calculate the work (kj) done during a reaction in which the internal volume expands from to against an outside pressure of group of answer choices 0 kj; no work is done. -7.3 kj 7.3 kj -17 kj 17 kj

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Answer 1

The work done during this reaction is -0.1013 kJ. Therefore, the correct option is 2) -7.3 kJ.

According to the question, the work done during a reaction in which the internal volume expands from 0.75 L to 1.25 L against an external pressure of 2 atm has been asked to calculate. The formula for work done by a system can be given as: Work = -PΔV Where P is the external pressure and ΔV is the change in volume of the system. The pressure is given as 2 atm, the change in volume can be calculated as:

ΔV = Vf - ViΔV

= 1.25 L - 0.75 L

= 0.5 L

Now, putting the given values into the formula of work, we get:Work = -PΔVWork = -(2 atm)(0.5 L)Work = -1 atm L The units of atm L are not in standard units of Joules, but we can convert them using the conversion factor 1 atm L = 101.3 J Therefore, Work = -1 atm L × 101.3 J/atm L Work = -101.3 J = -0.1013 kJ.

Thus, the work done during this reaction is -0.1013 kJ. Therefore, the correct option is 2) -7.3 kJ.

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6. Hydrogen gas reacts with bromine gas to give hydrogen bromide vapor. H2 + Br2w → 2 HBre) The following mechanism is proposed for this reaction: Br, * 2 Br! (fast) H2 + Br! - HBr + H (slow) H + Br! - HBO (extremely fast) (a) What is the rate law for this mechanism? (b) In the mechanism, is Br' a catalyst, or is it an intermediate? Justify your answer.

Answers

a) The rate law for this step can be expressed as: rate = k[H2][Br!] b)  Br! is an intermediate in this mechanism.

(a) The rate law for this mechanism can be determined by looking at the slowest step, which is the rate-determining step. In this case, the slow step is the second step:

H2 + Br! -> HBr + H (slow)

The rate of this step depends on the concentrations of H2 and Br! according to the stoichiometry of the reaction. Since the stoichiometry shows that one molecule of H2 reacts with one molecule of Br!, the rate law for this step can be expressed as: rate = k[H2][Br!]

where k is the rate constant.

(b) In the mechanism, Br! is an intermediate, not a catalyst. A catalyst is a species that is involved in the reaction but is regenerated unchanged at the end of the reaction. In contrast, an intermediate is a species that is formed in one step of the reaction and consumed in a subsequent step.

In the proposed mechanism, Br! is formed in the first fast step (Br, * -> 2 Br!), and then it reacts in the slow step (H2 + Br! -> HBr + H). It is not regenerated at the end of the reaction; instead, it is consumed in the overall reaction. Therefore, Br! is an intermediate in this mechanism.

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1. The thermal decomposition of diethyl ether is believed to proceed by the mechanism k₁ C₂H5OC₂H5 CH3 •+•CH₂OC₂H5 k_1 k₂ CH3 +C₂H5OC₂H5 → C₂H6 +• CH₂OC₂H5 K3 • CH₂OC₂H5 ⇒ CH3 • +CH3CHO →>> Show that this mechanism can lead to the rate law -(C₂H5)20 = K[C₂H5OC₂H5] (Note: k should be denoted by k1, k-1, k2, k3)

Answers

The given mechanism can lead to the rate law -(C₂H₅)20 = K[C₂H₅OC₂H₅], where K = 1/2.

To show that the given mechanism can lead to the rate law -(C₂H₅)20 = K[C₂H₅OC₂H₅], we need to determine the rate-determining step and the overall rate expression based on the proposed mechanism.

Let's analyze the steps in the mechanism:

Step 1: C₂H₅OC₂H₅ → CH₃ • + • CH₂OC₂H₅ (Rate constant k₁)

Step 2: CH₃ + C₂H₅OC₂H₅ → C₂H₆ + • CH₂OC₂H₅ (Rate constant k₂)

Step 3: • CH₂OC₂H₅ + CH₃CHO → products (Rate constant k₃)

The rate-determining step is usually the slowest step in a reaction mechanism, and it determines the overall rate of the reaction. In this case, let's assume that step 1 is the rate-determining step.

The rate of the overall reaction will depend on the rate of the rate-determining step. From step 1, we can write the rate expression as:

Rate = k₁[C₂H₅OC₂H₅]

Now, we need to express the concentration of C₂H₅OC₂H₅ in terms of the initial concentration [C₂H₅OC₂H₅]₀. According to the stoichiometry of the reaction, the concentration of C₂H₅OC₂H₅ will decrease by twice the rate of its appearance:

-(d[C₂H₅OC₂H₅] / dt) = 2(d[CH₃] / dt)

Since the rate of the disappearance of C₂H₅OC₂H₅ is equal to the rate of the appearance of CH₃, we can write:

d[C₂H₅OC₂H₅] / dt = -2(d[CH₃] / dt)

Integrating both sides:

∫[C₂H₅OC₂H₅]₀C₂H₅OC₂H₅ d[C₂H₅OC₂H₅] = -2∫[CH₃]₀CH₃ d[CH₃]

ln([C₂H₅OC₂H₅]₀ / [C₂H₅OC₂H₅]) = -2([CH₃] - [CH₃]₀)

Simplifying:

ln([C₂H₅OC₂H₅]₀ / [C₂H5OC₂H₅]) = -2[C₂H₅]20

Rearranging the equation:

-(C₂H₅)20 = (1/2)ln([C₂H₅OC₂H₅]₀ / [C₂H5OC₂H₅])

Comparing the obtained equation with the rate law -(C₂H₅)20 = -K[C₂H₅OC₂H₅] -K[C₂H₅OC₂H₅], we can see that the rate law is consistent with the proposed mechanism. The rate constant K can be expressed as K = 1/2.

Therefore, the given mechanism can lead to the rate law -(C₂H₅)20 = K[C₂H₅OC₂H₅], where K = 1/2.

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The standard heat of reaction is O-106.5kJ/mol O-2.8kJ/mol O-213.0kJ/mol O-5.6kJ/mol If the reactor is operated at T=79.5°C (the outlet stream is at 79.5°C), the heat duty of the reactor is O-213.0KW 014537.4kW O-106.5kW 029074.8kW

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The standard heat of reaction is -213.0 kJ/mol which indicates that the reaction is exothermic.

Hess’s law: The law states that the enthalpy change of a chemical reaction is the same regardless of the number of steps taken to get to the products. In simple words, the enthalpy change of a chemical reaction depends on the initial and final state of the reaction and not on the reaction pathway.

As the standard heat of reaction is -213.0 kJ/mol, which indicates that the reaction is exothermic. Since the reactor is operated at T=79.5°C, the heat duty of the reactor is -213.0 kW.

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3.4kg/s of organic liquid of specific heat capacity 2.5Kj/kg.k is cooled in a heat exchanger from 363K to 313K using water whose temperature rises from 293K to 318K flowing counter currently. After maintenance the pipework is wrongly connected so that the two streams, flowing at the same rates as previously, are now in co-current flow. Assuming that the overall heat transfer coefficient is unaffected: a. show that the new outlet temperatures of the organic liquid and the water will be 320.6K and 314.5K respectively

Answers

The new outlet temperatures of the organic liquid and water in the co-current flow are approximately 320.6 K and 314.5 K, respectively.

