MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
4th Edition
ISBN: 9780135245033
Author: Knight
Publisher: PEARSON
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Chapter 18, Problem 22EAP
To determine
a)
A gas at 100°C fills volume. If the pressure is held constant, what is the volume if the Celsius temperature is doubled.
To determine
b)
A gas at 100°C fills volume. If the pressure is held constant, what is the volume if the Kelvin temperature is doubled?
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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…
■ Review | Constants
A cylinder with a movable piston contains 3.75 mol
of N2 gas (assumed to behave like an ideal gas).
Part A
The N2 is heated at constant volume until 1553 J of heat have been added. Calculate the change in
temperature.
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Suppose the same amount of heat is added to the N2, but this time the gas is allowed to expand while
remaining at constant pressure. Calculate the temperature change.
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Chapter 18 Solutions
MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
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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