How Does Temperature Affect Water Vapor Pressure?

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SUMMARY

The vapor pressure of water at 50 degrees Celsius can be calculated using the Clausius-Clapeyron equation. Given the molar heat of vaporization of water at 40.7 kJ/mol, the calculation yields a vapor pressure (P2) of approximately 100 mm Hg. This result is close to the tabulated value of 92.51 mm Hg, confirming the accuracy of the approach used in the calculation.

PREREQUISITES
  • Understanding of the Clausius-Clapeyron equation
  • Knowledge of molar heat of vaporization
  • Familiarity with logarithmic functions
  • Basic thermodynamic principles
NEXT STEPS
  • Study the Clausius-Clapeyron equation in detail
  • Learn about the properties of water and its phase changes
  • Explore the concept of vapor pressure and its applications
  • Investigate the effects of temperature on vapor pressure in different substances
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Students in chemistry or physics, educators teaching thermodynamics, and anyone interested in the physical properties of water and phase transitions.

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Homework Statement



Determine the vapor pressure of water at 50 degrees C. The molar heat of vaporization of water is 40.7 kJ/mol.

Homework Equations



Clausius-Clapeyron equation.

Clausi1.gif


The Attempt at a Solution



P1 = 760 mm Hg
T1 = 373 K

P2 = ?
T2 = 323 K

ln (P2/760) = ln P2 - ln 760 = -(40700/8.31)(1/323 - 1/373). I'm taking the change in temperature (delta T, or final minus initial temperature, and accordingly I put a negative out in front of the right side of the equation).

ln P2 = 4.6

e^4.6 = P2 = 100 mm Hg (approximately).

Is this correct?
 
Physics news on Phys.org
Tables give 92.51 mm Hg, so you are reasonably close.
 
Thank you :-)!
 

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