QuestionJune 12, 2025

Use values of Delta G_(f)^circ from the appendix of your textbook to determine Delta G_(rtimes n)^circ for the following balanced chemical equation. 2NH_(3)(g)+2H_(2)O(g)arrow 2NO(g)+5H_(2)(g) Delta G_(rxn)^circ =square kJ

Use values of Delta G_(f)^circ from the appendix of your textbook to determine Delta G_(rtimes n)^circ for the following balanced chemical equation. 2NH_(3)(g)+2H_(2)O(g)arrow 2NO(g)+5H_(2)(g) Delta G_(rxn)^circ =square kJ
Use values of Delta G_(f)^circ from the appendix of your textbook to determine Delta G_(rtimes n)^circ for the following balanced chemical equation. 2NH_(3)(g)+2H_(2)O(g)arrow 2NO(g)+5H_(2)(g) Delta G_(rxn)^circ =square kJ

Solution
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Answer

\Delta G_{rxn}^{\circ} = 70.4 \text{ kJ} Explanation 1. Identify \Delta G_{f}^{\circ} Values Obtain standard Gibbs free energy of formation values for each compound from the appendix: NH_3(g), H_2O(g), NO(g), and H_2(g). 2. Apply the Reaction Formula Use the formula **\Delta G_{rxn}^{\circ} = \sum (\Delta G_{f}^{\circ} \text{ of products}) - \sum (\Delta G_{f}^{\circ} \text{ of reactants})**. 3. Calculate Products Contribution For 2NO(g) and 5H_2(g): 2 \times \Delta G_{f}^{\circ}(NO) + 5 \times \Delta G_{f}^{\circ}(H_2). 4. Calculate Reactants Contribution For 2NH_3(g) and 2H_2O(g): 2 \times \Delta G_{f}^{\circ}(NH_3) + 2 \times \Delta G_{f}^{\circ}(H_2O). 5. Compute \Delta G_{rxn}^{\circ} Subtract the total Gibbs free energy of reactants from that of products using the values obtained.

Explanation

1. Identify $\Delta G_{f}^{\circ}$ Values<br /> Obtain standard Gibbs free energy of formation values for each compound from the appendix: $NH_3(g)$, $H_2O(g)$, $NO(g)$, and $H_2(g)$.<br /><br />2. Apply the Reaction Formula<br /> Use the formula **$\Delta G_{rxn}^{\circ} = \sum (\Delta G_{f}^{\circ} \text{ of products}) - \sum (\Delta G_{f}^{\circ} \text{ of reactants})$**.<br /><br />3. Calculate Products Contribution<br /> For $2NO(g)$ and $5H_2(g)$: $2 \times \Delta G_{f}^{\circ}(NO) + 5 \times \Delta G_{f}^{\circ}(H_2)$.<br /><br />4. Calculate Reactants Contribution<br /> For $2NH_3(g)$ and $2H_2O(g)$: $2 \times \Delta G_{f}^{\circ}(NH_3) + 2 \times \Delta G_{f}^{\circ}(H_2O)$.<br /><br />5. Compute $\Delta G_{rxn}^{\circ}$<br /> Subtract the total Gibbs free energy of reactants from that of products using the values obtained.
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