# Matlab: The Clausius-Clapeyron equation

# Questions

The Clausius-Clapeyron equation can be used to find the saturation vapor pressure of water in the atmosphere, for different temperatures.

The saturation water vapor pressure is useful to meteorologists because it can be used to calculate relative humidity, an important component of weather prediction, when the actual partial pressure of water in the air is known.

The Clausius-Clapeyron equation is

\[ln(P^{0}/6.11) = (\frac{\Delta{H_{v}}}{R_{air}})\times(\frac{1}{273}-\frac{1}{T})\]where,

\(P^{0}\): Saturation vapor pressure for water, in mbar, at temperature \(T\),

\(\Delta{H_{v}}\): Latent heat of vaporization for water, \(2.453 \times 10^{6} J/kg\),

\(R_{air}\): Gas constant for moist air, \(461 J/kg\), and

\(T\): Temperature in kelvins.

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