1.

Which of the graphs shown in fig. correctly represents the variation of beta =- (d_(v)// d_(p))//V with P for an ideal gas at constant temperature:

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Solution :Since `PV=nRT`
At constant temperature PV =constant
`THEREFORE` Differentiating both side
`PDV +vdP =0`
`(DV)/(dP) =-(V)/(P)`
`rArr -((1)/(V) (dV)/(dP))=(1)/(P)`
or `beta =(1)/(P)`
THUS, `beta` decrease as P INCREASES
Hence, the correct choice is (a).


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