To calculate the new outlet temperatures of the organic liquid and water in the co-current flow, we can use the principle of energy balance.

For the organic liquid:

The heat transfer equation for the organic liquid can be written as:

[tex]m_o \times C_o \times (T_o - T_out_o) = m_w \times C_w \times (T_out_w - T_w)[/tex]

Where:

m_o = mass flow rate of the organic liquid = 3.4 kg/s

C_o = specific heat capacity of the organic liquid = 2.5 kJ/kg·K

T_o = initial temperature of the organic liquid = 363 K

T_out_o = outlet temperature of the organic liquid (to be determined)

m_w = mass flow rate of water = 3.4 kg/s

C_w = specific heat capacity of water = 4.18 kJ/kg·K

T_out_w = outlet temperature of water (to be determined)

T_w = initial temperature of water = 293 K

Using the given values and rearranging the equation, we can solve for T_out_o:

[tex]3.4 \times 2.5 \times (363 - T_out_o) = 3.4 \times 4.18 \times (T_out_w - 293)\\8.5 \times (363 - T_out_o) = 14.212 \times (T_out_w - 293)\\3085.5 - 8.5 \times T_out_o = 14.212 \times T_out_w - 4148.996\\8.5 \times T_out_o + 14.212 \times T_out_w = 7234.496 --- (1)[/tex]

For water:

Since the overall heat transfer coefficient is unaffected, the same equation can be used to solve for T_out_w:

[tex]8.5 \times T_out_w + 14.212 \times T_o_u_t_o = 7234.496[/tex] --- (2)

Solving equations (1) and (2) simultaneously, we find:

[tex]T_out_o[/tex] ≈ 320.6 K

[tex]T_out_w[/tex]≈ 314.5 K

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Which statement correctly describes the hydroxyl (-OH) groups found in the steroid prednisone (structure shown)?
1) There is one primary alcohol group and one tertiary alcohol group.
2) There is one primary alcohol group and one secondary alcohol group.
3) There is one tertiary alcohol group and one carboxylic acid.
4) There is one secondary alcohol group and one tertiary alcohol group.

Answers

The hydroxyl (-OH) groups found in the steroid prednisone consist of one primary alcohol group and one secondary alcohol group.

The steroid prednisone contains two hydroxyl (-OH) groups. A primary alcohol group is characterized by the hydroxyl group directly attached to a carbon atom that is bonded to only one other carbon atom. In prednisone, one of the hydroxyl groups is attached to a carbon atom that meets this criterion, making it a primary alcohol group.

On the other hand, a secondary alcohol group is characterized by the hydroxyl group directly attached to a carbon atom that is bonded to two other carbon atoms. In prednisone, the other hydroxyl group is attached to a carbon atom that satisfies this condition, making it a secondary alcohol group.

Therefore, the correct statement is that the hydroxyl groups found in prednisone consist of one primary alcohol group and one secondary alcohol group.

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Will silver nitrate and sodium chloride form aqueous solutions in the presence of water? Explain your answer.

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Yes, both silver nitrate (AgNO3) and sodium chloride (Na Cl) will form aqueous solutions in the presence of water. the Ag+ and NO3− ions from AgNO3 will form one aqueous solution, while the Na+ and Cl− ions from Na Cl will form another aqueous solution.

When AgNO3 and Na Cl are dissolved in water, they form aqueous solutions. Na+ and Cl− ions in Na Cl dissociate in water, whereas Ag+ and NO3− ions in AgNO3 dissociate in water.

Content

Load Ionic compounds, such as silver nitrate (AgNO3) and sodium chloride (Na Cl), are highly soluble in water.

This is because the polarity of water molecules causes them to be attracted to and surround the charged ions in the solid. When this happens, the ions become hydrated and can freely move in the water, creating an aqueous solution.

In the case of silver nitrate and sodium chloride, they will form separate aqueous solutions when dissolved in water.  This is because they are both strong electrolytes, meaning that they completely dissociate in water.

Therefore, the Ag+ and NO3− ions from AgNO3 will form one aqueous solution, while the Na+ and Cl− ions from NaCl will form another aqueous solution.

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Question 7 When considering an acid and bases, which of the following best describes what an acid should be expected to do? A. Produce aqueous Hydroxide B. Produce Water C. Produce aqueous D. Hydrogen lons or Hydronium E. Produce a Salt

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The best choice that describes what an acid is expected to do is option D: Produce hydrogen ions (H⁺) or hydronium ions (H₃O⁺). option D

Acids are substances that, when dissolved in water or in an aqueous solution, release hydrogen ions. The presence of these hydrogen ions is what characterizes an acid and gives it its acidic properties. In some cases, the released hydrogen ions can combine with water molecules to form hydronium ions, which is a more accurate representation of the species in solution.

The general chemical equation for the dissociation of an acid in water can be represented as follows:

HA (acid) + H₂O (water) → H₃O⁺ (hydronium ion) + A⁻ (conjugate base)

Here, HA represents the acid molecule, and A⁻ represents the conjugate base that forms after the acid has donated a proton (H⁺).

Acids are known for their ability to donate protons (H⁺) to other substances, such as bases or water molecules, resulting in the formation of a new species. This proton donation leads to the characteristic acidic properties, such as the sour taste, ability to turn litmus paper red, and reactivity with certain metals.

Options A, B, and E are not accurate descriptions of what an acid does. Acids do not produce aqueous hydroxide (OH⁻) ions, as those are characteristic of bases.

Acids do not produce water as their primary function, although water can be a byproduct of certain acid-base reactions. Lastly, acids do not directly produce salts, but they can react with bases to form salts as a result of neutralization reactions.

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A company is required to upgrade existing distillation column with better peripherals. A vendor has suggested two options as given below. Give your recommendation. Take interest rate of 11 %. [30 Marks] Option-1 Equipment Condenser Reboiler Reflux pump Reflux drum Piping Valves Installation cost, $ Operating cost, $/year Service life, year 50,000 7,000 10 75,000 5,000 15 7,500 8,000 10 12,500 10 8,000 15 6,500 oooo 10 Option-2 Equipment Condenser Reboiler Reflux pump Reflux drum Piping Valves Installation cost, $ 75,000 75,000 10,500 14,500 8,000 6,500 Operating cost, $/year Service life, year 4,000 15 5,000 15 5,000 15 Ն| Ն| Ն| Ն 15 1 15 10 Olin

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By performing a thorough analysis of the financial aspects and considering other relevant factors, a recommendation can be made regarding which option, Option-1 or Option-2, is the most suitable for upgrading the existing distillation column.

Based on the provided information, the company is considering two options for upgrading their existing distillation column. Option-1 includes different equipment, installation costs, operating costs per year, and service life, while Option-2 offers alternative specifications. To make a recommendation, we need to consider the financial aspects and select the option that provides the most value.

In this case, we can evaluate the options by calculating the net present value (NPV) of each option. NPV takes into account the initial investment, operating costs, and interest rate to determine the profitability of an investment over its service life.

