The Clausius-Clapeyron Equation is Pretty Dope, Actually

It relates temperature, pressure, and heat of vaporization. Yup. 2026-03-21^†

I've been doing a lot of vacuum distillations lately and found the Clausius-Clapeyron equation to be quite helpful.

\begin{matrix} \frac{d P}{d T} & = \frac{P Δ {\overline{H}}_{vap}}{R T^{2}} \\ \ln (\frac{P_{1}}{P_{2}}) & = - \frac{Δ {\overline{H}}_{vap}}{R} (\frac{1}{T_{2}} - \frac{1}{T_{1}}) \end{matrix}

Figure 1: Two forms of the Clausius-Clapeyron equation, relating vapor pressures

P

and liquid temperatures

T

of a chemical with a molar heat of vaporization

Δ {\overline{H}}_{vap}

To play around with it and introduce more interaction to my website, I also made an exploratory tool for it! You can find it (removed link), under my tools page where I intend to put more interactive works.

I might update the tool in the future to make it more usable in a laboratory setting:

List of points to allow precise control/calculations
Brushing over regions to zoom in
Fixing a lot of weird sizing bugs

But I want to get on with my life. So it is here in a working state for now.

Tool Removal 1

Since the writing of this article, the interactive tool page has been removed. It has long been defunct, as its UI was quite bespoke, and I wanted to remove the associated code from the live site as part of a recent overhaul.