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Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 7, Problem 25E
Again using Appendix F, which planets might you expect to have extreme seasons? Why
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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 7 Solutions
Astronomy
Ch. 7 - Venus rotates backward and Uranus and Pluto spin...Ch. 7 - What is the difference between a differentiated...Ch. 7 - What does a planet need in order to retain an...Ch. 7 - Which type of planets have the most moons? Where...Ch. 7 - What is the difference between a meteor and a...Ch. 7 - Explain our ideas about why the terrestrial...Ch. 7 - Do all planetary systems look the same as our own?Ch. 7 - What is comparative planetology and why is it...Ch. 7 - What changed in our understanding of the Moon and...Ch. 7 - If Earth was to be hit by an extraterrestrial...
Ch. 7 - List some reasons that the study of the planets...Ch. 7 - Imagine you are a travel agent in the next...Ch. 7 - What characteristics do the worlds in our solar...Ch. 7 - How do terrestrial and giant planets differ? List...Ch. 7 - Why are there so many craters on the Moon and so...Ch. 7 - How do asteroids and comets differ?Ch. 7 - How and why is Earth’s Moon different from the...Ch. 7 - Where would you look for some “original”...Ch. 7 - Describe how we use radioactive elements and their...Ch. 7 - What was the solar nebula like? Why did the Sun...Ch. 7 - What can we learn about the formation of our solar...Ch. 7 - Earlier in this chapter, we modeled the solar...Ch. 7 - Seasons are a result of the inclination of a...Ch. 7 - Again using Appendix F, which planet(s) might you...Ch. 7 - Again using Appendix F, which planets might you...Ch. 7 - Using some of the astronomical resources in your...Ch. 7 - Explain why the planet Venus is differentiated,...Ch. 7 - Would you expect as many impact craters per unit...Ch. 7 - Using Appendix G, complete the following table...Ch. 7 - Calculate the density of Jupiter. Show your work....Ch. 7 - Calculate the density of Saturn. Show your work....Ch. 7 - What is the density of Jupiter’s moon Europa (see...Ch. 7 - Look at Appendix F and Appendix G and indicate the...Ch. 7 - Barnard’s Star, the second closest star to us, is...Ch. 7 - A radioactive nucleus has a half-life of 5108...
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