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Question 19.2: Predicting the Sign of the Entropy Change of a Reaction a. T...

Predicting the Sign of the Entropy Change of a Reaction

a. The following equation represents the essential change that takes place during the fermentation of glucose (grape sugar) to ethanol (ethyl alcohol).

\underset{\text { glucose }}{\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s)} \longrightarrow \underset{\substack{\text { ethanol }}}{2 \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l)}+2 \mathrm{CO}_{2}(g)

Is S^{\circ} positive or negative? Explain.

b. Do you expect the entropy to increase or decrease in the preparation of urea from \mathrm{NH}_{3} and \mathrm{CO}_{2} ?

2 \mathrm{NH}_{3}(g)+\mathrm{CO}_{2}(g) \longrightarrow \mathrm{NH}_{2} \mathrm{CONH}_{2}(a q)+\mathrm{H}_{2} \mathrm{O}(l)

Explain.

c. What is the sign of \Delta S^{\circ} for the following reaction?

\mathrm{CO}(g)+\mathrm{H}_{2} \mathrm{O}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{H}_{2}(g)

PROBLEM STRATEGY

Compare the reactants and products in each reaction. Look for the following: molecules breaking into smaller parts or aggregrating into larger parts, moles of gas increasing or decreasing, and changes of state. Then apply the three rules preceding this example.

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