One mole of an ideal gas (γ = 1.5) is expanded isothermally at 27°C until its volume triples. It is then compressed adiabatically to its original volume. The magnitude of the net work done by the gas

Question

One mole of an ideal gas (γ = 1.5) is expanded isothermally at 27°C until its volume triples. It is then compressed adiabatically to its original volume. The magnitude of the net work done by the gas (in J, nearest integer) is

TestHub · Accepted Answer

w 1 = RTln3 = 2494.2×1.0986 = 2740 J. C V = R/(γ-1) = 2R. T 3 = 300×3 0.5 = 519.6 K. w 2 = -C V Δ T = -2×8.314×219.6 = -3652 J. Net = 2740 - 3652 = -912 J, magnitude 912 J. Ans = 0912.

Chemistry - Thermodynamics - I Question with Solution | TestHub

Doubts & Discussion