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Question

Chemistry Question on Spontaneity

Condition for spontaneity in an isothermal process is

A

ΔA+W<0\Delta A + W < 0

B

ΔG+U<0\Delta G + U < 0

C

ΔA+U>0\Delta A + U > 0

D

ΔGU<0\Delta G - U < 0

Answer

ΔA+W<0\Delta A + W < 0

Explanation

Solution

The condition for spontaneity in an isothermal process is that ΔG\Delta G should be negative.
ΔG=ΔA+PΔV\because \Delta G=\Delta A+P \cdot \Delta V
ΔG=ΔA+W(W=PΔV)\Delta G=\Delta A+W \quad(\because W=P \cdot \Delta V)
\therefore For spontaneity in an isothermal process:
ΔA+W<0\Delta A+W < 0