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Question

An ideal gas with adiabatic exponent γ is heated at constant pressure. It absorb Q amount of heat. Determine the fractions of heat absorbed in raising the internal energy and performing the work.

A
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B
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C
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D
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Solution

The correct option is B At constant pressure heat absorbed by the system is, Q=nCPΔT and internal energy change is, ΔU=nCVΔT Therefore the fraction, ΔUQ=nCVΔTnCPΔT=CVCP=1γ From the first law of thermodynamics, we know W = Q - DU Therefore, the fraction, WQ=Q−ΔUQ=1−ΔUQ=1−1γ Note : In terms of the degree of freedom f, the above fractions may be written as ΔUQ=ff+2 and WQ=2f+2

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