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Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 21, Problem 28P
(a)
To determine
The expression for change in entropy of the hot reservoir.
(b)
To determine
The expression of change in entropy of the cold reservoir.
(c)
To determine
The expression for change in entropy of the universe.
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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 21 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 21.1 - The energy input to an engine is 4.00 times...Ch. 21.2 - The energy entering an electric heater by...Ch. 21.4 - Three engines operate between reservoirs separated...Ch. 21.6 - (a) Suppose you select four cards at random from a...Ch. 21.7 - An ideal gas is taken from an initial temperature...Ch. 21.7 - True or False: The entropy change in an adiabatic...Ch. 21 - A particular heat engine has a mechanical power...Ch. 21 - The work done by an engine equals one-fourth the...Ch. 21 - Suppose a heat engine is connected to two energy...Ch. 21 - During each cycle, a refrigerator ejects 625 kJ of...
Ch. 21 - A freezer has a coefficient of performance of...Ch. 21 - Prob. 6PCh. 21 - One of the most efficient heat engines ever built...Ch. 21 - Prob. 8PCh. 21 - If a 35.0% -efficient Carnot heat engine (Fig....Ch. 21 - Prob. 10PCh. 21 - Prob. 11PCh. 21 - A power plant operates at a 32.0% efficiency...Ch. 21 - You are working on a summer job at a company that...Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Suppose you build a two-engine device with the...Ch. 21 - A heat pump used for heating shown in Figure...Ch. 21 - Prob. 18PCh. 21 - An idealized diesel engine operates in a cycle...Ch. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 21 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 21 - A 2.00-L container has a center partition that...Ch. 21 - Calculate the change in entropy of 250 g of water...Ch. 21 - What change in entropy occurs when a 27.9-g ice...Ch. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30APCh. 21 - Prob. 31APCh. 21 - In 1993, the U.S. government instituted a...Ch. 21 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 21 - Prob. 34APCh. 21 - Prob. 35APCh. 21 - Prob. 36APCh. 21 - A 1.00-mol sample of an ideal monatomic gas is...Ch. 21 - Prob. 38APCh. 21 - A heat engine operates between two reservoirs at...Ch. 21 - You are working as an assistant to a physics...Ch. 21 - Prob. 41APCh. 21 - You are working as an expert witness for an...Ch. 21 - Prob. 43APCh. 21 - Prob. 44APCh. 21 - A sample of an ideal gas expands isothermally,...Ch. 21 - Prob. 46APCh. 21 - The compression ratio of an Otto cycle as shown in...
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- ■ Review | Constants A cylinder with a movable piston contains 3.75 mol of N2 gas (assumed to behave like an ideal gas). Part A The N2 is heated at constant volume until 1553 J of heat have been added. Calculate the change in temperature. ΜΕ ΑΣΦ AT = Submit Request Answer Part B ? K Suppose the same amount of heat is added to the N2, but this time the gas is allowed to expand while remaining at constant pressure. Calculate the temperature change. AT = Π ΑΣΦ Submit Request Answer Provide Feedback ? K Nextarrow_forward4. I've assembled the following assortment of point charges (-4 μC, +6 μC, and +3 μC) into a rectangle, bringing them together from an initial situation where they were all an infinite distance away from each other. Find the electric potential at point "A" (marked by the X) and tell me how much work it would require to bring a +10.0 μC charge to point A if it started an infinite distance away (assume that the other three charges remains fixed). 300 mm -4 UC "A" 0.400 mm +6 UC +3 UC 5. It's Friday night, and you've got big party plans. What will you do? Why, make a capacitor, of course! You use aluminum foil as the plates, and since a standard roll of aluminum foil is 30.5 cm wide you make the plates of your capacitor each 30.5 cm by 30.5 cm. You separate the plates with regular paper, which has a thickness of 0.125 mm and a dielectric constant of 3.7. What is the capacitance of your capacitor? If you connect it to a 12 V battery, how much charge is stored on either plate? =arrow_forwardLearning 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 T = constant. 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…arrow_forward
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