in this calculation.

A kitchen sink has a volume of $15L.$ If the drain is closed and the sink is initially

empty, plot the volume of water in the sink as a function of time. How long will it

take to overflow the sink after the faucet is open, allowing a flow rate of $0\mathrm{.}3\frac{L}{m}in?$

Re$-$answer the previous problem, but assume that the drain is partially opened

$10$ minutes after the water flow starts, allowing water to flow out at constant rate

of $0\mathrm{.}1\frac{L}{m}in.$

For the sink in the previous two problems, assume that the drain is partially open,

such that the rate of flow out of the sink is proportional to the amount of water in

the sink: $V_{\text{o}\text{u}\text{t}}^{}=1V.$ Find an equation for the volume of water in the sink as a

function of time.

Assume that the sink of the previous problems is operating with the following

steady$-$state conditions: The volume of water in the sink is $5L,$ and water is flowing into and out if the sink at a steady rate of $0\mathrm{.}3$ L$/$min a quanitity of dye molecule $20$ g is rapidly added to the volume in the sink plot the concentration of dye molecule in the sink as a function of time after its rapid introduction. I only need $4$ and $5$ thank you