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Question

One mole of an ideal monatomic gas at temperature T0 expands solely according to the law PV = constant. If the final temperature is 2T0 , heat supplied to the gas is:

A
2RT0
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B
RT0
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C
32RT0
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D
12RT0
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Solution

The correct option is A 2RT0
In a process PVx=constant, molar heat capacity is given by C=Rγ+1+R1x

As the process is PV= constant,

i.e., PV1=constant, therefore, x=1.

For an ideal monatomic gas, γ=53

C=R531+R1(1)=32R+R2=2R

ΔQ=nC(ΔT)=1(2R)(2T0T0)=2RT0


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