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Consider a thermodynamic cycle in a pv diagram shown in the figure performed on one mole of a monatomic gas the temperature at A is T and volume at A and B are related as Vb=Vc=2Va?
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Consider a thermodynamic cycle in a pv diagram shown in the figure per...
Explanation of the Thermodynamic Cycle in PV Diagram:

  • Initial State A: At state A, the temperature of the monatomic gas is T and the volume is Va.

  • Process AB: The gas undergoes an isobaric process from A to B, where the volume doubles from Va to 2Va.

  • State B: At state B, the volume of the gas is 2Va and the pressure remains constant.

  • Process BC: The gas undergoes an isochoric process from B to C, where the temperature decreases from T to T/2.

  • State C: At state C, the volume of the gas is still 2Va, but the temperature has decreased to T/2.

  • Process CA: The gas undergoes an isobaric process from C to A, where the volume decreases from 2Va to Va.

  • Final State A: The cycle ends at state A, where the volume of the gas is Va and the temperature has increased back to T.


Overall, the cycle consists of two isobaric processes and one isochoric process, resulting in no net work done by the gas. However, the cycle does result in a net heat transfer to the gas, as heat is absorbed during process BC and released during process CA.
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Consider a thermodynamic cycle in a pv diagram shown in the figure performed on one mole of a monatomic gas the temperature at A is T and volume at A and B are related as Vb=Vc=2Va?
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