AP Chemistry: 7.7 Calculating Equilibrium Concentrations – Exam Style questions with Answer- MCQ

Question

\(CO(l)(g)+2H_{2}(g)\rightleftharpoons CH_{3}OH(g) \)          \(\Delta H<0\)

The synthesis of \(CH_3\)OH(g) from CO(g) and \(H_2\)(g) is represented by the equation above. The value of \(K_{c}\) for the reaction at 483 K is 14.5.

A mixture of CO(g) and\( H_{2}\)(g) is pumped into a previously evacuated 2.0 L reaction vessel. The total pressure of the reaction system is 1.2 atm at equilibrium. What will be the total pressure of the system if the volume of the reaction vessel is reduced to 1.0 L at constant temperature?

(A) Less than 1.2 atm

(B) Greater than 1.2 atm but less than 2.4 atm

(C) 2.4 atm

(D) Greater than 2.4 atm

▶️Answer/Explanation

Ans:B

Question

\(CO(g)+H_{2}O(g)\rightleftharpoons CO_{2}(g)+H_{2}(g)\)                        \( k_{c}=1.5\times 10^{3}\)

A 2.0 mol sample of CO(g) and a 2.0 mol sample of \(H_{2}\)O(g) are introduced into a previously evacuated 100. L rigid container, and the temperature is held constant as the reaction represented above reaches equilibrium. Which of the following is true at equilibrium?

(A) \([H_{2}O] > [CO] ~and ~[CO2] > [H2]\)

(B) \( [H_{2}O] > [H_{2}]\)

(C)  \([CO_{2}] > [CO]\)

(D) \( [CO] = [H_{2}O]\) = \([CO_{2}]\) =  \([H_{2}]\)

▶️Answer/Explanation

Ans:B

Question

\(2H_{2}S(g)+CH_{4}(g)\rightleftharpoons CS_{2}+4H_{2}(g)\)                   \( k_{c}=3.4\times 10^{-4}\)

A 0.10 mol sample of each of the four species in the reaction represented above is injected into a rigid, previously evacuated 1.0 L container. Which of the following species will have the highest concentration when the system reaches equilibrium?

(A)\( H_{2}\)S(g)

(B)\( CH_{4}\)(g)

(C) \(CS_{2}\)(g)

(D) \(H_{2}\)(g)

▶️Answer/Explanation

Ans:A

Question

\(CH_{3}OH(g) \rightarrow  CO(g) + 2 H_{2}\)(g)                                         \(  \Delta H^{\circ}=+91KJ/mol_{rxn}\)

The reaction represented above goes essentially to completion. The reaction takes place in a rigid, insulated vessel that is initially at 600 K.

A sample of \(CH_{3}\)OH(g) is placed in the previously evacuated vessel with a pressure of \(P_1\) at 600 K. What is the final pressure in the vessel after the reaction is complete and the contents of the vessel are returned to 600 K?

(A) \(\frac{P_{1}}{9}\)

(B) \(\frac{P_{1}}{3}\)

(C) \({P_{1}}\)

(D)  \(3{P_{1}}\)

▶️Answer/Explanation

Ans:D

Question

\(CH_{3}OH(g) \rightarrow  CO(g) + 2 H_{2}\)(g)                                         \(  \Delta H^{\circ}=+91KJ/mol_{rxn}\)

The reaction represented above goes essentially to completion. The reaction takes place in a rigid, insulated vessel that is initially at 600 K.

A sample of \(CH_{3}\)OH(g) is placed in the previously evacuated vessel with a pressure of \(P_1\) at 600 K. What is the final pressure in the vessel after the reaction is complete and the contents of the vessel are returned to 600 K?

(A) \(\frac{P_{1}}{9}\)

(B) \(\frac{P_{1}}{3}\)

(C) \({P_{1}}\)

(D)  \(3{P_{1}}\)

▶️Answer/Explanation

Ans:D

Question

                                                   \(N_{2}O_{4}\rightleftharpoons 2NO_{2}(g)\)                                                     \(  K_{p}=3.0~at~70^{\circ}C   \)        

                                                       colorless                 brown                                                                             

A mixture of\( NO_{2}\)(g) and \(N_{2}O_{4}\)(g) is placed in a glass tube and allowed to reach equilibrium at 70°C, as represented above.                   

If \(P_{N_{2}0_{4}}\)  is 1.33 atm when the system is at equilibrium at 70°C, what is \(P_{NO_{2}}\)?

(A) 0.44 atm

(B) 2.0 atm

(C) 2.3 atm

(D) 4.0 atm

▶️Answer/Explanation

Ans:A

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