23 - Question 17 - Carnot engine - Posted by Kambiz Ehsani - 5/5/2018 - Solved

Consider three carnot machines, where first one works between Th and Tl, second one works between Ti and Tc the third one between Th and Tc. Find the relationship between the efficiencies of the three carnot engines (Eff 1, Eff 2 and Eff 3):

Solution:
Efficiency of the Carnot machine is a function of  Tl/Th ;

Efficiency of the First machine = Eff 1 = Tl / Th
Efficiency of the First machine = Eff 2 = Tc / Tl
Efficiency of the First machine = Eff 3 = Tc / Th

Therefore :

Eff 3 = Eff 1 *  Eff 2