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

Options

A. 80.5
B. 21.55
C. 41.5
D. 65.55

Answer

C

Explanation

Change in internal energ during adiabatic expansion
`dU = (nR(T_(1)-T_(2)))/(gamma-1)`
`dU = (5xx8.3xx(673-273))/(1.4-1)`
`dU = 41500 J or 41.5 KJ`