We are given a tank with an initial chlorine concentration of 0.0125 g/L in 1600 L of water. Fresh water is pumped into the tank at a rate of 16 L/s, and the mixture is pumped out at a rate of 40 L/s. The mixture is well-stirred, so the concentration of chlorine in the tank is uniform at all times.

We are tasked with finding the amount of chlorine $y(t)$ in grams as a function of time $t$ in seconds.

Step 1: Setting up the differential equation

Let:

• $y(t)$ represent the amount of chlorine (in grams) in the tank at time $t$,
• The volume of water decreases at a rate of $40 - 16 = 24 \, \text{L/s}$, so after $t$ seconds, the volume in