How Does Temperature Affect Water Vapor Pressure?

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Qube
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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.

Equation ln(P2/P1) = ΔH/R (1/T1 − 1/T2), the Clausius-Clapeyron equation written as plain text in a small rendered image.


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?