JEE MAIN - Chemistry (2012 - No. 7)
The incorrect expression among the following is :
$${{\Delta {G_{system}}} \over {\Delta {S_{total}}}} = - T$$
In isothermal process $${w_{reversible}}$$ = $$ - nRT\,\ln \,{{{V_f}} \over {{V_i}}}$$
In $$K\, = {{\Delta {H^o} - T\Delta {S^o}} \over {RT}}$$
$$K\, = \,{e^{ - \Delta {G^o}/RT}}$$
Explanation
$$\Delta {G^ \circ } = \Delta {H^ \circ } - T\Delta {S^ \circ };$$
$$\,\,\,\,\,\,\,\,\, - RT\,\ell nK = \Delta {H^ \circ } - T\Delta {S^ \circ }$$
$$\ell nK = - {{\Delta {H^ \circ } - T\Delta {S^ \circ }} \over {RT}}$$
$$\,\,\,\,\,\,\,\,\, - RT\,\ell nK = \Delta {H^ \circ } - T\Delta {S^ \circ }$$
$$\ell nK = - {{\Delta {H^ \circ } - T\Delta {S^ \circ }} \over {RT}}$$
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