Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 26, Problem 88GP
Determine the current in each resistor of the circuit shown in Fig. 26–77.
FIGURE 26–77 Problem 88.
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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
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Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
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Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
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?
?
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
Physics for Scientists and Engineers with Modern Physics
Ch. 26.1 - Repeat Example 261 assuming now that the...Ch. 26.2 - You have a 10- and a 15- resistor. What is the...Ch. 26.3 - Write the equation for the lower loop abcdefga of...Ch. 26.4 - If the jumper cables of Example 2610 were...Ch. 26.5 - In 10 times constants, the charge on the capacitor...Ch. 26 - Explain why birds can sit on power lines safely,...Ch. 26 - Discuss the advantages and disadvantages of...Ch. 26 - If all you have is a 120-V line, would it be...Ch. 26 - Two lightbulbs of resistance R1 and R2 (R2 R1)...Ch. 26 - Household outlets are often double outlets. Are...
Ch. 26 - With two identical lightbulbs and two identical...Ch. 26 - If two identical resistors are connected in series...Ch. 26 - You have a single 60-W bulb on in your room. How...Ch. 26 - When applying Kirchhoffs loop rule (such as in...Ch. 26 - Compare and discuss the formulas for resistors and...Ch. 26 - For what use are batteries connected in series?...Ch. 26 - Can the terminal voltage of a battery ever exceed...Ch. 26 - Explain in detail how you could measure the...Ch. 26 - In an RC circuit, current flows from the battery...Ch. 26 - Given the circuit shown in Fig. 2634, use the...Ch. 26 - Figure 2635 is a diagram of a capacitor (or...Ch. 26 - Design a circuit in which two different switches...Ch. 26 - What is the main difference between an analog...Ch. 26 - What would happen if you mistakenly used an...Ch. 26 - Explain why an ideal ammeter would have zero...Ch. 26 - A voltmeter connected across a resistor always...Ch. 26 - A small battery-operated flashlight requires a...Ch. 26 - Different lamps might have batteries connected in...Ch. 26 - Prob. 1PCh. 26 - (I) Four 1.50-V cells are connected in series to a...Ch. 26 - (II) A 1.5-V dry cell can be tested by connecting...Ch. 26 - (II) What is the internal resistance of a 12.0-V...Ch. 26 - (I) A 650- and a 2200- resistor are connected in...Ch. 26 - (I) Three 45- lightbulbs and three 65- lightbulbs...Ch. 26 - (I) Suppose that you have a 680-, a 720-, and a...Ch. 26 - (I) How many 10- resistors must be connected in...Ch. 26 - (II) Suppose that you have a 9.0-V battery and you...Ch. 26 - Three 1.70-k resistors can be connected together...Ch. 26 - (II) A battery with an emf of 12.0 V shows a...Ch. 26 - (II) Eight identical bulbs are connected in series...Ch. 26 - (II) Eight bulbs are connected in parallel to a...Ch. 26 - (II) The performance of the starter circuit in an...Ch. 26 - (II) A close inspection of an electric circuit...Ch. 26 - (II) Determine (a) the equivalent resistance of...Ch. 26 - (II) A 75-W, 110-V bulb is connected in parallel...Ch. 26 - (II) (a) Determine the equivalent resistance of...Ch. 26 - (II) Whal is the net resistance of the circuit...Ch. 26 - (II) Calculate the current through each resistor...Ch. 26 - (II) The two terminals of a voltage source with...Ch. 26 - (II) Two resistors when connected in series to a...Ch. 26 - (III) Three equal resistors (R) are connected to a...Ch. 26 - (III) A 2.8-k and a 3.7-k resistor are connected...Ch. 26 - (III) Consider the network of resistors shown in...Ch. 26 - (III) You are designing a wire resistance heater...Ch. 26 - (I) Calculate the current in the circuit of Fig....Ch. 26 - (II) Determine