Solution Found!
CE An ideal gas has the pressure and volume indicated by
Chapter 18, Problem 75GP(choose chapter or problem)
An ideal gas has the pressure and volume indicated by point I in Figure 18–29. At this point its temperature is \(T_{1}\). The temperature of the gas can be increased to \(T_{2}\) by using the constant-volume process, \(I \rightarrow I I\), or the constant-pressure process, \(I \rightarrow I I I\). Is the entropy change for the process \(I \rightarrow I I\) greater than, less than, or equal to the entropy change on the process \(I \rightarrow I I I\)? Explain.
Equation Transcription:
Text Transcription:
T_{1}
T_{2}
I \rightarrow I I
I \rightarrow I I I
I \rightarrow I I
I \rightarrow I I I
Questions & Answers
QUESTION:
An ideal gas has the pressure and volume indicated by point I in Figure 18–29. At this point its temperature is \(T_{1}\). The temperature of the gas can be increased to \(T_{2}\) by using the constant-volume process, \(I \rightarrow I I\), or the constant-pressure process, \(I \rightarrow I I I\). Is the entropy change for the process \(I \rightarrow I I\) greater than, less than, or equal to the entropy change on the process \(I \rightarrow I I I\)? Explain.
Equation Transcription:
Text Transcription:
T_{1}
T_{2}
I \rightarrow I I
I \rightarrow I I I
I \rightarrow I I
I \rightarrow I I I
ANSWER:
Step 1 of 3
We have to find out whether the change in entropy is more in a constant volume process or in a constant pressure process if both processes lead to the same final temperature of the system.
The equation for the change in entropy is,
Where, 
The equation for the work done in a thermodynamic process is,
Where, 
The change in internal energy of the system,
Where, 
