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For a chemical reaction, if the value of the equilibrium constant ($K_c$) is $2.4 \times 10^{47}$, what can be inferred about the extent of the reaction?

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Explanation

According to the NCERT text, 'If $K_c > 10^3$, products predominate over reactants, i.e., if $K_c$ is very large, the reaction proceeds nearly to completion.' A value of $2.4 \times 10^{47}$ is significantly greater than $10^3$.

Which of the following statements regarding the equilibrium constant ($K_c$) is INCORRECT?

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Explanation

The NCERT text states: 'The numerical value of the equilibrium constant for a reaction indicates the extent of the reaction. But it is important to note that an equilibrium constant does not give any information about the rate at which the equilibrium is reached.' Therefore, a large $K_c$ indicates extensive product formation at equilibrium, not a slow rate.

If the equilibrium constant ($K_c$) for a reaction is $5.0 \times 10^{-5}$, which of the following describes the composition of the equilibrium mixture?

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Explanation

As per the NCERT text, 'If $K_c < 10^{-3}$, reactants predominate over products, i.e., if $K_c$ is very small, the reaction proceeds rarely.' A value of $5.0 \times 10^{-5}$ is smaller than $10^{-3}$.

For the reaction $H_2(g) + Br_2(g) \rightleftharpoons 2HBr(g)$ at 300 K, the equilibrium constant ($K_c$) is $5.4 \times 10^{18}$. What does this value suggest about the reaction?

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Explanation

The NCERT states, 'If $K_c > 10^3$, products predominate over reactants, i.e., if $K_c$ is very large, the reaction proceeds nearly to completion.' A $K_c$ value of $5.4 \times 10^{18}$ is very large, indicating a strong preference for product formation at equilibrium.

Consider a reaction with an equilibrium constant $K_c = 0.5$. Which of the following is true at equilibrium?

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Explanation

The NCERT implies that for intermediate $K_c$ values (between $10^{-3}$ and $10^3$), the concentrations of reactants and products are comparable. Since $K_c = 0.5$ falls within this range, both reactants and products will be present in comparable amounts.

The equilibrium constant for the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$ is $K_c$. If the temperature is increased for this exothermic reaction, what happens to the value of $K_c$?

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Explanation

The NCERT states, 'The equilibrium constant for an exothermic reaction (negative $\Delta H$) decreases as the temperature increases.' For the formation of ammonia, $\Delta H$ is negative (exothermic).

For the thermal decomposition of calcium carbonate, $CaCO_3(s) \rightleftharpoons CaO(s) + CO_2(g)$, the equilibrium constant $K_p$ at 1100 K is 2.00. What is the partial pressure of $CO_2(g)$ at equilibrium at this temperature?

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Explanation

The NCERT states, 'Kp = $pCO_2$ = $2 \times 10^5$ Pa/10^5 Pa = 2.00'. This means that $pCO_2$ divided by $10^5$ Pa equals 2.00, so $pCO_2 = 2.00 \times 10^5$ Pa. The example explicitly demonstrates this calculation for $K_p$ in the context.

An endothermic reaction has a $\Delta H > 0$. If the temperature of this reaction at equilibrium is increased, what will be the effect on its equilibrium constant ($K_c$)?

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Explanation

The NCERT specifies, 'The equilibrium constant for an endothermic reaction (positive $\Delta H$) increases as the temperature increases.'

In a heterogeneous equilibrium involving solids, such as $Ni(s) + 4CO(g) \rightleftharpoons Ni(CO)_4(g)$, why are the concentrations of pure solids not included in the equilibrium constant expression?

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Explanation

The NCERT states, 'it must be remembered that for the existence of heterogeneous equilibrium pure solids or liquids must also be present (however small the amount may be) at equilibrium, but their concentrations or partial pressures do not appear in the expression of the equilibrium constant' because they are constant. This is also implicitly shown in the $CaCO_3$ decomposition example.

Which of the following characteristics is NOT true for an equilibrium constant?

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Explanation

The NCERT explicitly states, 'An equilibrium constant does not give any information about the rate at which the equilibrium is reached.' However, it can predict the extent and direction of a reaction, and calculate equilibrium concentrations, and is temperature dependent.

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