An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Textbook Question
Chapter 12, Problem 32SA
State the short general principle of solubility, and explain what it means.
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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 12 Solutions
An Introduction to Physical Science
Ch. 12.1 - Prob. 1PQCh. 12.1 - Prob. 2PQCh. 12.1 - Prob. 12.1CECh. 12.2 - Prob. 1PQCh. 12.2 - Prob. 2PQCh. 12.2 - Find the formula mass of hydrogen sulfide, H2S,...Ch. 12.2 - Prob. 12.3CECh. 12.3 - Prob. 1PQCh. 12.3 - Prob. 2PQCh. 12.4 - Prob. 1PQ
Ch. 12.4 - Prob. 2PQCh. 12.4 - Prob. 12.4CECh. 12.4 - Prob. 12.5CECh. 12.5 - Prob. 1PQCh. 12.5 - Prob. 2PQCh. 12.5 - Prob. 12.6CECh. 12.6 - Is PCl3 ionic or covalent in bonding? What about...Ch. 12.6 - Prob. 12.8CECh. 12.6 - Boron trifluoride, BF3, is an exception to the...Ch. 12.6 - Prob. 1PQCh. 12.6 - Prob. 2PQCh. 12 - Prob. AMCh. 12 - Prob. BMCh. 12 - Prob. CMCh. 12 - Prob. DMCh. 12 - Prob. EMCh. 12 - Prob. FMCh. 12 - Prob. GMCh. 12 - Prob. HMCh. 12 - Prob. IMCh. 12 - Prob. JMCh. 12 - Prob. KMCh. 12 - Prob. LMCh. 12 - Prob. MMCh. 12 - Prob. NMCh. 12 - Prob. OMCh. 12 - Prob. PMCh. 12 - Prob. QMCh. 12 - Prob. RMCh. 12 - Prob. SMCh. 12 - Prob. 1MCCh. 12 - Prob. 2MCCh. 12 - Prob. 3MCCh. 12 - Prob. 4MCCh. 12 - Prob. 5MCCh. 12 - Prob. 6MCCh. 12 - Prob. 7MCCh. 12 - Prob. 8MCCh. 12 - Prob. 9MCCh. 12 - Prob. 10MCCh. 12 - Sodium reacts with a certain element to form a...Ch. 12 - Prob. 12MCCh. 12 - Prob. 13MCCh. 12 - Carbon is a Group 4A element. How many covalent...Ch. 12 - How many shared pairs of electrons are in an...Ch. 12 - Prob. 16MCCh. 12 - Prob. 17MCCh. 12 - Prob. 18MCCh. 12 - Prob. 1FIBCh. 12 - Prob. 2FIBCh. 12 - Prob. 3FIBCh. 12 - Prob. 4FIBCh. 12 - Prob. 5FIBCh. 12 - Prob. 6FIBCh. 12 - Prob. 7FIBCh. 12 - The formula of an ionic compound of a Group 1A...Ch. 12 - Prob. 9FIBCh. 12 - Prob. 10FIBCh. 12 - Prob. 11FIBCh. 12 - Prob. 12FIBCh. 12 - Prob. 1SACh. 12 - Prob. 2SACh. 12 - Prob. 3SACh. 12 - Prob. 4SACh. 12 - Prob. 5SACh. 12 - Prob. 6SACh. 12 - Prob. 7SACh. 12 - Prob. 8SACh. 12 - Prob. 9SACh. 12 - Prob. 10SACh. 12 - Prob. 11SACh. 12 - Prob. 12SACh. 12 - Prob. 13SACh. 12 - Prob. 14SACh. 12 - Prob. 15SACh. 12 - Prob. 16SACh. 12 - Prob. 17SACh. 12 - Prob. 18SACh. 12 - Prob. 19SACh. 12 - Prob. 20SACh. 12 - Prob. 21SACh. 12 - Prob. 22SACh. 12 - Prob. 23SACh. 12 - Prob. 24SACh. 12 - Prob. 25SACh. 12 - A covalent bond in which the electron pair is...Ch. 12 - Could a molecule composed of two atoms joined by a...Ch. 12 - Explain how a polyatomic ion such as carbonate...Ch. 12 - Prob. 29SACh. 12 - Prob. 30SACh. 12 - Prob. 31SACh. 12 - State the short general principle of solubility,...Ch. 12 - Prob. 33SACh. 12 - Prob. 1VCCh. 12 - You decide to have hot dogs for dinner. In the...Ch. 12 - Why cant we destroy bothersome pollutants by just...Ch. 12 - Prob. 3AYKCh. 12 - When you use a bottle of vinegar-and-oil salad...Ch. 12 - Prob. 5AYKCh. 12 - Prob. 6AYKCh. 12 - Prob. 1ECh. 12 - An antacid tablet weighing 0.942 g contained...Ch. 12 - Calculate (to the nearest 0.1 u) the formula mass...Ch. 12 - Calculate (to the nearest 0.1 u) the formula mass...Ch. 12 - Find the percentage by mass of Cl in MgCl2 if it...Ch. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - Prob. 11ECh. 12 - Prob. 12ECh. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Write the Lewis symbols and structures that show...Ch. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Referring only to a periodic table, give the...Ch. 12 - Referring only to a periodic table, give the...Ch. 12 - Prob. 23ECh. 12 - Draw the Lewis structure for formaldehyde, H2CO, a...Ch. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - Prob. 28ECh. 12 - Use arrows to show the polarity of each bond in...Ch. 12 - Use arrows to show the polarity of each bond in...Ch. 12 - Prob. 31ECh. 12 - Prob. 32E
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