An insulated box containing a monoatomic gas of molar mass (M) moving with a speed `v_0` is suddenly stopped. Find the increment is gas temperature as a result of stopping the box.

Answer

`(M V_0^2)/(3R)`

Explanation

Decrease in kinetic energy = increase in internal energy of the gas
`:." "1/2 mV_0^2= nC_V Delta T = (m/M) (3/2 R)Delta T " ":." "Delta T = (m V_0^2)/(3R)`