JEE MAIN - Chemistry (2021 - 31st August Evening Shift - No. 10)
The incorrect expression among the following is :
$${{\Delta {G_{System}}} \over {\Delta {S_{Total}}}} = - T$$ (at constant P)
$$K = {{\Delta H^\circ - T\Delta S^\circ } \over {RT}}$$
$$K = {e^{ - \Delta G^\circ /RT}}$$
For isothermal process $${w_{reversible}} = - nRT\ln {{{V_f}} \over {{V_i}}}$$
Explanation
Option (b) is incorrect.
$$\Delta$$G$$^\circ$$ = $$-$$RT ln K
$$\Delta$$H$$^\circ$$ $$-$$ T$$\Delta$$S$$^\circ$$ = $$-$$RT ln K
ln K = $$\left[ {{{\Delta H^\circ - \Delta S^\circ } \over {RT}}} \right]$$
$$\Delta$$G$$^\circ$$ = $$-$$RT ln K
$$\Delta$$H$$^\circ$$ $$-$$ T$$\Delta$$S$$^\circ$$ = $$-$$RT ln K
ln K = $$\left[ {{{\Delta H^\circ - \Delta S^\circ } \over {RT}}} \right]$$
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