#+OPTIONS:   H:2 toc:nil num:nil
#+EXPORT_EXCLUDE_TAGS: noexport

#+startup: beamer

#+PROPERTY: cache yes
#+latex_header: \usepackage[british]{babel}
* Introduction
** Example: Benzene and Chlorobenzene mixture
    - Benzene is lighter of the two components.
    - Antoine coefficients (\scannedtable{4}) are:

    #+tblname: benzene-chlorobenzene-antoine-coefficients
    | Species       |       A |        B |       C |
    |---------------+---------+----------+---------|
    | benzene       | 6.89272 | 1203.531 | 219.888 |
    | chlorobenzene | 7.10690 |   1500.0 |     224 |

    #+name: benzene-chlorobenzene-relative-volatility
    #+begin_src octave :exports none :results output :var T=25 :var coeff=benzene-chlorobenzene-antoine-coefficients[2:-1,1:-1]
      format bank
      b=1; # row indices
      c=2;
      A=1; # column indices
      B=2;
      C=3;
      for i=1:2, p(i) = 10^(coeff(i,A) - coeff(i,B)/(T+coeff(i,C))); endfor
      alpha = p(b)/p(c);
      printf("%.2f", alpha);
    #+end_src

    - Picking a reasonable temperature, say $T=25\,^\circ C$, and using eq. \ref{eq:distillation-alpha}, gives a relative volatility of call_benzene-chlorobenzene-relative-volatility(T=25).
    - Now generate values of $y$ for values of $x \in [0,1]$ using eq. \ref{eq:distillation-vapour-composition}.