A feed of one thousand kilograms aqueous solution of pyridine per hour $(50\%$ by mass$)$ is to be extracted with pure benzene to reduce the solute content in the raffinate to $2\%.$ Determine the number of ideal stages required if the solvent rate is $1\mathrm{.}3$ times the minimum.

Equilibrium data

$\backslash$table$[[$Equilibrium data$],[$Water layer,Benzene layer,$],[$Pyridine$,$ mass $\%,$Benzene, mass $\%,$Pyridine, mass$\%,$Benzene, mass$\%],[1\mathrm{.}17,0\mathrm{.}0,3\mathrm{.}28,94\mathrm{.}54],[3\mathrm{.}55,0\mathrm{.}0,9\mathrm{.}75,87\mathrm{.}46],[7\mathrm{.}39,0\mathrm{.}0,18\mathrm{.}35,79\mathrm{.}49],[13\mathrm{.}46,0\mathrm{.}15,26\mathrm{.}99,71\mathrm{.}31],[22\mathrm{.}78,0\mathrm{.}25,31\mathrm{.}42,66\mathrm{.}46],[32\mathrm{.}15,0\mathrm{.}44,34\mathrm{.}32,64\mathrm{.}48],[42\mathrm{.}47,2\mathrm{.}38,36\mathrm{.}85,59\mathrm{.}35],[48\mathrm{.}87,3\mathrm{.}99,39\mathrm{.}45,56\mathrm{.}43],[49\mathrm{.}82,4\mathrm{.}28,39\mathrm{.}27,55\mathrm{.}72],[56\mathrm{.}05,19\mathrm{.}56,48\mathrm{.}39,40\mathrm{.}05]]$