Explain the process of distillation with the help
of an
example.

Answers

Answer 1

Answer:

Distillation is the process of obtaining a liquid from a mixture containing a dissolved solute. The mixture is heated at a temperature just before the boiling point of the liquid. It evaporates and the vapor travels into a condenser flushed with cold water along the outside. The vapor loses its heat energy and cools into a liquid state. It then falls into a beaker on the other end as a distillate.

An example is desalination, where water is removed from seawater.

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Related Questions

What is the pH of a solution prepared by adding 25.0 mL of 0.199 M ammonia to 25 mL of 0.199 M hydrochloric acid solution?

Answers

The pH of a solution prepared by adding 25.0 mL of 0.199 M ammonia to 25 mL of 0.199 M hydrochloric acid solution is less than 7.

What is the pH of a solution?

The pH of a solution is calculated as follows;

pH = - log ([H⁺])

Also, pH = 14 - pOH

The pH of the solution is determined as follows;

Moles of HCl = 0.199 M * 25 mL * 1L/1000 mL

moles of acid = 0.004975 moles

Moles of NH₃ = 0.199 M * 25 mL * 1L/1000 mL

moles of NH₃ = 0.004975 moles

0.004975 moles of HCl reacts with 0.004975 moles of NH₃

Since NH₃ is a weak acid, the pH of the solution is slightly lower than 7.

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A buffer system is set up with [A] = 1.5[HA ]. If pKa = 5.4, what is the pH of the buffer?​

Answers

5.57  is the pH of the buffer .

What is buffer ?

Buffer, in chemistry, usually a solution containing acids and bases or salts that tends to maintain a constant concentration of hydrogen ions. An ion is an atom or molecule that has lost or gained one or more electrons. A common buffer is a solution of acetic acid (CH3COOH) and sodium acetate. In aqueous solution, sodium acetate completely dissociates into sodium (Na+) and acetate (CH3COO-) ions. Buffer solutions with different hydrogen ion concentrations can be prepared by varying the buffer ratio and choosing acids of appropriate intrinsic strength. Commonly used buffers include phosphate, citrate, or borate and their salts

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Is it polar or non polar ?

Answers

It’s option A, trigonal bipyramidal, non polar




















What is the equilibrium constant K at 25 °C for an electrochemical cell when E° = +0.0165 V and n = 2?(F = 96,500 J/(V・mol), R = 8.314 J/(mol・K))

Answers

The equilibrium constant K of the electrochemical cell is 2.976.

What is equilibrium constant ?

The equilibrium constant of a chemical reaction is described as the value of its reaction quotient at chemical equilibrium, a state approached by a dynamic chemical system after sufficient time has elapsed at which its composition has no measurable tendency towards further change.

We have that:

ΔG = -nFE°cell

n = 2

Force value = 96,500 J/(V・mol)

E°cell = +0.0140 V

ΔG = -(2 *  96,500  * 0.0140)

ΔG = -2702 J

Then,

But;

ΔG = -R TlnK

lnK = -(ΔG/RT)

The value of K = e^[-(ΔG/RT))

The value of K = e^[-(( -2702)/8.314 * 298]

The value of K = 2.976

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What is the strength and weakness of vaccines ?

Answers

Answer:

Strength:

can prevent diseases from making you ill

Weakness:

the virus/bacteria can change shape and look and your body and the vaccine won't be able to recognize it anymore

How many protons and electrons are present in one Br -ion2

Answers

Answer:

Br- has 35 protons and 36 electrons

Explanation:

Do you mean Br-?

Br has atomic number of 35 => 35 protons.

Neutral Br has 35 electrons.

Br- has 1 extra electron, resulting in total of 36 electrons.

Are there any concerns if you wait an hour or two after you calibrate the spectrophotometer to obtain the absorbance of your solutions and unknown? Explain your answer.

Answers

No, there are no  concerns if you wait an hour or two after you calibrate the spectrophotometer to obtain the absorbance of your solutions and unknown as it will not change because the light source is not aging faster but if your light source age faster, then there are concerns.

Why should it be a problem when the light source is aging faster?

In the case above, light source is the issue because it is deteriorating quickly. If you're lucky, the lamp's usable life will be at least four digits of hours. On the other hand, allowing the lamp to stabilize itself speeds up aging. Given the limited lifespan, it is advisable to calibrate frequently such as daily.

