Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
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ISBN: 9780134564234
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 19, Problem 49EAP
.0 mol of gas are at 30°C and a pressure of 1.5 atm. How much work must done on the gas to compress it to one third of its initial volume at (a) constant temperature and (b) constant pressure? (c) Show both processes on a single pV diagram.
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A cylinder with a piston contains 0.153 mol of
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treated as an ideal gas. The gas is first compressed
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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 19 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
Ch. 19 - Prob. 1CQCh. 19 - Do (a) temperature, (b) heat, and (c) thermal...Ch. 19 - Prob. 3CQCh. 19 - You need to raise the temperature of a gas by...Ch. 19 - Prob. 5CQCh. 19 - Prob. 6CQCh. 19 - FIGURE Q19.7 shows two different processes taking...Ch. 19 - FIGURE Q19.8 shows two different processes taking...Ch. 19 - The gas cylinder in FIGURE Q19.9 is a rigid...Ch. 19 - The gas cylinder in FIGURE Q19.10 is well...
Ch. 19 - The gas cylinder in FIGURE Q19.11 is well...Ch. 19 - How much work is done on the gas in the process...Ch. 19 - Prob. 2EAPCh. 19 - Prob. 3EAPCh. 19 - A 2000 cm3 container holds 0.10 mol of helium gas...Ch. 19 - Prob. 5EAPCh. 19 - Prob. 6EAPCh. 19 - Draw a first-law bar chart (see Figure 19.12) for...Ch. 19 - Draw a first-law bar chart (see Figure 19.12) for...Ch. 19 - 9. Draw a first-law bar chart (see Figure 19.12)...Ch. 19 - Prob. 10EAPCh. 19 - J of work are done on a system in a process that...Ch. 19 - How much heat energy must be added to a...Ch. 19 - Prob. 13EAPCh. 19 - Prob. 14EAPCh. 19 - Prob. 15EAPCh. 19 - Prob. 16EAPCh. 19 - One way you keep from overheating is by...Ch. 19 - Prob. 18EAPCh. 19 - Two cars collide head-on while each is traveling...Ch. 19 - An experiment measures the temperature of a 500 g...Ch. 19 - 30 g of copper pellets are removed from a 300°C...Ch. 19 - A 750 g aluminum pan is removed from the stove and...Ch. 19 - A 50.0 g thermometer is used to measure the...Ch. 19 - A 500 g metal sphere is heated to 300°C, then...Ch. 19 - A 65 cm3 block of iron is removed from an 800°C...Ch. 19 - Prob. 26EAPCh. 19 - A container holds 1.0 g of oxygen at a pressure of...Ch. 19 - The volume of a gas is halved during an adiabatic...Ch. 19 - Prob. 29EAPCh. 19 - Prob. 30EAPCh. 19 - Prob. 31EAPCh. 19 - Prob. 32EAPCh. 19 - Prob. 33EAPCh. 19 - Prob. 34EAPCh. 19 - Prob. 35EAPCh. 19 - What maximum power can be radiated by a...Ch. 19 - Radiation from the head is a major source of heat...Ch. 19 - Prob. 38EAPCh. 19 - Prob. 39EAPCh. 19 - Prob. 40EAPCh. 19 - Prob. 41EAPCh. 19 - Prob. 42EAPCh. 19 - Prob. 43EAPCh. 19 - The specific heat of most solids is nearly...Ch. 19 - Prob. 45EAPCh. 19 - Prob. 46EAPCh. 19 - Prob. 47EAPCh. 19 - Prob. 48EAPCh. 19 - .0 mol of gas are at 30°C and a pressure of 1.5...Ch. 19 - A 6.0-cm-diameter cylinder of nitrogen gas has a...Ch. 19 - Prob. 51EAPCh. 19 - An ideal-gas process is described by p = cV 1/2 ,...Ch. 19 - Prob. 53EAPCh. 19 - Prob. 54EAPCh. 19 - Prob. 55EAPCh. 19 - Prob. 56EAPCh. 19 - Prob. 57EAPCh. 19 - .10 mol of nitrogen gas follow the two processes...Ch. 19 - Prob. 59EAPCh. 19 - Prob. 60EAPCh. 19 - Prob. 61EAPCh. 19 - Prob. 62EAPCh. 19 - Prob. 63EAPCh. 19 - Prob. 64EAPCh. 19 - Prob. 65EAPCh. 19 - Prob. 66EAPCh. 19 - Prob. 67EAPCh. 19 - Prob. 68EAPCh. 19 - Prob. 69EAPCh. 19 - A cylindrical copper rod and an iron rod with...Ch. 19 - Prob. 71EAPCh. 19 - Prob. 72EAPCh. 19 - Prob. 73EAPCh. 19 - Prob. 74EAPCh. 19 - Prob. 75EAPCh. 19 - Prob. 76EAPCh. 19 - Prob. 77EAPCh. 19 - Prob. 78EAPCh. 19 - Prob. 79EAPCh. 19 - Prob. 80EAPCh. 19 - Prob. 81EAPCh. 19 - Prob. 82EAP
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