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Question

A gas undergoes a process in which the pressure is P, the volume is V and they are related as VPn=constant. What is the bulk modulus of the gas in this process?

A
nP
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B
P1/n
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C
Pn
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D
Pn
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Solution

The correct option is C Pn
The equation for the thermodynamic process is given as VPn= constant
Differentiating with respect to V, we get
Pn+VnPn1dPdV=0
P+nVdPdV=0
Pn=VdPdV=dP(dVV)= bulk modulus of gas

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