A mass M = 15 g of nitrogen is enclosed in a vessel at temperature T = 300 K. What amount of heat has to be transferred to the gas to increase the root-mean-square velocity of molecules 2 times ?

Explanation

Here `C_V = (5)/(2) (m)/(M) R(1 = 5 here)`
`m` = mass of the gas, `M` = molecular weight, If `v_(rms)` increases `eta` times, the temperature will have increased `eta^2` times. This will require (neglecting expansion of the vessel) a heat flow of amount
`(5)/(2)(m)/(M) R(eta^2 - 1) T = 10 k J`.