Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 18, Problem 10CQ
A gas undergoes the process shown in FIGURE Q18.10. By what factor does the temperature change?
FIGURE Q18.10
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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
Submit
Request Answer
Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
Submit
Request Answer
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 18 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - Prob. 7CQCh. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - A gas undergoes the process shown in FIGURE...
Ch. 18 - Prob. 11CQCh. 18 - Prob. 12CQCh. 18 - Prob. 1EAPCh. 18 - Prob. 2EAPCh. 18 - What is the diameter of a copper sphere that has...Ch. 18 - Prob. 4EAPCh. 18 - Prob. 5EAPCh. 18 - How many atoms are in a 2.0 cm × 2.0 cm × 2.0 cm...Ch. 18 - Prob. 7EAPCh. 18 - An element in its solid phase has mass density...Ch. 18 - .0 mol of gold is shaped into a sphere. What is...Ch. 18 - What volume of aluminum has the same number of...Ch. 18 - Prob. 11EAPCh. 18 - Prob. 12EAPCh. 18 - Prob. 13EAPCh. 18 - A concrete bridge is built of 325-cm-long concrete...Ch. 18 - A surveyor has a steel measuring tape that is...Ch. 18 - Two students each build a piece of scientific...Ch. 18 - Prob. 17EAPCh. 18 -
18. What is the temperature in °F and the...Ch. 18 - Prob. 19EAPCh. 18 - .0 mol of gas at a temperature of -120°C fills a...Ch. 18 - Prob. 21EAPCh. 18 - Prob. 22EAPCh. 18 - Prob. 23EAPCh. 18 - Prob. 24EAPCh. 18 - Prob. 25EAPCh. 18 - Prob. 26EAPCh. 18 - Prob. 27EAPCh. 18 - Prob. 28EAPCh. 18 - A rigid, hollow sphere is submerged in boiling...Ch. 18 -
30. A rigid container holds hydrogen gas at a...Ch. 18 - Prob. 31EAPCh. 18 - Prob. 32EAPCh. 18 - Prob. 33EAPCh. 18 - Prob. 34EAPCh. 18 - Prob. 35EAPCh. 18 - Prob. 36EAPCh. 18 - Prob. 37EAPCh. 18 - .0050 mol of gas undergoes the process 1 2 3...Ch. 18 - Prob. 39EAPCh. 18 - Prob. 40EAPCh. 18 - Prob. 41EAPCh. 18 - Prob. 42EAPCh. 18 - Prob. 43EAPCh. 18 - A 15°C, 2.0-cm-diameter aluminum bar just barely...Ch. 18 - Prob. 45EAPCh. 18 - Prob. 46EAPCh. 18 - Prob. 47EAPCh. 18 - Prob. 48EAPCh. 18 - Prob. 49EAPCh. 18 - The 3.0-m-long pipe in FIGURE P18.50 is closed at...Ch. 18 - Prob. 51EAPCh. 18 - An electric generating plant boils water to...Ch. 18 - Prob. 53EAPCh. 18 - The air temperature and pressure in a laboratory...Ch. 18 - Prob. 55EAPCh. 18 - The mercury manometer shown in FIGURE P18.56 is...Ch. 18 - Prob. 57EAPCh. 18 - The 50 kg circular piston shown in FIGURE P18.58...Ch. 18 - Prob. 59EAPCh. 18 - .0 g of helium gas follows the process 1? 2 ?3...Ch. 18 - Prob. 61EAPCh. 18 - 62. FIGURE P18.62 shows two different processes...Ch. 18 - Prob. 63EAPCh. 18 - Prob. 64EAPCh. 18 - Prob. 65EAPCh. 18 - Prob. 66EAPCh. 18 - Prob. 67EAPCh. 18 - Prob. 68EAPCh. 18 - Prob. 69EAPCh. 18 - Prob. 70EAPCh. 18 - Prob. 71EAPCh. 18 - The cylinder in FIGURE CP18.72 has a moveable...Ch. 18 - Containers A and B in FIGURE CP18.73 hold the same...Ch. 18 - Prob. 74EAP
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