Answer:
The efficiency is define as the ratio between the work performed and the heat input at the higher temperature
Step-by-step explanation:
The efficiency of the heat engine work done using working substance at higher temperature relates to the wasted energy released to the environment through the derived formula below:
Qin = quantity of heat from a working substance such steam or water used to drive electric generator at higher temperature for example
Qout = quantity of heat remaining in the working substance after the work has been done
Qin = Wout + Qout where Wout is the significant work that the higher temperature working substance has been used to do
Wout = Qin - Qout
efficiency = Wout / Qin = ( Qin - Qout) / Qin = Qin / Qin - Qout / Qin = 1 - (Qout / Qin) and
Carnot theorem relates the efficiency with the formula below:
eff( max) = 1 - ( Tc/Th) where Tc is the temperature of the cold reservoir where the working substance is poured and Th is the temperature of the working substance before it input into the thermal engine.