ThermodynamicsHard

Question

Two moles of an ideal monoatomic gas is heated from 27°C to 627°C, reversibly and isochorically. The entropy of gas

Options

A.increases by 2R ln3
B.increases by 3R ln3
C.decreases by 2R ln3
D.decreases by 3R ln3

Solution

$\Delta S = n.C_{v,m}.\ln\frac{T_{2}}{T_{1}} = 2 \times R \times \ln\frac{900}{300} = 2R.\ln 3$

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