Calculate the efficiency of a cycle consisting of isothermal, isobaric, and isochoric line, if in the isothermal process the volume of the ideal gas with the adiabatic exponent `gamma`.
(a) increased `n-fold` ,
(b) decreases `n-fold`.

Explanation

(a) `Q'_2 = C_p T_0 (1 -(1)/(n)), Q''_1 = RT_0 1n n, Q'_1 = C_V T_0 (1 - (1)/(n)), Q_1= Q'_1 + Q''_1`
So `eta = 1 -(Q'_2)/(Q_1) = 1- (C_p(1 - (1)/(n)))/(C_V(1 -(1)/(n))+R 1n n)`
=`1 - (gamma)/(1+ (R)/(C_V) (n 1n n)/(n -1)) =1- (gamma(n - 1))/(n - 1 + (gamma - 1)n 1n n)`
(b) `Q_1 = C_p T_0 (n-1), Q''_2 = C_V T_0(n-1) Q'''_2 = RT_0 1n n, Q'_2 = Q''_2 + Q'''_2`
So `eta = 1- (Q'_2)/(Q_1) = 1- (n -1+(gamma - 1) 1n n)/(gamma (n -1))`.