Which of the following equation, relates temperature of a reaction with $\Delta \mathrm{H}^{\circ}$ and…

Which of the following equation, relates temperature of a reaction with $\Delta \mathrm{H}^{\circ}$ and $\Delta \mathrm{S}^{\circ}$ at equilibrium?
  1. $\Delta H^{\circ}=\frac{T}{\Delta S^{\circ}}$
  2. $\Delta \mathrm{H}^{\circ}=\frac{\Delta \mathrm{S}^{\circ}}{\mathrm{T}}$
  3. $\Delta \mathrm{H}^{\circ}=\mathrm{T} \Delta \mathrm{S}^{\circ}$
  4. $\Delta \mathrm{H}^{\circ}=\frac{1}{\mathrm{~T} \Delta \mathrm{~S}^{\circ}}$

Solution

$\begin{array}{ll} & \Delta G^{\circ}=\Delta H^{\circ}-T \Delta S^{\circ} \\ & \text { At equilibrium, } \Delta G^{\circ}=0 \\ \therefore \quad & 0=\Delta H^{\circ}-T \Delta S^{\circ} \\ \therefore \quad & \Delta H^{\circ}=T \Delta S^{\circ}\end{array}$

Asked in: MHT CET 2024 (16 May Shift 2)

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