What is the change in Gibbs free energy if (N_{mathrm{A}}) moles of an ideal gas A at

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What is the change in Gibbs free energy if \(N_{\mathrm{A}}\) moles of an ideal gas A at temperature \(T\) and pressure \(P\) is mixed with \(N_{\mathrm{B}}\) moles of an ideal gas B at the same temperature and pressure?

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