Question

Calculate the standard molar Gibbs energy of a solution that has a chemical potential of 5.9 kj/mol at 222K and 12 bar.

6. Calculate the standard molar Gibbs energy of a solution that has a chemical potential of 5.9 kJ/mol at 222 K and 12 bar.

Answer 1

the pressure dependence for one component

$\Delta$ Gi = $\Delta$ G⁰ + RT ln( P/ 1 bar)

to a multicomponen t system

$\Delta$ μi = $\Delta$ μi⁰ + RT ln (Pi /1 bar)

These two expressions are essentially identical and The chemical potential, μi, is nothing more than a molar free energy.

so $\Delta$ Gi = $\Delta$ G⁰ + RT ln( P/ 1 bar)

5.9 kj/mol = $\Delta$ G⁰ + 8.314 j/K mol x 222K x ln12

   $\Delta$ G⁰   = (5900 -4586) j/mol

= 1313.58 j/mol

= 1.3 kj/mol