COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 15, Problem 42QAP
To determine
The work done by the gas on its surroundings.
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Calculate the amount of work W done on a gas that
undergoes a change of state described by the pV diagram
shown in the figure.
4.00
3.00
-400
W =
J
2.00 -
Incorrect
%3D
1.00
1.00
2.00
3.00
4.00
V (m³)
p (10² Pa)
The figure shows the pV-diagram for an isothermal expansion of 1.50 mol of an ideal gas, at a temperature of 15.0 deg C (a) What is the change in internal energy of the gas?
The picture shows a pV diagram for an ideal gas in which its pressure tripled from a to b when 804 J of heat was put into the gas.
Work done on or by the gas between a and b= 0 W
Delta U=804 J
a) What is the temperature of the gas at point bb in terms of its temperature at a, Ta?
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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- As shown below, calculate the work done by the gas in the quasi-static processes represented by the paths (a) AB; (b) ADB; (c) ACB; and (d) ADCB. `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_forwardAn ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle. Initially, the gas is at Pi, Vi, and Ti. First, its pressure is tripled under constant volume. It then expands adiabatically to its original pressure and finally is compressed isobarically to its original volume. (a) Draw a PV diagram of this cycle. (b) Determine the volume at the end of the adiabatic expansion. Find (c) the temperature of the gas at the start of the adiabatic expansion and (d) the temperature at the end of the cycle. (e) What was the net work done on the gas for this cycle?arrow_forward
- Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with pressure 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state of the gas. (c) Find the work done by the gas in the process. (d) Find the change in internal energy of the gas in the process.arrow_forwardBy visual inspection, order the PV diagrams shown in Figure 12.5 from the most negative work done on the system to the most positive work done on the system, (a) a, b, c, d (b) a, c, b, d (c) d, b, c, a (d) d, a, c, barrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forward
- 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_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_forwardA car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?arrow_forward
- An amount of n moles of a monatomic ideal gas in a conducting container with a movable piston is placed in a large thermal heat bath at temperature T1 and the gas is allowed to come to equilibrium. After the equilibrium is leached, the pressure on the piston is lowered so that the gas expands at constant temperature. The process is continued quasi-statically until the final pressure is 4/3 of the initial pressure p1 . (a) Find the change in the internal energy of the gas. (b) Find the work done by the gas. (c) Find the heat exchanged by the gas, and indicate, whether the gas takes in or gives up heat.arrow_forwardIn the PV diagram given, what is the change in internal energy of the system ΔU? 1 500 J 0 J 500 J 1 000 Jarrow_forward*59 O Figure 19-26 shows two paths that may be taken by a gas from an initial point i to a final point f. Path 1 consists of an isother- mal expansion (work is 50 J in magnitude), an adiabatic expansion (work is 40 J in magnitude), an isothermal compression (work is 30 J in magnitude), and then an adiabatic compression (work is 25 J in magnitude). What is the change in the internal energy of the gas if the gas goes from point i to point falong path 2? -Path 1 Isothermal Path 2 Adiabatic Isothermal-arrow_forward
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