The calibration rate is determined by the goal of the measurement. For most photometric tests, parameter variations in the interval between calibration and measurement will be negligibly large enough to significantly increase the overall measurement error. (Take note that the amount of error in typical analytical measurements, including sample preparation, is often at or above 10%.)

The routine calibration then appears to be unnecessary because the effort you put out will be pointless. In any instance, the experimental analysis of the impact of daily or biweekly calibration (often conducted inside validation studies) will offer the response.

It may even make sense to calibrate the instrument every 5 or 10 operational hours if you are using it continuously for a long length of time. If the manufacturer changes the cuvette materials (they will also change the Lot No.), you should recalibrate depending on the light source's lifespan and the materials you used to place your samples there. however, you should be cautious of dust because it might significantly alter the outcomes if the lenses have dirt.

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Why do all elements have their own unique color? Please explain.

Answers

All the element have their own unique color because the every element have their own set of energy levels.

According to the bohr model of atoms : electrons exist at certain energy levels. when we give heat to electron , it gets excited and moves from lower energy level to higher energy level. the electron is less stable in higher energy level. when an electron returns from higher energy level to lower energy level it emits some energy in form of radiation. The wavelength of light depends upon energy level . and every elements have their own unique energy levels.  The color for different element is different.

Thus, All the element have their own unique color because the every element have their own set of energy levels.

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In an investigation of the decomposition of water, a student compared the amount
of oxygen in one test tube to the amount of hydrogen in the other test tube. Which
of the following statements is correct about the comparison?
A. There is twice as much oxygen as hydrogen.
B. There is an equal amount of oxygen and hydrogen.
C. There is one-half as much oxygen as hydrogen.
D. There is four times as much oxygen as hydrogen.

Answers

In an investigation of the decomposition of water, a student compared the amount of oxygen in one test tube to the amount of hydrogen in the other test tube is There is one - half as much as hydrogen.

In decomposition of water , water can be broken into the hydrogen gas and the oxygen gas. The water decomposition reaction is given as :

2H₂O   ------>     2H₂     +     O₂

The ratio of  hydrogen and oxygen in the decomposition reaction of water is 2 : 1.

Thus, In an investigation of the decomposition of water, a student compared the amount of oxygen in one test tube to the amount of hydrogen in the other test tube is There is one - half as much as hydrogen.

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Convert the boiling temperature of liquid ammonia, −28.1 °F, into degrees Celsius and Kelvin. Show the calculations.

Answers

-28.1 °F is a temperature in Fahrenheit and is converted to degrees Celsius and Kelvin as follows:

-33.39°C239.76K

How to convert Fahrenheit to Kelvins?

Temperature is the measure of cold or heat, often measurable with a thermometer.

Temperature can be measured in the following units;

Kelvins (absolute temperature)

Degrees Celsius (°C)Degrees Fahrenheit (°F)

Kelvins (K) is the international system of units (S.I unit), the base unit of thermodynamic temperature; 1⁄273 of the thermodynamic temperature of the triple point of water.

Degrees Celsius is the metric unit of temperature, a derived unit of the International System of Units.

°F is converted to °C as follows:

(32°F − 32) × 5/9 = 0°C

-28.1°F = -33.39°C

°F is converted to K as follows:

(-28.1°F − 32) × 5/9 + 273.15 = 239.761K

= 239.76K

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10. In which of the following situations is a biotechnologist most likely to decide to use directed evolution as an enzyme engineering technique as opposed to rational design?
A) When a structure of the
enzyme is available to aid engineering
B) When the enzyme can only be
screened in a low throughput manner
C) When the enzyme mechanism
is understood and provides insight to engineering
D) When current data allows
molecular modelling techniques to be used predictively
E)When none of the above are true

Answers

A Biotechnologist decides to use directed evolution as an enzyme engineering technique when the enzyme mechanisms is understood and provides insight to engineering Why is directed evolution important?

A potent method for enhancing the functionality of proteins is directed evolution. When the biological function is unclear or there is little chemical understanding of the substrate and protein structure, directed evolution generates hundreds of variants in order to find the optimal solution.

What is enzyme engineering technique?

In order to increase the usefulness and activity of existing enzymes, enzyme engineering approaches use recombinant DNA technology to develop new proteins and enzymes with designer functions.

What is rational design?

In synthetic science and biomolecular designing, sane plan (RD) is an umbrella term which welcomes the system of making new particles with a specific usefulness, in light of the capacity to foresee how the atom's construction (explicitly got from themes) will influence its conduct through actual models.

