The efficiency of Carnot engine which operates between the two temperatures $T_1 = 500$ K and $T_2 = 300$ K is

Question

A Carnot engine operates between temperatures of $ 600 \, \text{K} $ and $ 300 \, \text{K} $. If it absorbs $ 900 \, \text{J} $ of heat from the source, how much work does it perform?

Answer 1

Step 1: Approach
Use work divided by heat taken in.

Step 2: Per 500 units of heat
For a reversible engine $\dfrac{Q_2}{Q_1}=\dfrac{T_2}{T_1}=\dfrac35$. So of every 5 units of heat taken in, 3 are rejected and 2 become work.

Step 3: Efficiency
$\dfrac25=40\%$. Option (D).

Final Answer:
The efficiency is 1 - 300/500 = 40 percent, option (D). \[ \boxed{40\%} \]

The efficiency of Carnot engine which operates between the two temperatures \(T_1 = 500\) K and \(T_2 = 300\) K is

Show Hint

The Correct Option is D

Solution and Explanation

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