I need help on question a$,$b$,$c$,$d$.$ Some questions would be prefered to be solved in matlab and if an image of the code could be sent, I will leav an upvote. These are heat and mass transfer questions. Consider an open$-$top, well$-$mixed tank. At time $=0s,$ the contents are drained by gravity

through a circular hole at the bottom with area $A_1=0\mathrm{.}1m^2.$ Also at time $=0s,$ a stream

containing species $A$ at a concentration $C_{A0}=10mo\frac{l}{m^3}$ is pumped into the top of the tank

at a constant flow rate $F_{in}=0\mathrm{.}8\frac{m^3}{s}.$ The tank has a cross$-$sectional area $A_2=10m^2$ and

is initially filled with water at a height $h=5m.$ The initial concentration of species $A$ in the

tank is $0mo\frac{l}{m^3}.$

a$.$ Perform an overall mass balance on the liquid contents of the tank to derive an

equation for $d\frac{h}{d}t,$ the rate of change of the liquid level, as a function of Fin, A$2,$

$A1,h,$ and $g($the gravitational constant$).$ Assume that the velocity of the liquid level

in the tank $(v_2)$ is significantly less than the exit velocity of the fluid through the

drainage hole $(v_1).$ Assume that the density of the liquid is constant and unaffected

by the mixing of species $A.$

b$.$ Solve the differential equation in part a and plot $h$ as a function of time over the

interval $0t600$ seconds.

c$.$ Perform a mass balance on species $A$ to derive an equation for $dC\frac{A}{d}t$ as a

function of $F_{in},A_2,A_1,h,g,C_A$ and $C_{A0}.$ Solve this differential equation and plot $C_A$

as a function of time over the interval $0t600$ seconds. Also plot the total moles

in the system or $\{$:$A_2^{**}{h}^{**}CA)$ in a separate plot, using the same time interval.

d$.$ Is the assumption $v_1>v_2$ valid? Justify your answer.I needI