COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 15, Problem 45QAP
To determine
The work done by the gas on its surroundings.
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91. ssm The pressure and volume of a gas are changed along the path
ABCA. Using the data shown in the graph, determine the work done (in-
cluding the algebraic sign) in each segment of the path: (a) A to B, (b) B
to C, and (c) C to A.
7.0 x 105
3.0 x 105
2.0 x 10-3
5.0 x 10-3
Volume, m3
Pressure, Pa
13. ssm (a) Using the data presented in the accompanying pressure-
volume graph, cstimate the magnitude of the work done when the system
changes from A to B to C along the path shown. (b) Determine whether
the work is done by the system or on the system and, hence, whether the
work is positive or negative.
A'
1.0 x 104 Pa
Volume
2.0 x 10-3 m3
Pressure
p = Po V-6/5
In an adiabatic process oxygen gas in a container is compressed along a path that can be described by the following pressure p, in atm, as
a function of volume V, in liters:
Here po is a constant of units atm-L6/5
Write an expression for the work W done on the gas when the gas is compressed from a volume V; to a volume Vf
The initial and final volumes during the process were V;= 4 L and Vf= (V/2) L, respectively. If po = 3.9 atm·L6/>, find the amount of work
done on the gas, in joules.
W =
Chapter 15 Solutions
COLLEGE PHYSICS
Ch. 15 - Prob. 1QAPCh. 15 - Prob. 2QAPCh. 15 - Prob. 3QAPCh. 15 - Prob. 4QAPCh. 15 - Prob. 5QAPCh. 15 - Prob. 6QAPCh. 15 - Prob. 7QAPCh. 15 - Prob. 8QAPCh. 15 - Prob. 9QAPCh. 15 - Prob. 10QAP
Ch. 15 - Prob. 11QAPCh. 15 - Prob. 12QAPCh. 15 - Prob. 13QAPCh. 15 - Prob. 14QAPCh. 15 - Prob. 15QAPCh. 15 - Prob. 16QAPCh. 15 - Prob. 17QAPCh. 15 - Prob. 18QAPCh. 15 - Prob. 19QAPCh. 15 - Prob. 20QAPCh. 15 - Prob. 21QAPCh. 15 - Prob. 22QAPCh. 15 - Prob. 23QAPCh. 15 - Prob. 24QAPCh. 15 - Prob. 25QAPCh. 15 - Prob. 26QAPCh. 15 - Prob. 27QAPCh. 15 - Prob. 28QAPCh. 15 - Prob. 29QAPCh. 15 - Prob. 30QAPCh. 15 - Prob. 31QAPCh. 15 - Prob. 32QAPCh. 15 - Prob. 33QAPCh. 15 - Prob. 34QAPCh. 15 - Prob. 35QAPCh. 15 - Prob. 36QAPCh. 15 - Prob. 37QAPCh. 15 - Prob. 38QAPCh. 15 - Prob. 39QAPCh. 15 - Prob. 40QAPCh. 15 - Prob. 41QAPCh. 15 - Prob. 42QAPCh. 15 - Prob. 43QAPCh. 15 - Prob. 44QAPCh. 15 - Prob. 45QAPCh. 15 - Prob. 46QAPCh. 15 - Prob. 47QAPCh. 15 - Prob. 48QAPCh. 15 - Prob. 49QAPCh. 15 - Prob. 50QAPCh. 15 - Prob. 51QAPCh. 15 - Prob. 52QAPCh. 15 - Prob. 53QAPCh. 15 - Prob. 54QAPCh. 15 - Prob. 55QAPCh. 15 - Prob. 56QAPCh. 15 - Prob. 57QAPCh. 15 - Prob. 58QAPCh. 15 - Prob. 59QAPCh. 15 - Prob. 60QAPCh. 15 - Prob. 61QAPCh. 15 - Prob. 62QAPCh. 15 - Prob. 63QAPCh. 15 - Prob. 64QAPCh. 15 - Prob. 65QAPCh. 15 - Prob. 66QAPCh. 15 - Prob. 67QAPCh. 15 - Prob. 68QAPCh. 15 - Prob. 69QAPCh. 15 - Prob. 70QAPCh. 15 - Prob. 71QAPCh. 15 - Prob. 72QAPCh. 15 - Prob. 73QAPCh. 15 - Prob. 74QAPCh. 15 - Prob. 75QAPCh. 15 - Prob. 76QAPCh. 15 - Prob. 77QAPCh. 15 - Prob. 78QAPCh. 15 - Prob. 79QAPCh. 15 - Prob. 80QAPCh. 15 - Prob. 81QAPCh. 15 - Prob. 82QAPCh. 15 - Prob. 83QAPCh. 15 - Prob. 84QAPCh. 15 - Prob. 85QAPCh. 15 - Prob. 86QAPCh. 15 - Prob. 87QAPCh. 15 - Prob. 88QAPCh. 15 - Prob. 89QAPCh. 15 - Prob. 90QAPCh. 15 - Prob. 91QAPCh. 15 - Prob. 92QAPCh. 15 - Prob. 93QAPCh. 15 - Prob. 94QAPCh. 15 - Prob. 95QAPCh. 15 - Prob. 96QAPCh. 15 - Prob. 97QAPCh. 15 - Prob. 98QAPCh. 15 - Prob. 99QAPCh. 15 - Prob. 100QAP
