Question $7$

$3$ pts

A Tank initially contains a $200$ gal of a Brine solution with a concentration of $0\mathrm{.}01l\frac{b}{g}al.$ The Tank is to be rinsed with fresh water flowing in at a rate of $5ga\frac{l}{m}in.$ The wellstirred solution flowing out at a rate of $3ga\frac{l}{m}in.$ Setup an initial value problem to model this flow, but do not solve the equation.

Assume that $Q(t)$ is the amount of salt in the tanks at any time $t$

Assume $V(t)$ is the volume of mixture in the tank at any given time $t$ What is the value of:

Rin $=,$ Cin$=$

Rout $=,Q(0)=V(0)=$ and $V(5)=.$

Setup an initial value problem to model this flow and upload your work to