Thermodynamics and ThermochemistryhardMCQ SINGLE⭐ Must-Do

For the reaction , kcal and cal/K at 300 K. What is the exact value of the Gibbs free energy change Thermodynamics and Thermochemistry Chemistry Question

Question

For the reaction $X_2O_4(l) \rightarrow 2XO_2(g)$, $\Delta U = 2.1$ kcal and $\Delta S = 20$ cal/K at 300 K. What is the exact value of the Gibbs free energy change ($\Delta G$)?

Answer: B

💡 Solution & Explanation

First, find $\Delta H = \Delta U + \Delta n_g RT$. $\Delta n_g = 2 - 0 = 2$. $\Delta H = 2100 \text{ cal} + 2 \times 2 \times 300 = 3300 \text{ cal} = 3.3 \text{ kcal}$. Then, $\Delta G = \Delta H - T\Delta S = 3300 - 300(20) = 3300 - 6000 = -2700 \text{ cal} = -2.7 \text{ kcal}$.

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