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Five moles of hydrogen initially at STP is compressed adiabatically so that its temperature becomes 673K. The increase in internal energy of the gas, in kilo joule is (R=8.3J/molK, `gamma`=1.4 for diatomic gas)

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Work done by an ideal gas in adiabatic expansion
`dU=n(R)/(gamma-1)dT=5((8.3)/(1.4-1))(300)=41500J`
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