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The equilibrium constant of a reaction a...

The equilibrium constant of a reaction and the standard Gibbs energy change of the reaction are related by the equation

A

`Delta G^(@) = - RT ln K`

B

`Delta G^(@) = RT ln K`

C

`Delta G^(@) = nRT ln K`

D

`Delta G^(@) = - nRT ln K`

Text Solution

Verified by Experts

The correct Answer is:
B
According to thermodynamices,
`Delta G = Delta G^(@) + RT 1n Q`
At equlibrium (by definition), `Delta G = 0` and `Q = K`, where `K` is the equilibrium constant. Thus,
`0 = Delta G^(@) + RT 1n K`
or `Delta G^(@) = - RT 1n K`
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