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A given quantity of an ideal monoatomic gas is at pressure P and absolute temperature T,then the adiabatic bulk modulus of gas is A)P B)5/3P C)T D)5/2T

A given quantity of an ideal monoatomic gas is at pressure P and absolute temperature T,then the adiabatic bulk modulus of gas is
A)P   B)5/3P  C)T  D)5/2T

Grade:12

1 Answers

Susmita
425 Points
2 years ago
The definition of adiabatic bulk modulus K is
K=V(dP/dV)
V=volume
P=pressure
So you have to find out dP/dV.
Use the relation PVgamma =constant.
Differentiate  with respect  to V.
(dP/dV)Vgamma + gamma.Vgamma-1P=0
From here 
dP/dV=-(P×gamma)/V
So K=-gamma×P=-5P/3

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