One mole of a monoatomic ideal gas undergoes the process A → B in the given P-V diagram. The specific heat for this process is

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T A ​ = R 3 P 0 ​ V 0 ​ ​ , T B ​ = R 6 P 0 ​ × 5 V 0 ​ ​ = R 30 P 0 ​ V 0 ​ ​ , so Δ T = R 27 P 0 ​ V 0 ​ ​ . Δ U = 2 3 R ​ Δ T = 2 81 ​ P 0 ​ V 0 ​ ; W = 2 3 P 0 ​ + 6 P 0 ​ ​ × 4 V 0 ​ = 18 P 0 ​ V 0 ​ . Q = Δ U + W = 2 117 ​ P 0 ​ V 0 ​ ; C = Δ T Q ​ = 2 × 27 117 R ​ = 6 13 R ​ .

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