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Question

A gas undergoes a process in which the pressure and volume are related by VPn=constant. Find the bulk modulus of the gas.

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Solution

Bulk modulus of the gas B=dPdV/V (at constant temperature)
The given process is VPn=constant
Differentiating, we get V×nPn1dP+PndV=0
VnPn1dP=PndV
dPdV/V=Pn
Bulk modulus of the gas B=Pn

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