The FDA recommends that adults ingest less than 2.4 g of sodium per day. How many liters of softened water, containing a sodium concentration of 0.050% sodium by mass, have to be consumed to exceed the FDA recommendation? (Assume a density of 1.0 g>mL for water.)
literswater*.00050*1000g/liter=2.4g
solve for literswater.
To determine how many liters of softened water need to be consumed to exceed the FDA recommendation for sodium intake, we first need to calculate the amount of sodium in grams that corresponds to the recommended limit.
Given that the FDA recommends limiting sodium intake to less than 2.4 g, we know that consuming 2.4 g of sodium would be the upper limit.
Now we have to convert the concentration of sodium in the softened water from a percentage to a decimal. A sodium concentration of 0.050% can be expressed as 0.050/100 = 0.0005.
Next, we need to find out how many grams of sodium are present in 1 liter of the softened water. To do this, we multiply the concentration (0.0005) by the total mass (1.0 g/mL) of the water.
Grams of sodium per liter = 0.0005 x 1000 mL x 1.0 g/mL = 0.5 g
Now we can determine the number of liters needed to exceed the FDA recommendation by dividing the recommended limit (2.4 g) by the grams of sodium per liter (0.5 g):
Liters needed = 2.4 g / 0.5 g = 4.8 liters
Therefore, to exceed the FDA recommendation for sodium intake, one would need to consume more than 4.8 liters of softened water with a sodium concentration of 0.050% sodium by mass.