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Q. 57

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

# FIGURE P shows the cycle for a heat engine that uses a gas having .The initial temperature is , and this engine operates at cycles per second.a. What is the power output of the engine?b. What is the engine's thermal efficiency?

a. The power output of the engine is .

b. The engines thermal efficiency is .

See the step by step solution

## Step 1: Explanation (part a)

Using the ideal gas equation, calculate the number of moles in the gas. Find the temperatures and pressures at each stage of the cycle later.

Now, knowing all of the parameters at point one in the cycle, the formula for the number of moles of gas is,

n = P1V1 / RT

Where,

P1 = pressure at point one,

V1 = volume at point one,

R = universal gas constant,

T = absolute temperature of the gas at point 1 .

Substitute P1 = 1 atm , V1 = 600 cm3 , R = 8.31 J/mol.K and T = 300 K