In a laboratory, silica $($SiO$2)$ nanoparticles $(500$ nm$)$ were synthesized in aqueous solution. The total massof the solution $($F$)$ was $100$ g$,$ with the concentration of $30\%$ SiO$2.$ Research intern uses the centrifuge toseparate the SiO$2$ nanoparticles from the water. After centrifugation, the concentrated SiO$2$ solution wascollected as a product $($P$)$ and the rest of the feed was removed as a waste $($W$).$ Molar ratio between SiO$2$ andwater in the product is $4$ to $1.$ The waste stream contains $5\%$ SiO$2$ nanoparticles.