College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 15, Problem 14PE
Calculate the net work output of a
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A cylinder with a piston contains 0.153 mol of
nitrogen at a pressure of 1.83×105 Pa and a
temperature of 290 K. The nitrogen may be
treated as an ideal gas. The gas is first compressed
isobarically to half its original volume. It then
expands adiabatically back to its original volume,
and finally it is heated isochorically to its original
pressure.
Part A
Compute the temperature at the beginning of the adiabatic expansion.
Express your answer in kelvins.
ΕΠΙ ΑΣΦ
T₁ =
?
K
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Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
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Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
Submit
Request Answer
?
?
K
Pa
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
Τ
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
T
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Chapter 15 Solutions
College Physics
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Ch. 15 - We ordinarily say that U=0 for an isothermal...Ch. 15 - The temperature of a rapidly expanding gas...Ch. 15 - Which cyclical process represented by the two...Ch. 15 - A real process may be nearly adiabatic if it...Ch. 15 - It is unlikely that a process can be isothermal...Ch. 15 - Imagine you are driving a car up Pike’s Peak in...Ch. 15 - Is a temperature difference necessary to operate a...Ch. 15 - Definitions of efficiency vary depending on how...Ch. 15 - Whyother than the fact that the second law of...Ch. 15 - Think about the drinking bird at the beginning of...Ch. 15 - Can improved engineering and materials be employed...Ch. 15 - Does the second law of thermodynamics alter the...Ch. 15 - Explain why heat pumps do not work as well in very...Ch. 15 - In some Northern European nations, homes are being...Ch. 15 - Why do refrigerators, air conditioners, and heat...Ch. 15 - Grocery store managers contend that there is less...Ch. 15 - Can you cool a kitchen by leaving the refrigerator...Ch. 15 - 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(a) How long will the energy in a 1470kJ (350kcal)...Ch. 15 - (a) A woman climbing the Washington Monument...Ch. 15 - A car tire contains 0.0380m3 S of air at a...Ch. 15 - A heliumfilled toy balloon has a gauge pressure of...Ch. 15 - Steam to drive an old—fashioned steam locomotive...Ch. 15 - A hand—driven tire pump has a piston with a 2.50cm...Ch. 15 - Calculate the net work output of a heat engine...Ch. 15 - What is the net work output of a heat engine that...Ch. 15 - Unreasonable Results What is wrong with the claim...Ch. 15 - (a) A cyclical heat engine, operating between...Ch. 15 - Construct Your Own Problem Consider a car's...Ch. 15 - Construct Your Own Problem Consider a car trip...Ch. 15 - A certain heat engine does 10.0 kJ of work and...Ch. 15 - With 2.56106J of heat transfer into this engine, a...Ch. 15 - (a) What is the work output of a cyclical heat...Ch. 15 - (a) What is the eficiency of a cyclical heat...Ch. 15 - The engine of a large Ship does 2.00108J of work...Ch. 15 - (a) How much heat transfer occurs to the...Ch. 15 - Assume that the turbines at a coal—powered power...Ch. 15 - This problem compares the energy output and heat...Ch. 15 - A certain gasoline engine has an efficiency of...Ch. 15 - A gascooled nuclear reactor operates between hot...Ch. 15 - (a) What is the hot reservoir temperature of a...Ch. 15 - Steam locomotives have an efficiency of 17.0% and...Ch. 15 - Practical steam engines utilize 450C steam, which...Ch. 15 - A coalfired electrical power station has an...Ch. 15 - Would you be willing to financially back an...Ch. 15 - Unreasonable Results (a) Suppose you want to...Ch. 15 - Unreasonable Results Calculate the cold reservoir...Ch. 15 - What is the coefficient of performance of an ideal...Ch. 15 - Suppose you have an ideal refrigerator that cools...Ch. 15 - What is the best coefficient of performance...Ch. 15 - In a very mild winter climate, a heat pump has...Ch. 15 - (a) What is the best coefficient of performance...Ch. 15 - (a) What is the best coefficient of performance...Ch. 15 - Suppose you want to operate an ideal refrigerator...Ch. 15 - An ideal heat pump is being considered for use in...Ch. 15 - A 4ton air conditioner removes 5.60107J (48,000...Ch. 15 - Show that the coefficients of performance of...Ch. 15 - (a) On a winter day, a certain house loses...Ch. 15 - On a hot summer day, 4.00106J of heat transfer...Ch. 15 - A hot rock ejected from a volcano's lava fountain...Ch. 15 - When 1.60105J of heat transfer occurs into a meat...Ch. 15 - The Sun radiates energy at the rate of 3.801026W...Ch. 15 - (a) In reaching equilibrium, how much heat...Ch. 15 - What is the decrease in entropy of 25.0 g of water...Ch. 15 - Find the increase in entropy of 1.00 kg of liquid...Ch. 15 - A large electrical power station generates 1000 MW...Ch. 15 - (a) How much heat transfer occurs from 20.0 kg of...Ch. 15 - Using Table 15.4, verify the contention that if...Ch. 15 - What percent of the time will you get something in...Ch. 15 - (a) If tossing 100 coins, how many ways...Ch. 15 - (a) What is the change in entropy if you start...Ch. 15 - (a) What is the change in entropy if you start...Ch. 15 - (a) If you toss 10 coins, what percent of the time...Ch. 15 - (a) Construct a table showing the macro states and...Ch. 15 - In an air conditioner, 12.65 MJ of heat transfer...
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