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Thermodynamics

# In an irreversible process taking place at constant $T$ and $p$ and in which only pressure-volume work is being done, the change in Gibbs free energy $(dG)$ and change in entropy $(dS)$, satisfy the criteria

$\begin {array} {1 1} (A)\;(dS)_{V,E}<0, (dG)_{T,P}<0 & \quad (B)\;(dS)_{V,E}>0, (dG)_{T,P}<0 \\ (C)\;(dS)_{V,E}=0, (dG)_{T,P}=0 & \quad (D)\;(dS)_{V,E}=0, (dG)_{T,P}>0 \end {array}$

An irreversible process
$\Rightarrow$ Spontaneous process
$\Rightarrow (dS)_{V,E}$(change in entropy) $= +ve > 0$
$\Rightarrow (dG)_{T,P}$ (change in Gibbs free energy) $= -ve < 0$
Ans : (B)