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Whenever using the gas constant, you are always trying to match up the units. In the case of G=RTlnK you are always going to use 8.314 J/mol.K because the units match (G is in J/mol, T is in kelvin).
Yes you would use 8.314 J/mol*K because the units for Gibbs Free Energy involves J/mol or kJ/mol. Thus, when using the equation delta G= -RTlnK you would use 8.314 J/mol*K as the value of the Gas constant.
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