Ti metal reacts TiO$2$ with Cl$2$ in a vertical fluidized bed to produce TiCl$4($g$),$ which is obtained through substitution with Mg$,$ and this is called the Kroll process. The size of TiO$2$ powder is a minimum of $75$ micrometers and a maximum of $250$ micrometers. Find the range of the mass flow rate of chlorine gas that can be used in the fluidized bed. $($At this time, the temperature of the reactor is $1223$K$,$ the diameter of the reactor is $1\mathrm{.}2$m and the height is $10$m$.)$ chemical reaction : TiO$2($s$)+2$Cl$2($g$)=$Ti$4$Cl$4($g$)+$O$2($g$)$ DATA : density of Cl$2(\backslash$rho Cl$2)$ : $0\mathrm{.}772$ kg$/$m$^3,$ density of TiO$2(\backslash$rho TiO$2)$ : $4250$ kg$/$m$^3,$ Viscosity of Cl$2(\backslash$eta Cl$2)$: $4\mathrm{.}5$x$10^-5$ Pa $*$ sec at $1223$K