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Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 21P
To determine
The maximum radius can be asteroid have to be able to leave it entirely simply by jumping straight up.
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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.
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…
■ 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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Chapter 13 Solutions
Physics for Scientists and Engineers
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Superman stands on top of a very tall mountain and...Ch. 13.4 - An asteroid is in a highly eccentric elliptical...Ch. 13.6 - Prob. 13.4QQCh. 13 - In introductory physics laboratories, a typical...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 4PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...
Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 9PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 12PCh. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 18PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 24APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 26APCh. 13 - Prob. 27APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 30APCh. 13 - Prob. 31APCh. 13 - Prob. 32APCh. 13 - Prob. 33APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - Prob. 36APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 39APCh. 13 - Prob. 40APCh. 13 - Prob. 41APCh. 13 - Prob. 42APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - Two stars of masses M and m, separated by a...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...
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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? =arrow_forwardLearning 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_forward
- Two 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_forwardYour 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_forward
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