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Question:

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

(γ-1)/2(γ+2)R/Mv²

(γ-1)/2γ R/Mv²

γMv²/2R

(γ-1)/2 R/Mv².

Solution:

W = ΔU
½Mv² = R/(γ-1)ΔT
ΔT = (γ-1)Mv²/2R