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One mole of an ideal monatomic gas undergoes the process P=αT1/2, where α is constant. If molar heat capacity of the gas is βR when R = gas constant, then the value of β is ___________

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answer is 2.

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Detailed Solution

P∝T1/2 and PV=nRT⇒PV−1= constant ∴C=CV+R1−(−1)=3R2+R2=2R

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