FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
11th Edition
ISBN: 9781119459132
Author: Halliday
Publisher: WILEY
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Chapter 26, Problem 5P
SSM WWW A beam contains 2.0 × 108 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 1.0 × 105 m/s. What are the (a) magnitude and (b) direction of the current density 
? (c) What additional quantity do you need to calculate the total current i in this ion beam?
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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
FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
Ch. 26 - Figure 26-15 shows cross sections through three...Ch. 26 - Figure 26-16 shows cross sections through three...Ch. 26 - Figure 26-17 shows a rectangular solid conductor...Ch. 26 - Figure 26-18 shows plots of the current i through...Ch. 26 - Figure 26-19 shows four situations in which...Ch. 26 - In Fig. 26-20, a wire that carries a current...Ch. 26 - Figure 26-21 gives the electric potential Vx...Ch. 26 - The following table give the lengths of three...Ch. 26 - Prob. 9QCh. 26 - Three wires, of the same diameter, are connected...
Ch. 26 - Figure 26-23 gives, for three wires of radius R,...Ch. 26 - During the 4.0 min a 5.0 A current is set up in a...Ch. 26 - An isolated conducting sphere has a 10 cm radius....Ch. 26 - A charged belt, 50 cm wide, travels at 30 m/s...Ch. 26 - The United States National Electric Code, which...Ch. 26 - SSM WWW A beam contains 2.0 108 doubly charged...Ch. 26 - A certain cylindrical wire carries current. We...Ch. 26 - A fuse in an electric circuit is a wire that is...Ch. 26 - Prob. 8PCh. 26 - The magnitude Jr of the current density in a...Ch. 26 - The magnitude J of the current density in a...Ch. 26 - What is the current in a wire of radius R = 3.40...Ch. 26 - Near Earth, the density of protons in the solar...Ch. 26 - Prob. 13PCh. 26 - A human being can be electrocuted if a current as...Ch. 26 - SSM A coil is formed by winding 250 turns of...Ch. 26 - Copper and aluminium are being considered for a...Ch. 26 - Prob. 17PCh. 26 - A wire 4.00 m long and 6.00 mm in diameter has a...Ch. 26 - SSM What is the resistivity of a wire of 1.0 mm...Ch. 26 - Prob. 20PCh. 26 - ILW A common flashlight bulb is rated at 0.30 A...Ch. 26 - Kiting during a storm. The legend that Benjamin...Ch. 26 - Prob. 23PCh. 26 - GO Figure 26-25a gives the magnitude Ex of the...Ch. 26 - SSM ILW A wire with a resistance of 6.0 is drawn...Ch. 26 - In Fig. 26-26a. a 9.00 V battery is connected to a...Ch. 26 - SSM WWW Two conductors are made of the same...Ch. 26 - GO Figure 26-27 gives the electric potential Vx...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - GO Figure 26-29 shows wire section 1 of diameter...Ch. 26 - GO In Fig. 26-30, current is set up through a...Ch. 26 - GO Swimming during a storm. Figure 26-31 shows a...Ch. 26 - Prob. 37PCh. 26 - In Fig. 26-32a, a 20 resistor is connected to a...Ch. 26 - A certain brand of hot-dog cooker works by...Ch. 26 - Thermal energy is produced in a resistor at a rate...Ch. 26 - SSM A 1220 V potential difference is applied to a...Ch. 26 - In Fig. 26-33, a battery of potential difference V...Ch. 26 - ILW An unknown resistor is connected between the...Ch. 26 - A student kept his 6.0 V, 7.0 W radio turned on at...Ch. 26 - SSM ILW A 1250 W radiant heater is constructed to...Ch. 26 - A copper wire of cross-sectional area 2.00 106 m2...Ch. 26 - A heating element is made by maintaining a...Ch. 26 - Exploding shoes. The rain-soaked shoes of a person...Ch. 26 - A 100 W lightbulb is plugged into a standard 120 V...Ch. 26 - GO The current through the battery and resistors 1...Ch. 26 - GO SSM WWW Wire C and wire D are made from...Ch. 26 - GO The current-density magnitude in a certain...Ch. 26 - A 120 V potential difference is applied to a space...Ch. 26 - Go Figure 26-36a shows a rod of resistive...Ch. 26 - SSM A Nichrome heater dissipates 500 W when the...Ch. 26 - Prob. 56PCh. 26 - An 18.0 W device has 9.00 V across it. How much...Ch. 26 - An aluminum rod with a square cross section is 1.3...Ch. 26 - A cylindrical metal rod is 1.60 m long and 5.50 mm...Ch. 26 - The chocolate crumb mystery. This story begins...Ch. 26 - SSM A steady beam of alpha particles q = 2e...Ch. 26 - A resistor with a potential difference of 200 V...Ch. 26 - A 2.0 kW heater element from a dryer has a length...Ch. 26 - cylindrical resistor of radius 5.0 mm and length...Ch. 26 - A potential difference V is applied to a wire of...Ch. 26 - The headlights of a moving car require about 10 A...Ch. 26 - A 500 W heating unit is designed to operate with...Ch. 26 - The copper windings of a motor have a resistance...Ch. 26 - How much electrical energy is transferred to...Ch. 26 - A caterpillar of length 4.0 cm crawls in the...Ch. 26 - Prob. 71PCh. 26 - A steel trolley-car rail has a cross-sectional...Ch. 26 - A coil of current-carrying Nichrome wire is...Ch. 26 - Prob. 74PCh. 26 - A certain x-ray tube operates at a current of 7.00...Ch. 26 - A current is established in a gas discharge tube...Ch. 26 - Prob. 77PCh. 26 - An insulating belt moves at speed 30 m/s and has a...Ch. 26 - In a hypothetical fusion research lab, high...Ch. 26 - When a metal rod is heated, not only its...Ch. 26 - A beam of 16 MeV deuterons from a cyclotron...Ch. 26 - A linear accelerator produces a pulsed beam of...Ch. 26 - An electric immersion heater normally takes 100...Ch. 26 - A 400 W immersion heater is placed in a pot...Ch. 26 - A 30 F capacitor is connected across a programmed...
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