This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that 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.

Question

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that 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. (A) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1 (B) Statement 1 is true, Statement 2 is false (C) Statement 1 is false, Statement 2 is true (D) Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1

Tardigrade Admin · Accepted Answer

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 - \frac{T _{2}}{T _{1}}

where,

T_{1} =

temperature of source

T_{2} =

temperature of sink