Constant C in Vapor Pressure Equation

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SUMMARY

The vapor pressure equation P=C^(-ΔH/RT) includes a constant C, which does not have specific units as it is a proportionality constant. The equation is derived from the equality of chemical potentials between condensed and vapor phases. For practical applications, users can reference the complete expression P=P_0 exp(ΔS/R) exp(-ΔH/RT), where P_0 represents unit pressure. A request for a table of C values for common liquids such as water, ethanol, methanol, and diethyl ether was made, highlighting the need for accessible data on these constants.

PREREQUISITES
  • Understanding of vapor pressure concepts
  • Familiarity with thermodynamic principles, specifically ΔH and ΔS
  • Knowledge of the ideal gas law and its applications
  • Basic skills in interpreting chemical equations
NEXT STEPS
  • Research the derivation of the vapor pressure equation in detail
  • Find and compile a table of C values for common liquids
  • Study the relationship between entropy (ΔS) and vaporization processes
  • Explore the impact of temperature on vapor pressure using the Clausius-Clapeyron equation
USEFUL FOR

Chemistry students, educators, and researchers interested in thermodynamics and vapor pressure calculations will benefit from this discussion.

pzona
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I'm working on vapor pressure for my general chemistry class, and I recently came across the curve P=C^(-[tex]\Delta[/tex]H/RT). I was wondering what the units are for C (or are there no units because it is a constant?) and where I could find a table of values for common liquids (water, ethanol, methanol, diethyl ether, etc.). I know that I can cancel out C when actually doing problems, but I was curious to see the magnitudes of the values and how much they differ from each other. I haven't been able to find a table of values so far, so if anyone has a link I'd appreciate it.
 
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The complete expression is

[tex]P=P_0\exp\left(\frac{\Delta S}{R}-\frac{\Delta H}{RT}\right)=P_0\exp\left(\frac{\Delta S}{R}\right)\exp\left(\frac{-\Delta H}{RT}\right)[/tex]

where [itex]P_0[/itex] is the unit pressure (e.g., 1 Pa, 1 bar, 1 atm, etc.) and [itex]\Delta S[/itex] is the entropy increase when the condensed phase evaporates. This equation is derived by setting equal the chemical potentials of the condensed and vapor phases.
 

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