Question

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

Answer 1

(d) : Kinetic energy of vessel = 1/2mv²
Increase in internal energy
Δu = nC_VΔT
where n is the number of moles of the gas in vessel.
As the vessel is stopped suddenly, its kinetic energy is used to increase the temperature of the gas