UA Worksheet Problem Help

[Kaley Qin 1F]

How do you solve for q in this problem?

[Jay Solanki 3A]

I am assuming that you have already solved for w? If so you can assume that deltaU equals 0 because at the beginning and end of the entire mechanical process, you come back to the same location. In other words, there is no overall change in the conditions (pressure, volume, etc.) after all of the individual transformations, and deltaU can be considered 0 since it depends solely on the state of the system. Considering that deltaU=q+w and deltaU is now 0, we can conclude that q=-w (or -q=w). Assuming you have already calculated the work, q should be fairly simple. Hope this helps!