How do you solve this? Step by step please

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You are given a 1.275 ✕ 103 L sample of saltwater that contains 3.40 percent sodium chloride by weight. If the density of the water is 1.16 g/mL, calculate the total number of grams of sodium chloride in the sample. Be sure to answer using the correct number of significant figures. (Hint: the 3.40 percent means that there are 3.40 g of sodium chloride for every 100.0 g of saltwater)

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

Step 1. Convert 1.275x10^3 L to mL. 

             1 L = 1000 mL THEREFORE 1.275x10^3 L = 1.275x10^6 mL [4 sig figs]

Step 2. Calculate the grams of Saltwater using the density.

             1.275x10^6 mL x (1.16 g/mL) = 1.48x10^6 g Saltwater [4 sig figs x 3 sig figs = 2 sig figs]

Step 3. Set up a proportional statement to solve for X grams of sodium chloride:

              3.40 g sodium chloride / 100 g saltwater = X g sodium chloride / 1.48x10^6 g saltwater

              X g sodium chloride = 3.40 g sodium chloride x 1.48x10^6 g saltwater / 100 g saltwater

              X g sodium chloride = 5.03x10^4 g sodium chloride  [3 sig figs]       

 


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Sep 16th, 2015

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