Question
Download Solution PDFThe efficiency of the Carnot cycle is defined as:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The Efficiency of the Carnot Cycle
The Carnot cycle is a theoretical thermodynamic cycle that defines the maximum possible efficiency that any heat engine can achieve operating between two temperatures. It serves as a benchmark for the performance of all real-world heat engines. The efficiency of the Carnot cycle is given by the ratio of the useful work done by the engine to the heat energy supplied to it. Mathematically, it is expressed as:
Efficiency (η): \(\rm \frac{Work\ done}{Heat\ supplied}\)
This relationship highlights that the efficiency is directly proportional to the work output of the engine and inversely proportional to the heat energy supplied during the process.
- Carnot cycle efficiency depends upon the absolute temperature range of operation.
\(η=1-\frac{T_L}{T_H}\)
\(\eta=\frac{T_H-T_L}{T_H}\)
where TH is the hot reservoir temperature and TL is the cold reservoir temperature.
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