Solve Gas Expansion Problem: CO2 Tank, Expansion Chamber & Ambient Heat

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SUMMARY

The discussion centers on calculating the temperature drop in a CO2 tank after expanding liquid CO2 into an expansion chamber. The user seeks to determine the temperature decrease and the time required for ambient heat to reheat the system to approximately 800 psi, where no more liquid CO2 will vaporize. Key to this calculation is obtaining thermodynamic data, specifically the enthalpy of liquid and gaseous CO2 at the relevant temperature and pressure. The user has access to tank volume, liquid volume, and expansion chamber volume, which are essential for the calculations.

PREREQUISITES
  • Understanding of thermodynamics, specifically the behavior of gases and liquids.
  • Familiarity with CO2 properties, including phase changes and enthalpy.
  • Knowledge of pressure-volume-temperature relationships in gases.
  • Ability to use thermodynamic data tables for CO2.
NEXT STEPS
  • Research thermodynamic data tables for CO2, focusing on enthalpy values at various temperatures and pressures.
  • Learn how to apply the ideal gas law to calculate changes in pressure and temperature during phase transitions.
  • Study the principles of heat transfer to estimate the time required for ambient heat to reheat the CO2 system.
  • Explore software tools or calculators that can assist in thermodynamic calculations for gases.
USEFUL FOR

This discussion is beneficial for engineers, physicists, and hobbyists working on gas expansion systems, particularly those involving CO2, as well as anyone interested in thermodynamic calculations and heat transfer principles.

mblackwolf
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Here is my problem i am working on a project in my free time and am stuck on figuring something out. I am going to be using a CO2 tank which is filled (contains both liquid and gas). I will then open a valve to fill an expansion chamber. This will allow for expansion of the liquid into gas and will help the liquid from getting pulled into the final location. Another valve will then pull this gaseous CO2 into a new chamber.

In the original expansion from the tank into the expansion chamber the liquid CO2 boiling off will cause a reduction in the temperature. The ambient heat can then heat the chamber and tank combination to lead to the same pressure approx. 800psi at which no more liquid will turn to gas. My question is how do i go about finding the temperature decrease in the tank after the expansion and before ambient heat reheats the system. I need this info to calculate the amount of time ambient heat will take to reheat the system or to determine the new non reheated pressure. Thanks i will know the tank volume, liquid volume and expansion chamber volume. I just need to know how to use these to determine the temperature drop.
 
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The first thing you need is some table of Thermodynamic Data for CO2. You will need the enthalpy of both liquid and gaseous CO2 at the temperature and pressure you intend to work. If you were able to find this data, the rest (calculations) is easy.
 
If i could find the enthalpy of CO2 at the tanks original temperature and pressure how would i go about finding the new temperature and pressure after the expansion
 

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