Particle setting in a batch reactor

Consider an unstirred batch reactor. The reactor is in the shape of a right circular cylinder with a

vertical axis. The volume is $V=30L$ and the height is $H=70cm.$ The reactor is filled with

water. Suspended in the water are particles of two sizes. The initial condition $($at time $t=0)$ has

all of the particles of each size uniformly suspended throughout the reactor. For $t>0,$ the

particles settle to the bottom of the reactor with their respective settling velocities. The data in

the following table define the particles in the system.

a$.$ The total mass of particles suspended in the water is initially $200mg.$ Plot the mass of

particles that remain suspended, $m,$ as a function of time for $J_{s}t0\mathrm{.}0.$

$b.$ Compute the particle mass flux $(mass$ per area per time $--$ remember the sign indicates

the direction $of$ the flux$)$ that $is$ attributable $to$ settling $to$ the bottom $of$ the reactor versus

time. Show your results $as$ a plot $of{J}_s$ versus $t$ for $0.$

Please show all steps and work. Will give thumbs up if correct!