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University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 3, Problem 13CQ
Give an example in which velocity is zero yet acceleration is not.
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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 3 Solutions
University Physics Volume 1
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(a)...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - Unreasonable results. 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It...Ch. 3 - Unreasonable results Dragsters can actually reach...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - A basketball referee tosses the ball straight up...Ch. 3 - A rescue helicopter is hovering over a person...Ch. 3 - Unreasonable results A dolphin in an aquatic show...Ch. 3 - A diver bounces straight up from a diving board,...Ch. 3 - (a) Calculate the height of a cliff if it takes...Ch. 3 - A very strong, but inept, shot putter puts the...Ch. 3 - You throw a ball straight up with an initial...Ch. 3 - A kangaroo can jump over an object 2.50 m high....Ch. 3 - Standing at the base of one of the cliffs of Mt....Ch. 3 - There is a 25O-m-high cliff at Half Dome in...Ch. 3 - The acceleration of a particle varies with time...Ch. 3 - Between t=0 and t=t0 , a rocket moves straight...Ch. 3 - The velocity of a particle moving along the x...Ch. 3 - A particle at rest leaves the origin with its...Ch. 3 - Professional baseball player Nolan Ryan could...Ch. 3 - An airplane leaves Chicago and makes the 3000-km...Ch. 3 - Unreasonable Results A cyclist rides 16.0 km east,...Ch. 3 - An object has an acceleration of +1.2cm/s2 . At...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - A particle moving at constant acceleration has...Ch. 3 - A train is mowing up a steep grade at constant...Ch. 3 - An electron is moving in a straight line with a...Ch. 3 - An ambulance driver is rushing a patient to the...Ch. 3 - A motorcycle that is slowing down uniformly covers...Ch. 3 - A cyclist travels from point A to point B in 10...Ch. 3 - Two trains are moving at 30 m/s in opposite...Ch. 3 - A 10.0-m-long truck moving with a constant...Ch. 3 - A police car waits in hiding slightly off the...Ch. 3 - Pablo is running in a half marathon at a velocity...Ch. 3 - Unreasonable results A runner approaches the...Ch. 3 - An airplane accelerates at 5.0m/s2 for 30.0 s....Ch. 3 - Compare the distance traveled of an object that...Ch. 3 - An object is moving east with a constant velocity...Ch. 3 - A ball is thro straight up. It passes a...Ch. 3 - A coin is dropped from a hot-air balloon that is...Ch. 3 - A soft tennis ball is dropped onto a hard floor...Ch. 3 - Unreasonable results. A raindrop falls from a...Ch. 3 - Compare the time in the air of a basketball player...Ch. 3 - Suppose that a person takes 0.5 s to react and...Ch. 3 - A hot-air balloon rises from ground level at a...Ch. 3 - (a) A world record was se for the men’s 100-m dash...Ch. 3 - An object is dropped from a height of 75.0 m above...Ch. 3 - A steel ball is dropped onto a hard floor from a...Ch. 3 - An object is dropped from a roof of a building of...Ch. 3 - In a 100-rn race, the winner is timed at 11.2 s....Ch. 3 - The position of a particle moving along the x...Ch. 3 - A cyclist sprints at the end of a race to clinch a...Ch. 3 - In 1967, New Zealander Burt Munro set the world...
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