JEE Main2011PhysicsKinetic Theory of GasesActual
A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats . It is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by :
Options
- A( -1) 2 R Mv ^2 ~K
- BM v^2 2 R K
- C( -1) 2 R Mv ^2 ~K
- D( -1) 2( +1) R Mv ^2 ~K
Correct answer
C. ( -1) 2 R Mv ^2 ~K
Step-by-step solution
W = U 1 2 mv ^2= nC _ v dT = m M R -1 dT dT = M ( -1) v ^2 2 R K