Solving Thermo & Vacuum Problems for Beginners

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SUMMARY

The discussion focuses on solving a thermodynamics problem involving a perfectly insulated box initially under vacuum conditions, which is punctured to fill with air at standard atmospheric pressure (1 bar) and temperature (298K). The user, Matt, successfully applied the work-energy principle, using the equations W = (p1)(V1) = m(Cv)(T2-T1) and (p1)(V1) = mR(T1) to determine the final temperature after the box is filled with air. This approach effectively demonstrates the application of thermodynamic principles in a real-world scenario.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically the first law of thermodynamics.
  • Familiarity with the concepts of pressure, volume, and temperature relationships in gases.
  • Knowledge of specific heat capacities (Cv) and the ideal gas law (PV=nRT).
  • Basic algebra and problem-solving skills to manipulate equations.
NEXT STEPS
  • Study the first law of thermodynamics in detail, focusing on energy conservation in closed systems.
  • Learn about the ideal gas law and its applications in thermodynamic problems.
  • Explore specific heat capacities for different gases and their significance in thermal processes.
  • Investigate real-world applications of thermodynamics in engineering and environmental science.
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and anyone interested in understanding thermodynamic processes and their applications in real-world scenarios.

MattConfused?
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Hi everybody,

i am new to Physics Forums and I have a problem that is confusing me. Any help would be much appreciated.

Problem:

A perfectly insulated box has vacuum inside of it (it is evacuated entirely) and is sitting with standard atmospheric surroundings (1 bar, 298K). It is then punctured and fills with air. What is its final temperature?

I am just not really sure how to approach this. The attempts I have made havn't really got me anywhere.

Thanks,

Matt
 
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Aaaaand I just solved it...

W = (p1)(V1) = m(Cv)(T2-T1) and (p1)(V1) = mR(T1)

Then solved...
 

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