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 36, Problem 48EAP
The Stanford Linear Accelerator (SLAC) accelerates electrons to v = O.99999997c in a 3.2-km-long tube. If they travel the length of the tube at full speed (they don’t, because they are accelerating),
how long is the tube in the electrons’ reference frame?
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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 36 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 36 - Prob. 1CQCh. 36 - Teenagers Sam and Tom are playing chicken in their...Ch. 36 - Prob. 3CQCh. 36 - Prob. 4CQCh. 36 - Prob. 5CQCh. 36 - Prob. 6CQCh. 36 - Prob. 7CQCh. 36 - Prob. 8CQCh. 36 - A 100-m-long train is heading for an 80-m-long...Ch. 36 - Prob. 10CQ
Ch. 36 - Event A occurs at spacetime coordinates (300 m, 2...Ch. 36 - A firecracker explodes in reference frame S at t =...Ch. 36 - At t = 1.0 s, a firecracker explodes at x = 10 m...Ch. 36 - A newspaper delivery boy is riding his bicycle...Ch. 36 - A baseball pitcher can throw a ball with a speed...Ch. 36 - Prob. 5EAPCh. 36 - Prob. 6EAPCh. 36 - Your job is to synchronize the clocks in a...Ch. 36 - Bjorn is standing at x = 600 m. Firecracker 1...Ch. 36 - Prob. 9EAPCh. 36 - You are standing at x 9.0 km and your assistant is...Ch. 36 - Prob. 11EAPCh. 36 - Prob. 12EAPCh. 36 - Prob. 13EAPCh. 36 - Prob. 14EAPCh. 36 - Prob. 15EAPCh. 36 - a. At what speed, as a fraction of c, must a...Ch. 36 - Prob. 17EAPCh. 36 - At what speed, in m/s, would a moving clock lose...Ch. 36 - Prob. 19EAPCh. 36 - Prob. 20EAPCh. 36 - 21. At what speed, as a fraction of c. will a...Ch. 36 - Prob. 22EAPCh. 36 - Prob. 23EAPCh. 36 - Prob. 24EAPCh. 36 - Prob. 25EAPCh. 36 - 26. A rocket travels in the x-direction at speed...Ch. 36 - Prob. 27EAPCh. 36 - Prob. 28EAPCh. 36 - Prob. 29EAPCh. 36 - Prob. 30EAPCh. 36 - A laboratory experiment shoots an electron to the...Ch. 36 - Prob. 32EAPCh. 36 - Prob. 33EAPCh. 36 - Prob. 34EAPCh. 36 - Prob. 35EAPCh. 36 - Prob. 36EAPCh. 36 - Prob. 37EAPCh. 36 - At what speed, as a fraction of c, must an...Ch. 36 - At what speed, as a fraction of c, is a particle’s...Ch. 36 - At what speed, as a fraction of c, is a particle’s...Ch. 36 - Prob. 41EAPCh. 36 - Prob. 42EAPCh. 36 - The diameter of the solar system is 10 light...Ch. 36 - A 30-m-long rocket train car is traveling from Los...Ch. 36 - Prob. 45EAPCh. 36 - Two events in reference frame S occu 10 µs apart...Ch. 36 - Prob. 47EAPCh. 36 - The Stanford Linear Accelerator (SLAC) accelerates...Ch. 36 - Prob. 49EAPCh. 36 - Prob. 50EAPCh. 36 - Prob. 51EAPCh. 36 - Prob. 52EAPCh. 36 - Prob. 53EAPCh. 36 - Prob. 54EAPCh. 36 - Prob. 55EAPCh. 36 - Prob. 56EAPCh. 36 - Prob. 57EAPCh. 36 - Prob. 58EAPCh. 36 - Prob. 59EAPCh. 36 - Prob. 60EAPCh. 36 - Prob. 61EAPCh. 36 - Prob. 62EAPCh. 36 - Prob. 63EAPCh. 36 - Prob. 64EAPCh. 36 - Prob. 65EAPCh. 36 - Prob. 66EAPCh. 36 - Prob. 67EAPCh. 36 - Prob. 68EAPCh. 36 - Prob. 69EAPCh. 36 - Prob. 70EAPCh. 36 - Prob. 71EAPCh. 36 - Prob. 72EAPCh. 36 - Prob. 73EAPCh. 36 - Prob. 74EAPCh. 36 - Prob. 75EAPCh. 36 - Prob. 76EAPCh. 36 - Prob. 77EAP
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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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