Essential Cosmic Perspective
9th Edition
ISBN: 9780135795033
Author: Bennett
Publisher: PEARSON
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Chapter 8, Problem 14EAP
Saturn’s core is pockmarked with impact craters and dotted with volcanoes erupting lava.
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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 8 Solutions
Essential Cosmic Perspective
Ch. 8 - Prob. 1VSCCh. 8 - Prob. 2VSCCh. 8 - Prob. 3VSCCh. 8 - Prob. 4VSCCh. 8 - Prob. 1EAPCh. 8 - Prob. 2EAPCh. 8 - Prob. 3EAPCh. 8 - Prob. 4EAPCh. 8 - Prob. 5EAPCh. 8 - Prob. 6EAP
Ch. 8 - Prob. 7EAPCh. 8 - Describe key features of Jupiter's four Galilean...Ch. 8 - Prob. 9EAPCh. 8 - Why do we think Triton is a captu red moon? How...Ch. 8 - Briefly explain why icy moons can have active...Ch. 8 - What ar e planetary rings made of, and how do they...Ch. 8 - Prob. 13EAPCh. 8 - Saturn’s core is pockmarked with impact craters...Ch. 8 - Neptune's deep bllle color is not due to methane,...Ch. 8 - A jovian planet in another star system has a moon...Ch. 8 - A planet orbiting another star is made primarily...Ch. 8 - A previously unknown moon orbits Jupiter outside...Ch. 8 - Prob. 19EAPCh. 8 - An icy, medium-size moon orbits a jovian planet in...Ch. 8 - A jovian planet is discovered in a star system...Ch. 8 - Future observations discover rainfall of liquid...Ch. 8 - During a future mission to Uranus, scient ists...Ch. 8 - Which lists the jovian planets in order of...Ch. 8 - Why does Neptune appear blue and Jupiter red? (a)...Ch. 8 - Prob. 26EAPCh. 8 - Prob. 27EAPCh. 8 - 28. The main ingredients of most moons of the...Ch. 8 - Prob. 29EAPCh. 8 - Prob. 30EAPCh. 8 - Whid1 moon shows evidence of rainfall and erosion...Ch. 8 - Prob. 32EAPCh. 8 - Prob. 33EAPCh. 8 - 34. Europan Ocean. Scientists strong ly suspect...Ch. 8 - Breaking the Rules. As discussed in Chapter 7, the...Ch. 8 - Jovian Planet Mission. We can study terrestrial...Ch. 8 - Jovian Moon Mission. Suppose you could choose any...Ch. 8 - Unanswered Question. Choose one unans wered...Ch. 8 - The Importance of Rotation. Suppose the material...Ch. 8 - Comparing Jovian Planets. You can do comparative...Ch. 8 - Prob. 43EAPCh. 8 - Prob. 44EAPCh. 8 - Prob. 45EAPCh. 8 - Disappearing Moon. lo loses about a ton (1000...Ch. 8 - 44. Ring Particle Collisions. Each ring particle...Ch. 8 - Prometheus and Pandora. These two moons orbit...Ch. 8 - Prob. 49EAPCh. 8 - Titanic Titan. What is the ratio of Titan's mass...Ch. 8 - Saturn’s Thin Rings. Saturn's riing system is over...
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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
- A-e pleasearrow_forwardTwo moles of carbon monoxide (CO) start at a pressure of 1.4 atm and a volume of 35 liters. The gas is then compressed adiabatically to 1/3 this volume. Assume that the gas may be treated as ideal. Part A What is the change in the internal energy of the gas? Express your answer using two significant figures. ΕΠΙ ΑΣΦ AU = Submit Request Answer Part B Does the internal energy increase or decrease? internal energy increases internal energy decreases Submit Request Answer Part C ? J Does the temperature of the gas increase or decrease during this process? temperature of the gas increases temperature of the gas decreases Submit Request Answerarrow_forwardYour answer is partially correct. Two small objects, A and B, are fixed in place and separated by 2.98 cm in a vacuum. Object A has a charge of +0.776 μC, and object B has a charge of -0.776 μC. How many electrons must be removed from A and put onto B to make the electrostatic force that acts on each object an attractive force whose magnitude is 12.4 N? e (mea is the es a co le E o ussian Number Tevtheel ed Media ! Units No units → answe Tr2Earrow_forward
- 4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forward4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forwardplease solve and answer the question correctly. Thank you!!arrow_forward
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