One mole of an ideal gas at temperature T₁ expands according to P/V²=a (constant). The work done by the gas until its temperature becomes T₂ is:
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One mole of an ideal gas at temperature T₁ expands according to P/V²=a (constant). The work done by the gas until its temperature becomes T₂ is:

G1 Physics · Accepted Answer

Use the first law Q=ΔU+W (W by the gas), ΔU=nCᵥΔT for an ideal gas, and the appropriate process relation. For Carnot devices, let T₁ be the cold-reservoir temperature and T₂ be the hot-reservoir temperature; η=1−T₁/T₂ and COP=T₁/(T₂−T₁). Evaluating the given data/statements gives B: (1/3)R(T₂−T₁). Therefore the correct answer is B.