FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 1, Problem 34P
Two types of barrel units were in use in the 1920s in the United States. The apple barrel had a legally set volume of 7056 cubic inches; the cranberry barrel, 5826 cubic inches. If a merchant sells 20 cranberry barrels of goods to a customer who thinks he is receiving apple barrels, what is the discrepancy in the shipment volume in liters?
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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
Request Answer
Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
Submit
Request Answer
Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
Submit
Request Answer
?
?
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 1 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 1 - Prob. 1PCh. 1 - A gry is an old English measure for length,...Ch. 1 - The micrometer 1 m is often called the micron. a...Ch. 1 - Spacing in this book was generally done in units...Ch. 1 - SM WWW Horses are to race over a certain English...Ch. 1 - ILW Hydraulic engineers in the United States often...Ch. 1 - Until 1883, every city and town in the United...Ch. 1 - wor about 10 years after the French Revolution,...Ch. 1 - The fastest growing plant on record is a...Ch. 1 - A lecture period 50 mm is close to 1 microcentury....
Ch. 1 - A fortnight is a charming English measure of time...Ch. 1 - Prob. 16PCh. 1 - SSM Five clocks are being tested in a laboratory....Ch. 1 - Because Earths rotation is gradually slowing, the...Ch. 1 - Suppose that, while lying on a beach near the...Ch. 1 - GO The record for the largest glass bottle was set...Ch. 1 - Earth has mass of 5.98 1024 kg. The average mass...Ch. 1 - Gold, which has a density of 19.32 g/cm3, is the...Ch. 1 - Prob. 23PCh. 1 - GO Grains of fine California beach sand are...Ch. 1 - During heavy rain, a section of a mountainside...Ch. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - On a spending spree in Malaysia, you buy an ox...Ch. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - Prob. 32PCh. 1 - SSM A ton is a measure of volume frequently used...Ch. 1 - Two types of barrel units were in use in the 1920s...Ch. 1 - An old English childrens rhyme states, Little Miss...Ch. 1 - Prob. 36PCh. 1 - A typical sugar cube has an edge length of 1 cm....Ch. 1 - An old manuscript reveals that a landowner in the...Ch. 1 - SSM A tourist purchases a car in England and ships...Ch. 1 - Prob. 40PCh. 1 - SSM A cord is a volume of cut wood equal to a...Ch. 1 - One molecule of water H2O contains two atoms of...Ch. 1 - A person on a diet might lose 2.3 kg per week....Ch. 1 - What mass of water fell on the town in Problem 7?...Ch. 1 - a A unit of time sometimes used in microscopic...Ch. 1 - A unit of area often used in measuring land areas...Ch. 1 - SSM An astronomical unit AU is the average...Ch. 1 - Prob. 48PCh. 1 - A traditional unit of length in Japan is the ken 1...Ch. 1 - You receive orders to sail due east for 24.5 mi to...Ch. 1 - Prob. 51PCh. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Measures of a man. Leonardo da Vinci, renowned for...Ch. 1 - Dog years. Dog owners like to convert the age of a...Ch. 1 - Prob. 56PCh. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Class time, the long of it. For a common four-year...
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