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Q.

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of CpCυ for the gas is

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a

53

b

32

c

43

d

2

answer is B.

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Detailed Solution

P∝T3PT3= constant       ---(i)For an adiabatic process,PTγ/1−γ=constant        ---(ii)Comparing (i) and (ii), we getγ1−γ=−3 γ=−3+3γ −2γ=−3    or   γ=32 As γ=CpCυ    ∴  CpCυ=32
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of CpCυ for the gas is