MHT CET202411 May 2024Morning ShiftPhysicsKinetic Theory of GasesActual
An insulated container contains a diatomic gas of molar mass ' m '. The container is moving with velocity ' V ', if it is stopped suddenly, the change in temperature is ( R = gas constant)
Options
- Am V^2 3 R
- BmV ^2 5 R
- CmV 7 R
- D5 m V 3 R
Correct answer
B. mV ^2 5 R
Step-by-step solution
Kinetic energy of gas =n ( 1 2 m V^2 ) The change in internal energy when the box is stopped suddenly is, U = nC _ v ~T For diatomic gas, C _ v = 5 2 R As the energy is conserved, U = K . E . So, from above equations, array ll & n 5 2 R T=n ( 1 2 mV ^2 ) & T = mV ^2 5 R array