Thermodynamics, Statistical Physics, and Quantum Mechanics

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So

and

Since the time during which the current flows through the wire is the
same inbothexperiments, the amount of heattransferred to the gas isalso
the same: Equating (S.4.30.4) and (S.4.30.8), weobtain

4.31 Otto Cycle (Stony Brook)

a) The efficiency of thecycle is whereWis the work done by
the cycle and is theamount of heatabsorbed by thegas. Because the
working medium returnsto its initialstate where is the
amount of heattransferred from the gas, therefore

Let us calculate and Sincebothprocesses are atconstant volume
(seeFigureS.4.31), we maywrite

THERMODYNAMICS AND STATISTICAL PHYSICS