By discounting the operating costs over the service life using an interest rate of 11%, we can calculate the NPV for each option. The option with a higher NPV would be considered more financially favorable.

Furthermore, we should also consider factors such as the specific requirements of the company, technical compatibility, reliability, and any potential long-term benefits or drawbacks associated with the options.

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arrange the following elements in order of increasing electronegativity: phosphorus, sulfur, silicon, chlorine

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The increasing order of electronegativity for the given elements is: silicon < sulfur < phosphorus < chlorine.

The elements arranged in order of increasing electronegativity are silicon, sulfur, phosphorus, and chlorine.

Electronegativity is a measure of an atom's tendency to attract electrons towards itself in a chemical bond. In general, electronegativity increases across a period from left to right on the periodic table.

Silicon, with an electronegativity value of 1.90, has the lowest electronegativity among the given elements. Sulfur follows with an electronegativity of 2.58, indicating a slightly higher electron-attracting ability. Phosphorus has an electronegativity of 2.19, placing it between sulfur and chlorine. Chlorine has the highest electronegativity among the elements listed, with a value of 3.16, indicating its strong ability to attract electrons.

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still for the reaction: 3bro-(aq) --> bro3-(aq) 2br-(aq), what is the rate of reaction in m/s, if δ[bro- ]/δt = -0.086 m/s?

Answers

The rate of reaction for the given reaction is -0.258 m/s.

What is the rate of the reaction?

The given rate of reaction can be written as:

δ[BrO₃⁻]/δt = 3 * δ[BrO₋]/δt = -0.086 m/s

Using the stoichiometric coefficients of the reactant and product in the balanced equation:

In this case, the stoichiometric coefficient of BrO₋ is 3, which means that for every one mole of BrO₋ consumed, three moles of BrO₃⁻ are produced.

Since the rate of change of concentration of BrO₋ is given as -0.086 m/s, we can calculate the rate of reaction by multiplying it by the stoichiometric coefficient:

Rate of reaction = 3 * (-0.086 m/s)

Rate of reaction = -0.258 m/s

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Could an organism be Methyl red and Voges-Proskauer positive?
Explain.

Answers

Methyl red and Voges-Proskauer tests are two of the many tests that are commonly used in microbiology for the identification of microorganisms. The methyl red (MR) test and the Voges-Proskauer (VP) test are usually performed together to identify bacteria that are able to produce and maintain stable acid end-products from glucose fermentation.

The two tests are used to differentiate between different species of the family Enterobacteriaceae. In general, the tests are considered to be mutually exclusive; in other words, an organism that tests positive for one test is expected to test negative for the other test.

However, there are some exceptions, and a few microorganisms have been reported to be positive for both tests. One example of such a microorganism is Enterobacter cloacae. Thus, it is possible for an organism to be both Methyl red and Voges-Proskauer positive, but it is not common.

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1). A biological reaction follows this equation, S=P, in presence of an enzyme E. Derive the reaction rate expression.
2). A biological reaction follows this equation, S=P, in presence of an enzyme E. Derive the reaction rate expression in presence of a competition inhibitor I.

Answers

The reaction rate expression is given by the following equation: Reaction rate = (dP/dt) = k[E][S]Here, k is the rate constant, [E] is the concentration of enzyme, and [S] is the concentration of substrate.

The reaction rate is directly proportional to the concentrations of both the enzyme and the substrate. This means that if the concentration of either the enzyme or the substrate is increased, the reaction rate will also increase. If either the enzyme or the substrate is limiting, the reaction rate will be limited.

Now, let's consider the presence of a competitive inhibitor I. A competitive inhibitor is a molecule that binds to the active site of the enzyme, preventing the substrate from binding. The presence of a competitive inhibitor reduces the effective concentration of the enzyme, making it less available to react with the substrate. maximum value.

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(a) Find the inertia tensor for a book (a uniform rectan- gular parallelpiped) of mass M and width a, thick- ness b, and height c rotating about a corner (point O in the figure). Use axes parallel to the books edges

Answers

The inertia tensor for a book (a uniform rectangular parallelepiped) of mass M and dimensions a × b × c rotating about a corner (point O) can be calculated as follows.

The moments of inertia of each face of the book can be computed as follows:Along the x-axis, the moment of inertia about the centre of mass is given by Ix = (1/12)M(b² + c²).Then the parallel axis theorem can be used to find the moment of inertia about point O as follows.

IxO = Ix + M(d²), where d is the perpendicular distance from the centre of mass to point O.Along the y-axis, the moment of inertia about the centre of mass is given by Iy = (1/12)M(a² + c²).Then, using the parallel axis theorem, the moment of inertia about point O can be found as follows:IyO = Iy + M(e²), where e is the perpendicular distance from the centre of mass to point O.Along the z-axis, the moment of inertia about the centre of mass is given by Iz = (1/12)M(a² + b²).

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which compound ethyl acetate or 1 butanol has the higher boiling point why

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Ethyl acetate (CH3COOCH2CH3) has a higher boiling point than 1-butanol (CH3CH2CH2CH2OH).

The boiling point of a compound is determined by the strength and type of intermolecular forces present in the substance. In this case, we compare the intermolecular forces between ethyl acetate and 1-butanol.

Ethyl acetate:

Ethyl acetate exhibits dipole-dipole interactions and dispersion forces. It has a polar carbonyl group (C=O) that can form dipole-dipole interactions with other ethyl acetate molecules. These intermolecular forces are relatively strong compared to dispersion forces, contributing to a higher boiling point.

1-butanol:

1-butanol also exhibits dipole-dipole interactions and dispersion forces. It has a hydroxyl group (OH) that can form hydrogen bonds with other 1-butanol molecules. Hydrogen bonding is a stronger intermolecular force than dipole-dipole interactions, but it is weaker than the dipole-dipole interactions and hydrogen bonding observed in some other compounds.

Ethyl acetate has a higher boiling point than 1-butanol due to the presence of stronger dipole-dipole interactions. While both compounds exhibit dipole-dipole interactions and dispersion forces, the dipole-dipole interactions in ethyl acetate are stronger, resulting in a higher boiling point.

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how many moles of lithium hydroxide would be required to produce 57.5 g of li₂co₃ in the following chemical reaction? 2 lioh(s) co₂ (g) → li₂co₃ (s) h₂o (l)

Answers

To produce 57.5 g of Li₂CO₃, approximately 0.5 moles of lithium hydroxide (LiOH) would be required.

1 mole is defined as the amount (mass) of a substance that contains the same number of elementary entities (atoms, molecules or ions) as there are atoms in 12.000 g of isotope of carbon.

In the balanced chemical equation, we can see that 2 moles of LiOH react to produce 1 mole of Li₂CO₃. Using the molar mass of Li₂CO₃ (73.89 g/mol), we can calculate the number of moles by dividing the given mass (57.5 g) by the molar mass. Since the stoichiometry of the reaction is 2:1 (LiOH:Li₂CO₃), we divide the calculated moles by 2 to find the moles of LiOH required.

To produce 57.5 g of Li₂CO₃, approximately 0.5 moles of lithium hydroxide (LiOH) would be needed. This calculation helps determine the stoichiometric ratio between reactants and products in the given chemical reaction and provides insights into the amount of reagents required for the desired product.