Hence, Biotechnologist most likely to decide to use directed evolution as an enzyme engineering technique as opposed to rational design when the enzyme mechanism is understood and provides insight to engineering .

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How many grams of propane can combust at 25°C and 1.04 atm if reacting with 14.7 L of oxygen gas?

Answers

The volume of oxygen is 14.7 litres.

What is volume?

volume is a measure of occupied three dimensional space.

Sol-Balanced chemical reaction: C₃H₈ + 5O₂ → 3CO₂ + 4H₂O.

m(C₃H₈-propane) = 5.53 g.

n(C₃H₈) = m(C₃H₈) ÷ M(C₃H₈).

n(C₃H₈) = 5.53 g ÷ 44.1 g/mol.

n(C₃H₈) = 0.125 mol.

From chemical reaction: n(C₃H₈) : n(O₂) = 1 : 5.

n(O₂) = 0.625 mol.

T = 25° = 298.15K.

p = 1.04 atm.

R = 0.08206 L·atm/mol·K.

Ideal gas law: p·V = n·R·T .

V(O₂) = n·R·T / p.

V(O₂) = 0.625 mol · 0.08206 L·atm/mol·K · 298.15 K / 1.04 atm.

V(O₂) = 14.7 L.

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what mass of iron(III) oxide must be used to produce 10.6g iron?

Answers

The mass of iron (II) oxide that must be used to produce 10.6 g of iron would be 14.37 grams.

Stoichiometric problem

Iron is produced from iron (II) oxide by reacting with carbon monoxide according to the following equation:

[tex]Fe_2O_3 + 3CO -- > 2Fe + 3CO_2[/tex]

The equation already obeys the law of conservation of atoms. Hence. it is a balanced equation.

The mole ratio of iron (III) oxide that reacts and the iron that is produced according to the equation is 1:2.

Now, in a particular reaction involving iron (III) oxide and carbon monoxide, 10.6 grams of iron were produced. The amount of iron (III) oxide used can be obtained using the mole ratio from the balanced equation of the reaction.

Recall that: mole = mass/molar mass

Molar weight of iron = 56 g/mol

Mole of 10.6 g of iron = 10.6/56

                                    = 0.19 moles

Since the mole ratio is 1:2, the equivalent mole of iron (III) oxide that reacts can be obtained:

                  0.19/2 = 0.09 moles

Molar mass of iron (III) oxide = 159.69 g/mol

Mass of 0.09 mol iron (III) oxide = 0.09 x 159.69

                                                    = 14.37 grams

Thus, the amount of iron (III) oxide that must be used to produce 10.6 g of iron would be 14.37 grams.

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State the composition of the alloy to make rings

Answers

Explanation:

Write a short report describing your ideas for a school of the future. You can suggest changes to:

• school buildings and classrooms.

• the library

• the cafeteria

• how classes are taught.

Give a reason for each of your suggestions. Use a variety of synonyms and accurate vocabulary.

200 words only

What is the condensed structural formula for 2,2-dimethylbutane?

CH3(CH2)2CH3

(CH3)3CCH2CH3

C6H4(CH3)2

CH3CH2CH2CH2CH3

Answers

The structural formula for 2,2-dimethylbutane in the above task is (CH3)3CCH2CH3.

The correct answer choice is option b.

The structural formula for 2,2-dimethylbutane.

It follows that the structural formula for the above compound in the above task has 4 carbon atoms as the parent chain and has 2 different methyl substituents on the same carbon 2.

The image to the paper work is attached for more clearity.

The compound; 2,2-dimethylbutane ( (CH3)3CCH2CH3 ) belong to an alkane family. They have a general formula CnH2n+2.

So therefore, we can now confirm from the explanation given above that the only correct answer for the structural formula of the compound above is (CH3)3CCH2CH3

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the number of electron dense areas of SeCl6

Answers

Using the Valence shell electron pair repulsion theory, there are six  electron dense areas in the compound.

What is the valence shell electron pair repulsion theory?

According to the valence shell electron pair repulsion theory, the number of electron pairs that surround the valence shell of the central atom of the molecule is the determinant factor of the  shape of the molecule.

Thus, the repulsion between the electron pairs would make  the compound to assume a certain shape as the electrons would be able to maximize the repulsion that does exists between them.

In this case, we have a compound that have a central tom that is surround be six electron pairs that surround the central atom and they are all bond pairs of electron thus we would have six areas of electron density.

