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

$\triangle S = nRIn(\dfrac{pf}{p_i})$
$\triangle S = nRIn(\dfrac{p_i}{pf})$
$\triangle S = nRTIn(\dfrac{pf}{p_i})$
$\triangle S = RTIn(\dfrac{p_i}{pf})$
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