(Solved): where d is the particle diameter and is the viscosity of the liquid (0.001Pas). 1.9F moles ...

where $d$ is the particle diameter and $\mu$ is the viscosity of the liquid $(0.001\mathrm{Pa}\cdot \mathrm{s})$. $1.9F$ moles per hour of an $n$-component natural gas stream is introduced as feed to the flash vaporization tank shown in Fig. P1.9. The resulting vapor and liquid streams are withdrawn at the rate of $V$ and $L$ moles per hour, respectively. The mole fractions of the components FIG. P1.9 Flash drum. PROBLEMS 51 in the feed, vapor, and liquid are designated by $z_i,y_i$, and $x_i$, respectively $(i=1,2,\dots ,n)$. Assuming vapor-liquid equilibrium and steady state operation, we have: Overall balance: Individual component balances: Equilibrium relations: $\begin{array}{ll}F=L+V& \\ z_{i}F=x_{i}L+y_{i}V& i=1,2,\dots ,n\\ K_i=y_i/x_i& i=1,2,\dots ,n\end{array}$ Here, $K_i$ is the equilibrium constant for the $i$ th component at the prevailing temperature and pressure in the tank. From these equations and the fact that: ${\sum }_{i=1}^n{x}_i={\sum }_{i=1}^n{y}_i=1$ derive the following equation: ${\sum }_{i=1}^n\frac{z_i{K}_{i}F}{V\left(K_i-1\right)+F}=1$