5. Bubble Point¶
The bubble-point temperature is the temperature of stage j at which the liquid mixture begins to boil.
Here, the pressure \(p\) and the mole fractions of the liquid, \(x_i\) will be known. We wish to find the temperature, \(T\), at which
\[\sum_i y_i = 1.0\]
The gas-phase mole fractions are calculated as
\[y_i = K_i(T) x_i\]
Where \(K_i\) comes from the equilibrium relationship that has been chosen.
The calculation results in finding the temperature that satisfies the stoichiometric equation
\[\sum_i y_i = \sum_i K_i (T) x_i = 1.0\]
The calculation is performed using the function below: