Demonstrate with explanation and detail that the answers is $1247$ kg$/$h$.$

${3\mathrm{.}26}^b.$ Kremser equations: extraction of acetic acid with $3-$heptanol

An aqueous acetic acid solution flows at the rate of $1000\frac{kg}{h}.$ The solution is $1\mathrm{.}1$ wt$\%$ acetic acid. It is desired to roduce the concentration of this solution to $0\mathrm{.}037$ wt$\%$ acetic acid by extraction with $3-$heptanol at $298K.$ For practical purposes, water and $3-$heptanol are immiscible. The inlet $3-$heptanol contains $0\mathrm{.}02$ wt$\%$ acetic acid. An extraction column is available which is equivalent to a countercurrent cascade of $35$ equilibrium stages. What solvent flow rate is

required? Calculate the composition of the solvent phase leaving the column. For

this system and range of concentrations, equilibrium is given by $($Wankat$,1988)$

wt ratio acetic acid in solvent $=0\mathrm{.}828$ wt ratio acetic acid in water

Answer: $1247k\frac{g}{h}$