Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 26, Problem 86P
Derive Equation 26.20 by considering the current sheet to be made of infinitely many infinitesimal line currents.
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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 26 Solutions
Essential University Physics (3rd Edition)
Ch. 26.2 - The figure shows a proton in a magnetic field. (1)...Ch. 26.3 - A proton of the same energy as the electron in...Ch. 26.4 - Prob. 26.4GICh. 26.5 - Prob. 26.5GICh. 26.6 - Prob. 26.6GICh. 26.7 - Which of the following best describes the...Ch. 26.8 - The figure shows three parallel wires carrying...Ch. 26 - A charged particle moves through a region...Ch. 26 - An electron moving with velocity v through a...Ch. 26 - A magnetic field points out of this page. Will a...
Ch. 26 - Do particles in a cyclotron gain energy from the...Ch. 26 - An electron and a proton moving at the same speed...Ch. 26 - Two identical particles carrying equal charge are...Ch. 26 - In what two senses does a current loop behave like...Ch. 26 - Prob. 8FTDCh. 26 - Do currents in the same direction attract or...Ch. 26 - If a current is passed through an unstretched...Ch. 26 - Figure 26.38 shows some magnetic field lines...Ch. 26 - Prob. 12FTDCh. 26 - Prob. 13FTDCh. 26 - Prob. 14FTDCh. 26 - Find (a) the minimum magnetic field needed to...Ch. 26 - An electron moving at right angles to a 0.10-T...Ch. 26 - Find the magnitude of the magnetic force on a...Ch. 26 - The magnitude of Earths magnetic field is about...Ch. 26 - A velocity selector uses a 60-mT magnetic field...Ch. 26 - Prob. 20ECh. 26 - How long does it take an electron to complete a...Ch. 26 - Radio astronomers detect electromagnetic radiation...Ch. 26 - Prob. 23ECh. 26 - Two protons, moving in a plane perpendicular to a...Ch. 26 - Find the magnitude of the force on a 65.5-cm-long...Ch. 26 - A wire carrying 15 A makes a 25 angle with a...Ch. 26 - Youre on a team performing a high-magnetic-field...Ch. 26 - A wire with mass per unit length 75 g/m runs...Ch. 26 - A wire carries 6.71 A. You form it into a...Ch. 26 - A single-turn wire loop is 2.0 cm in diameter and...Ch. 26 - A 2.2-m-long wire carrying 3.5 A is wound into a...Ch. 26 - Whats the current in a long wire if the magnetic...Ch. 26 - In standard household wiring, parallel wires about...Ch. 26 - Earths magnetic dipole moment is 8.01022 Am2. Find...Ch. 26 - A single-turn square wire loop 18.0 cm on a side...Ch. 26 - An electric motor contains a 250-turn circular...Ch. 26 - The line integral of the magnetic field on a...Ch. 26 - The magnetic field shown in Fig. 26.39 has uniform...Ch. 26 - Number 12 gauge wire, commonly used in household...Ch. 26 - Prob. 40ECh. 26 - A superconducting solenoid has 3300 turns per...Ch. 26 - A particle carrying a 50-C charge moves with...Ch. 26 - Jupiter has the strongest magnetic field in our...Ch. 26 - A proton moving with velocity v1 = 3.6 104 m/s...Ch. 26 - A simplified model of Earths magnetic field has it...Ch. 26 - A beam of electrons moving in the x-direction at...Ch. 26 - Show that the orbital radius of a charged particle...Ch. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Youre designing a prosthetic ankle that includes a...Ch. 26 - A 20-cm-long conducting rod with mass 18 g is...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - A simple electric motor consists of a 220-turn...Ch. 26 - Nuclear magnetic resonance (NMR) is a technique...Ch. 26 - A wire carrying 1.5 A passes through a 48-mT...Ch. 26 - Your company is developing a device incorporating...Ch. 26 - A single piece of wire carrying current I is bent...Ch. 26 - You and a friend get lost while hiking, so your...Ch. 26 - Part of a long wire carrying current I is bent...Ch. 26 - Prob. 62PCh. 26 - A long, straight wire carries a 25-A current. A...Ch. 26 - A long conducting rod of radius R carries a...Ch. 26 - A long, hollow conducting pipe of radius R carries...Ch. 26 - A solenoid used in a plasma physics experiment is...Ch. 26 - A solenoid used in a plasma physics experiment is...Ch. 26 - You have 10 m of 0.50-mm-diameter copper wire and...Ch. 26 - Prob. 69PCh. 26 - The largest lightning strikes have peak currents...Ch. 26 - A coaxial cable (see Fig. 26.47) consists of a...Ch. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - A circular wire loop of radius 15 cm and...Ch. 26 - Prob. 75PCh. 26 - A long, hollow conducting pipe of radius R and...Ch. 26 - A solid conducting wire of radius R runs parallel...Ch. 26 - A disk of radius a carries uniform surface charge...Ch. 26 - Youre developing a system to orient an orbiting...Ch. 26 - Prob. 80PCh. 26 - Prob. 81PCh. 26 - Find an expression for the magnetic field at the...Ch. 26 - Prob. 83PCh. 26 - A magnetic dipole = is on the axis of a circular...Ch. 26 - Prob. 85PCh. 26 - Derive Equation 26.20 by considering the current...Ch. 26 - Your roommate is sold on magnet therapy, a sham...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...
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