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

AI Thread Summary
To determine temperatures at specific points in a PV cycle, one can utilize the ideal gas law, especially when the graph forms a rectangle. Given that some points may share the same pressure or volume, these relationships can help derive unknown temperatures. The equations for work (W = pΔV) and heat transfer (Q = mCΔT) are also relevant in this context. Knowing one temperature allows for calculations of the others by applying these principles. Understanding the relationships between pressure, volume, and temperature is crucial for solving these problems.
mneox
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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\DeltaV
Q = mC\DeltaT

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!
 
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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.
 

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