# Explain in detail Carnot engine

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Explain in detail Carnot engine

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A carnot engine is a reversible heat engine operating between two temperatures,

The steps involved in a carnot cycle are explained as follows.

Step 1 :

Isothermal expansion of gas from state (P1, V1, T1) to state (P2, V2, T2) as shown in the figure.

Step 2 :

Adiabatic expansion of gas from (P2, V2, T1) to (P3, V3, T2)

Step 3 :

Isothermal compression of gas from (P3, V3, T2) to (P4, V4, T2)

Step 4 :

Adiabatic compression of gas from (P4, V4, T2) to (P1, V1, T1)

These steps constitute one carnot cycle.

The process is repeated thereafter.

The efficiency of carnot engine, $\eta$ is given by

$\eta = \frac{Q_1 - Q_2}{Q_1} = \frac{T_1 - T_2}{T_1}$