Correct Answer - Option 2 : 66.67
Concept:
- Carnot engine is a theoretical engine that operates on an ideal theoretical cycle called the Carnot cycle
- The efficiency of a heat engine is defined as the ratio of work output divided by heat input and is given by
\(η = 1 - \frac{T_{2}}{T_{1}}\) or \(η = 1 - \frac{Q_{2}}{Q_{1}}\)
Where T2 =Temperature of the sink, T1= Temperature of the source, Q1 = Heat absorbed from the source, Q2= Heat rejected to the sink
Calculation:
Given:
Q1 = 1800 kJ and Q2 = 600 kJ
- The efficiency of the heat engine is given by
\(\Rightarrow η = 1 - \frac{Q_{2}}{Q_{1}}\)
Substituting the given values in the above equation
\(\Rightarrow η = 1 - \frac{6000}{1800}=1-\frac{1}{3}=\frac23=0.67\)