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There are 0.05216 mol ZnSO4 and 0.3609 mol H2O in the sample. Step 3: Divide each by the smallest number of moles to get the ratio. What is the ratio of ZnSO4:H2O? [?] mol ZnSO4: [?] mol H2O

Answers

If there are 0.05216 mol of [tex]ZnSO_4[/tex] and 0.3609 mol of [tex]H_2O[/tex] in a hydrated salt sample. the ratio of [tex]ZnSO_4[/tex] and [tex]H_2O[/tex] would be 1:7.

Empirical formula

The problem here can be solved using the empirical formula method. There are 0.05216 mol of [tex]ZnSO_4[/tex] and 0.3609 mol of [tex]H_2O[/tex]. In order to find the mole ratio of the 2 constituents, let's divide by the smallest mol:

The smallest mol here is the mol of [tex]ZnSO_4[/tex] which is 0.05216.

[tex]ZnSO_4[/tex] = 0.05216/0.05216

            = 1

[tex]H_2O[/tex] = 0.3609/0.05216

         = 7

Thus, the mole ratio of the two constituents is 7 and 1. The formula for the hydrated compound would be [tex]ZnSO_4[/tex].7[tex]H_2O[/tex].

In other words, 1 mol [tex]ZnSO_4[/tex]: 7 mol [tex]H_2O[/tex].

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At a crime scene, Lorenzo finds a gun in shallow pond water. How should he transport the gun to BEST preserve the evidence?

A.
He should drain the water and then put the gun in a plastic bag.

B.
He should rinse the gun, dry it, and then put it in a paper bag.

C.
He should clean the gun and collect a separate water sample.

D.
He should keep the gun submerged in water as he transports it.

Answers

Answer:d

Explanation:


A known reaction has Change in U= 38 kJ/mol. The reaction is done at constant pressure and you measure the amount
of work done to be w=+2 kJ/mol. What is q in kJ/mol?

Answers

q = 36kJ/ mol amount of heat is produced according to 1st law of Thermodynamics

What is 1st law of Thermodynamics ?

The first law of thermodynamics states that energy is neither created nor destroyed, only its form can be changed. In any system, energy transfer involves exceeding control limits by mass, external work, or heat transfer beyond limits. These cause changes in the stored energy within the control volume.

The first law of thermodynamics states that heat is a form of energy and therefore thermodynamic processes obey the law of conservation of energy. This means that it cannot generate or destroy thermal energy.

ΔU = q + w

38kJ/ mol = q + 2kJ/mol = 36kJ/mol

q = 36kJ/ mol amount of heat is produced according to 1st law of Thermodynamics

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how without making any quantitative measurements could you determine if a piece of plastic has a density greater or less than 1 g/cm

Answers

To determine if the piece of plastic has a density greater or less than 1 g/cm³, the piece of plastic is placed in water, if it sinks, it has a greater density, but if it floats, it has a lesser density.

What is an appropriate method to determine if a piece of plastic has a density greater or less than 1 g/cm³?

The density of a substance measure how compact the substance is.

For fluids such as water, objects that are denser than water will sink in water. However, if the density is less than that of water, it will float in water.

The density of water is 1 g/cm³.

Hence, objects that have densities greater than 1 g/cm³ will sink in water, whereas objects that have densities less than 1 g/cm³ will float in water.

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An object is placed in 20 mL of water. This water rose to a level of 26 mL. The object has a mass of 18 g. What is the density of the object.

Answers

An object is placed in 20 mL of water. This water rose to a level of 26 mL. The object has a mass of 18 g. the density of the object is 3 g/mL.

given the data as follows :

mass of object  =  18 g

volume of object = final volume - initial volume

volume of object = 26 mL - 20 mL

                             = 6 mL

the density expression is given as:

Density = mass / volume

Density = 18 g / 6 mL

Density = 3 g/mL

Thus, An object is placed in 20 mL of water. This water rose to a level of 26 mL. The object has a mass of 18 g. the density of the object is 3 g/mL

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The diagram shows an exchange
surface in the human body. Name the
parts labelled 2.
Enter your answer

Answers

Answer: villi/villus

Explanation: The parts labeled 2 are villi, many of which are found in the small intestine.

villi/villus exchange surface in the human body which are found in the small intestine.

what are the function of villi ?

They are small finger-like folding in the small intestine, A network of capillaries and a big lymph vessel called the lacteal supply the villi.

