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Question

The adiabatic Bulk modulus of a perfect gas at pressure P is given by

A
P
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B
2P
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C
P/2
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D
γP
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Solution

The correct option is D γP
Bulk modulus,
B=dPdVV=VdPdV

PVγ= constant
PγVγ1dV+VγdP=0
Pγ=VdPdV =VdPdV=B=Pγ

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