A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats `gamma`. It is moving with speed v and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, Its temperature increases by:

Explanation

From energy conservation
`U_l + (1)/(2)(v M)v^2 = U_f`
or, `Delta U = (1)/(2) v M v^2`…(1)
But from `U = v(RT)/(gamma - 1), Delta U = (v R)/(gamma - 1) Delta T` (from the previous problem)….(2)
Hence from Eqs. (1) and (2).
`Delta T = (Mv^2(gamma - 1))/(2 R)`.