The U.S. Food and Drug Administration (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 6.0×10−2 percent sodium by mass, have to be consumed to exceed the FDA recommendation? (Assume a water density of 1.0 g/ml).

Question

The U.S. Food and Drug Administration (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 6.0×10−2 percent sodium by mass, have to be consumed to exceed the FDA recommendation? (Assume a water density of 1.0 g/ml).

Answer 1

0.06% Na = 0.0006 g Na/mL (since the density is 1.0 g/mL).

So 0.0006 g Na/mL x ?? mL = 2.4 g Na.
Solve for mL and convert to L.
Check my thinking.

Answer 2

An isotonic solution contains 0.88% NaCl by mass per volume. Calculate the percent mass per volume for isotonic solutions containing each of the following solutes at 15 degrees C. Assume a van't Hoff factor of 1.9 for all ionic solutes.

KCL
NaBr
Glucose

Answer 3

To solve this problem, we need to calculate the amount of sodium in the softened water and determine if it exceeds the FDA recommendation.

First, let's calculate the amount of sodium in the softened water in grams per liter.

Given:
Sodium concentration = 6.0×10^(-2) percent sodium by mass

To convert to a decimal, we divide by 100:
Sodium concentration = 6.0×10^(-2) / 100

Next, we need to convert the sodium concentration to grams per liter. Since the water density is 1.0 g/ml, 1 liter of water weighs 1000 grams.

Sodium in grams per liter = sodium concentration * water density
Sodium in grams per liter = (6.0×10^(-2) / 100) * 1000
Sodium in grams per liter = 6.0×10^(-2) * 10
Sodium in grams per liter = 6.0×10^(-1) grams

Now that we have the sodium content per liter of softened water, we can determine the amount of water needed to exceed the FDA recommendation.

FDA recommendation = 2.4 grams of sodium per day

The question asks for the amount of water needed to exceed the recommendation. To do this, we can set up the following equation:

Amount of water (in liters) * sodium in grams per liter > FDA recommendation

Let's solve this equation:

Amount of water (in liters) * 6.0×10^(-1) grams > 2.4 grams
Amount of water (in liters) > 2.4 grams / (6.0×10^(-1) grams)
Amount of water (in liters) > 4

Therefore, to exceed the FDA recommendation of 2.4 grams of sodium per day, you would need to consume more than 4 liters of softened water with a sodium concentration of 6.0×10^(-2) percent sodium by mass.