An insulated container containing monoatomic gas of molar mass m is moving with a velocity vo. If the container is suddenly stopped, find the change in temperature.

When, the container stops, its total kinetic energy is transferred to gas molecules in the form of translational kinetic energy, thereby increasing theabsolute temperature.Assuming n = number of molesGiven, m = molar mass of the gas.If ∆T = change in absolute temperatureThen, kinetic energy of molecules due to velocity vo,∆Kmotion = 12(mn)v02-----------------(i)Increase in translational kinetic energy∆Ktranslation = n32R(∆T)------------(ii)According to kinetic theory Eqs. (i) and (ii) are equal⇒ 12(mn)v02 = n32R(∆T)(mn)v02 = n3R(∆T)⇒∆T = (mn)v023nR = mv023R