# how many liters of water containing a sodium concentrate of 0.050% sodium by mass must be ingested to consume more than 2.4g of sodium per day?Please show work.

pixiedust925 | Student, Undergraduate | (Level 2) eNoter

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2.4g Na(100gsoln/0.05g Na) (1ml/1g) (1L/1000ml) = 4.8 Liters

First you take the 2.4 g that is given and find out how much solution that is using the mass percent 0.05%. You get the grams of water but you want the volume so you used density of water and convert what you get into liters.

baystation | (Level 1) eNoter

Posted on

This problem involves percent concentration by mass.

You have a solution that is 99.95% water and 0.050% sodium by mass.

First, you need to weigh a liter of your solution.  Let’s say your solution weighs 1000g.

1000*0.9995=999.50g of water per liter

1000*0.00050=0.50g of sodium per liter

To find the number of liters you need to consume to ingest at least 2.4g of sodium, simply divide 2.4 by 0.5 to get 4.8 liters of solution.

When looking to create a solution, use this formula for percent concentration by mass: mass solute/mass solutionX100.

Hope this helps!