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Q#1 GATE CH 2019 MCQ +1 mark -0.33 marks

Consider a rigid, perfectly insulated, container partitioned into two unequal parts by a thin membrane (see figure). One part contains one mole of an ideal gas at pressure Pi and temperature Ti while the other part is evacuated. The membrane ruptures, the gas fills the entire volume and the equilibrium pressure is Pf = Pi/4. If Cp (molar specific heat capacity at constant pressure), Cv (molar specific heat capacity at constant volume) and R (universal gas constant) have the same units as molar entropy, the change in molar entropy (Sf - Si) is

.

Cpln2 + Rln4

-Cvln2 + Rln4

Rln4

Cpln2

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