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- A gas in a cylindrical closed container is adiabatically and quasi-statically expanded from a state A (3 MPa, 2 L) to a state B with volume of 6 L along the path 1.8pV= constant. (a) Plot the path in the pV plane. (b) Find the amount of work done by the gas and the change in the internal energy of the gas during the process.arrow_forwardConsider these scenarios and state whether work is done by the system on the environment (SE) or by the environment on the system (ES): (a) opening a carbonated beverage; (b) filling a flat tire; (c) a sealed empty gas can expands on a hot day, bowing out the walls.arrow_forward(a) An ideal gas expands adiabatically from a volume of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas? Use =5/3 for the gas. (b) In an isothermal process, an ideal gas expands from a of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature were 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas?arrow_forward
- A biology laboratory is maintained at a constant temperature of 7.00C by an air conditioner, which is vented to the air outside. On a typical hot summer day, the outside temperature is 27.0C and the air-conditioning unit emits energy to the outside at a rate of 10.0 kW. Model the unit as having a coefficient of performance (COP) equal to 40.0% of the COP of an ideal Carnot device. (a) At what rate does the air conditioner remove energy from the laboratory? (b) Calculate the power required for the work input. (c) Find the change in entropy of the Universe produced by the air conditioner in 1.00 h. (d) What If? The outside temperature increases to 32.0C. Find the fractional change in the COP of the air conditioner.arrow_forwardPressure and volume measurements of a dilute gas undergoing a quasi-static adiabatic expansion are shown below. Plot In p vs. V and determine 7 for this gas from your graph.arrow_forward(a) Determine the work done on a gas that expands from i to f as indicated in Figure P19.16. (b) What If? How much work is done on the gas if it is compressed from f to i along the same path? Figure P19.16arrow_forward
- Compare the charge in internal energy of an ideal gas for a quasi-static adiabatic expansion with that for a quasi-static isothermal expansion. What happens to the temperature of an ideal gas in an adiabatic expansion?arrow_forwardOne mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.arrow_forwardYou have a particular interest in automobile engines, so you have secured a co-op position at an automobile company while you attend school. Your supervisor is helping you to learn about the operation of an internal combustion engine. She gives you the following assignment, related to a simulation of a new engine she is designing. A gas, beginning at PA = 1.00 atm, VA = 0.500 L, and TA = 27.0C, is compressed from point A on the PV diagram in Figure P19.31 (page 530) to point B. This represents the compression stroke in a fourcycle gasoline engine. At that point, 132 J of energy is delivered to the gas at constant volume, taking the gas to point C. This represents the transformation of potential energy in the gasoline to internal energy when the spark plug fires. Your supervisor tells you that the internal energy of a gas is proportional to temperature (as we shall find in Chapter 20), the internal energy of the gas at point A is 200 J, and she wants to know what the temperature of the gas is at point C. Figure P19.31arrow_forward
- There is no change in the internal of an ideal gas undergoing an isothermal process since the internal energy depends only on the temperature. Is it therefore correct to say that an isothermal process is the same as an adiabatic process for an ideal gas? Explain your answer. `arrow_forward(a) If you shake a jar full of jelly beans of different sizes, the larger beans tend to appear near the top and the smaller ones tend to fall to the bottom. Why? (b) Does this process violate the second law of thermodynamics?arrow_forwardA gas expands from I to Fin Figure P20.58 (page 622). The energy added to the gas by heat is 418 J when the gas goes from I to F along the diagonal path, (a) What is the change in internal energy of the gas? (b) How much energy must be added to the gas by heat along the indirect path IAF?arrow_forward
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