Solution Found!
The gas cylinder in FIGURE is similar to the cylinder
Chapter 17, Problem 12CQ(choose chapter or problem)
The gas cylinder in FIGURE Q17.12 is similar to the cylinder described earlier in Figure 17.13, except that the bottom is insulated. Masses are slowly removed from the top of the piston until the total mass is reduced by \(50 \%\).
a. During this process, are (i) \(\Delta T\), (ii) \(W\), and (iii) \(Q\) greater than, less than, or equal to zero? Explain.
b. Draw a \(p V\) diagram showing the process.
Equation Transcription:
Text Transcription:
50%
Delta T,W,Q
pV
Questions & Answers
QUESTION:
The gas cylinder in FIGURE Q17.12 is similar to the cylinder described earlier in Figure 17.13, except that the bottom is insulated. Masses are slowly removed from the top of the piston until the total mass is reduced by \(50 \%\).
a. During this process, are (i) \(\Delta T\), (ii) \(W\), and (iii) \(Q\) greater than, less than, or equal to zero? Explain.
b. Draw a \(p V\) diagram showing the process.
Equation Transcription:
Text Transcription:
50%
Delta T,W,Q
pV
ANSWER:
Step 1 of 2
Part a
Part (i)
The bottom of the cylinder is insulated. Therefore, the process is adiabatic. Hence in an adiabatic expansion, the temperature decreases. Therefore, the change in temperature is negative ot .
Part (ii)
The work is done on the gas, which leads to a negative work done. But the volume increases here. So, the final work done is also negative, .
Part (iii)
The bottom of the cylinder is insulated. Therefore, there is no exchange of heat of the cylinder with the surrounding. Hence is equal to zero.