Question

You wish to dilute some chemical with a diluting agent. You have 50mL of chemical, and the ratio must be 1:55 (chemical: agent). The diluting agent is kept in three sizes 1Litre, 5 Litres, and 10 Litres. You have to carry it to the mixing station, which is 300 meters away, so you want to carry the smallest size that will do the job.

Using a quick estimate, which container would you take? (show rough workings)

A) 1 Litre
B) 5 Litres
C) 10 Litres
D) Not enough information.

Answer 1

B) 5 Litres. To achieve a 1:55 ratio when diluting the chemical, you would need to carry the 5 Litres container.

Step-by-step explanation:

To determine which container size to take, we need to calculate the volume of the diluting agent required for the desired ratio of 1:55. Since we have 50mL of the chemical, the volume of the diluting agent needed is 55 times that, which is 2750mL. Now, let's convert this to liters by dividing by 1000 (since there are 1000 mL in 1 L): 2750mL ÷ 1000 = 2.75 L.

Since the mixing station is 300 meters away, it would be most convenient to carry the smallest container size that can hold at least 2.75 L. The 1 Litre container is too small, so we would need to take the 5 Litres container. Therefore, the correct answer is B) 5 Litres.