Thermal Processes: Determine T3

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The discussion focuses on determining the temperature T3 of a monatomic gas undergoing a three-step thermal process. Initially, the gas expands adiabatically from T1 = 592K to T2 = 390K, resulting in a significant energy change. The next step involves compressing the gas at constant pressure until it reaches T3. Participants suggest working backwards from T1 to find T3 and emphasize that the volume at the end of step two is equal to the volume at T1. Ultimately, finding the pressure at the end of step two is crucial for calculating T3.
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Homework Statement



A 1.20mol sample of an ideal monatomic gas, originally at a pressure of 1.00 atm, undergoes a three-step process: (1) it is expanded adiabatically from T1 = 592k to T2 = 390k ; (2) it is compressed at constant pressure until its temperature reaches T3; (3) it then returns to its original pressure and temperature by a constant-volume process.

Determine T3.

Homework Equations



E= 3/2 nRT

The Attempt at a Solution



So from T1 to T2, change in energy is -3022.97J. E at T1 8859.398J and E at T2 is 5836.4284J. From T2 to T3, it's isobaric. i found initial volume (at T1) to be .0583m^3. how do i go from here?
 
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So what is your question exactly? You might want to work backwards from T1 to help you determine T3 if that's what your after.
 
What does step 3 tell you about the volume at the end of step (2)?
 
the volume at the end of step (2) is the same volume as the volume at T1.
 
So now you just need to find the pressure at the end of step (2), and you'll have T_3.
 
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