For given reaction
\(\mathrm{X}_2(\mathrm{~g})+\mathrm{Y}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{Z}(\mathrm{~g})\)
Moles of \(\mathrm{X_2, Y_2~\&~Z}\) at equilibrium are 3 moles, 3 moles & 9 moles respectively. If 10 moles of Z are added at constant T then find moles of Z at reestablished equilibrium:

1. 8
2. 12
3. 15
4. 21
Subtopic:  Le Chatelier's principle |
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Consider the given equilibrium:
\(\mathrm{CO}(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons \mathrm{CH}_4(\mathrm{~g})+\mathrm{H}_2 \mathrm{O}(\mathrm{~g})\)
If the pressure applied to the system increases twofold at constant temperature, then
(A) Concentration of the reactants and the products increases.
(B) Equilibrium will shift in the forward direction.
(C) The equilibrium constant increases since the concentration of the products increases.
(D) The equilibrium constant remains unchanged as the concentration of the reactants and the products remains the same.

Choose the correct answer from the options given below:
1. (A) and (B) only 2. (A), (B), and (D) only
3. (B) and (C) only 4. (A), (B), and (C) only
Subtopic:  Le Chatelier's principle |
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Which of the following is true for the degree of dissociation \(\alpha\) and pressure \(\mathrm{{P}_{T}}, \) for the reversible reaction \(\mathrm{{A}({g})} \rightleftharpoons \mathrm{{B}({g})+{C}({g})} \)?
1. If \(\mathrm{{P}_{T} \gg K_{P}},\) then \(\alpha \approx 1 \)
2. If \(\mathrm{{P}_{T}}\) increases, then \(\alpha\) decreases
3. If \(\mathrm{{P}_{T}}\) increases, then \(\alpha\) increases
4. If \(\mathrm{K_P \gg P_T,} \) then \(\alpha \) tends towards 0
Subtopic:  Le Chatelier's principle |
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Consider the following equilibrium reaction:
\(\mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{CO}(\mathrm{g}) \rightleftharpoons 2 \mathrm{Fe}(\mathrm{s})+3 \mathrm{CO}_2(\mathrm{~g})~\)
Which of the following will not affect the equilibrium state?
(I) Addition of \(\mathrm{Fe}_2 \mathrm{O}_3\)
(II) Addition of \(CO_2\)
(III) Decreasing the mass of \(\mathrm{Fe}_2 \mathrm{O}_3\)
(IV) Removal of \(CO\)

1. (II) and (IV)
2. (I) and (IV)
3. (I) and (III)
4. All will affect the equilibrium state
Subtopic:  Le Chatelier's principle |
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Consider the given reaction: 
\(\mathrm{Cr}_2 \mathrm{O}_7^{2-} \rightleftharpoons \mathrm{CrO}_4^{2-}\)

In which medium does the reaction proceed in the forward direction?
1. Acidic medium
2. Basic medium
3. Neutral medium
4. Slightly acidic medium
Subtopic:  Le Chatelier's principle |
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Consider the following reaction

\(P C l_5(g) \rightleftharpoons P C l_3(g)+\mathrm{Cl}_2(g) \)

Select the correct statement about the above equilibrium reaction:
1. On adding He gas at constant volume, equilibrium shifts in forward reaction.
2. On adding He gas at constant pressure, equilibrium shifts in forward reaction.
3. On adding He gas at constant pressure, equilibrium shifts in backward reaction.
4. On adding He gas at constant volume, equilibrium shifts in backward reaction.
Subtopic:  Le Chatelier's principle |
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Consider the following reaction 
\(\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons 2 \mathrm{NO}_2(g) ; \Delta H^0=+58 \mathrm{~kJ}\)
Also, consider the following stimuli on the above equilibrium.

(I) Temperature is decreased.
(II) Pressure is increased by adding N2 at constant temperature.

For each of the above cases (I, II), the direction in which the equilibrium shifts is:
1. (I) Towards reactant, (II) No change.
2. (I) Towards product, (II) Towards reactant.
3. (I) Towards product, (II) No change.
4. (I) Towards reactant, (II) Towards product.

Subtopic:  Le Chatelier's principle |
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Find the change that will increase the amount of ClF₃ at equilibrium for the exothermic reaction:

Cl₂(g) + 3F₂(g) ⇌ 2ClF₃(g), ΔH = −329 kJ

1. Adding F₂
2. Increasing the volume of the container
3. Removing Cl₂
4. Increasing the temperature
Subtopic:  Le Chatelier's principle |
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