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For a problem involving the catalysed reaction of methane and

steam, the following reaction table was prepared:


Explain the entries in the 鈥淐hange鈥 and 鈥淓quilibrium鈥 rows.

Short Answer

Expert verified

The change in amount (pressure) of CO2is + x ass one mole of CO2is formed. The change in pressure of H2is +4x as 4 moles of H2is formed at equilibrium. The

reactant pressure of CH4changes by -x as one mole of CH4reacts.

The change in pressure of H2Ois -2x as two moles of water react to give the

product.

The total pressure of reactants and products will be the sum of initial and change.

Thus, the pressure of CH4=0.30-xandH2O=0.40-2x.

The pressure of role="math" localid="1654924198289" CO2=xand that of H2=4x.

Step by step solution

01

Step 1: What is the change and equilibrium state?

A physical change of a matter is referred to as a change of state. They are reversible alterations that do not entail any changes to the matter's chemical composition. Melting, freezing, sublimation, deposition, condensation, and vaporisation are all examples of state shifts.

The stationary points of the system's total potential energy characterise the equilibrium states of structural and mechanical systems. The principle of stationary potential energy is what this is called.

02

Step 2: Explain the entries in the “Change” and “Equilibrium” rows

As the reaction proceeds, the concentration of products increases and the reactant

decreases. The change in amount (pressure) of CO2is + x as one mole is formed.

The change in pressure of H2is +4x as 4 moles of H2is formed at equilibrium. The

reactant pressure of CH4changes by -x as one mole of CH4reacts.

The change in pressure is -2x as two moles of water react to give a product.

The total pressure of reactants and products will be the sum of initial and change.

Thus, the pressure of CH4=0.30-xandH2O=0.40-2x.

The pressure of CO2=Xand that of H2=4x.

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Most popular questions from this chapter

Using CH4and steam as a source of H2for NH3synthesis requires high temperatures. Rather than burning CH4separately to heat the mixture, it is more efficient to inject some O2into the reaction mixture. All of the H2is thus released for the synthesis, and the heat of reaction for the combustion of CH4helps maintain the required temperature. Imagine the reaction occurring in two steps:

2CH4(g)+O2(g)2CO(g)+4H2(g)Kp=9.341028at1000.KCO(g)+H2O(g)CO2(g)+H2(g)Kp=1.374at1000.K


(a) Write the overall equation for the reaction of methane, steam, and oxygen to form carbon dioxide and hydrogen.

(b) What is Kp for the overall reaction?

(c) What is Kc for the overall reaction?

(d) A mixture of 2.0 mol of role="math" localid="1654932471834" CH4,1.0 mol of O2, and 2.0 mol of steam with a total pressure of 30. atm reacts at 1000. K at constant volume. Assuming that the reaction is complete and the ideal gas law is a valid approximation, what is the final pressure?

What is implied by the word 鈥渃onstant鈥 in the term equilibrium constant? Give two reaction parameters that can be changed without changing the value of an equilibrium constant.

The minerals hematite (Fe2O3)and magnetite (Fe3O4)exist in equilibrium with atmospheric oxygen:role="math" localid="1654925446427" Fe3O4s+O2gFe6O3(s)KP=2.51087(a) Determine PO2at equilibrium. (b) Given that PO2 in air is 0.21 atm, in which direction will the reaction proceed to reach equilibrium? (c) CalculateKC at 298 K.

Hydrogenation of carbon-carbon bonds is important in the petroleum and food industries. The conversion of acetylene to ethylene is a simple example of the process:

C2H2(g)+H2(g)C2H4(g)

The calculatedKc at 2000K is2.9108 . But the process is run at lower temperatures with the aid of a catalyst to prevent decomposition. Use螖贬f values to calculate theKC at 300K.

An inorganic chemist places 1 mol of BrCl in container A and 0.5 mol of Br2 and 0.5 mol of Cl2 in container B. She seals the containers and heats them to 3000C. With time, both containers hold identical mixtures of BrCl, Br2, and Cl2.

(a) Write a balanced equation for the reaction in container A.

(b) Write the reaction quotient, Q, for this reaction.

(c) How do the values of Qin A and in B compare over time?

(d) Explain on the molecular level how it is possible for both containers to end up with identical mixtures.

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