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Question

An ideal gas is expanding such that PT= constant. The coefficient of volume expansion of the gas is :

A
1T
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B
2T
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C
3T
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D
4T
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Solution

The correct option is B 2T
Given, PT = constant
Using the ideal gas equation PV=nRT, we can say that
nRTV×T= constant
T2V=k(say)
Differentiating both sides w.r.t T, we get
2TVT2V2dVdT=0
Coefficient of volume expansion is given by
α=dVVdT
α=dVVdT=2TVVT2=2T
Thus, option (b) is the correct answer.

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