An insulated container containing monoatomic gas of molar mass s is moving with a velocity `v_0`. If the container is suddenly stopped, find the change in temperature.

Answer

B, C

Explanation

When container is stopped, velocity decrease by `v_0.`
`Therefore change in kinetic energy=1/2(nm)v_0^2…..(i)`
Here n=number of moles of gas present in the container.
The kinetic energy at a given temperature for a monatomic
gas is `=3/2xxnRT`
`:. Change in kinetic energy =3/2xxnR(DeltaT).....(ii)`
where `DeltaT=Change in temperature`
From (i) and (ii) `3/2nR(DeltaT)=1/2(nm)v_0^2 :. DeltaT=(mv_0^2)/(3R)`