In Figure P17.32, the change in internal energy of a gas that is taken from A to C along the blue path is +800 J. The work done on the gas along the red path ABC is −500 J. (a) How much energy must be added to the system by heat as it goes from A through B to C? (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D? (c) What is the energy exchanged with the surroundings by heat as the gas goes from C to A along the green path? (d) If the change in internal energy in going from point D to point A is +500 J, how much energy must be added to the system by heat as it goes from point C to point D?
Figure P17.32
(a)
The energy added to the system by heat as it goes from
Answer to Problem 32P
The energy added to the system by heat as it goes from
Explanation of Solution
In this case, the change in the internal energy from
Here,
Write the expression for the energy added to the system by heat as it goes from
Here,
Rewrite the above expression,
Conclusion:
Substitute
Therefore, the energy added to the system by heat as it goes from
(b)
The work done on the system from
Answer to Problem 32P
The work done on the system from
Explanation of Solution
Write the expression for the work done the system from
Here,
Substitute
Conclusion:
Substitute
Therefore, the work done on the system from
(c)
The energy exchanged with the surroundings by heat from
Answer to Problem 32P
The energy exchanged with the surroundings by heat from
Explanation of Solution
Write the expression for the work done the system from
Here,
Write the expression for the energy exchanged with the surroundings by heat from
Conclusion:
Substitute
Therefore, the energy exchanged with the surroundings by heat from
(d)
The energy added to the system by heat from point
Answer to Problem 32P
The energy added to the system by heat from point
Explanation of Solution
Write the expression for the energy added to the system by heat as it goes from
Here,
Write the expression for the energy added to the system by heat from point
Here,
Conclusion:
Substitute
Substitute
Therefore, the energy added to the system by heat from point
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Chapter 17 Solutions
Principles of Physics: A Calculus-Based Text
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