A box of negligible mass containing 2 moles of an ideal gas of molar mass M and adiabatic exponent Y - Physics - Kinetic Theory

Question

A box of negligible mass containing 2 moles of an ideal gas of
molar mass M and adiabatic exponent Y moves with constant speed v
on a smooth horizontal surface If box suddenly stops then change in
temperature of gas will be

Aman Raaz · Answer

(y-1)Mv^2/2
total kinetic energy will be equal to change in internal energy

nRDeltaT /y-1 =1/2 into 2M v^2
put the value of n=2 here and get ans

A box of negligible mass containing 2 moles of an ideal gas of molar mass M and adiabatic exponent Y moves with constant speed v on a smooth horizontal surface. If box suddenly stops then change in temperature of gas will be