It is required precipitate a protein contained in $1000$ liters of aqueous solution at $30\backslash$deg C in a tank at a concentration of $1$ g$/$liter$.$ The protein is a globular protein with a molecular weight of $500,000$ and a diffusion coefficient of $3\backslash$times $10)$ cms at $30$C$.$ Calculate the power required to achieve a concentration of nuclei relative to the initial number of protein molecules at $2\mathrm{.}83*10^-8$ nuclei$/$molecule at the end of the "initial mixing" period of $13\mathrm{.}18$ seconds.