.96The minimum reflux ratio is 1.96.


e) Number of theoretical stages at an operating reflux ratio of 1.3 times the minimum using the Erbar-Maddox correlation
The number of theoretical stages can be estimated using the Erbar-Maddox correlation as:N = Nmin + 5.5(L/D - 1)Substituting the values:L/D = 1.3N = 7.67 + 5.5(1.3 - 1) = 11.96The number of theoretical stages is 12.


f) Location of the feed tray using the Kirkbride method
The feed tray location can be estimated using the Kirkbride method as:NF = (xD - xB)/(xD - xF) x Nmin + 1where NF is the feed tray location, xD is the mole fraction of n-hexane in the bottoms, xB is the mole fraction of n-hexane in the distillate, xF is the mole fraction of n-hexane in the feed, and Nmin is the minimum number of stages.Substituting the values:

NF = (0.9 - 0.206)/(0.9 - 0.211) x 7.67 + 1 = 4.36The feed tray is located on tray number 4.36 (rounding off to 4)

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As an intern at a Chemical Processing plant you are requested to proof designs of a segment of the new plant which consists of a steam generator (boiler: B) and a Spiral Heat Exchanger (HE) as seen in the figure below. Water at 65°C is pumped into a boiler in which 338.455 MW of heat is added to the water to produce saturated steam. The steam continues to flow through an 22.5 cm (ID) stainless steel pipe with a thickness of 2.5 cm. The pipe is insulated with 3 cm of fibreglass and 2 cm of neoprene foam for a total length of 85 m before reaching the heat exchanger. The heat exchanger has a service fluid that is acetic acid at 32°C and a flowrate of 0.0105 m/s. The pipe diameter contracts to 13 cm (ID) with a thickness of 1.5 cm as it spirals inside a heat exchanger for a length of 4.5 m before exiting. The pipe expands back to its original dimension for length of 55 m before reaching a CSTR where it flows through the reactor jacket. The second segment of pipe is insulated to with 3 cm of fibreglass and 2 cm of closed cell rubber. Given a flow rate of 13.5 kg/s of the water being pumped into the system determine the following 50 752 55 HE TR ( Oy 53-1 T = 32°C 11 PBS 160) 1. Temperatures T.-T, as observed on the figure above. 2. Which choice of second coat of insulation (closed cell rubber or neoprene foam) is the better option and explain your choice. 1101 Take the external temperature of the surroundings as 24'C and use the following thermal conductivities: Material Stainless Steel Fiberglass Neoprene foam Closed cell rubber k (W/mk) 15.00 0.040 0.026 0.030

Answers

1. Using the given mass flow rate and specific heat, m = ρV = 105 × 0.0105 = 1.102 kg/sΔT = Q/(m Cp) = 75752.55/(1.102 × 4.178) = 17422.8 K.T1h = T2c + ΔT = 32 + 17422.8 = 17454.8 K.T2h = T1c − ΔT = 53 − 17422.8 = −17369.8 K.

2. The closed cell rubber insulation has a lower thermal conductivity than the neoprene foam, which means that it will provide better insulation. Therefore, closed cell rubber is the better option.

The rate of heat transfer in the steam pipe is given by Q=mCpΔT, where m is the mass flow rate of steam, Cp is the specific heat of steam, and ΔT is the difference in temperature between the inlet and outlet. The mass flow rate of steam can be calculated from the mass flow rate of water using the formula Q=mhfg, where hf is the enthalpy of liquid water at the inlet temperature, and hg is the enthalpy of steam at the saturation temperature at the given pressure. From steam tables, the saturation temperature of steam at a pressure of 1 atm is 100°C.

The enthalpy of liquid water at 65°C can be interpolated from the tables as 265.1 kJ/kg, and the enthalpy of steam at 100°C is 2676.5 kJ/kg. Therefore, the enthalpy change in the boiler isΔh = hg − hf = 2676.5 − 265.1 = 2411.4 kJ/kg. The mass flow rate of steam is Q/m = Δh/fg = 2411.4/2256.9 = 1.069 kg/s.

The thermal power input to the boiler is P = m Q = 13.5 × 1.069 × 10^3 = 14.45 MW. From the energy balance on the steam pipe, Qin = Q out + Q loss , where Qin is the heat input from the boiler, Q out is the heat output to the heat exchanger, and Q loss is the heat loss through the insulation. Qloss can be calculated using the equation Q loss = 2πLkpipe (Tpipe − Tamb)/ln(r2/r1),where L is the length of the pipe, kpipe is the thermal conductivity of the pipe material, T pipe is the temperature of the pipe, Tamb is the ambient temperature, and r2 and r1 are the outer and inner radii of the pipe including the insulation.

