# Which of the following statements is correct for a reversible process in a state of equilibrium? Option 1) $\Delta G=2.30\ RT\ log \ K$ Option 2) $\Delta G^{o}=-2.30\ RT\ log \ K$ Option 3) $\Delta G^{o}=2.30\ RT\ log \ K$ Option 4) $\Delta G=-2.30\ RT\ log \ K$

As we discussed in concept

Relation between Gibbs energy and reaction Quotient -

$\bigtriangleup G=\bigtriangleup G^{\circ}+RTl_{n}Q$

- wherein

$\bigtriangleup G^{\circ}$ is standard Gibbs energy.

$Q\rightarrow Reaction\:Quotient$

$\Delta G^{\circ}= -2.30\:RT\:log\:K$

Option 1)

$\Delta G=2.30\ RT\ log \ K$

This option is incorrect.

Option 2)

$\Delta G^{o}=-2.30\ RT\ log \ K$

This option is correct.

Option 3)

$\Delta G^{o}=2.30\ RT\ log \ K$

This option is incorrect.

Option 4)

$\Delta G=-2.30\ RT\ log \ K$

This option is incorrect.

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