Suggested languages for you:

Americas

Europe

13CQ

Expert-verifiedFound in: Page 548

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**Which cyclical process represented by the two closed loops, ABCFA and ABDEA, on the PV diagram in the figure below produces the greatest net work? Is that process also the one with the smallest work input required to return it to point A? Explain your responses.**

The greatest net work is produced by the process ABDEA. Yes, it has the least work input for reaching point A.

Work done in a thermodynamic process is defined as the area under the P-V diagram in moving from initial volume \({{\rm{V}}_{\rm{1}}}\)** to **\({{\rm{V}}_{\rm{2}}}\)**.**

\({\rm{W = }}\int\limits_{{{\rm{V}}_{\rm{1}}}}^{{{\rm{V}}_{\rm{2}}}} {{\rm{PdV}}} \)

**For a closed cyclic process, the work done will then be the area enclosed by the graph of the closed cyclic process.**

**From the diagram, it can be seen that the area of the closed-loop ABDEA is more than that of ABCFA. Hence, the net work produced in the process ABCDA is more than the other.**

**As the input work is needed for two processes- CF for the cyclic process ABCFA and DE for the cyclic process ABDEA. The work needed in processes FA and EA is zero, as there is no change in volume in these processes. **

**The area under the curve represents the work needed for the process. If we compare the processes CF and DE the area under the curve is smaller for DE. Thus, the cyclic process ABDEA is the one with the least work input.**

94% of StudySmarter users get better grades.

Sign up for free