$(10$ Marks$)$ A large container initially has $10Lof$ water containing $1kgof$ salt $at$ time $t=0.$ A constant inflow $of$ flow rate $Q_{in}=3\frac{L}{m}in$ with salt concentration $of{c}_{in}=0\mathrm{.}1k\frac{g}{L}is$ added $to$ the container. Suppose that the salt water $is$ well mixed instantly, and discharged $at$ flow rate $Q_{\text{o}\text{u}\text{t}}=2\frac{L}{m}in.$ Determine the amount $of$ salt $s(t)in$ the container $at$ time $t0.$