Question

2nh₃(g) + 3o₂(g) + ch₄(g) → 2hcn(g) + 6h₂o(g) considering the thermodynamic data given below, which statement describes the thermodynamic favorability of the system? δg° = −1107 kj δh° = −1015 kj δs° = + 351 j/k a. always favorable b. never favorable c. favorable at high t d. favorable at low t enter the answer choice letter.

Explanation:

To determine thermodynamic favorability, we use the Gibbs free energy equation $\Delta G = \Delta H - T\Delta S$. Here, $\Delta H^\circ = -1015\ \text{kJ}$ (exothermic, favorable) and $\Delta S^\circ = +351\ \text{J/K}$ (increase in disorder, favorable). The sign of $\Delta G$ depends on both terms. Since $\Delta H$ is negative and $\Delta S$ is positive, the term $-T\Delta S$ will also be negative (because $T$ is always positive in Kelvin). So, $\Delta G = \text{negative} - T(\text{positive})$, and both terms contribute to $\Delta G$ being negative. This means the reaction is spontaneous (favorable) at all temperatures (always favorable).

Answer:

A