Question 7.5: Entropy Change of Processes Does entropy increase or decreas......

Entropy Change of Processes
Does entropy increase or decrease in the following processes?
(a) Smoke from a cigarette disperses throughout a room rather than remaining in a cloud over the smoker’s head.
(b) Water boils, changing from liquid to vapor.
(c) A chemical reaction occurs: 3 H_{2}(g) + N_{2}(g) → 2 NH_{3}(g)

ANALYSIS Entropy is a measure of molecular disorder. Entropy increases when the products are more disordered than the reactants; entropy decreases when the products are less disordered than the reactants.

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(a) Entropy increases because smoke particles are more disordered when they are randomly distributed in the larger volume.
(b) Entropy increases because H_{2}O molecules have more freedom and disorder in the gas phase than in the liquid phase.
(c) Entropy decreases because 4 mol of reactant gas particles become 2 mol of product gas particles, with a consequent decrease in freedom and disorder.

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