These are found in the small intestine's inner walls, Villi are specialized for absorption in the small intestine as they have a thin wall, one cell thick, which enables a shorter diffusion path.

They have a large surface area so there will be more efficient absorption of fatty acids and glycerol into the blood stream. They have a rich blood supply to keep a concentration gradient.

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This is the name of the variable in a scientific experiment that is controlled by the scientist

O Negative control
O Independent Variable
O Dependent Variable
O Positive control

Answers

Positive control !!!!!

Answer:

b.Independent variable

Explanation:

The independent variable is the one that is changed by the scientist. To insure a fair test, a good experiment has only one independent variable. As the scientist changes the independent variable, he or she records the data that they collect.

.

Chlorine gas is bubbled through acalcium bromide solution. The solution turns brown, the color of bromine.
What type of reaction is this?

Answers

Chlorine gas is bubbled through a calcium bromide solution is a single displacement reaction.

Chlorine (in the form of a gas or dissolved in water) replaces bromine when added to calcium bromide solution. Chlorine replaces bromine in calcium bromide because it is more reactive than bromine. The solution darkens. The displaced bromine is responsible for this brown color. calcium chloride is the product of the chlorine.

A single replacement reaction, also known as a single displacement reaction, occurs when one element in a molecule is swapped out for another. Starting ingredients are always pure elements combined with an aqueous compound, such as pure hydrogen gas or zinc metal. A new aqueous compound and a different pure element will be produced as products when a replacement reaction takes place.

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How much water will be needed to make a solution of 5.0 M MgO with 200.0 g MgO?

Answers

Volume of water will be needed to make a solution of 5.0 M MgO with 200 g MgO is 25 L.

given that :

molarity of MgO = 5 M

mass of MgO = 200 g

molar mass of MgO = 40 g/mol

number of moles = mass / molar mass

number of moles of MgO = 200 g / 40 g/mol

                                           = 5 mol

molarity of solution is given as :

molarity = moles of solute / volumes in L

volume = moles / molarity

volume = 5 × 5

             = 25 L

Thus, Volume of water will be needed to make a solution of 5.0 M MgO with 200 g MgO is 25 L.

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Please help me


Is this reaction endothermic or endothermic?

CIO + O - CI + O^2

Answers

This reaction, CIO + O - CI + O2, is an example of an endothermic chemical reaction, where the reactants take heat energy from their environment and use it to create products.

Explanation of endothermic?

Endothermic chemical reactions occur when the reactants take in heat energy from their environment to create products. A cooling effect is produced by these reactions because they cause their surroundings to become cooler.

How are endothermic and exothermic different?

Exothermic means that the chemical reaction releases energy. In exothermic reactions, bonds are broken in the reactants, but more energy is released when the bonds are broken in the products. Endothermic chemical processes are those that take up (or utilize) energy.

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For the reaction N2(g) + 3H2(g) ↔ 2NH3(g), the equilibrium constant, K, = 9.83 x 10-2 at a certain temperature and pressure.

While the reaction was proceeding at this temperature and pressure the concentrations of the reactants and products were measured and found to be

[N2] = 0.910 mol/L

[H2] = 0.300 mol/L

[NH3] = 0.0081 mol/L

a. Was the reaction at equilibrium? Explain. (4 marks)

b. If the reaction was not at equilibrium, in which direction was it proceeding? Explain

Answers

The reaction is not at equilibrium and it is in the forward direction.

a.

Given,

[N₂] = 0.910 mol / L

[H₂] = 0.3 mol / L

[NH₃] = 0.0081 mol / L

K = 9.83 x 10⁻²

The balanced chemical equation for the given reaction is,

N₂(g) + 3H₂(g) ⇄ 2NH₃(g)

The formula of equilibrium constant is given by,

K = [NH₃]² / [N₂] [H₂]²

9.83 x 10⁻² = [(0.0081)² ]/ [0.910 × (0.3)²]

⇒9.83 x 10⁻² = (0.00006561) / (0.0819)

⇒9.83 x 10⁻² = 0.0008010989

⇒0.00983 = 0.0008010989

LHS ≠ RHS

Hence, the reaction is not at equilibrium.

b.

The reaction is in forward direction.

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15. A 100 g sample of each of the following metals is heated from 35°C to 45°C. Which metal absorbs

the greatest amount of heat energy?

