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A thermally insulated vessel contains an...

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:

A

`((gamma -1))/(1(gamma + 1)R) Mv^2`

B

`((gamma - 1))/(2 gamma) mv^2`

C

`(gamma M v^2)/(2R)`

D

`((gamma - 1))/(2R)mv^2`

Text Solution

Verified by Experts

The correct Answer is:
D
`(1)/(2)MV^2 = 1xx C_(v)triangleT`
`implies (1)/(2)MV^2= (R )/(gamma-1)*triangleT" "implies triangleT= (MV^2(gamma-1))/(2R)= ((gamma-1)MV^2)/(2R)`.
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