Find the efficiency of a cycle consisting of two isobaric and two isothermal lines if the pressure varies `n-fold` and the absolute temperature `tau-fold` within the cycle. The working substance is an ideal gas with the adiabatic exponent `gamma`.

Explanation

Here `Q_1'' = C_p T_0 (tau - 1), Q' 1'' = tau RT_0 1n n` and
`Q_2'' = C^p T_0 (tau -1), Q_2''' = RT_0 1n n`
in addition to we have
`Q_1 = Q_1' + Q_1''` and
`Q_2' = Q_2'' + Q_2'''`
So `eta = 1-(Q'_2)/(Q_1) = 1 - (C_p(tau - 1)+R 1n n)/(C_p (tau - 1)+ tau R 1n n)`
=`1 - (tau - 1+(1 -(1)/(gamma)) 1n n)/(tau - 1+ (1 -(1)/(gamma))tau 1n n)`
=`1-(tau -1 + (1 -(1)/(gamma))1n n)/(tau - 1+(1 - (1)/(gamma))tau 1n n) = ((tau - 1) 1n n)/(tau 1n n + (gamma(tau - 1))/(gamma - 1))`.
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