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

• A
  $\Delta S = nRT\,\ln \left( {\frac{{{p_f}}}{{{p_i}}}} \right)$
• B
  $\Delta S = RT\,\ln \left( {\frac{{{p_i}}}{{{p_f}}}} \right)$
• C
  $\Delta S = nR\,\ln \left( {\frac{{{p_f}}}{{{p_i}}}} \right)$
• ✓
  $\Delta S = nR\,\ln \left( {\frac{{{p_i}}}{{{p_f}}}} \right)$