It is desired to use ultrafiltration for $800kg$ of solution containing $0\mathrm{.}05wt\%$ of a protein to obtain a solution of $1\mathrm{.}10wt\%.$ The feed is recirculated past the membrane with a surface area of $9\mathrm{.}90m^2.$ The permeability of the membrane is $A_W=2\mathrm{.}50{10}^{-2}k\frac{g}{s}m.$ atm. Calculate the final amount of solution and the time to achieve this, using a pressure difference of $0\mathrm{.}50$atm. Neglect the effects of concentration polarization.