For a sample of perfect gas when its pressure is changed isothermally from pi to pf, the entropy change is given by

Question

For a sample of perfect gas when its pressure is changed isothermally from p_i to p_f, the entropy change is given by

$\Delta S = nR\,\ln \left( {{{{p_f}} \over {{p_i}}}} \right)$

$\Delta S = nR\,\ln \left( {{{{p_i}} \over {{p_f}}}} \right)$

$\Delta S = nRT\,\ln \left( {{{{p_f}} \over {{p_i}}}} \right)$

$\Delta S = RT\,\ln \left( {{{{p_i}} \over {{p_f}}}} \right)$

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