Metal

4

magnesium

e. copper

copper

magnesium

mercury

silver

lead

b. lead

c. silver

Specific Heat Capacity

0.385 J/(g-°C)

1.02 J/(g-°C)

0.138 J/g °C)

0.237 J/(g-°C)

0.129 J/(g-°C)

d. mercury

Answers

The metal that absorbs the greatest amount of heat energy is lead.

Heat energy is the result of the movement of tiny particles called atoms, molecules  liquids and gases. Heat energy can be transferred from one object to another. The transfer or flow due to the difference in temperature between the two objects is called heat.

The equation that relates the specific heat capacity to the heat absorbed by the metal is given by:

q= m[tex]C_{p}[/tex]ΔT       where q = heat absorbed by the the metal, m = mass  of the metal, [tex]C_{p}[/tex] = heat capacity of the metal and ΔT is the change in temperature

In the above given question, the mass of the metal and change in the temperature is the same for all the metals. Therefore, we can determine the metal that will absorb the lowest amount of energy by using the specific heat capacity.

From the equation the heat absorbed by the metal (q) is directly proportional to the specific heat ([tex]C_{p}[/tex]). Hence we can see that lead has the highest specific heat capacity and therefor Lead absorbs the maximum amount of heat.

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How do I balance these equations? Please explain so I can learn how.

Answers

One mole of CS₂ and two moles of H₂S are formed as products and 3 moles of CH₄ are leftover.

What is the limiting reagent?

A limiting reagent is a reactant that is fully exhausted from the reaction mixture at the completion of a  reaction. The limiting reactant will decide the maximum amount of product.

Given, a balanced chemical equation of the reaction between methane and sulphur is:

[tex]CH_4 + 4S\longrightarrow CS_2 +2H_2S[/tex]

Given, the number of moles of the sulphur = 4

The number of moles of methane = 4

From the chemical reaction, one mole of methane reacts with four moles of sulphur. Therefore, four moles of sulphur fully react with one mole of methane and three moles of methane leftover.

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A 98.3 g piece of copper (specific heat 0.380 J/g・°C) is heated and then placed into 400.0 g of water initially at 20.7°C. The water increases in temperature to 22.2°C. What is the initial temperature (in °C) of the copper? (The specific heat of water is 4.184 J/g・°C)

Answers

The initial temperature of copper is 89.41°C.

How to calculate temperature?

Calorimetry is the science of measuring the heat absorbed or evolved during the course of a chemical reaction or change of state.

According to this question, a 98.3 g piece of copper with specific heat of 0.380 J/g・°C is heated and then placed into 400.0 g of water initially at 20.7°C. The water increases in temperature to 22.2°C. The initial temperature can be calculated as follows;

Q = mc∆T

Where;

Q = quantity of energym = mass of substancec = specific heat capacity∆T = change in temperature

Q(water) = -Q(metal)

400 × 4.184 × 1.5 = -(98.3 × 0.38 × {22.2 - x})

2510.4 = - (829.26 - 37.354x)

2510.4 = -829.26 + 37.354x

3339.659 = 37.354x

X = 89.41°C

Therefore, 89.41°C is the initial temperature of the copper metal.

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Final answer:

The initial temperature of the copper piece is approximately 0.72°C.

Explanation:

To find the initial temperature of the copper piece, we can use the equation Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

First, let's calculate the heat energy gained by the water. The mass of the water is 400.0 g, and the change in temperature is 22.2°C - 20.7°C = 1.5°C.

Using the equation Q = mcΔT, we have:

Q_water = (400.0 g)(4.18 J/g • °C)(1.5°C) = 2490 J

Next, let's calculate the heat energy lost by the copper piece. The mass of the copper is 90.7 g, and the change in temperature is the same as the water, 1.5°C.

Using the equation Q = mcΔT, we have:

Q_copper = (90.7 g)(0.380 J/g • °C)(1.5°C) = 51.8 J

Since energy is conserved, the heat energy gained by the water is equal to the heat energy lost by the copper piece:

Q_water = Q_copper

2490 J = 51.8 J

Now, let's solve for the initial temperature of the copper piece. Rearranging the equation Q = mcΔT to solve for the initial temperature, we have:

T_initial = (Q_copper) / (m_copper * c_copper)

Substituting the values, we get:

T_initial = (51.8 J) / (90.7 g * 0.380 J/g • °C) ≈ 0.72°C

Therefore, the initial temperature of the copper piece is approximately 0.72°C.

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