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Question

For an adiabatic expansion of perfect gas, the value of (ΔPP) is equal to

A
y1/2(ΔVV)
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B
(ΔVV)
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C
γ(ΔVV)
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D
γ2(ΔVV)
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Solution

The correct option is D γ(ΔVV)
In an adiabatic expansion of gas,
PVγ=constant
Taking logarithm on both sides
ln(P)+γln(V)=ln(C)

On differentiating:
ΔPP+γΔVV=0ΔPP=γΔVV
Hence, option C is correct.

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