Question

A Carnot engine uses the expansion and compression of n moles of
argon gas, for which C_{V}=(3/2)R. This engine operates
between temperatures T_{C} and T_{H}. During the
isothermal expansion a→b, the volume of the gas increases from
V_{a} to V_{b}=2V_{a}.

a)Calculate the work done during the isothermal expansion a→b.
Express your answer in terms of the variables n, T_{H}, and
gas constant R.

b)Calculate the work W_{bc} done during the adiabatic
expansion b→c. Express your answer in terms of the variables n,
T_{C}, T_{H}, and gas constant R.

c)For this engine, W_{ab}=W_{bc}. Find the ratio
T_{C}/T_{H}.

d)Find the efficiency of the engine.

Answer #1

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