Adiabatic Equation Derivation Troubleshooting

  • Thread starter Thread starter MotoPayton
  • Start date Start date
  • Tags Tags
    Adiabatic Tube
Click For Summary
SUMMARY

The forum discussion centers on troubleshooting the derivation of the adiabatic equation, where the user is unable to reconcile their results with the solution provided in the textbook. Despite a thorough understanding of the book's method, the user’s calculations yield slightly different answers. The discussion highlights the need for clarity in the derivation process and seeks assistance in identifying the discrepancies in the user's approach.

PREREQUISITES
  • Understanding of thermodynamics principles
  • Familiarity with the adiabatic process
  • Basic calculus for derivation techniques
  • Knowledge of relevant equations of state
NEXT STEPS
  • Review the derivation of the adiabatic equation in thermodynamics textbooks
  • Examine common mistakes in thermodynamic calculations
  • Practice problems related to adiabatic processes
  • Explore software tools for simulating thermodynamic systems
USEFUL FOR

Students of thermodynamics, educators teaching the adiabatic process, and researchers involved in energy systems analysis will benefit from this discussion.

MotoPayton
Messages
96
Reaction score
0
I have been struggling to find my mistake for over 2 hours now and I still haven't exactly matched my answers with the books solution. I feel that my method should give the same answer the solution manual obtained however they are slightly off.

I understand the book method completely.

Can someone tell me why my method doesn't work or find a way to make it work. I won't be able to sleep until I know.

Thanks

Book Question:

Capture-2.jpg


Book Solution:

solution.jpg


My solution:

DSCN8328.jpg


Derivation of adiabatic equation to avoid confusion:

DSCN8329.jpg

 
Physics news on Phys.org
going to bump this once
 

Similar threads

Correct Derivation of the Adiabatic Condition? (PV Diagram)
  • · Replies 4 ·
Replies
4
Views
1K
Specific work done by an adiabatic & reversible compressor on air
  • · Replies 6 ·
Replies
6
Views
2K
Finding the pressure of a gas in three identical balloons
  • · Replies 12 ·
Replies
12
Views
2K
Find the General expression for the adiabatic relationship....
  • · Replies 1 ·
Replies
1
Views
1K
Find the general expression for the adiabatic relationship
  • · Replies 11 ·
Replies
11
Views
1K
Adiabatic Expansion Pressure Temperature Relation
  • · Replies 9 ·
Replies
9
Views
6K
Projectile Motion Question (Envelope of trajectories) query
  • · Replies 42 ·
2
Replies
42
Views
3K
Adiabatic compressed air and energy calculations
  • · Replies 60 ·
3
Replies
60
Views
8K
Adiabatic Expansion of a Gas: Final Pressure-Volume Product Calculation
  • · Replies 1 ·
Replies
1
Views
2K
Adiabatic, Isothermal and Isochoric Processes
  • · Replies 1 ·
Replies
1
Views
3K