Absolute or $100\%$ ethanol is produced from a mixture of $90\%$ ethanol and $10\%$ water using the $($Keyes$)$ distillation process. A third component, benzene, is added to lower the volatility of the alcohol. Under these conditions, the overhead product is a constant$-$boiling mixture of $13\mathrm{.}4\%$ ethanol, $18\mathrm{.}6\%H_{2}O,$ and $68\%$ benzene. Calculate the volume of benzene that should be fed to the still in order to produce $370$ litres of absolute ethanol.

alcohol