Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
5th Edition
ISBN: 9781133422013
Author: Raymond A. Serway; John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 49P
(a)
To determine
The volume change for the adiabatic process.
(b)
To determine
The factor by which temperature will change.
(c)
To determine
The value of
(d)
To determine
The value of
(e)
To determine
The value of
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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 17 Solutions
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
Ch. 17.2 - Prob. 17.1QQCh. 17.3 - Prob. 17.2QQCh. 17.3 - Prob. 17.3QQCh. 17.5 - Prob. 17.4QQCh. 17.6 - Characterize the paths in Figure 17.10 as...Ch. 17.7 - (i) How does the internal energy of an ideal gas...Ch. 17.10 - Prob. 17.7QQCh. 17 - Prob. 1OQCh. 17 - A 100-g piece of copper, initially at 95.0C, is...Ch. 17 - Prob. 3OQ
Ch. 17 - Prob. 4OQCh. 17 - Prob. 5OQCh. 17 - Prob. 6OQCh. 17 - Prob. 7OQCh. 17 - Prob. 8OQCh. 17 - Prob. 9OQCh. 17 - Prob. 10OQCh. 17 - Star A has twice the radius and twice the absolute...Ch. 17 - If a gas is compressed isothermally, which of the...Ch. 17 - When a gas undergoes an adiabatic expansion, which...Ch. 17 - Ethyl alcohol has about one-half the specific heat...Ch. 17 - Prob. 15OQCh. 17 - Prob. 1CQCh. 17 - Prob. 2CQCh. 17 - Pioneers stored fruits and vegetables in...Ch. 17 - Why is a person able to remove a piece of dry...Ch. 17 - Prob. 5CQCh. 17 - Prob. 6CQCh. 17 - It is the morning of a day that will become hot....Ch. 17 - You need to pick up a very hot cooking pot in your...Ch. 17 - Rub the palm of your hand on a metal surface for...Ch. 17 - Prob. 10CQCh. 17 - Prob. 11CQCh. 17 - Prob. 12CQCh. 17 - On his honeymoon, James Joule traveled from...Ch. 17 - Consider Joules apparatus described in Figure...Ch. 17 - Prob. 3PCh. 17 - Prob. 4PCh. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Prob. 14PCh. 17 - In an insulated vessel, 250 g of ice at 0C is...Ch. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - A 1.00-kg block of copper at 20.0C is dropped into...Ch. 17 - A resting adult of average size converts chemical...Ch. 17 - Prob. 21PCh. 17 - Prob. 22PCh. 17 - An ideal gas is enclosed in a cylinder with a...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - A sample of an ideal gas goes through the process...Ch. 17 - A thermodynamic system undergoes a process in...Ch. 17 - A gas is taken through the cyclic process...Ch. 17 - Consider the cyclic process depicted in Figure...Ch. 17 - Why is the following situation impossible? An...Ch. 17 - An ideal gas initially at 300 K undergoes an...Ch. 17 - In Figure P17.32, the change in internal energy of...Ch. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - Prob. 37PCh. 17 - One mole of an ideal gas does 3 000 J of work on...Ch. 17 - A 1.00-mol sample of hydrogen gas is heated at...Ch. 17 - A sample of a diatomic ideal gas has pressure P...Ch. 17 - Prob. 41PCh. 17 - Prob. 42PCh. 17 - Prob. 43PCh. 17 - Review. This problem is a continuation of Problem...Ch. 17 - Prob. 45PCh. 17 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 17 - Prob. 47PCh. 17 - An ideal gas with specific heat ratio confined to...Ch. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Air (a diatomic ideal gas) at 27.0C and...Ch. 17 - Prob. 54PCh. 17 - Prob. 55PCh. 17 - Prob. 56PCh. 17 - Prob. 57PCh. 17 - Prob. 58PCh. 17 - Prob. 59PCh. 17 - Prob. 60PCh. 17 - Prob. 61PCh. 17 - Prob. 62PCh. 17 - The surface of the Sun has a temperature of about...Ch. 17 - Prob. 64PCh. 17 - At high noon, the Sun delivers 1 000 W to each...Ch. 17 - A theoretical atmospheric lapse rate. Section 16.7...Ch. 17 - Prob. 67PCh. 17 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 17 - An aluminum rod 0.500 m in length and with a...Ch. 17 - Prob. 70PCh. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Prob. 73PCh. 17 - Prob. 74PCh. 17 - Prob. 75PCh. 17 - Prob. 76PCh. 17 - Prob. 77PCh. 17 - Prob. 78PCh. 17 - Prob. 79PCh. 17 - Prob. 81PCh. 17 - Prob. 82PCh. 17 - Prob. 84PCh. 17 - Prob. 85PCh. 17 - Prob. 86PCh. 17 - Prob. 87PCh. 17 - Prob. 88PCh. 17 - Water in an electric teakettle is boiling. The...
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