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.)
0.050% means 0.050 g Na/100 g H20 = 0.050g Na/100 mL = 0.50 g Na/L.
0.50g Na/L x ?mL = 2.4g
To find out how many liters of water with a sodium concentration of 0.050% by mass need to be consumed to exceed the FDA recommendation of 2.4 g sodium per day, we can follow these steps:
Step 1: Calculate the mass of sodium that exceeds the FDA recommendation.
To do this, multiply 2.4 g by 1000 to convert it to milligrams: 2.4 g * 1000 mg/g = 2400 mg.
Step 2: Determine the mass of the water required to exceed the FDA recommendation.
The mass of water can be calculated using the formula: mass = volume * density.
Given that the density of water is 1.0 g/mL, we can determine the volume of water required to exceed the FDA recommendation by rearranging the formula: volume = mass / density.
Substituting the values, we have: volume = 2400 mg / (1.0 g/mL) = 2400 mL.
Step 3: Convert the volume from milliliters to liters.
To convert milliliters to liters, divide the volume by 1000: 2400 mL / 1000 = 2.4 liters.
Therefore, to exceed the FDA recommendation of consuming less than 2.4 g of sodium per day, one would need to consume at least 2.4 liters of softened water with a sodium concentration of 0.050% by mass.