Question

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats γ. It is moving with speed u and its suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by

(a) (γ - 1)Mv²K/2γR

(b) γMv²K/2R

(c) (γ - 1)Mv²K/2R

(d) (γ - 1)Mv²K/2(γ + 1)R

Answer 1

Correct Option (c) (γ - 1)Mv²K/2R

Explanation:

As no heat is lost,

Loss of kinetic energy = Gain of internal energy of gas