College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 24P
If 5 g of liquid helium is converted into a gas at standard temperature and pressure, what is the length of the side of a cube that would contain the gas? (The density of liquid helium is 0.125 g/cm3.)
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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 =
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?
?
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 (10th Edition)
Ch. 15 - In the ideal-gas equation could you give the...Ch. 15 - True or false? Equal masses of two different gases...Ch. 15 - How does evaporation of perspiration from your...Ch. 15 - The ideal-gas law is sometimes written in the form...Ch. 15 - (a) If you double the absolute temperature of an...Ch. 15 - Chemical reaction rates slow down as the...Ch. 15 - True or false? When two ideal gases are mixed,...Ch. 15 - Is it possible for a gas to expand and lose energy...Ch. 15 - The gas inside a balloon will always have a...Ch. 15 - When a gas expands adiabatically, it does work on...
Ch. 15 - Since Cv is defined with specific reference to a...Ch. 15 - The ratio y found in Equations 15.22 and 15.23...Ch. 15 - Prob. 1MCPCh. 15 - Prob. 2MCPCh. 15 - Prob. 3MCPCh. 15 - Prob. 4MCPCh. 15 - Prob. 5MCPCh. 15 - Prob. 6MCPCh. 15 - Assume you have n moles of an ideal gas initially...Ch. 15 - The formula U = nCvT for the change in the...Ch. 15 - For the process shown in the pV diagram in Figure...Ch. 15 - Prob. 10MCPCh. 15 - The gas shown in Figure 15.29 is in a completely...Ch. 15 - Prob. 12MCPCh. 15 - A cylindrical tank has a tight-fitting piston that...Ch. 15 - Prob. 2PCh. 15 - A 3.00 L tank contains air at 3.00 atm and 20.0C....Ch. 15 - A 20.0 L tank contains 0.225 kg of helium at...Ch. 15 - A room with dimensions 7.00 m by 8.00 m by 2.50 m...Ch. 15 - Three moles of an ideal gas are in a rigid cubical...Ch. 15 - A large cylindrical tank contains 0.750 m3 of...Ch. 15 - A 1.0 L canister contains 0.2 mole of helium gas....Ch. 15 - The gas inside a balloon will always have a...Ch. 15 - Prob. 10PCh. 15 - A diver observes a bubble of air rising from the...Ch. 15 - At an altitude of 11,000 m (a typical cruising...Ch. 15 - If a certain amount of ideal gas occupies a volume...Ch. 15 - Calculate the volume of 1.00 mol of liquid water...Ch. 15 - What volume does 2 mol of hydrogen gas (H2) occupy...Ch. 15 - The atmosphere of the planet Mars is 95.3% carbon...Ch. 15 - Find the mass of a single sulfur (S) atom and an...Ch. 15 - Prob. 18PCh. 15 - In the air we breathe at 72F and 1.0 atm pressure,...Ch. 15 - We have two equal-size boxes. A and B. Each box...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - A container of helium gas is heated until the...Ch. 15 - If 5 g of liquid helium is converted into a gas at...Ch. 15 - At what temperature is the root-mean-square speed...Ch. 15 - Where is the hydrogen? The average temperature of...Ch. 15 - Prob. 27PCh. 15 - STP. The conditions of standard temperature and...Ch. 15 - Prob. 29PCh. 15 - (a) How much heat does it take to increase the...Ch. 15 - (a) If you supply 1850 J of heat to 2.25 moles of...Ch. 15 - Suppose 100 J of heat flows into a diatomic ideal...Ch. 15 - Perfectly rigid containers each hold n moles of...Ch. 15 - Assume that the gases in this problem can be...Ch. 15 - A metal cylinder with rigid walls contains 2.50...Ch. 15 - A gas under a constant pressure of 1.50 105 Pa...Ch. 15 - Two moles of an ideal gas are heated at constant...Ch. 15 - Three moles of an ideal monatomic gas expand at a...Ch. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - A gas in a cylinder expands from a volume of 0.110...Ch. 15 - A gas in a cylinder is held at a constant pressure...Ch. 15 - Five moles of an ideal monatomic gas with an...Ch. 15 - When a system is taken from state a to state b in...Ch. 15 - An ideal gas expands while the pressure is Kept...Ch. 15 - You are keeping 1.75 moles of an ideal gas in a...Ch. 15 - Prob. 47PCh. 15 - A cylinder with a movable piston contains 3.00 mol...Ch. 15 - Figure 15.32 show a pV diagram for an ideal gas in...Ch. 15 - Figure 15.33 shows a pV diagram for an ideal gas...Ch. 15 - The pV diagram in Figure 15.34 shows a process abc...Ch. 15 - A volume of air (assumed to be an ideal gas) is...Ch. 15 - In the process illustrated by the pV diagram in...Ch. 15 - A cylinder contains 0.250 mol of carbon dioxide...Ch. 15 - Heating air in the lungs. Human lung capacity...Ch. 15 - The graph in Figure 15.37 shows a pV diagram for...Ch. 15 - An ideal gas at 4.00 atm and 350 K is permitted to...Ch. 15 - An experimenter adds 970 J of heat to 1.75 mol of...Ch. 15 - Heat Q flows into a monatomic ideal gas, and the...Ch. 15 - A player bounces a basketball on the floor,...Ch. 15 - In the pV diagram shown in Figure 15.38, 85.0 J of...Ch. 15 - Modern vacuum pumps make it easy to attain...Ch. 15 - Prob. 63GPCh. 15 - The effect of altitude on the lungs. (a) Calculate...Ch. 15 - (a) Calculate the mass of nitrogen present in a...Ch. 15 - An automobile tire has a volume of 0.0150 m3 on a...Ch. 15 - A student in a physics lab course has the task of...Ch. 15 - Prob. 68GPCh. 15 - Atmosphere of Titan. Titan, the largest satellite...Ch. 15 - Helium gas expands slowly to twice its original...Ch. 15 - A cylinder with a piston contains 0.250 mol of...Ch. 15 - You blow up a spherical balloon to a diameter of...Ch. 15 - A bicyclist uses a tire pump whose cylinder is...Ch. 15 - The bends. If deep-sea divers rise to the surface...Ch. 15 - 75. Figure 15.39 shows a pV diagram for 0.0040...Ch. 15 - Figure 15.40 Problem 76. The graph in Figure 15.40...Ch. 15 - A flask with a volume of 1.50 L, provided with a...Ch. 15 - Initially at a temperature of 80.0C, 0.28 m3 of...Ch. 15 - In a cylinder, 4.00 mol of helium initially at...Ch. 15 - Starting with 2.50 mol of N2 gas (assumed to be...Ch. 15 - Insulating windows. One way to improve insulation...Ch. 15 - Estimate the ratio of the thermal conductivity of...Ch. 15 - The rate of effusionthat is, the leakage of a gas...Ch. 15 - Prob. 84PPCh. 15 - In another test, the gas is put into a cylinder...Ch. 15 - You have a cylinder that contains 500 L of the gas...Ch. 15 - In a hospital, pure oxygen may be delivered at 50...
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