Thermodynamics - Result Question 30

31. A sample of gas expands from volume V1 to V2. The amount of work done by the gas is greatest, when the expansion is

(a) adiabatic

(b) isobaric

(c) isothermal

(d) equal in all cases

[1997]

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Answer:

Correct Answer: 31. (b)

Solution:

  1. (b) In thermodynamics for same change in volume, the work done is maximum in isobaric process because in PV graph, area enclosed by curve and volumeaxis is maximum in isobaric process.

(d) We know that in adiabatic process, PVγ= constant

From ideal gas equation, we know that PV=nRT

V=nRTP

Puttingt the value from equation (2) in equation (1),

P(nRTP)γ= constant P(1γ)Tγ= constant



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