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Question 32

During which of the following processes, does entropy decrease?
(A) Freezing of water to ice at 0°C
(B) Freezing of water to ice at -10°C
(C) N$$_2$$(g) + 3H$$_2$$(g) $$\to$$ 2NH$$_3$$(g)
(D) Adsorption of CO(g) and lead surface
(E) Dissolution of NaCl in water

We need to identify processes where entropy decreases.

(A) Freezing of water to ice at 0°C converts a liquid to a more ordered solid, so entropy decreases.

(B) Freezing of water to ice at $$-10°\text{C}$$ also converts liquid to solid, which decreases entropy. Although this is not at the equilibrium freezing point, the phase change itself still involves a decrease in entropy of the system.

(C) $$\text{N}_2(g) + 3\text{H}_2(g) \to 2\text{NH}_3(g)$$: four moles of gas become two moles, reducing the disorder, so entropy decreases.

(D) Adsorption of $$\text{CO}(g)$$ on a lead surface restricts the gas molecules to a surface, decreasing their freedom of motion, so entropy decreases.

(E) Dissolution of NaCl in water involves breaking the crystal lattice and dispersing ions into solution, which increases the entropy.

Processes (A), (B), (C), and (D) all show a decrease in entropy, making the correct answer (A), (B), (C) and (D) only.

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