Atank with a capacity of 800 l is full of a mixture of water and chlorine with a concentration of 0.025 g of chlorine per liter. in order to reduce the concentration of chlorine, fresh water is pumped into the tank at a rate of 8 l/s. the mixture is kept stirred and is pumped out at a rate of 20 l/s. find the amount of chlorine in the tank as a function of time. (let y be the amount of chlorine in grams and t be the time in seconds.)

The amount of chlorine in the tank as a function of time is

Step-by-step explanation:

Let y(t) be the amount of chlorine in grams and t be the time in seconds.

From the information given,

The main equation that we will be using to model this situation is:

Rate of change of = Rate of Cl in - Rate of Cl out where

Rate of Cl in = (flow rate of liquid entering) x (concentration of chlorine (Cl) in liquid entering)

Rate of Cl out = (flow rate of liquid exiting) x (concentration of chlorine (Cl) in liquid exiting)

Using the initial condition y(0) = 20

Substituting

three-fourths of an hour

36÷48=0.75

0.75=