Question

A Carnot's engine uses first an ideal monoatomic gas then an ideal diatomic gas. If the source and sink temperature are 411 and 69 degree Celsius respectively and the engine extracts 1000 J of heat in each cycle then area enclosed by PV diagram is

Answer 1

The work done is 500 J.

Explanation:

• Efficiency of carnot engine (η) = 1 - Tc / Th = W / Qh
• The efficiency of a carnot engine does not depend on the type of a gas, i.e. whether it is mono atomic or diatomic.

W = 1000 [ 1 - 342 / 684 ]

W = 1000 ( 1 - 0.5)

W = 500 J

• Work done is 500 J i.e. the area enclosed in PV diagram.
• So the work done in both cases is 500 J.

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