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IP Consider 132 moles of a monatomic gas undergoing the
Chapter 18, Problem 79GP(choose chapter or problem)
Consider 132 moles of a monatomic gas undergoing the isothermal expansion shown in Figure 18–23.
(a) What is the temperature T of this expansion?
(b) Does the entropy of the gas increase, decrease, or stay the same during the process? Explain.
(c) Calculate the change in entropy for the gas, \(\Delta S\), if it is nonzero.
(d) Calculate the work done by the gas during this process, and compare to \(T \Delta S\).
Equation Transcription:
Text Transcription:
\Delta S
T \Delta S
Questions & Answers
QUESTION:
Consider 132 moles of a monatomic gas undergoing the isothermal expansion shown in Figure 18–23.
(a) What is the temperature T of this expansion?
(b) Does the entropy of the gas increase, decrease, or stay the same during the process? Explain.
(c) Calculate the change in entropy for the gas, \(\Delta S\), if it is nonzero.
(d) Calculate the work done by the gas during this process, and compare to \(T \Delta S\).
Equation Transcription:
Text Transcription:
\Delta S
T \Delta S
ANSWER:Solution 79GP
Step 1 of 5
Here, we have to calculate the temperature, change in entropy and work done in an isothermal process.
The equation for the change in entropy is,
--------------------(1)
Where, - Change in heat
- temperature of the system
Equation for the work done in an isothermal expansion is,
-------------(2)
Where, - Number of moles of the gas
- Universal gas constant
- Final volume
- Initial volume
Where, is the temperature given by,
---------------(3)
a)