# Carnot cycle processes of Carnot engine

The Carnot cycle represents the cycle of processes for a theoretical heat engine with the maximum possible efficiency. Such an idealized engine is called a Carnot engine. Here in this post, we present a brief idea of the Carnot cycle processes, Carnot engine efficiency, and also we solve here a numerical problem related to the Carnot engine.

## Carnot Cycle processes

The Carnot cycle represents the cycle of processes for a theoretical heat engine called a Carnot engine. This engine ideally is with the maximum possible efficiency.

Carnot cycle consists of an ideal gas undergoing the following processes: (refer to figure 1 for A, B, C, and D nodes of the Carnot cycle)

• Isothermal expansion (A →B)
• Isothermal compression (C →D)

The area of ABCD provides the work done by the gas during the Carnot cycle.

## Efficiency of Carnot engine

The temperatures of the hot and cold reservoirs fix the maximum possible efficiency that can be achieved.

The efficiency of a Carnot engine can be shown to be: ec= 1 – TC/TH, (Here, T in Kelvin)

% efficiency of a Carnot engine: %ec= [1 – TC/TH] x 100%

## Numerical problem related to Carnot engine and Carnot cycle

Q ) An engine operates at 300 °C and ejects heat to the surroundings at 20 °C. Find out the maximum possible theoretical efficiency.

Solution:

TC = 20 + 273 k = 293 K

TH = 300 + 273 k = 573 k

The maximum possible theoretical efficiency = ec= 1 – TC/TH = 1 – 293/573 = 0.49
Hence, %efficiency = 49%

## Related Posts about heat engine & Carnot Engine

Carnot engine FAQs

Carnot cycle processes of Carnot engine
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