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Question

For an ideal gas the fractional change in its volume per degree rise in temperature at constant pressure is equal to
[ T is the absolute temperature of gas ]

A
T2
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B
T1
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C
T1
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D
T2
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Solution

The correct option is C T1
From the ideal gas equation,
PV=nRT .............(1)
Differentiating w.r.t T on both sides,
PdVdT=nR .............(2)
[ P,n and R are constant ]
On dividing (2) by (1),
PdVdTPV=nRnRT
dVVdT=1T=T1
Hence, fractional change in volume per unit rise in temperature is T1.

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