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

Options

A. `((gamma-1) Mv^2)/(4R)`
B. `(gamma Mv^2)/(2R)`
C. `(Mv^2)/(2 (gamma -1 ) R)`
D. `((gamma -1) Mv^2)/(2R)`

Answer

D