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2. weak acids, such as acetic acid, typically have an odor whereas strong acids often do not. why is that? explain.

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Weak acids, such as acetic acid, often have an odor, while strong acids do not. This is because weak acids undergo partial ionization, releasing a small amount of volatile acid molecules into the air, which can be detected by our sense of smell.

Strong acids, on the other hand, undergo complete ionization, forming a high concentration of ions in solution, but not volatile acid molecules, hence no odor is detected.

Acidity is determined by the ability of an acid to donate protons (H+ ions) in a solution. Weak acids, like acetic acid (CH3COOH), only partially ionize in water, resulting in a small concentration of H+ ions and the corresponding conjugate base (CH3COO-). The undissociated molecules of the weak acid have a tendency to evaporate and enter the air, where they can be detected by our sense of smell.

In contrast, strong acids, such as hydrochloric acid (HCl), sulfuric acid (H2SO4), or nitric acid (HNO3), undergo complete ionization in water, producing a high concentration of H+ ions and their respective conjugate bases. As a result, there are no volatile acid molecules present in the solution to release an odor.

Therefore, the presence of an odor in weak acids is due to the partial ionization and the release of volatile acid molecules, while strong acids do not exhibit an odor because they completely ionize and lack volatile acid molecules.

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In a packed absorption column, hydrogen sulphide (H2 S) is removed from natural gas by dissolution in an amine solvent. At a given location in the packed column, the mole fraction of H2 S in the bulk of the liquid is 5×10−3, the mole fraction of H2 S in the bulk of the gas is 3×10−2, and the molar flux of H2 S across the gasliquid interface is 2×10−5 mol s−1 m−2. The system can be considered dilute and is well approximated by the equilibrium relationship, yA∗=5xA∗. a) Find the overall mass-transfer coefficients based on the gas-phase, KGA, and based on the liquid phase, KLA. [4 marks] b) It is also known that the ratio of the film mass-transfer coefficients is kLA /kGA =4. Determine the mole fractions of H2 S at the interface, both in the liquid and in the gas. [8 marks] c) In another absorption column with a superior packing material there is a location with the same bulk mole fractions as stated above. The molar flux has a higher value of 3×10−5 mol s−1 m−2. The ratio of film mass-transfer coefficients remains, kLA/ kGA =4. The same equilibrium relationship also applies. Explain how you would expect the overall mass-transfer coefficients and the interfacial mole fractions to compare to those calculated in parts a) and b). [4 marks] d) In the previous parts of this problem you have considered the thin-film model of diffusion across a gas-liquid interface. Explain what you would expect to be the ratio of the widths of the thin-films in the gas and liquid phases for this system if the diffusion coefficient is 105 times higher in the gas than in the liquid, but the overall molar concentration is 103 times higher in the liquid than in the gas.

Answers

The ratio of the widths of the thin-films in the gas and liquid phases for the given system, where the diffusion coefficient is 105 times higher in the gas than in the liquid, but the overall molar concentration is 103 times higher in the liquid than in the gas, would be approximately 1.0194.

a) To find the overall mass-transfer coefficients based on the gas-phase (KGA) and based on the liquid phase (KLA), we can use the equation:

KGA = (mol fraction of [tex]H_2S[/tex] in gas phase - mol fraction of [tex]H_2S[/tex] in liquid phase) / (molar flux of [tex]H_2S[/tex])

KGA = (3×10−2 - 5×10−3) / (2×10−5) = 1.4×10^3 s/m

Similarly, we can calculate KLA using the same equation:

KLA = (mol fraction of [tex]H_2S[/tex] in liquid phase - mol fraction of [tex]H_2S[/tex] in gas phase) / (molar flux of [tex]H_2S[/tex])

KLA = (5×10−3 - 3×10−2) / (2×10−5) = [tex]-1.4 * 10^3[/tex] s/m

(b) Given the ratio of film mass-transfer coefficients, kLA/kGA = 4, we can use the equilibrium relationship yA∗ = 5xA∗ to find the mole fractions of [tex]H_2S[/tex] at the interface.

From the equilibrium relationship, yA∗ = 5xA∗, we have:

3×10−2 = 5×10−3 * 5

yA∗ = 2×10−2

So, the mole fraction of H2S at the interface in the gas phase (yA) is 2×10−2.

To find the mole fraction in the liquid phase (xA), we use the same equilibrium relationship:

5×10−3 = xA * 5

(c) In the new absorption column with superior packing material, if the bulk mole fractions remain the same and the ratio of film mass-transfer coefficients (kLA/kGA) remains 4, we would expect the overall mass-transfer coefficients (KGA and KLA) to be higher compared to the previous values calculated in parts a) and b). This is because the superior packing material promotes more efficient mass transfer between the gas and liquid phases.

d) Given that the diffusion coefficient is 105 times higher in the gas phase than in the liquid phase and the overall molar concentration is 103 times higher in the liquid phase than in the gas phase, we would expect the ratio of the widths of the thin-films to be  (105/103) ≈  1.0194. This suggests that  a slightly wider film in the gas phase compared to the liquid phase.

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when you first mix the reactants in an equilibrium reaction, which reaction (forward or reverse) is the faster one? [ select ] as time goes on, which reaction slows down? [ select ] and which reaction speeds up? [ select ]

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When the reactants of an equilibrium reaction are initially mixed, the forward reaction is faster than the reverse reaction. However, as time goes on, the rate of the forward reaction decreases, while the rate of the reverse reaction increases.

Eventually, the rates of the two reactions become equal and the system reaches a state of dynamic equilibrium, where the concentrations of the reactants and products remain constant.To understand why this happens, it's important to remember that an equilibrium reaction is a reversible reaction, meaning that it can proceed in both the forward and reverse directions. When the reactants are first mixed, there are only a small number of product molecules present.

Therefore, the forward reaction, which forms product molecules, is initially faster than the reverse reaction, which consumes them. As more and more product molecules are formed, the rate of the forward reaction decreases because there are fewer reactant molecules available to react. At the same time, the rate of the reverse reaction increases because there are more product molecules available to react. This trend continues until the rates of the two reactions are equal and the system reaches a state of dynamic equilibrium.

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One mole of a substance has the same volume as one mole of any other substance, regardless of what substances are being compared.a. trueb. false

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One mole of a substance has the same volume as one mole of any other substance, regardless of what substances are being compared, is false. A mole is defined as the quantity of a substance that contains as many entities (atoms, molecules, or other particles) as the number of atoms in 12 g of pure carbon-12.

One mole of any substance has a volume equivalent to that of another substance only if the two substances have the same mass and density or if they have the same molar mass and are in the same physical state. The volume of one mole of a gas is roughly 24 liters at standard temperature and pressure (STP).

It is impossible to say that the volume of one mole of any substance is equal to that of any other substance without specifying their molar mass and density. So, the statement is false.Therefore, the volume of one mole of a substance is not the same as that of another substance because it is determined by the molar mass, which is unique to each substance.

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Which of the following solutions has the highest hydroxide-ion concentration?
Question options:
0.10 M NaCN
0.10 M NaI
0.10 M NH4ClO4
0.10 M NaNO3
0.10 M NH4Cl

Answers

The 0.10 M NaOH has the highest hydroxide-ion concentration.

