1st law of thermodynamics, work/heat

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SUMMARY

The discussion focuses on the application of the first law of thermodynamics in the context of work and heat during adiabatic expansion of an ideal gas. Key equations include the adiabatic condition where q = 0, the change in internal energy represented as deltaU = w = Cv (T2-T1), and the relationship between pressure and volume for an ideal gas, P1V1 = P2V2. Participants emphasize the necessity of calculating temperatures at different states using the ideal gas law to progress in solving the problem.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Familiarity with ideal gas laws and equations
  • Knowledge of adiabatic processes and their characteristics
  • Basic concepts of internal energy and work in thermodynamics
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  • Study the derivation and application of the ideal gas law
  • Learn about adiabatic processes in thermodynamics
  • Explore the relationship between Cv and Cp for different gases
  • Investigate the implications of the first law of thermodynamics in real-world applications
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Homework Statement


http://img404.imageshack.us/img404/1913/captureop6.jpg

Homework Equations


adiabatic expansion: q = 0
deltaU = w = Cv (T2-T1)
reversible (ideal gas): P1V1 = P2V2
gamma = Cp/Cv
Cp - Cv = R

The Attempt at a Solution


V1 = nRT/P1
V2 = nRT/P2
Combine into w = -P2 (V2 - V1)

This is where I got stuck.
 
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Use the ideal gas law equation to find the temperatures first. Did you do this? What are the temperatures at states 1,2, and 3?
 

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