Essential University Physics: Volume 1; Mastering Physics with Pearson eText -- ValuePack Access Card -- for Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134197319
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 17, Problem 21E
(a) If 2.0 mol of an ideal gas are initially at temperature 250 K and pressure 1.5 atm. what’s the gas volume? (b) The pressure is now increased to 4.0 atm, and the gas volume drops to half its initial value. What’s the new temperature?
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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
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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
Essential University Physics: Volume 1; Mastering Physics with Pearson eText -- ValuePack Access Card -- for Essential University Physics (3rd Edition)
Ch. 17.1 - If you double the kelvin temperature of a gas,...Ch. 17.2 - You bring a pot of water to boil and then forget...Ch. 17.3 - The figure shows a donut-shaped object. If its...Ch. 17 - Prob. 1FTDCh. 17 - According to the ideal-gas law, what should be the...Ch. 17 - Why are you supposed to check tire pressure when...Ch. 17 - The average speed of the molecules in a gas...Ch. 17 - Suppose you start running while holding a closed...Ch. 17 - Prob. 6FTDCh. 17 - Your roommate claims that ice and snow must be at...
Ch. 17 - Whats the temperature of water just under the ice...Ch. 17 - Ice and water have been together in a glass for a...Ch. 17 - Which takes more heat: melting a gram of ice...Ch. 17 - The atmospheres of relatively low-mass planets...Ch. 17 - The triple point of water defines a precise...Ch. 17 - How is it possible to have boiling water at a...Ch. 17 - How does a pressure cooker work?Ch. 17 - Suppose mercury and glass had the same coefficient...Ch. 17 - A bimetallic strip consists of thin pieces of...Ch. 17 - Marss atmospheric pressure is about 1% that of...Ch. 17 - Prob. 18ECh. 17 - Whats the pressure of an ideal gas if 3.5 mol...Ch. 17 - Prob. 20ECh. 17 - (a) If 2.0 mol of an ideal gas are initially at...Ch. 17 - A pressure of 1010 Pa is readily achievable with...Ch. 17 - Whats the thermal speed of hydrogen molecules at...Ch. 17 - In which gas are the molecules moving faster:...Ch. 17 - How much energy does it take to melt a 65-g ice...Ch. 17 - It takes 200 J to melt an 8.0-g sample of one of...Ch. 17 - If it takes 840 kJ to vaporize a sample of liquid...Ch. 17 - Carbon dioxide sublimes (changes from solid to...Ch. 17 - Find the energy needed to convert 28 kg of liquid...Ch. 17 - A copper wire is 20 m long on a winter day when...Ch. 17 - You have exactly 1 L of ethyl alcohol at room...Ch. 17 - A Pyrex glass marble is 1.00000 cm in diameter at...Ch. 17 - At 0C, the hole in a steel washer is 9.52 mm in...Ch. 17 - Suppose a single piece of welded steel railroad...Ch. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - A compressed air cylinder stands 100 cm tall and...Ch. 17 - Youre a lawyer with an unusual case. A...Ch. 17 - A 3000-mL flask is initially open in a room...Ch. 17 - The recommended treatment for frostbite is rapid...Ch. 17 - A stove burner supplies heat to a pan at the rate...Ch. 17 - If a 1-megaton nuclear bomb were exploded deep in...Ch. 17 - Youre winter camping and are melting snow for...Ch. 17 - Prob. 44PCh. 17 - A refrigerator extracts energy from its contents...Ch. 17 - Climatologists have recently recognized that black...Ch. 17 - Repeat Example 17.4 with an initial ice mass of 50...Ch. 17 - How much energy does it take to melt 10 kg of ice...Ch. 17 - Water is brought to its boiling point and then...Ch. 17 - Prob. 50PCh. 17 - Whats the minimum amount of ice in Example 17.4...Ch. 17 - A bowl contains 16 kg of punch (essentially water)...Ch. 17 - A 50-g ice cube at 10C is placed in an equal mass...Ch. 17 - Prob. 54PCh. 17 - What power is needed to melt 20 kg of ice in 6.0...Ch. 17 - You put 300 g of water at 20C into a 500-W...Ch. 17 - If 4.5 105 kg of emergency cooling water at 10C...Ch. 17 - Describe the composition and temperature of the...Ch. 17 - A glass marble 1.000 cm in diameter is to be...Ch. 17 - Prob. 60PCh. 17 - A steel ball bearing is encased in a Pyrex glass...Ch. 17 - Fuel systems of modern cars are designed so...Ch. 17 - A rod of length L0 is clamped rigidly at both...Ch. 17 - Prob. 64PCh. 17 - A solar-heated house stores energy in 5.0 tons of...Ch. 17 - Show that the coefficient of volume expansion of...Ch. 17 - Waters coefficient of volume expansion in the...Ch. 17 - When the expansion coefficient varies with...Ch. 17 - Ignoring air resistance, find the height from...Ch. 17 - The timekeeping of a grandfather clock is...Ch. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Figure 17.12 shows an apparatus used to determine...Ch. 17 - Prob. 74PCh. 17 - (a) Show that, for an ideal gas, the speed of...Ch. 17 - The Maxwell-Boltzmann distribution, plotted in...Ch. 17 - At high gas densities, the van der Waals equation...Ch. 17 - Prob. 78PPCh. 17 - Prob. 79PPCh. 17 - Because some pathogens can survive 120C...Ch. 17 - Prob. 81PP
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