Consider a large tank holding 1000 L of pure water into which a brine solution of salt begins to owat a constant rate of 6L/min. The solution inside the tank is kept well stirred and is owing out ofthe tank at a rate of 6L/min. If the concentration of salt in the brine entering the tank is 0.1 kg/L, determine when the concentration of salt in the tank will reach 0.05 kg/L.

T = 693.147 minutes

Explanation:

The tank is being continuously stirred. So let the salt concentration of the tank at some time t be x in units of kg/L.

Therefore, the total salt in the tank at time t = 1000x kg

Brine water flows into the tank at a rate of 6 L/min which has a concentration of 0.1 kg/L

Hence, the amount of salt that is added to the tank per minute =

Also, there is a continuous outflow from the tank at a rate of 6 L/min.

Hence, amount of salt subtracted from the tank per minute = 6x kg/min

Now, the rate of change of salt concentration in the tank =

So, the rate of change of salt in the tank can be given by the following equation,

or,

or, T = 693.147 min      (time taken for the tank to reach a salt concentration

of 0.05 kg/L)

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

not moving. pos accel,