For a chemical reaction A^{+} + B rightleftha | vedclass

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Question

(C) For a reaction to be spontaneous,the Gibbs free energy change $\Delta G^{0}$ must be less than $0$.$\Delta G^{0} = \Delta_{r} H^{0} - T \Delta_{r}

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(C) For a reaction to be spontaneous,the Gibbs free energy change $\Delta G^{0}$ must be less than $0$.$\Delta G^{0} = \Delta_{r} H^{0} - T \Delta_{r} S^{0} Given $\Delta_{r} H^{0} = 80 \, kJ \, mol^{-1} = 80000 \, J \, mol^{-1}$ and $\Delta_{r} S^{0} = 2T \, J \, K^{-1} \, mol^{-1}$.Substituting the values:$80000 - T(2T) $80000 - 2T^{2} $2T^{2} > 80000$$T^{2} > 40000$$T > \sqrt{40000}$$T > 200 \, K$Therefore,the minimum temperature at which the reaction becomes spontaneous is $200 \, K$.

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