Consider a thermodynamic cycle in a P V diagram (Figure 3.94) performed on one mole of a monatomic gas. The temperature at A is T 0 and volumes at B and C are related as V B = V C = 2 V A . Ch

Question

Consider a thermodynamic cycle in a P V diagram (Figure 3.94) performed on one mole of a monatomic gas. The temperature at A is T 0 ​ and volumes at B and C are related as V B ​ = V C ​ = 2 V A ​ . Choose the correct option(s):

TestHub · Accepted Answer

A B lies on a line through the origin, so P B ​ = 2 P A ​ and T B ​ = 4 T 0 ​ , T C ​ = 2 T 0 ​ (A). Net work = triangle area = 2 1 ​ P A ​ V A ​ = 0.5 R T 0 ​ (B). P ∝ V gives C = 2 3 ​ R + 2 R ​ = 2 R (C). Q A B ​ = 2 3 ​ R ( 3 T 0 ​ ) + 2 3 ​ R T 0 ​ = 6 R T 0 ​ is the only heat input, so η = 6 0.5 ​ = 8.33% (D). All are correct.

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Options:(select one or more)

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