How to calculate change in pressure from LN2 phase change

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Discussion Overview

The discussion revolves around calculating the increase in pressure resulting from the phase change of liquid nitrogen (LN2) to vapor within a closed, constant volume system at atmospheric pressure. Participants explore whether the heat of vaporization should be included in the calculations and how vapor pressure relates to the pressure exerted by LN2 gas on container walls.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks to understand how to calculate the pressure increase due to the phase change of LN2 and questions the necessity of including the heat of vaporization.
  • Another participant provides a link to an unverified source that may contain relevant information.
  • There is a discussion about whether vapor pressure accurately represents the pressure exerted by LN2 gas on the walls of a closed container.
  • One participant expresses disagreement with the definition of vapor pressure, suggesting it may not fully capture the pressure exerted on the container walls.
  • A participant proposes a method involving starting with a mole of LN2 at boiling temperature and adding heat until it fully evaporates, noting that pressure and boiling temperature will rise during this process.
  • There is mention of looking up the temperature and pressure of nitrogen gas in equilibrium with liquid nitrogen, and considerations regarding critical temperature and pressure are raised.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between vapor pressure and the pressure exerted by LN2 gas, indicating that multiple competing views remain unresolved.

Contextual Notes

Some participants highlight the need for clarity on definitions and the conditions under which vapor pressure is measured, as well as the implications of constant volume and temperature changes during the phase transition.

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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