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Q. 56

Expert-verified
Found in: Page 597

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A heat engine using a diatomic gas follows the cycle shown in FIGURE P. Its temperature at point is .a. Determine , and for each of the three processes in this cycle. Display your results in a table.b. What is the thermal efficiency of this heat engine?c. What is the power output of the engine if it runs at ?

a. Table for the process is ,

b. The heat engine thermal efficiency is .

c. The power output of the engine is .

See the step by step solution

## Step 1: Calculation for heat,energy and work (part a)

a.

The area beneath the surface can be used to determine the work in the first procedure.

It is going to be

The pressure was tripled and the volume was quadrupled in this procedure. This translates to a twelve-fold increase in temperature.

As a result, the temperature differential is eleven times greater than before. The change in internal energy can be calculated as follows:

So,

Isochoric cooling is the second procedure, in which the pressure lowers by a third.

As a result, the temperature decreases by the same factor, resulting in an eight-fold change in temperature.

This means that the heat applied to the gas will be more intense.

The change in internal energy will be the same because the work in the isochoric process is zero.

## Step 2: Results in table part(a) solution

a.

In the third process we go isobarically from a temperature of four times is,

On the other hand, the work done on the other side can be represented by the rectangle under the graph. We can locate it right away.

The change in internal energy is ,

## Step 3: Calculation for thermal efficiency (part b)

b.

From the table,

The total heat input is .

The work done is .

The efficiency is,

## Step 4: Calculation for power output (part c)

c.

work is done.

Engine performs cycles per minute,.

Power is,