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

Answer:

4423.08 L

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:

$2300mg=2.3g\\\\\frac{2.3g}{5.2x10^{-4}g/L} =4423.08 L$