Question

A tank contains 2360 L of pure water. Solution that contains 0.06 kg of sugar per liter enters the tank at the rate 3 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.

(a) 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 mass of sugar in the solution that enters the tank per minute and then multiply it by the number of minutes.

Step-by-step explanation:

To find the amount of sugar in the tank at the beginning, we need to calculate the mass of sugar in the solution that enters the tank per minute and then multiply it by the number of minutes.

First, the solution entering the tank contains 0.06 kg of sugar per liter, and the rate is 3 L/min. This means that the mass of sugar entering the tank per minute is:
0.06 kg/L * 3 L/min = 0.18 kg/min

Therefore, the amount of sugar in the tank at the beginning can be found by multiplying the mass of sugar entering the tank per minute by the number of minutes:
0.18 kg/min * [number of minutes]