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Chapter 21: Q. 57 (page 597)

FIGURE P21.57shows the cycle for a heat engine that uses a gas having 纬=1.25.The initial temperature isT1=300K, and this engine operates at20cycles per second.

a. What is the power output of the engine?

b. What is the engine's thermal efficiency?

Short Answer

Expert verified

a. The power output of the engine is .

b. The engines thermal efficiency is .

Step by step solution

01

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 KT1

n=(1atm)600cm3(8.31J/mol路K)(300K)

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