PV Graph Question: Internal Energy Not Zero?

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SUMMARY

The discussion centers on the confusion regarding the internal energy of a gas in a thermodynamic process, specifically from state a to state b. It is established that the internal energy is not zero in this transition, despite the gas returning to its original state. The key point is that internal energy depends on the specific thermodynamic path taken, not solely on the initial and final states.

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  • Understanding of thermodynamic processes
  • Familiarity with the concept of internal energy
  • Knowledge of state functions in thermodynamics
  • Basic principles of gas behavior in physics
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This discussion is beneficial for students of thermodynamics, physics educators, and anyone seeking to deepen their understanding of internal energy and thermodynamic processes.

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Homework Statement
The idealized cycle shown is known as the Otto cycle. (Figure 1)Suppose an engine is executing this Otto cycle, using a gas (not necessarily ideal) as its working substance. From state A to state B, the gas is allowed to expand adiabatically. (An adiabatic process is one in which no heat is added to, or given off by, the working gas.) The gas is then cooled at constant volume until it reaches state C, at which point it is adiabatically compressed to state D. Finally, it is heated at constant volume until it returns to state A.
Relevant Equations
adiabactic delta u = -w

isothermal Q=W
Figure 1:
Screen Shot 2022-02-03 at 12.04.03 AM.png


im so confused on why is the internal energy not zero for the 2nd picture because i thought if the gas returning to its original states so it zero

Screen Shot 2022-02-03 at 12.02.43 AM.png
 
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bluesteels said:
i thought if the gas returning to its original states so it zero
The question only asks about process ##a\rightarrow b##.
 

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