How to calculate change in pressure from LN2 phase change

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SUMMARY

This discussion focuses on calculating the increase in pressure resulting from the phase change of liquid nitrogen (LN2) to vapor in a closed, constant volume system at atmospheric pressure. The vapor pressure of LN2 is crucial for determining the pressure exerted on the container walls, with the heat of vaporization being a significant factor in this process. The conversation emphasizes the need to reference the molar volume of nitrogen gas and its corresponding temperature and pressure at equilibrium with liquid nitrogen. The critical temperature and pressure of nitrogen are also relevant when considering the limits of this calculation.

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  • Knowledge of the heat of vaporization for liquid nitrogen
  • Familiarity with molar volume concepts in gas laws
  • Basic principles of thermodynamics and phase changes
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AndyPivot
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I am trying to calculate the increase in pressure caused by liquid nitrogen when it changes from liquid to vapor within a closed, constant volume at atmospheric pressure. How can this be done? Do I need to include the heat of vaporization?
 
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So, the vapor pressure is an accurate representation of the pressure exerted by the LN2 gas on the walls of any closed container?
 
Last edited:
AndyPivot said:
increase in pressure...at atmospheric pressure. How can this be done?
Zero is identically "zρ." Now, what is your question? Did you want vapor pressure as a function of temperature?
 
Let's say you start with a mol of LN2 at one atmosphere at its boiling temperature, and you fix a cap on it (constant volume). You can look up the volume it displaces and the temperature on your own...

Add heat until it's all evaporated. As it evaporates, pressure rises, and boiling temperature rises. You know you have a molar volume of vapor (starting with one mol N2), so look up the temperature/pressure of N2 gas with that molar volume in equilibrium with liquid. If you run out of table before you get to that volume, then you can probably stop at the critical temperature, and find the (supercritical) pressure that provides the correct molar volume.
 

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