Sulphur trioxide is produced according to the reaction [ mathrm{SO}_{2}(mathrm{~g})+frac{1}{2} mathrm{O}_{2}(mathrm{~g}) ightarrow mathrm{SO}_{3} ] Given that

Sulphur trioxide is produced according to the reaction

\[ \mathrm{SO}_{2}(\mathrm{~g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{SO}_{3} \]

Given that

\[ \begin{aligned} & \Delta H_{f, 298}^{0} \text { for } \mathrm{SO}_{2}=-70.96 \mathrm{kcal} / \mathrm{mol} \\ & \Delta H_{f, 298}^{0} \text { for } \mathrm{SO}_{3}=-94.45 \mathrm{kcal} / \mathrm{mol} \\ & \Delta G_{f, 298}^{0} \text { for } \mathrm{SO}_{2}=-71.79 \mathrm{kcal} / \mathrm{mol} \\ & \Delta G_{f, 298}^{0} \text { for } \mathrm{SO}_{3}=-88.52 \mathrm{kcal} / \mathrm{mol} \end{aligned} \]

Constants of isobaric molar heat capacities are tabulated as follows:

(a) Determine the standard heat of reaction as a function of temperature

(b) Determine the equilibrium constant as a function of temperature at \(500 \mathrm{~K}\)

(c) Calculate the standard free energy change at \(500 \mathrm{~K}\).

Transcribed Image Text:

Components SO3(g) 3.918 10 3.483 YX 105 -2.675 SO2(g) 6.157 1.384 -0.9103 O2(g) 6.085 0.3631 -0.1709