Sears And Zemansky's University Physics With Modern Physics
13th Edition
ISBN: 9780321897961
Author: YOUNG, Hugh D./
Publisher: Pearson College Div
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Chapter 20, Problem 44E
As a budding mechanical engineer, you are called upon to design a Carnot engine that has 2.00 mol of a monatomic ideal gas as its working substance and operates from a high- temperature reservoir at 500°C. The engine is to lift a 15.0-kg weight 2.00 m per cycle, using 500 J of heat input. The gas in the engine chamber can have a minimum volume of 5.00 L during the cycle, (a) Draw a pV-diagram for this cycle. Show in your diagram where heat enters and leaves the gas. (b) What must be the temperature of the cold reservoir? (c) What is the thermal efficiency of the engine? (d) How much heat energy does this engine waste per cycle? (e) What is the maximum pressure that the gas chamber will have to withstand?
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The figure (Figure 1) shows representations of six
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■Review | Constants
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Part A
m
2πkT
) 3/2
Calculate the integral (v) = f vƒ (v)dv. The function f(v) describing the actual distribution of molecular speeds is called the Maxwell-Boltzmann distribution,
=
ƒ(v) = 4π (· v²e-mv²/2kT
. (Hint: Make the change of variable v² =x and use the tabulated integral foxne
integer and a is a positive constant.)
Express your answer in terms of the variables T, m, and appropriate constants.
-ax dx
n!
-
an+1
where n is a positive
(v)
=
ΕΠΙ ΑΣΦ
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Chapter 20 Solutions
Sears And Zemansky's University Physics With Modern Physics
Ch. 20 - Prob. 1DQCh. 20 - Prob. 2DQCh. 20 - Prob. 3DQCh. 20 - Prob. 4DQCh. 20 - Prob. 5DQCh. 20 - Prob. 6DQCh. 20 - Prob. 7DQCh. 20 - Prob. 8DQCh. 20 - Prob. 9DQCh. 20 - Prob. 10DQ
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