A thermally insulated vessel containing a gas whose molar mass is equal to 40 and ratio of specific heats is 1.5, moves with a velocity 100 m/s. Find the gas temperature increment (in °C) resulting fr

Question

A thermally insulated vessel containing a gas whose molar mass is equal to 40 and ratio of specific heats is 1.5, moves with a velocity 100 m/s. Find the gas temperature increment (in °C) resulting from the sudden stoppage of the vessel.

TestHub · Accepted Answer

The kinetic energy per mole, 1/2Mv 2 = 1/2(0.040)(100) 2 = 200 J/mol, becomes internal energy. C v = R/(γ - 1) = 2R = 16.63 J/K-mol. Δ T = 200/16.63 = 12.0°C. Matches (a).

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