EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Textbook Question
Chapter 19, Problem 58P
(I) A 1.00-mol sample of an ideal diatomic gas, originally at 1.00 atm and 20°C, expands adiabatically to 1.75 times its initial volume. What are the final pressure and temperature for the gas? (Assume no molecular vibration.)
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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 =
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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 19 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 19.2 - Return to the Chapter-Opening Question, page 496,...Ch. 19.5 - Prob. 1BECh. 19.5 - Prob. 1CECh. 19.5 - How much more ice at 10C would be needed in...Ch. 19.6 - What would be the internal energy change in...Ch. 19.7 - Is the work done by the gas in process ADB of Fig....Ch. 19.7 - In Example 1910, if the heat lost from the gas in...Ch. 19.10 - Prob. 1HECh. 19.10 - Fanning yourself on a hot day cools you by (a)...Ch. 19 - What happens to the work done on a jar of orange...
Ch. 19 - Prob. 2QCh. 19 - Prob. 3QCh. 19 - Prob. 4QCh. 19 - Prob. 5QCh. 19 - Why does water in a canteen stay cooler if the...Ch. 19 - Explain why burns caused by steam at 100C on the...Ch. 19 - Prob. 8QCh. 19 - Will potatoes cook faster if the water is boiling...Ch. 19 - Prob. 10QCh. 19 - Use the conservation of energy to explain why the...Ch. 19 - Explorers on failed Arctic expeditions have...Ch. 19 - Why is wet sand at the beach cooler to walk on...Ch. 19 - When hot-air furnaces are used to heat a house,...Ch. 19 - Prob. 15QCh. 19 - An ideal monatomic gas is allowed to expand slowly...Ch. 19 - Ceiling fans are sometimes reversible, so that...Ch. 19 - Goose down sleeping bags and parkas are often...Ch. 19 - Microprocessor chips nowadays have a heat sink...Ch. 19 - Sea breezes are often encountered on sunny days at...Ch. 19 - The Earth cools off at night much more quickly...Ch. 19 - Explain why air-temperature readings are always...Ch. 19 - A premature baby in an incubator can be...Ch. 19 - A 22C day is warm, while a swimming pool at 22C...Ch. 19 - Prob. 25QCh. 19 - Prob. 26QCh. 19 - Prob. 27QCh. 19 - Prob. 28QCh. 19 - Prob. 29QCh. 19 - Prob. 30QCh. 19 - Prob. 31QCh. 19 - Prob. 32QCh. 19 - An emergency blanket is a thin shiny...Ch. 19 - Explain why cities situated by the ocean tend to...Ch. 19 - Prob. 1MCQCh. 19 - Prob. 2MCQCh. 19 - Prob. 3MCQCh. 19 - Prob. 4MCQCh. 19 - Prob. 5MCQCh. 19 - Prob. 6MCQCh. 19 - Prob. 7MCQCh. 19 - Prob. 8MCQCh. 19 - Prob. 9MCQCh. 19 - Prob. 10MCQCh. 19 - Prob. 11MCQCh. 19 - Prob. 12MCQCh. 19 - Prob. 13MCQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - (II) A British thermal unit (Btu) is a unit of...Ch. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - (I) An automobile cooling system holds 18 L of...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - (II) When a 290-g piece of iron at 180C is placed...Ch. 19 - Prob. 13PCh. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - (II) The heat capacity. C, of an object is defined...Ch. 19 - (II) The 1.20-kg head of a hammer has a speed of...Ch. 19 - Prob. 18PCh. 19 - Prob. 19PCh. 19 - Prob. 20PCh. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - (II) High-altitude mountain climbers do not eat...Ch. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - (II) Consider the following two-step process. Heat...Ch. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - (III) Determine the work done by 1.00 mol of a van...Ch. 19 - Prob. 46PCh. 19 - (III) In the process of taking a gas from state a...Ch. 19 - (III) Suppose a gas is taken clockwise around the...Ch. 19 - Prob. 49PCh. 19 - Prob. 50PCh. 19 - Prob. 51PCh. 19 - Prob. 52PCh. 19 - What gas is it? (II) Show that the work done by n...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - (I) A 1.00-mol sample of an ideal diatomic gas,...Ch. 19 - (II) Show, using Eqs. 196 and 1915, that the work...Ch. 19 - (III) A 3.65-mol sample of an ideal diatomic gas...Ch. 19 - Prob. 61PCh. 19 - (III) A 1.00-mol sample of an ideal monatomic gas,...Ch. 19 - (III) Consider a parcel of air moving to a...Ch. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Prob. 66PCh. 19 - Prob. 67PCh. 19 - Prob. 68PCh. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - (III) A cylindrical pipe has inner radius R1 and...Ch. 19 - Prob. 73PCh. 19 - Prob. 74GPCh. 19 - Prob. 75GPCh. 19 - Prob. 76GPCh. 19 - Prob. 77GPCh. 19 - Prob. 78GPCh. 19 - Prob. 79GPCh. 19 - Prob. 80GPCh. 19 - Prob. 81GPCh. 19 - Prob. 82GPCh. 19 - Prob. 83GPCh. 19 - Prob. 84GPCh. 19 - Prob. 85GPCh. 19 - Prob. 86GPCh. 19 - Prob. 87GPCh. 19 - The temperature of the glass surface of a 75-W...Ch. 19 - Prob. 90GPCh. 19 - A scuba diver releases a 3.60-cm-diameter...Ch. 19 - Suppose 3.0 mol of neon (an ideal monatomic gas)...Ch. 19 - Prob. 93GPCh. 19 - A diesel engine accomplishes ignition without a...Ch. 19 - Prob. 95GPCh. 19 - Prob. 96GPCh. 19 - Prob. 97GPCh. 19 - Prob. 98GPCh. 19 - Prob. 99GPCh. 19 - Prob. 100GPCh. 19 - Prob. 101GPCh. 19 - Prob. 102GPCh. 19 - Prob. 103GPCh. 19 - Prob. 104GP
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