Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Chapter 4, Problem 58P
(a)
To determine
The frequency of the vibrating hydrogen molecule.
(b)
To determine
The frequency of the vibrating oxygen molecule.
(c)
To determine
The frequency of the vibrating deuterium molecule.
(d)
To determine
The reason why deuterium frequency to hydrogen frequency is almost accurate.
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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…
■ Review | Constants
A cylinder with a movable piston contains 3.75 mol
of N2 gas (assumed to behave like an ideal gas).
Part A
The N2 is heated at constant volume until 1553 J of heat have been added. Calculate the change in
temperature.
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Part B
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Suppose the same amount of heat is added to the N2, but this time the gas is allowed to expand while
remaining at constant pressure. Calculate the temperature change.
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4. I've assembled the following assortment of point charges (-4 μC, +6 μC, and +3 μC)
into a rectangle, bringing them together from an initial situation where they were all
an infinite distance away from each other. Find the electric potential at point "A"
(marked by the X) and tell me how much work it would require to bring a +10.0 μC
charge to point A if it started an infinite distance away (assume that the other three
charges remains fixed).
300 mm
-4 UC
"A"
0.400 mm
+6 UC
+3 UC
5. It's Friday night, and you've got big party plans. What will you do? Why, make a
capacitor, of course! You use aluminum foil as the plates, and since a standard roll of
aluminum foil is 30.5 cm wide you make the plates of your capacitor each 30.5 cm by
30.5 cm. You separate the plates with regular paper, which has a thickness of 0.125
mm and a dielectric constant of 3.7. What is the capacitance of your capacitor? If
you connect it to a 12 V battery, how much charge is stored on either plate?
=
Chapter 4 Solutions
Matter and Interactions
Ch. 4.4 - Prob. 1CPCh. 4.5 - If a chain of 20 identical short springs linked...Ch. 4.5 - Nine identical springs are placed side by side (in...Ch. 4.5 - The 2 m copper wire with square cross section of 1...Ch. 4.6 - You hang a 5 kg mass from the end of a rod that is...Ch. 4.10 - At a certain instant the momentum of an object is...Ch. 4.11 - You have a rubber band whose relaxed length is 8.5...Ch. 4.13 - A certain metal with atomic mass 2 × 10−25 kg has...Ch. 4.14 - Calculate the buoyant force in air on a kilogram...Ch. 4.14 - Do the calculation and verify that the height of a...
Ch. 4.17 - Prob. 12CPCh. 4 - Prob. 1QCh. 4 - Approximately what is the radius of a copper atom?...Ch. 4 - (a) A climber whose mass is 55 kg hangs motionless...Ch. 4 - You hang a 10 kg mass from a copper wire, and the...Ch. 4 - You hang a mass M from a spring, which stretches...Ch. 4 - A spring has stiffness ks. You cut the spring in...Ch. 4 - Lead is much softer than aluminum, and can be more...Ch. 4 - Two wires are made of the same kind of metal. Wire...Ch. 4 - Two wires with equal lengths are made of pure...Ch. 4 - Suppose you attempt to pick up a very heavy...Ch. 4 - (a) In outer space, a rod is pushed to the right...Ch. 4 - Bob is pushing a box across the floor at a...Ch. 4 - In a spring–mass oscillator, when is the magnitude...Ch. 4 - For a vertical spring–mass oscillator that is...Ch. 4 - Prob. 15QCh. 4 - How should you start the system going at t = 0 in...Ch. 4 - Describe two examples of oscillating systems that...Ch. 4 - Two rods are both made of pure titanium. The...Ch. 4 - A particular spring–mass oscillator oscillates...Ch. 4 - Uranium-238 (U238) has three more neutrons than...Ch. 4 - Prob. 21PCh. 4 - A block of one mole of a certain material whose...Ch. 4 - The diameter of a copper atom is approximately...Ch. 4 - Prob. 24PCh. 4 - If a chain of 50 identical short springs linked...Ch. 4 - A certain spring has stiffness 190 N/m. The spring...Ch. 4 - Forty-five identical springs are placed side by...Ch. 4 - A certain spring has stiffness 140 N/m. The spring...Ch. 4 - Five identical springs, each with stiffness 390...Ch. 4 - A hanging titanium wire with diameter 2 mm (2 ×...Ch. 4 - Prob. 31PCh. 4 - One mole of tungsten (6.02 × 1023 atoms) has a...Ch. 4 - A hanging iron wire with diameter 0.08 cm is...Ch. 4 - Steel is very stiff, and Young’s modulus for steel...Ch. 4 - Prob. 35PCh. 4 - Young’s modulus for aluminum is 6.2 × 1010 N/m2....Ch. 4 - Suppose that we hang a heavy ball with a mass of...Ch. 4 - You hang a heavy ball with a mass of 14 kg from a...Ch. 4 - A hanging wire made of an alloy of iron with...Ch. 4 - A certain coiled wire with uneven windings has the...Ch. 4 - Two blocks of mass m1 and m3, connected by a rod...Ch. 4 - Prob. 42PCh. 4 - A 3 kg block measures 5 cm by 10 cm by 20 cm. When...Ch. 4 - A 15 kg box sits on a table. The coefficient of...Ch. 4 - A 20 kg box is being pushed across the floor by a...Ch. 4 - You drag a block across a table while a friend...Ch. 4 - For this problem you will need measurements of the...Ch. 4 - It is sometimes claimed that friction forces...Ch. 4 - A chain of length L and mass M is suspended...Ch. 4 - A ball whose mass is 1.4 kg is suspended from a...Ch. 4 - Prob. 51PCh. 4 - A bouncing ball is an example of an anharmonic...Ch. 4 - Here on Earth you hang a mass from a vertical...Ch. 4 - In the approximation that the Earth is a sphere of...Ch. 4 - A spring suspended vertically is 18 cm long. When...Ch. 4 - It was found that a 20 g mass hanging from a...Ch. 4 - A vertical mass–spring oscillator has an amplitude...Ch. 4 - In Problem P36 you can find the effective spring...Ch. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Two metal rods are made of different elements. The...Ch. 4 - You hang a heavy ball with a mass of 41 kg from a...Ch. 4 - Prob. 64PCh. 4 - It is hard to imagine that there can be enough air...Ch. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Here are two examples of floating objects: (a) A...
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- 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 T = constant. 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…arrow_forwardA-e pleasearrow_forwardTwo moles of carbon monoxide (CO) start at a pressure of 1.4 atm and a volume of 35 liters. The gas is then compressed adiabatically to 1/3 this volume. Assume that the gas may be treated as ideal. Part A What is the change in the internal energy of the gas? Express your answer using two significant figures. ΕΠΙ ΑΣΦ AU = Submit Request Answer Part B Does the internal energy increase or decrease? internal energy increases internal energy decreases Submit Request Answer Part C ? J Does the temperature of the gas increase or decrease during this process? temperature of the gas increases temperature of the gas decreases Submit Request Answerarrow_forward
- Your answer is partially correct. Two small objects, A and B, are fixed in place and separated by 2.98 cm in a vacuum. Object A has a charge of +0.776 μC, and object B has a charge of -0.776 μC. How many electrons must be removed from A and put onto B to make the electrostatic force that acts on each object an attractive force whose magnitude is 12.4 N? e (mea is the es a co le E o ussian Number Tevtheel ed Media ! Units No units → answe Tr2Earrow_forward4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forward4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forward
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