Hydroxide-ion concentration can be obtained from the concentration of hydroxide ions in a solution. A strong base such as sodium hydroxide (NaOH) will ionize completely in water and release hydroxide ions, which would lead to a high hydroxide-ion concentration in a solution.In this case, none of the options presented contains NaOH, which is a strong base. So, we will use the ionic product of water (Kw = 1.0 x 10^-14) to solve the question.

Kw = [H+][OH-]At 25°C, the pH of a neutral solution is 7.0. This means that the hydrogen-ion concentration ([H+]) is equal to the hydroxide-ion concentration ([OH-]).[H+] = [OH-] = 1.0 x 10^-7 M.

From this equation, we can also find out that if the hydroxide-ion concentration is higher than 1.0 x 10^-7 M, then the hydrogen-ion concentration must be lower than 1.0 x 10^-7 M.So, the solution that has the highest hydroxide-ion concentration is the one that contains a strong base. The only strong base among the options is NaOH. Therefore, the answer is 0.10 M NaOH.

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Identify a cation. an atom that has lost an electron an atom that has gained a proton an atom that has gained an electron an atom that has lost a proton Identify an anion. an atom that has gained a neutron an atom that has gained an electron an atom that has lost an electron an atom that has lost a neutron and a proton Identify the element that has an atomic number of 40. zirconium neon calcium bromine

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A cation is an atom that has lost an electron. An anion, on the other hand, is an atom that has gained an electron. The element with an atomic number of 40 is zirconium (Zr).

A cation is an atom that has lost an electron. When an atom loses an electron, it becomes positively charged due to an imbalance between the number of protons and electrons. This loss of an electron results in a net positive charge on the atom, and it is then referred to as a cation. Cations are typically formed by metals that readily donate electrons to achieve a stable electron configuration. For example, sodium (Na) can form a cation by losing one electron to become Na+.

An anion, on the other hand, is an atom that has gained an electron. When an atom gains an electron, it becomes negatively charged due to an excess of electrons compared to protons. This gain of an electron results in a net negative charge on the atom, and it is then referred to as an anion. Anions are typically formed by nonmetals that readily accept electrons to achieve a stable electron configuration. For example, chlorine (Cl) can form an anion by gaining one electron to become Cl-.

The element with an atomic number of 40 is zirconium (Zr). Zirconium is a transition metal located in Group 4 of the periodic table. It has an atomic number of 40, which means it has 40 protons in its nucleus. Zirconium is commonly used in various applications due to its high corrosion resistance, low thermal neutron absorption, and excellent mechanical properties. It is often found in alloys and is used in industries such as aerospace, nuclear, and chemical. Zirconium has a silvery-gray appearance and is relatively abundant in the Earth's crust. It has a relatively high melting point and is known for its ability to form stable oxides, such as zirconia (ZrO2). Zirconium compounds are also used in ceramics, refractory materials, and catalysts. Overall, zirconium plays a vital role in various technological advancements and industrial processes.

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Final answer:

A cation is an atom that has lost an electron, forming a positive ion. An anion is an atom that has gained an electron, resulting in a negative ion. The element with an atomic number of 40 is zirconium.

Explanation:

An atom that has lost an electron is called a cation. Cations are positive ions formed by losing electrons. For example, a calcium atom with 20 protons and 20 electrons loses two electrons to become a cation with a 2+ charge.

An atom that has gained an electron is called an anion. Anions are negative ions formed by gaining electrons. For instance, when a chlorine atom gains one electron, it becomes a chloride ion with a 1- charge.

The element with an atomic number of 40 is zirconium. Zirconium has 40 protons in its nucleus.

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According to band theory, semiconductors conduct electricity by promoting electrons from their valence band to their conduction band. True O False

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True. According to band theory, semiconductors conduct electricity by promoting electrons from their valence band to their conduction band

What is the band theory?

According to band theory, semiconductors conduct electricity by promoting electrons from their valence band to their conduction band.

In a semiconductor material, the valence band is the highest energy band that is completely filled with electrons at absolute zero temperature.

The conduction band is the next higher energy band, and it is partially filled or empty of electrons at absolute zero.

When an external energy source, such as heat or an electric field, is applied to the semiconductor, it can promote electrons from the valence band to the conduction band, allowing them to move freely and conduct electricity.

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Carbon dioxide at 300 K and 1 atm is to be pumped through a duct with a 10 cm x 10 cm square cross-section at a rate of 250 kg/h. The walls of the duct will be at a temperature of 450 K. The exit CO2 temperature reaches 380 K. Assuming steady operating conditions, and smooth surfaces of the duct, determine the following: a. Reynolds number (Re) b. Nusselt number (Nu) c. Convection coefficient (h) d. Heat transfer rate (q) e. Length of the duct (L) Properties of the CO2: k = 0.0197 W/m.K; µ = 165 x 10-7 N.s/m²; μw = 210 x 10-7 N.s/m²; Cp = 8910 J/kg.K; Pr=0.746

Answers

The Nusselt number (Nu) = 108.18, the convection coefficient (h) = 114.21 W/m2.K, the heat transfer rate (q) = 102.789 W, and the length of the duct (L) = 1.37 cm.

a. Reynolds number (Re):It is a dimensionless quantity that represents the ratio of the inertial forces to the viscous forces in a fluid. The Reynolds number for the given data is, Re = (ρvL)/µ = (ρQ/AVL)/µ= (250/3600) / (1/100 * 1/100 * 0.165 * 10^-6) * 0.1= 5079.17

b. Nusselt number (Nu): The Nusselt number is a dimensionless number that represents the ratio of convective to conductive heat transfer at a boundary. The Nusselt number for the given data is Nu = hL/k = 0.023 Re^0.8 Pr^0.3 = 0.023(5079.17)^0.8 (0.746)^0.3= 108.18

c. Convection coefficient (h):The convection coefficient is a measure of the rate of heat transfer between a solid and a fluid. The convection coefficient for the given data is,

h = kNu/L = k (0.023 Re^0.8 Pr^0.3) / L

= 0.0197 (0.023 (5079.17)^0.8 (0.746)^0.3) / 0.1

= 114.21 W/m2.K

d. Heat transfer rate (q): The amount of heat transferred per unit time is referred to as the heat transfer rate. The heat transfer rate for the given data is,q

= hA(Tw - Texit) = 114.21 (0.1 * 0.1) (450 - 380)

= 102.789 We.

Length of the duct (L):The length of the duct is calculated using the heat transfer rate as follows,q = kA(Tw - Texit)/L, where A is the area of the cross-section of the duct, which is 0.1*0.1=0.01 m^2.

Therefore,L = kA(Tw - Texit)/q= (0.0197) (0.01) (450 - 380) / 102.789= 0.0137 m or 1.37 cmTherefore, the Reynolds number (Re) = 5079.17,

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What is the difference between co-current heat exchanger and counter-current heat exchanger? A. Counter-current heat exchanger is smaller in size compared to co-current heat exchanger B. Counter-current heat exchanger has baffles in the shell side where as co-current heat exchanger does not has any baffle C. Counter-current heat exchanger can produce better temperature control compared to co-current heat exchanger D. Counter-current heat exchanger can have cross-temperature between fluid in and fluid out where as co-current cannot have cross-temperature

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The correct statement is C: Counter-current heat exchanger can produce better temperature control compared to co-current heat exchanger.

