Adiabat Process - with pV cycle

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SUMMARY

The discussion centers on calculating the work done by a heat engine using 2 moles of a diatomic gas following a pV cycle, with specific parameters including P=100 kPa and T1=207 K. The user identifies that W1→2 equals 0 and attempts to calculate W2→3 using the formula W2→3=nRΔT, but struggles to find the second temperature. Additionally, W3→1 is calculated using the formula W3→1=nRTln(v2/v1), but the user lacks volume data necessary for this calculation. The relevant adiabat equations from "Thermal Physics" by Kittel and Kroemer are referenced for further understanding.

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Homework Statement



A heat engine uses 2 mole of a diatomic gas that follows the pV cycle shown, how much work is done, over the cycle if P=100kPa, T1=207K


Phys.jpg

* P is suppose to be 0.5P this was a typo on the graph


This is what I've figured out so far: (if i am incorrect on anything please let me know)

W1→2 = 0

W2→3=nRΔT
So it would look like:
(2)(5/2)(8.31)(?-207)
The problem is i can't figure out how to find the other tempurature

W3→1=nRTln(v2/v1)
So it would look like this
(2)(8.31)(207)ln(?/?)
I don't understand how to get the volumes in this problem all the other problems i have had have given me a volume.
 
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