A laboratory filtration study is to be carricd out at constant rate. The basic equation (Cook, 1984) equation: tf=[PcA2/M2c]xcexp(axc+b)Lelc1=PcA2/M2ctf=c1exp(axc+b)(1axc)tf+=ac1(2axc)exp(axc+b) Newton method gives xck+1=xck(if,lf) where tf= time to build up filter cake, min Pc= pressure drop across cake, psig (20) A= filtration area, ft2(250) = filtrate viscosity, centipoise (20) M= mass flow of filtrate, 1bm/min(75) c= solids concentration in feed to filter, Ibm/lbwe filtrate (0.01) xc= mass fraction solids in dry cake a= constant relating cake resistance to solids fraction (3.643) h= constant relating cake resistance to solids fraction (2.680) =3.2108(lbuift2)2 Numerical values for each parameter are given in parentheses. Obtain the maximum time for filtration as a function of xc by a numerical unidimensional search