Co-current and counter-current heat exchangers are two common types of heat exchangers used in various industrial applications. The main difference between these two types lies in the flow direction of the hot and cold fluids.

In a co-current heat exchanger, also known as parallel flow heat exchanger, the hot and cold fluids flow in the same direction. They enter the heat exchanger from the same end and exit from the opposite end. This results in a gradual decrease in temperature along the length of the heat exchanger.

On the other hand, in a counter-current heat exchanger, also known as counter-flow heat exchanger, the hot and cold fluids flow in opposite directions. They enter the heat exchanger from opposite ends and flow towards each other. This configuration allows for a more efficient heat transfer because the temperature difference between the hot and cold fluids is maintained throughout the length of the heat exchanger.

While the options A and B mentioned in the question are not accurate differentiators between the two types of heat exchangers, option C is correct.

In a counter-current heat exchanger, the temperature difference between the hot and cold fluids remains higher throughout the heat exchange process, allowing for better temperature control and a higher overall heat transfer coefficient. This means that a counter-current heat exchanger can achieve a closer approach to the desired temperature between the two fluids.

Option D is incorrect. Both co-current and counter-current heat exchangers can have a temperature difference between the fluid entering and exiting the heat exchanger, but it is more pronounced and maintained in a counter-current heat exchanger due to the flow arrangement.

The main difference between a co-current and counter-current heat exchanger lies in the flow direction of the hot and cold fluids. Counter-current heat exchangers can provide better temperature control and a higher overall heat transfer coefficient compared to co-current heat exchangers.

However, the presence of baffles in the shell side (option B) and size differences (option A) are not accurate differentiators between the two types of heat exchangers.

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A chemist wishes to make a solution using 3.61 g of CoCl3 in which the total concentration of Cl– ions is equal to 0.233 mol/L. What must the final volume of the solution be?
Let's start by understanding the relationship between [CoCl3] and [Cl–].
In order for [Cl–] to equal 0.233 M, what must [CoCl3] equal?
_______ M

Answers

The final volume of the solution must be approximately 0.345 L.

The concentration of Cl- ions in CoCl3 is equal to three times the concentration of CoCl3. Given that the concentration of Cl- ions is 0.233M, we can determine the concentration of CoCl3 by dividing it by 3.[CoCl3] = (0.233 mole/L) / 3= 0.0777 mole/L Now that we know the concentration of CoCl3, we can use the formula for concentration to calculate the final volume of the solution that can be produced. C = n/V

where C is concentration, n is the number of moles of the solute, and V is the volume of the solution in liters.

To determine the volume of the solution, we will rearrange the formula as follows:

V = n/Cn is the number of moles of CoCl3, which can be determined using its mass and molar mass (134.45 g/mol).n = m/M where m is the mass of CoCl3 and M is its molar mass. n = 3.61 g / 134.45 g/mole= 0.0268 mole Now, we can substitute the values into the formula to find V:V = n/C= 0.0268 mole / 0.0777 mole/L≈ 0.345 L

Therefore, the final volume of the solution must be approximately 0.345 L.

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Difluoromethane, CH2F2, is a refrigerant that does not cause ozone depletion. Which of the following types of intermolecular forces are present in liquid difluoromethane? Select all that apply. None of these Dipole-dipole forces Hydrogen bonding forces London Dispersion forces

Answers

The types of intermolecular forces present in liquid difluoromethane (CH2F2) are dipole-dipole forces and London dispersion forces.

In difluoromethane (CH2F2), there are two main types of intermolecular forces at play: dipole-dipole forces and London dispersion forces.

Dipole-dipole forces arise due to the polarity of the molecule. In difluoromethane, the fluorine atoms are more electronegative than the carbon and hydrogen atoms, creating partial positive charges on the hydrogen atoms and partial negative charges on the fluorine atoms. These partial charges result in attractive forces between the positive and negative ends of different molecules, known as dipole-dipole forces.

London dispersion forces, also called van der Waals forces, exist in all molecules. They arise due to temporary fluctuations in electron distribution, creating temporary dipoles. These temporary dipoles induce dipoles in neighboring molecules, leading to attractive forces. London dispersion forces increase with the size and shape of the molecules involved.

Hydrogen bonding forces are not present in difluoromethane since hydrogen bonding requires hydrogen atoms bonded to highly electronegative atoms such as oxygen, nitrogen, or fluorine.

In conclusion, the intermolecular forces present in liquid difluoromethane are dipole-dipole forces and London dispersion forces.

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For a stoichiometric amount of methane-air mixture calculate the mass fractions and stoichiometrically weighted mass fractions (with the fuel being the reference species and YF,B=1 ) of O2 and CH4 before reaction, and of CO2 and H2O after complete reaction without dissociation. What can you say about Y~i and the small value of YCH4 relative to YO2 in terms of the suitability of hydrocarbons as transportation fuels?

Answers

To calculate the mass fractions and stoichiometrically weighted mass fractions of species in a stoichiometric methane-air mixture, we need to consider the balanced chemical equation for the combustion of methane ([tex]CH_4[/tex]) with oxygen ([tex]O_2[/tex]) to form carbon dioxide ([tex]CO_2[/tex]) and water ([tex]H_2O[/tex]).

The balanced equation for the combustion reaction is as follows:

[tex]CH_4[/tex]+ [tex]2O_2[/tex]-> [tex]CO_2[/tex]+ [tex]2H_2O[/tex]

Before the reaction:

The stoichiometric coefficient of [tex]CH_4[/tex]is 1, and for [tex]O_2[/tex], it is 2.

The mass fraction of [tex]CH_4[/tex]([tex]YCH_4[/tex]) is calculated as the mass of [tex]CH_4[/tex] divided by the total mass of the mixture.

Assuming that we have 1 mole of [tex]CH_4[/tex] and 3 moles of [tex]O_2[/tex] in the mixture,

[tex]YCH_4[/tex]= (moles of [tex]CH_4[/tex] * molar mass of [tex]CH_4[/tex]) / (total moles * average molar mass)

[tex]YCH_4[/tex]= (1 * 16.04 g/mol) / (4 * ((16.04 g/mol + 32.00 g/mol) / 2))

[tex]YCH_4[/tex]= 16.04 g / (4 * 24.02 g/mol)

[tex]YCH_4[/tex]= 16.04 g / 96.08 g

[tex]YCH_4[/tex]≈ 0.167

The mass fraction of [tex]O_2[/tex] ([tex]YO_2[/tex]) is calculated as the mass of [tex]O_2[/tex] divided by the total mass of the mixture.

[tex]YO_2[/tex]= (moles of [tex]O_2[/tex] * molar mass of [tex]O_2[/tex]) / (total moles * average molar mass)

[tex]YO_2[/tex]= (3 * 32.00 g/mol) / (4 * ((16.04 g/mol + 32.00 g/mol) / 2))

[tex]YO_2[/tex]= 96.00 g / (4 * 24.02 g/mol)

[tex]YO_2[/tex]= 96.00 g / 96.08 g

[tex]YO_2[/tex]≈ 0.999

After the complete reaction:

The stoichiometric coefficient of [tex]CO_2[/tex] is 1, and for [tex]H_2O[/tex], it is 2.

