Correct Answer - Option 1 : 60%
Concept:
-
Carnot engine: A theoretical thermodynamic cycle proposed by Leonard Carnot. This engine gives the maximum possible efficiency that a heat engine can have during the conversion process of heat into work or vice-versa, working between two reservoirs.
- So practically and theoretically there can not be any engine with more efficiency than the Carnot engine.
The efficiency of the Carnot's Heat engine is given by:
\(η=1-\frac{T_c}{T_h}\)
where Th is the hot reservoir temperature and Tc is the cold reservoir temperature.
- The efficiency of this type of engine does not depend on the nature of the working substance and is only dependent on the temperature of the hot and cold reservoirs.
Calculation:
Given:
Th = 727°C = 1000 K and Tc = 127°C = 400 K
The efficiency of the Carnot's Heat engine is given by: C\
\(η=1-\frac{T_c}{T_h}\)
\(η=1-\frac{400}{1000}\)
η = 60 %