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College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 27, Problem 21P
At what speed relative to a laboratory does a clock tick at half the rate of an identical clock at rest in the laboratory? Give your answer as a fraction of c.
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Students have asked these similar questions
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 27 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 27 - Prob. 1CQCh. 27 - Frame S moves relative to frame S as shown in...Ch. 27 - a. Two balls move as shown in Figure Q27.3. What...Ch. 27 - A lighthouse beacon alerts ships to the danger of...Ch. 27 - As a racket passes the earth at 0.75c, it fires a...Ch. 27 - At the instant that a clock standing next to you...Ch. 27 - Prob. 8CQCh. 27 - Firecrackers 1 and 2 are 600 m apart. You are...Ch. 27 - Your clocks and calendars are synchronized with...Ch. 27 - Two trees are 600 m apart. You are standing...
Ch. 27 - Prob. 12CQCh. 27 - In Figure Q27.12, clocks C1 and C2, in frame S are...Ch. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 17CQCh. 27 - The rocket speeds shown in Figure Q27.18 are...Ch. 27 - Can a particle of mass m have total energy less...Ch. 27 - In your chemistry classes, you have probably...Ch. 27 - Lee and Leigh are twins. At their first birthday...Ch. 27 - A space cowboy wants to eject from his spacecraft...Ch. 27 - Prob. 23MCQCh. 27 - Prob. 24MCQCh. 27 - A particle moving at speed 0.40c has momentum p0....Ch. 27 - A particle moving at speed 0.40c has kinetic...Ch. 27 - A sprinter crosses the finish line of a race. The...Ch. 27 - A baseball pitcher can throw a ball with a speed...Ch. 27 - A boy on a skateboard coasts along at 5 m/s. He...Ch. 27 - A boat takes 3.0 hours to travel 30 km down a...Ch. 27 - When the moving sidewalk at the airport is broken,...Ch. 27 - Prob. 6PCh. 27 - An out-of-control alien spacecraft is diving into...Ch. 27 - Prob. 8PCh. 27 - A starship blasts past the earth at 2.0 103 m/s....Ch. 27 - You are flying at 0.99c with respect to Kara. At...Ch. 27 - Prob. 11PCh. 27 - Bianca is standing at x = 600 m. Firecracker 1, at...Ch. 27 - You are standing at x = 9.0 km Lightning bolt 1...Ch. 27 - A light flashes at position x = 0 m. One...Ch. 27 - Jose is baking to the east. Lightning bolt 1...Ch. 27 - Your 1000-m-long starship has warning lights at...Ch. 27 - There is a lightbulb exactly halfway between the...Ch. 27 - Prob. 18PCh. 27 - A cosmic ray travels 60 km through the earths...Ch. 27 - Prob. 20PCh. 27 - At what speed relative to a laboratory does a...Ch. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - An astronaut travels to a star system 4.5 ly away...Ch. 27 - A subatomic particle moves through the laboratory...Ch. 27 - At what speed as a fraction of c, will a moving...Ch. 27 - Jill claims that her new rocket is 100 m long. As...Ch. 27 - Prob. 28PCh. 27 - A muon travels 60 km through the atmosphere at a...Ch. 27 - Prob. 30PCh. 27 - The Stanford Linear Accelerator (SLAC) accelerates...Ch. 27 - Our Milky Way galaxy is 100,000 ly in diameter. A...Ch. 27 - The X-15 rocket-powered plane holds the record for...Ch. 27 - Youre standing on an asteroid when you see your...Ch. 27 - A rocket cruising past earth at 0.800c shoots a...Ch. 27 - Prob. 36PCh. 27 - A base on Planet X fires a missile toward an...Ch. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - What are the kinetic energy, the rest energy, and...Ch. 27 - Prob. 44PCh. 27 - A quarter-pound hamburger with all the fixings has...Ch. 27 - Prob. 46PCh. 27 - How fast much an electron move so that its total...Ch. 27 - Prob. 48PCh. 27 - At what speed is a particle's kinetic energy twice...Ch. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - Prob. 52PCh. 27 - The chemical energy of gasoline is 46 MJ/kg. If...Ch. 27 - A standard nuclear power plant generates 3.0 GW of...Ch. 27 - A firecracker explodes at x = 0 m, t = 0 s. A...Ch. 27 - Prob. 56GPCh. 27 - Prob. 57GPCh. 27 - A very fast-moving train car passes you, moving to...Ch. 27 - A spaceship heads directly toward an asteroid at a...Ch. 27 - Prob. 60GPCh. 27 - Prob. 61GPCh. 27 - Prob. 62GPCh. 27 - A spaceship flies past an experimenter who...Ch. 27 - Marissas spaceship approaches Josephs at a speed...Ch. 27 - At a speed of 0.90c, a spaceship travels to a star...Ch. 27 - Prob. 66GPCh. 27 - A rocket traveling at 0.500c sets out for the...Ch. 27 - A distant quasar is found to be moving away from...Ch. 27 - A space beacon on Planet Karma emits a pulse of...Ch. 27 - Two rockets, A and B, approach the earth from...Ch. 27 - Prob. 71GPCh. 27 - What is the speed of an electron after being...Ch. 27 - What is the speed of a proton after being...Ch. 27 - Prob. 74GPCh. 27 - What is the total energy, in MeV, of a. A proton...Ch. 27 - Prob. 76GPCh. 27 - The sun radiates energy at the rate 3.8 1026 W....Ch. 27 - The radioactive element radium (Ra) decays by a...Ch. 27 - Prob. 79GPCh. 27 - Prob. 80GPCh. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...
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