Can Ideal Gas Thermodynamics Explain This Circle Process?

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The discussion focuses on a thermodynamic cycle involving ideal gas processes: adiabatic compression, isochoric heating, adiabatic expansion, and isochoric cooling. The user is attempting to calculate work and heat changes for the cycle but is struggling to achieve the correct results, specifically aiming for a change in internal energy of zero and heat equal to negative work at 453J. They detail their calculations for each stage but express uncertainty about their application of formulas. Other participants encourage the user to provide more detailed calculations to identify errors. The thread emphasizes the complexity of visualizing and applying thermodynamic principles in this context.
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Some circle process contains next stages:
1.adiabatic compression
2. isochoric heating
3. adiabatic spreading
4. isochoric cooling
If we put ideal gas(x=1.4) in this process from starting conditions :
-Volume (V=30dm3)
-Pressure (P= 2.026bar)
-Temperature (T=366K)
* in first stage volume lows down on 20dm3,
*on the second stage pressure goes on 4.13bar.
CALCULATE VALUE OF ALL WORK AND ALL HEATING CHANGES IN THIS CIRCLE PROCESS!
Result should be (delta) I>U =0 ;Q= -W= 453J

This is what i used to calculate but didnt get right result:
stage 1)
P1V1=nRT1 ---->n
Cv=5/2 R
Q=0
W=(delta) U= n Cv (delta)T ; delta T(T2-T1)
T1/T2= (V2/V1) exp (x-1) ------> T2
stage 2)
W=0
P1/P2= (V2/V1)exp (x) ----->P2
T2/T3=P2/P3 ----->T3
Q=nCv (delta)T ;delta T= (T3-T2)
stage 3)
T3/T4= (V4/V3) exp(x-1) ----->T4
Q=0
W=(delta)U= n Cv (delta)T ;delta T= ( T4-T3)
stage 4)
W=0
Q=(delta)U= n Cv (delta)T ; delta T= (T1-T4)Did i messed smt with formulas? Calculating not problem, just this is a bit hard to visualise and set right formulas.. if someone can catch my mistake fast so i can try again, i don't want to bother anybary or take time. Thank you in front..
I m new here, sorry if didnt apsorb all rules at first.
 
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Please show us some more details of your calculations. It's really hard to figure out where you went wrong without that.

Chet
 
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