The efficiency of carnot engine depends on

Options

A. temperature of sink only
B. temperature of source and sink
C. volume of cylinder of engine
D. temperature of source

Answer

To solve the question regarding the efficiency of a Carnot engine, we can follow these steps:

### Step 1: Understand the Carnot Engine
A Carnot engine is an idealized heat engine that operates between two temperature reservoirs. The efficiency of a Carnot engine is determined by the temperatures of these reservoirs.

### Step 2: Write the Formula for Efficiency
The efficiency (η) of a Carnot engine is given by the formula:
\[ η = 1 - \frac{T_{\text{sink}}}{T_{\text{source}}} \]
where:
- \(T_{\text{source}}\) is the absolute temperature of the hot reservoir (source).
- \(T_{\text{sink}}\) is the absolute temperature of the cold reservoir (sink).

### Step 3: Analyze the Formula
From the formula, we can see that:
- The efficiency depends on the temperatures of the source and sink.
- It does not depend on the working substance or any other factors.

### Step 4: Conclusion
Thus, we conclude that the efficiency of a Carnot engine depends solely on the temperatures of the source and sink.

### Final Answer
The efficiency of a Carnot engine depends on the temperatures of the hot and cold reservoirs.

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