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Q. 17

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 595

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Short Answer

A heat engine uses a diatomic gas in a Brayton cycle. What is the engine's thermal efficiency if the gas volume is halved during the adiabatic compression?

The engine's thermal efficiency during adiabatic compression,

See the step by step solution

Step by Step Solution

Step: 1 Equating Adiabatic process equation:

Any thermal cycle's efficiency is expressed as

We know that for an adiabatic process

From the first law, we may express pressure in terms of temperature.

As a result, we have the following for an adiabatic process:

Step: 2 Equating:

Let us now calculate a temperature ratio based on the volume ratio:

We get that

Step: 3 Finding the value of Eficiency:

The Efficiency will be,

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