(Solved): A continuous fractionating column, operating at atmospheric pressure, is to be designed to sepa ...

A continuous fractionating column, operating at atmospheric pressure, is to be designed to separate a mixture containing 15.67 per cent ${\mathrm{CS}}_2$ and 84.33 per cent ${\mathrm{CCl}}_4$ into an overhead product containing 91 per cent ${\mathrm{CS}}_2$ and a waste of 97.3 per cent ${\mathrm{CCl}}_4$ all by mass. A plate efficiency of 70 per cent and a reflux of $3.16\mathrm{kmol}/\mathrm{kmol}$ of product may be assumed. Using the following data, determine the number of plates required. The feed enters at $290\mathrm{K}$ with a specific heat capacity of $1.7\mathrm{kJ}/\mathrm{kgK}$ and a boiling point of $336\mathrm{K}$. The latent heats of ${\mathrm{CS}}_2$ and ${\mathrm{CCl}}_4$ are $25.9\mathrm{kJ}/\mathrm{kmol}$.