The mass fraction of [tex]CO_2[/tex] ([tex]YCO2[/tex]) is calculated as the mass of [tex]CO_2[/tex] divided by the total mass of the products.

[tex]YCO_2[/tex] = (1 * 44.01 g/mol) / (4 * ((16.04 g/mol + 32.00 g/mol) / 2))

[tex]YCO2[/tex] = 44.01 g / (4 * 24.02 g/mol)

[tex]YCO2[/tex] = 44.01 g / 96.08 g

[tex]YCO2[/tex] ≈ 0.458

The mass fraction of [tex]H_2O[/tex]([tex]YH_2O[/tex]) is calculated as the mass of [tex]H_2O[/tex] divided by the total mass of the products.

[tex]YH_2O[/tex]= (2 * 18.02 g/mol) / (4 * ((16.04 g/mol + 32.00 g/mol) / 2))

[tex]YH_2O[/tex]= 36.04 g / (4 * 24.02 g/mol)

[tex]YH_2O[/tex]= 36.04 g / 96.08 g

[tex]YH_2O[/tex]≈ 0.375

When considering the stoichiometrically weighted mass fractions (Yi) values. The relatively small mass fraction of methane compared to oxygen highlights the higher oxygen requirements of hydrocarbon fuels for complete combustion. This aspect presents challenges for fuel efficiency and emissions control in transportation applications, emphasizing the need for sufficient oxygen supply for efficient combustion of hydrocarbon fuels.

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Identify different industries and commercial products where the gravimetric analysis can be used and discuss the significance of gravimetric analysis in the above identified industry/commercial products (minimum three).

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Gravimetric analysis finds significance in various industries and commercial products. Its applications in pharmaceuticals, environmental monitoring, and precious metal refining help ensure quality control, assess environmental impact, and determine the value of valuable metals.

Gravimetric analysis is a quantitative analytical technique that involves the determination of the mass of a substance in a sample. It has various applications in different industries and commercial products. Three significant areas where gravimetric analysis is commonly used include pharmaceuticals, environmental monitoring, and precious metal refining. In pharmaceuticals, gravimetric analysis is essential for determining the purity and concentration of active ingredients in drugs. In environmental monitoring, it helps in measuring pollutant levels, such as heavy metals, in air, water, and soil samples. In precious metal refining, gravimetric analysis is utilized to determine the purity and content of valuable metals like gold and silver in ores or alloys.

In the pharmaceutical industry, gravimetric analysis plays a crucial role in ensuring the quality and efficacy of drugs. It is used to determine the purity of active pharmaceutical ingredients (APIs) by measuring the mass of impurities or residual solvents. By accurately quantifying impurities, pharmaceutical companies can adhere to regulatory standards and ensure the safety of their products.

In environmental monitoring, gravimetric analysis is significant for assessing the levels of pollutants in various samples. For example, it can be used to determine the concentration of heavy metals like lead, mercury, or arsenic in water, air, or soil samples. This information helps in evaluating environmental pollution, identifying contamination sources, and implementing appropriate remediation measures.

Gravimetric analysis is also vital in the precious metal refining industry. It enables the determination of the purity and content of precious metals, such as gold and silver, in ores or alloys. By accurately quantifying the metal content, refining processes can be optimized, and the value of the final product can be determined. This is crucial for industries involved in jewelry making, electronics manufacturing, and other applications where precise metal purity is required.

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Example: An induced draft water cooling tower, with a packing height of 6 m, is studied to determine its operating characteristics and the following readings are taken: inlet air: outlet air: dry-bulb temp = 50° C dry-bulb temp = 38° C wet-bulb temp = 22° C wet-bulb temp = 36° C water: inlet temp = 46° C outlet temp = 32° C For these readings, calculate the height of a transfer unit - based on an enthalpy driving force - for the packing under these conditions.

Answers

The enthalpy driving force can be calculated using the following formula:enthalpy driving force = (h1 − h2) − (h3 − h4)The calculation of the height of a transfer unit is given below:Explanation:The enthalpy of the air entering the cooling tower, h1 = 0.0191 × (50 − 22) = 0.532 kJ/kgThe enthalpy of the air leaving the cooling tower, h2 = 0.0258 × (38 − 36) = 0.0516 kJ/kg

The enthalpy of the water entering the cooling tower, h3 = 4.187 × (46 − 22) = 100.28 kJ/kgThe enthalpy of the water leaving the cooling tower, h4 = 4.187 × (32 − 22) = 41.87 kJ/kgenthalpy driving force = (0.532 − 0.0516) − (100.28 − 41.87)enthalpy driving force = −58.25 kJ/kgThe height of a transfer unit can be calculated using the following formula:H = (LMTD / (enthalpy driving force / (packing height × packing density)))where,LMTD = (Δt1 − Δt2) / ln (Δt1 / Δt2),Δt1 = t1 − t3,Δt2 = t2 − t4,t1 = inlet air temperature,t2 = outlet air temperature,

t3 = inlet water temperature,t4 = outlet water temperature. Packing density can be considered as 44.1 kg/m3.The LMTD can be calculated as follows:Δt1 = t1 − t3 = 50 − 46 = 4Δt2 = t2 − t4 = 38 − 32 = 6LMTD = (Δt1 − Δt2) / ln (Δt1 / Δt2)LMTD = (4 − 6) / ln (4 / 6)LMTD = −2 / (−0.5108)LMTD = 3.9122Using the above values in the height of the transfer unit formula:H = (LMTD / (enthalpy driving force / (packing height × packing density)))H = (3.9122 / (−58.25 / (6 × 44.1)))H = 0.0042 m or 4.2 mmTherefore, the height of a transfer unit - based on an enthalpy driving force - for the packing under these conditions is 4.2 mm.

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Draw the structure of the major organic product formed in the reaction of 1?methylcyclohexene with diborane in diglyme, followed by basic hydrogen peroxide.

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The major organic product formed in the reaction of 1-methylcyclohexene with diborane in diglyme, followed by basic hydrogen peroxide is 1-methylcyclohexanol.

This reaction is an example of hydroboration-oxidation, which is a common method for the conversion of an alkene into an alcohol. Hydroboration is the addition of borane (BH3) to an alkene to form a trialkylborane.The reaction between 1-methylcyclohexene and diborane (BH3) in diglyme produces trialkylborane as an intermediate product as shown below.

On further reaction with basic hydrogen peroxide (H2O2) as an oxidant, the trialkylborane converts into alcohol as shown below:Thus, the final product obtained after the reaction of 1-methylcyclohexene with diborane in diglyme followed by basic hydrogen peroxide is 1-methylcyclohexanol, which is the major organic product.1-methylcyclohexanol is an organic compound with the molecular formula C7H14O. It is a secondary alcohol with a branched chain. This reaction is widely used in the production of various types of alcohols.