the terminal voltage of each...Ch. 26 - (II) For the circuit shown in Fig. 2647, find the...Ch. 26 - (II) (a) A network of five equal resistors R is...Ch. 26 - (II) (a) What is the potential difference between...Ch. 26 - (II) Calculate the currents in each resistor of...Ch. 26 - (II) Determine the magnitudes and directions of...Ch. 26 - (II) Determine the magnitudes and directions of...Ch. 26 - (II) A voltage V is applied to n identical...Ch. 26 - (III) (a) Determine the currents I1, I2, and I3 in...Ch. 26 - (III) What would the current I1 be in Fig. 2653 if...Ch. 26 - (III) Determine the current through each of the...Ch. 26 - (III) If the 25- resistor in Fig. 2654 is shorted...Ch. 26 - (III) Twelve resistors, each of resistance R, are...Ch. 26 - (III) Determine the net resistance in Fig. 2656...Ch. 26 - (II) Suppose two batteries, with unequal emfs of...Ch. 26 - (I) Estimate the range of resistance needed to...Ch. 26 - (II) In Fig. 2658 (same as Fig. 2617a), the total...Ch. 26 - (II) Two 3.8-F capacitors, two 2.2-k resistors,...Ch. 26 - (II) How long does it take for the energy stored...Ch. 26 - (II) A parallel-plate capacitor is filled with a...Ch. 26 - (II) The RC circuit of Fig. 2659 (same as Fig....Ch. 26 - (II) Consider the circuit shown in Fig. 2660,...Ch. 26 - (III) Determine the time constant for charging the...Ch. 26 - (III) Two resistors and two uncharged capacitors...Ch. 26 - (III) Suppose the switch S in Fig. 2662 is closed....Ch. 26 - (I) An ammeter has a sensitivity of 35,00 /V. What...Ch. 26 - (I) What is the resistance of a voltmeter on the...Ch. 26 - (II) A galvanometer has a sensitivity of 45 k/V...Ch. 26 - (II) A galvanometer has an internal resistance of...Ch. 26 - (II) A particular digital meter is based on an...Ch. 26 - (II) A milliammeter reads 25 mA full scale. It...Ch. 26 - (II) A 45-V battery of negligible internal...Ch. 26 - (II) An ammeter whose internal resistance is 53 ...Ch. 26 - (II) A battery with E=12.0V and internal...Ch. 26 - (II) A 12.0-V battery (assume the internal...Ch. 26 - (III) Two 9.4-k resistors are placed in series and...Ch. 26 - (III) When the resistor R in Fig. 2664 is 35 , the...Ch. 26 - Suppose that you wish to apply a 0.25-V potential...Ch. 26 - A three-way lightbulb can produce 50 W, 100 W, or...Ch. 26 - Suppose you want to run some apparatus that is 65...Ch. 26 - For the circuit shown in Fig. 2618a, show that the...Ch. 26 - A heart pacemaker is designed to operate at 72...Ch. 26 - Prob. 70GPCh. 26 - A Wheatstone bridge is a type of bridge circuit...Ch. 26 - An unknown length of platinum wire 1.22 mm in...Ch. 26 - The internal resistance of a 1.35-V mercury cell...Ch. 26 - How many 12-W resistors, each of the same...Ch. 26 - A solar cell, 3.0 cm square, has an output of 350...Ch. 26 - A power supply has a fixed output voltage of 12.0...Ch. 26 - The current through the 4.0-k resistor in Fig....Ch. 26 - A battery produces 40.8 V when 7.40 A is drawn...Ch. 26 - In the circuit shown in Fig. 2668, the 33-...Ch. 26 - The current through the 20- resistor in Fig. 2669...Ch. 26 - (a) A voltmeter and an ammeter can be connected as...Ch. 26 - (a) What is the equivalent resistance of the...Ch. 26 - A flashlight bulb rated at 2.0 W and 3.0 V is...Ch. 26 - Some light-dimmer switches use a variable resistor...Ch. 26 - A potentiometer is a device to precisely measure...Ch. 26 - Electronic devices often use an RC circuit to...Ch. 26 - The circuit shown in Fig. 2676 is a primitive...Ch. 26 - Determine the current in each resistor of the...Ch. 26 - In the circuit shown in Fig. 2678, switch S is...Ch. 26 - Figure 2679 shows the circuit for a simple...Ch. 26 - Measurements made on circuits that contain large...Ch. 26 - A typical voltmeter has an internal resistance of...Ch. 26 - (II) An RC series circuit contains a resistor R =...
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