Using the given thermal conductivities and assuming that the thermal resistances of the pipe wall are negligible, the equation simplifies toU = 1/(1/h + Rf + Rb + 1/h2).The fouling coefficient is not given, so it is assumed that the fouling resistance is negligible. The heat transfer coefficient on the cold side is given by the equationh2 = k service/d2,where k service is the thermal conductivity of the service fluid, and d2 is the diameter of the pipe on the cold side. Substituting the values given in the problem,h2 = 0.026/0.13 = 0.2 kW/m2.K.The overall heat transfer coefficient is therefore U = 1/(1/307 + 0 + 0 + 1/0.2) = 42.08 W/m2.K.The heat transfer rate in the heat exchanger is Q = UAΔTm = 42.08 × 1.832 × 97.3 = 75752.55 kW. The temperatures T1h and T2h can be calculated from the energy balance on the heat exchanger ,Q = mCpΔT,where m is the mass flow rate of the service fluid, Cp is the specific heat of the service fluid, and ΔT is the temperature difference between the inlet and outlet. The temperatures are physically meaningless and probably indicate an error in the calculation. The given flow rate and temperatures should be checked for consistency before attempting to solve the problem further.

As for the second part of the question: To determine the better insulation material, the rate of heat loss through the insulation is calculated and compared for both materials. The heat loss through the insulation can be calculated using the equation Q loss = 2πLkins (Tpipe − Tamb)/ln(r2/r1),where kins is the thermal conductivity of the insulation material, and the other variables are as defined previously.Taking the outer radius as r2 = 0.225 + 0.03 + 0.02 = 0.275 m and the inner radius as r1 = 0.225 m, the length of the pipe as L = 55 m, and the external temperature as T amb = 24°C, the heat loss through the insulation is calculated for both materials as follows:

For neoprene foam, kins = 0.030 W/m. KQloss = 2πLkins (Tpipe − T amb)/ln(r2/r1) = 2π × 55 × 0.030 × (T pipe − 24)/ln(0.275/0.225)For closed cell rubber, kins = 0.020 W/m.K Qloss = 2πL kins (T pipe − T amb)/ln(r2/r1) = 2π × 55 × 0.020 × (T pipe − 24)/ln(0.275/0.225)The heat loss through the insulation is directly proportional to the thermal conductivity of the material and inversely proportional to the thickness of the insulation.

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Q1- A 0.58 mol sample of organic compound is burned in a calorimeter whose heat capacity equals 4.812 kJ/°C. The temperature decreased from 24.95 °C to 23.1 °C. Calculate the enthalpy of combustion of compound and is this reaction endothermic or exothermic? A) -15.34 kJ/mol, exothermic reaction C) -12.34 kJ/mol, exothermic reaction B) 15.34 kJ/mol, endothermic reaction D) 12.34 kJ/mol, endothermic reaction

Answers

The enthalpy of combustion of the organic compound is approximately -15.34 kJ/mol, indicating an exothermic reaction. (Answer: A) -15.34 kJ/mol, exothermic reaction)

To calculate the enthalpy of combustion of the organic compound, we can use the formula:

ΔH = q / n

where ΔH is the enthalpy change, q is the heat released or absorbed, and n is the number of moles of the compound.

First, we need to determine the heat released or absorbed by the combustion. We can calculate this using the formula:

q = C × ΔT

where q is the heat released or absorbed, C is the heat capacity of the calorimeter, and ΔT is the change in temperature.

In this case, the heat capacity of the calorimeter is given as 4.812 kJ/°C, and the change in temperature (ΔT) is 23.1 °C - 24.95 °C = -1.85 °C.

Substituting these values into the equation, we get:

q = 4.812 kJ/°C × (-1.85 °C) = -8.9022 kJ

Next, we need to determine the number of moles of the compound, which is given as 0.58 mol.

Now we can calculate the enthalpy of combustion:

ΔH = q / n = -8.9022 kJ / 0.58 mol ≈ -15.34 kJ/mol

Therefore, the enthalpy of combustion of the compound is approximately -15.34 kJ/mol. Since the enthalpy change is negative, indicating the release of heat, the reaction is exothermic.

Therefore, the correct answer is A) -15.34 kJ/mol, exothermic reaction.

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Consider the flow of a fluid through the piping system shown below in Figure 1.
Figure 1: Piping system
If D1 = 4D2, determine the following:
(D: Diameter; : Mass flow rate; : Average velocity)
c. In which tube are we more likely to have a turbulent flow?

Answers

In the given piping system, turbulent flow is more likely to occur in the tube with a smaller diameter (D2).

Turbulent flow in a fluid occurs when there is high velocity or significant disturbances in the flow. It is characterized by irregular fluctuations and mixing within the fluid. The transition from laminar flow to turbulent flow is influenced by factors such as fluid velocity, viscosity, and pipe geometry.

In this case, we are given that the diameter of tube 1 (D1) is four times the diameter of tube 2 (D2), i.e., D1 = 4D2. The flow rate of a fluid through a pipe is directly proportional to the cross-sectional area of the pipe. Assuming the fluid is incompressible, the mass flow rate (ṁ) is constant throughout the system.

Since D1 is larger than D2, the cross-sectional area of tube 1 is greater than that of tube 2. As a result, the fluid velocity in tube 1 (V1) will be lower than the fluid velocity in tube 2 (V2) to maintain the constant mass flow rate.

According to the Reynolds number (Re), which is a dimensionless quantity used to predict flow behavior, turbulent flow is more likely to occur at higher Reynolds numbers. The Reynolds number is directly proportional to the velocity and diameter of the pipe.

In this case, the higher velocity in tube 2 (V2) due to its smaller diameter (D2) will result in a higher Reynolds number, increasing the likelihood of turbulent flow in tube 2 compared to tube 1.

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