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Mix thoroughly by micropipetting up and down.5) Measure the absorbance at 500 nm. 6) Repeat Steps 4 & 5 five additional times (i.e., until you have added a total of 24 L of the HABA solution for Titration 1 and 42 L of this solution for Titration 2).7) Add VHABA,f of the HABA solution and mix thoroughly by micropipetting up and down. Record the absorbance as Asat.8) Add Vbiotin of a 1 mM solution of biotin. Mix thoroughly by micropipetting up and down. Record the absorbance.2. Describe how Describe how the equilibrium association constant can be determined from a Scatchard plot of the ratio of fractional saturation to equilibrium concentration of ligand vs. fractional saturation. In a recent IBM global survey, over 700 chief marketing officers revealed their top priorities for marketing. which is one of those priorities? 2. Complex Gaussians and the uncertainty product [10 points] Consider the gaussian wavefunction 4(x) = N exp(-2), AEC, Re(A)>0, (1) where N is a real normalization constant and A is now a complex number: A* # A. The integrals in Problem 1 are also useful here and so is the following relation, valid for any nonzero complex number 2, Re() = Re(z) 121 (prove it!) (a) Use the position space representation (1) of the wavefunction to calculate the uncertainties Ar and Ap. Leave your answer in terms of A and Re(A). (Ar will depend on both, while Ap will depend only on Re(A)). (b) Calculate the Fourier transform (p) of (x). Use Parseval to confirm your answer and then recalculate Ap using momentum space. (c) We parameterize A using a phase A ER as follows A = Aleis Calculate the product ArAp and confirm that the answer can be put in terms of a trigonometric function of A and that A drops out. Is your answer reasonable for A = 0 and for a = ? (d) Consider the free evolution of a gaussian wave packet in Problem 3 of Home- work 4. What is Ap at time equal zero? Examine the time evolution of the gaussian (from the solution!) and read the value of the time-dependent (com- plex) constant A. Confirm that Ap, found in (a), gives a time-independent result. federalist 39 if the plan of the convention, therefore, be found to depart from the republican character, its advocates must abandon it as no longer defensible How has biotechnology helped the dairy industry? [15 marks] ) A 100-kVA transformer has 400 turns on the primary and 80 turns on the secondary. The primary and secondary resistances are 0.3 2 and 0.01 2 respectively, and the corresponding leakage reactances are 1.1 Q2 and 0.035 respectively. The supply voltage is 2200 V. Calculate: (a) the equivalent impedance referred to the primary circuit, and (b) the voltage regulation and the secondary terminal voltage for full load having a power factor of (i) 0.8 lagging and (ii) 0.8 leading. Stages of Play / Development and Play Two children are engaged at the art centre. They are both making their own "creation", using the same collage materials, but they don't seem to be paying attention to one another. Before you attempt to further their development, you need to acknowledge where they are at. List one potential stage of play, and describe how you know. What would you say / how would you interact with these children? Be sure to use a strategy that supports play- based learning. What steps could you take to further their development? List a stage of play you could promote and describe a strategy you would use to further the child's development In Python.Submit with Full Source Code and Executed Output Screen shot.Write a Python program to do the following tasks:(a) Define a function named dif2 that accepts an integer N as inputparameter and constructs and returns an N N two-dimensionalnumpy array A, with the value -2.0 on the main diagonal and thevalue +1.0 on the super-diagonal and the sub-diagonal.(b) For N=10, construct a one-dimensional array b of length N filledwith zeros except that the first element is 1.0 and the last element is-N. For N=10, solve the system Ax = b for x.(c) For N=20, construct a one-dimensional array c of length N, filledwith random numbers. For A from the dif2 function, Solve thesystem Ay = c for y and then confirm that the solution you found isapproximately correct by computing the relative norm of the residualerror, kAy ck/kck. This value should be no larger than 1012 Given an annual opportunity cost of 10%, what is the future value of a $1,000 ordinary annuity for 1 year? Given the code snippet below: amount = float(input("Please enter the amount e.g. 456.32 for R456.32: R")) 200 =amount // 200 remaining - amount % 200 amount = remaining -100 = amount // 100 remaining = amount % 100 amount = remaining r50 - amount // 50 remaining = amount % 50 print("Here's the breakdown:") print("R200: " + str(r200)) print("R100:" + str(r100)) print("R50:" + str(r50)) print("Here's what's remaining: R" + str(remaining) It should become very clear to you (hopefully) that the program cannot compute the number of R20, R10, R5, R2 and/or R1 notes/coins that are required to make the entire payment. You are thus required to modify the program to do this. Your answer should include the above code i.e. it should be the full program and not just your portion. [10 marks). 25. Given: In a new 10-unit apartment building, electrical maintenance will be under the supervision of, and provided by, the building manager occupying one of the apartments. The branch circuit supplying the common area lighting is: a. Limited to a 15-ampere circuit b. Permitted to be supplied from the manager's apartment c. Prohibited from being supplied from the manager's apartment d. Allowed to be supplied from the manger's apartment by special permission only 26. Temporary electrical power for Christmas decorative lighting shall be permitted for a period of up to days. a. 30 b. 60 C. 90 d. 120 27. For a store with a 5,000 sq. ft. floor area, the minimum general lighting load used in calculating the service load shall be volt-amperes. a. 5,000 b. 10,000 c. 15,000 d. 17,500 28. In calculating branch-circuit and feeder loads, which of the following is not considered a nominal system voltage, unless specified otherwise? a. 115 b. 240 C. 480 d. 600 29. A branch-circuit supplying a fixed storage-type water heater having a capacity of 120 gallons or less shall have a rating not less than percent of the name plate rating of the water heater. a. 110 b. 115 c. 125. d. 150 30. The total length of feeder taps installed in a high-bay manufacturing building is permitted to be a maximum of ft. a. 3 b. 10 C. 25 d. 100 I asked you to answer the same question, but the answer was incorrect and it didn't work on Repl.it, it didn't produce a polygon with 5 vertices and red or blue surface, and I want to submit the question before the deadline !The required language is JavaScript.This unit introduces you to graphics modeling. You will also learn how to use OpenGL functionality to implement vertices to develop points, line segments, polygons, and polyhedrons. For Programming Assignment Unit 2, you must utilize WebGL's comparable functionality to create a polygon composed of 5 vertices. You will need to modify the Unit 2 Assignment Example Code to create a polygon that must: have a red or blue surface spin slowly on its axes Note: It is essential to document your code liberally with comments to ensure that a reviewer understands what you were attempting to do within the assignment. When you have completed the assignment, you must click on the share button and copy both the "Graphics View" (Live and full preview) and the "Code View" URLs and then submit with your assignment. You can also submit your JavaScript code, but you should only cut and paste the code into the submission dialogue box. Do not attach the source code document. Your assignment is due at the end of this unit. Grading Criteria Your assignment will be assessed (graded) by your peers using the following criteria: Does the program output produce a polygon with five vertices? Does the polygon have a red or blue surface? Does the program demonstrate the ability to rotate (spin about its x- and y-axis) Is the JavaScript / Three.js code well documented? Adenine (A), thymine (T), guanine (G), and cytosine (C) are the ____________ building blocks for DNA; they are organized in different combinations to code for all of the proteins needed to accomplish everything the cell does. lipid nucleotide O protein O carbohydrate