As the volume of the gas is increased, in some range of volume the gas expands with absorbing the heat (the endothermic process); in the other range the gas emits the heat (the exothermic process). Th

Question

As the volume of the gas is increased, in some range of volume the gas expands with absorbing the heat (the endothermic process); in the other range the gas emits the heat (the exothermic process). Then the volume after which if the volume of gas is further increased the given process switches from endothermic to exothermic is

TestHub · Accepted Answer

P = P 0 ​ ( 1 − V 0 ​ V ​ ) RT = P V = P 0 ​ V ( 1 − V 0 ​ V ​ ) δ Q = d U + P d V = 2 3 R ​ d T + P d V d V δ Q ​ = 2 3 P 0 ​ ​ ( 1 − V 0 ​ 2 V ​ ) + P 0 ​ ( 1 − V 0 ​ V ​ ) d V δ Q ​ = 2 P 0 ​ ​ ( 5 − V 0 ​ 8 V ​ ) = 0 V = 8 5 V 0 ​ ​ Beyond this volume the heat input becomes negative. Answer C.

Physics - Heat & Thermo Question with Solution | TestHub

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