best describes the two statements. Statement-1 : An inventor claims to have constructed an engine that has an efficiency of \( 30 \% \) when operated between the boiling and freezing points of water. This is not possible. Statement-2 : The efficiency of a real engine is always less than the efficiency of a carnot engine operating between the same two temperatures. [AIEEE On line-2012]

Question

 describes the two statements.

 Statement-1 : An inventor claims to have constructed an engine that has an efficiency of 30 % when operated between the boiling and freezing points of water. This is not possible.

 Statement-2 : The efficiency of a real engine is always less than the efficiency of a carnot engine operating between the same two temperatures. [AIEEE On line-2012]

Answer 1

Answer: Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1

According to Carnot's theorem - no heat engine working between two given temperatures of source and sink can be more efficient than a perfectly reversible engine i.e. Carnot engine working between the same two temperatures.

Efficiency of Carnot's engine, n=1−T₂/T₁
where, T₁ = temperature of source
T₂ = temperature of sink