An engine takes in 5 moles of air at 20   ° C and 1   atm , and compresses it adiabatically…

An engine takes in 5 moles of air at 20 °C and 1 atm, 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 XkJ. The value of X to the nearest integer is: 

Solution

T1V1γ-1=T2V2γ-1

T2=T1V1V2γ-1

=T1(10)75-1

T2=T1(10)2/5

ΔV=52nR;52×5×3102/5-1(293)

6256×1.5×293=461440

46ks

Asked in: JEE Main 2020 (02 Sep Shift 1)

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