Question
The incorrect expression among the following is :
A.
$$\frac{{\Delta {G_{system}}}}{{\Delta {S_{total}}}} = - T$$
B.
In isothermal process, $${w_{reversible}} = - nRT\,\ell n\frac{{{V_f}}}{{{V_i}}}$$
C.
$$\ell nK = \frac{{\Delta {H^ \circ } - T\Delta {S^ \circ }}}{{RT}}$$
D.
$$K = {e^{\frac{{ - \Delta {G^ \circ }}}{{RT}}}}$$
Answer :
$$\ell nK = \frac{{\Delta {H^ \circ } - T\Delta {S^ \circ }}}{{RT}}$$
Solution :
$$\eqalign{
& \Delta {G^ \circ } = \Delta {H^ \circ } - T\Delta {S^ \circ };\, - RT\,\ell nK = \Delta {H^ \circ } - T\Delta {S^ \circ } \cr
& \ell nK = \frac{{\Delta {H^ \circ } - T\Delta {S^ \circ }}}{{RT}} \cr} $$