In the given P − V diagram, a monoatomic gas ( γ = 3 5 ) is first compressed adiabatically from state A to state B . Then it expands isothermally from state B to state C . [Given: ( 3 1 ) 0.6 ≃ 0.

Question

In the given P − V diagram, a monoatomic gas ( γ = 3 5 ​ ) is first compressed adiabatically from state A to state B . Then it expands isothermally from state B to state C . [Given: ( 3 1 ​ ) 0.6 ≃ 0.5 , ln 2 ≃ 0.7 ] . Which of the following statement(s) is(are) correct?

TestHub · Accepted Answer

Adiabatic A to B: P A ​ V A γ ​ = P B ​ V B γ ​ ⇒ V B ​ = 0.8 ( 3 1 ​ ) 0.6 = 0.4 m 3 W A B ​ = γ − 1 P A ​ V A ​ − P B ​ V B ​ ​ = − 60 k J Isothermal B to C: W BC ​ = P B ​ V B ​ ln V B ​ V C ​ ​ = 3 × 1 0 5 × 0.4 ln 2 = 84 k J W C A ​ = 0 ( Δ V = 0 ) Net work: W = ( − 60 + 84 ) k J = 24 k J . So B, C, D are correct.

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