A light container having a diatomic gas enclosed within is moving with velocity `V`. Mass of the gas is `M` and number of moles is `n`.
(i) What is the kinetic energy of gas w.r.t. centre of mass of the system?
(ii) What is `K.E.` of gas w.r.t. ground?

Explanation

(i) `K.E. = (5)/(2) nRT " "{:("mass of gas" = M),("temperature "T):}rarr V`
(ii) Kinetic energy of gas w.r.t ground = Kinetic energy of gas w.r.t. centre of mass + Kinetic energy of centre of mass w.r.t ground.
`K.E. = (1)/(2)MV^(2) +(5)/(2) nRT`