A constant-mole batch distillation is used to change from a pure nbutanol solvent to a solvent that is \(60.0 \mathrm{~mol} \% \mathrm{n}\)-butanol and \(40.0 \mathrm{~mol} \%\) water. If the initial charge is \(\mathrm{W}=2.0 \mathrm{kmol}\), how much water, \(\mathrm{S}\), must be added to achieve the desired solvent concentration? Do the integration with Simpson's rule, dividing the entire integration from 0.6 to 1.0 first into one step and then into two steps. Compare the answers.