Condition for spontaneity in an isothermal process is, Δ A + W 0, Δ G + U 0, Δ A + U > 0, Δ G − U 0

Since Δ G = Δ A + P .Δ V For a spontaneous process Δ G should be negative which is possible only if Δ A + P .Δ V or Δ A + W 0

Condition for spontaneity in an isothermal process is

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Condition for spontaneity in an isothermal process is

ChemistryThermodynamics (C)VITEEEVITEEE 2007

Options:

A $\Delta \mathrm{A}+\mathrm{W} < 0$
B $\Delta \mathrm{G}+\mathrm{U} < 0$
C $\Delta \mathrm{A}+\mathrm{U}>0$
D $\Delta \mathrm{G}-\mathrm{U} < 0$

Solution:

1842 Upvotes Verified Answer

The correct answer is: $\Delta \mathrm{A}+\mathrm{W} < 0$

Since $\Delta \mathrm{G}=\Delta \mathrm{A}+\mathrm{P} . \Delta \mathrm{V}$
For a spontaneous process $\Delta \mathrm{G}$ should be negative which is possible only if
$\Delta \mathrm{A}+\mathrm{P} . \Delta \mathrm{V}$ or $\Delta \mathrm{A}+\mathrm{W} < 0$

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