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

Options

A. `(gammaMv^(2))/(2R)K`
B. `((gamma-1))/(2R)Mv^(2)K`
C. `((gamma-1))/(2(gamma+1)R)Mv^(2)K`
D. `((gamma-1))/(2gammaR)Mv^(2)K`

Answer

B

Explanation

`(1)/(2)Mv^(2)= (f)/(2) RDeltaT "and" gamma= 1 + (2)/(f) implies DeltaT = ((gamma-1))/(2R)Mv^(2)`