Question

How many liters of softened water, containing a sodium concentration of 5.2×10−2 % sodium by mass, have to be consumed to exceed the FDA recommendation? (Assume a water density of 1.0 g/mL.)

Answer 1

4423.08 L

Step-by-step explanation:

First we need to know the concentration of sodium per litre (as the density is 1 g/L, 1 g of water is the same that 1 mL of water) of softened water by dividing the percentage in 100:

`5.2x10^(-4)g/L`

With the value of concentration, we just need to to divide the recommended value of the FDA, that is 2300 milligrams per day, into the concentration that we have, therefore:

`2300mg=2.3g\\\\(2.3g)/(5.2x10^(-4)g/L) =4423.08 L`