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Question

For a reversible adiabatic ideal gas expansion, the value of dPP is equal to:

A
γdVV
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B
γdVV
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C
(γγ1)dVV
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D
dVV
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Solution

The correct option is B γdVV
We know that for a reversible adiabatic process,
PVγ = constant
So, on differentiating with respect to V we get,
P.γ.Vγ1.dV+Vγ.dP=0
On rearranging, dPP=γdVV
hence, dPP=γdVV

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