Q.

An engine takes in 5 moles of air at 20ºC and 1atm, and compresses it adiabatically to 1/10th  of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be X kJ. The value of X to the nearest integer is________

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answer is 0046.00.

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Detailed Solution

Tin=10°C=10+273=293KPVγ=constant,γ=75⇒TVγ-1=cont ⇒TV75-1=cont⇒TV7-55=cont ⇒TV25=cont⇒TfinV102/5=TinV2/5⇒Tfin=293102/5∵Tin=10°C=10+273=293KΔU=nRΔTγ−1=5R2/5×293102/5−1=25R2102/5−1×293=25R22.511−1×293=12.5R(1.511)×293=46 kJ
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An engine takes in 5 moles of air at 20ºC and 1atm, and compresses it adiabatically to 1/10th  of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be X kJ. The value of X to the nearest integer is________