How Do You Determine Temperatures at Specific Points in a PV Cycle?

[mneox]

Homework Statement

Hi sorry, this is just kind of a general question about PV graphs. How does one determine the temperatures at certain points on a PV graph where there is a "cycle"?

Say the shape was a rectangle and I had to determine the temperature at points 1, 2, 3, and 4. How would I go about doing so? (I know one of the temperatures at a point already, it was given in the question).

So the formulas that I have been using are:

Homework Equations

W = p$$\Delta$$V
Q = mC$$\Delta$$T

The Attempt at a Solution

Yeah, I'm not really sure about where to start for finding temperature, can anyone offer some help and point me in the right direction? Thank you!

 

[rock.freak667]

If it is a rectangle, then some points may have the same pressure or volume, so you can use that fact coupled with the ideal gas (assuming the fluid is a gas) equation to get the other parameters.