Chapter 16, Problem 7P

A mixture of benzene and toluene are to be separated in a flash tank. At what temperature should the tank be operated to get the highest purity toluene in the liquid phase (maximizing $x_T$)? The pressure in the flash tank is 800 mm Hg. The units forAntoine's equation are mm Hg and $\circ C$ for pressure and temperature, respectively.

$x_B{P}_{\text{sat}B}+x_T{P}_{\text{sat}T}=P$

${\log }_{10}\left(P_{\text{sat}B}\right)=6.905-\frac{1211}{T+221}$

${\log }_{10}\left(P_{\text{sat}T}\right)=6.953-\frac{\begin{array}{l}13\\ 1344\end{array}}{T+219}$