Question

A tank contains 1340 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 6 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.

How much sugar is in the tank at the begining?

Answer 1

To find the amount of sugar in the tank at the beginning, we need to calculate the total amount of sugar solution that enters the tank per minute. The total amount of sugar in the tank at the beginning is 0.24 kg.

Step-by-step explanation:

To find the amount of sugar in the tank at the beginning, we need to calculate the total amount of sugar solution that enters the tank per minute. We know that the solution contains 0.04 kg of sugar per liter and enters the tank at a rate of 6 L/min. So, the amount of sugar solution entering the tank per minute is: 0.04 kg/L x 6 L/min = 0.24 kg/min. Since the tank contains 1340 L of pure water, the sugar solution entering the tank will mix with this water. Therefore, the total amount of sugar in the tank at the beginning is: 0.24 kg/min x 1 min = 0.24 kg.