Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 20, Problem 45EAP
Equation 20.3 is the mean free path of a particle through a gas of identical particles of equal radius. An electron can be thought of as a point particle with zero radius.
a. Find an expression for the mean free path of an electron through a gas.
b. Electrons travel 3 km through the Stanford Linear Accelerator. In order for scattering losses to be negligible, the pressure inside the accelerator tube must be reduced to the point where the mean free path is at least 50 km. What is the maximum possible pressure inside the accelerator tube, assuming T = 20°C? Give your answer in both Pa and atm.
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A cylinder with a piston contains 0.153 mol of
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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
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and finally it is heated isochorically to its original
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Part A
Compute the temperature at the beginning of the adiabatic expansion.
Express your answer in kelvins.
ΕΠΙ ΑΣΦ
T₁ =
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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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?
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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 20 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 20 - Prob. 1CQCh. 20 - Prob. 2CQCh. 20 - Prob. 3CQCh. 20 - Prob. 4CQCh. 20 - Prob. 5CQCh. 20 - Prob. 6CQCh. 20 - Prob. 7CQCh. 20 - Prob. 8CQCh. 20 - Prob. 9CQCh. 20 - Prob. 1EAP
Ch. 20 - Prob. 2EAPCh. 20 - Prob. 3EAPCh. 20 - Prob. 4EAPCh. 20 - Prob. 5EAPCh. 20 - Prob. 6EAPCh. 20 - Prob. 7EAPCh. 20 - Prob. 8EAPCh. 20 - Prob. 9EAPCh. 20 - Prob. 10EAPCh. 20 - Prob. 11EAPCh. 20 - Prob. 12EAPCh. 20 - Prob. 13EAPCh. 20 - Prob. 14EAPCh. 20 - Prob. 15EAPCh. 20 - Prob. 16EAPCh. 20 - Prob. 17EAPCh. 20 - Prob. 18EAPCh. 20 - Prob. 19EAPCh. 20 - Prob. 20EAPCh. 20 - Prob. 21EAPCh. 20 - Prob. 22EAPCh. 20 - Prob. 23EAPCh. 20 - Prob. 24EAPCh. 20 - Prob. 25EAPCh. 20 - A 10 g sample of neon gas has 1700 J of thermal...Ch. 20 - Prob. 27EAPCh. 20 - A 6.0 m × 8.0 m × 3.0 m room contains air at 20°C....Ch. 20 - Prob. 29EAPCh. 20 - Prob. 30EAPCh. 20 - .0 mol of a monatomic gas interacts thermally with...Ch. 20 - Prob. 32EAPCh. 20 - A rigid container holds 0.20 g of hydrogen gas....Ch. 20 - Prob. 34EAPCh. 20 - .0 mol of monatomic gas A interacts with 3.0 mol...Ch. 20 - Two containers hold several balls. Once a second,...Ch. 20 - Prob. 37EAPCh. 20 - From what height must an oxygen molecule fall in a...Ch. 20 - Dust particles are 10m in diameter. They are...Ch. 20 - Prob. 40EAPCh. 20 - Photons of light scatter off molecules, and the...Ch. 20 - Prob. 42EAPCh. 20 - Prob. 43EAPCh. 20 - a. Find an expression for the vrms of gas...Ch. 20 - Equation 20.3 is the mean free path of a particle...Ch. 20 - Uranium has two naturally occurring isotopes. 238U...Ch. 20 - On earth, STP is based on the average atmospheric...Ch. 20 - .0 × l023 nitrogen molecules collide with a 10 cm2...Ch. 20 - Prob. 49EAPCh. 20 - Prob. 50EAPCh. 20 - A 100 cm3 box contains helium at a pressure of 2.0...Ch. 20 - 2.0 g of helium at an initial temperature of 300 K...Ch. 20 - Prob. 53EAPCh. 20 - Scientists studying the behavior of hydrogen at...Ch. 20 - Prob. 55EAPCh. 20 - Prob. 56EAPCh. 20 - In the discussion following Equation 20.43 it was...Ch. 20 - Prob. 58EAPCh. 20 - n moles of a diatomic gas with Cv= 52 has initial...Ch. 20 - The 2010 Nobel Prize in Physics was awarded for...Ch. 20 - Prob. 61EAPCh. 20 - Prob. 62EAPCh. 20 - 63. moles of a monatomic gas and moles of a...Ch. 20 - Prob. 64EAPCh. 20 - 65. An experiment you're designing needs a gas...Ch. 20 - 66. Consider a container like that 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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