If molarity moles/liter, then how many grams of NaCl are needed to make 3.550 liter of a 1.30 M solution?

1 Answer
Nov 22, 2016

Answer:

#"270. g"#

Explanation:

Molarity is indeed defined as moles of solute per liter of solution, but it can also be expressed as grams of solute per liter of solution.

As you know, a #"1 M"# solution contains exactly #1# mole of solute in #"1 L"# of solution.

In your case, a #"1.30 M"# sodium chloride solution will contain #1.30# moles of sodium chloride, the solute, for every #"1 L"# of solution.

You can use the molar mass of sodium chloride to convert this to grams of sodium chloride for every #"1 L"# of solution.

#1.30 color(red)(cancel(color(black)("moles NaCl"))) * "58.44 g"/(1color(red)(cancel(color(black)("mole NaCl")))) = "75.97 g"#

You can now say that a #"1.30 M"# sodium chloride solution must contain #"75.97 g"# of sodium chloride for every #"1 L"# of solution. Now all you have to do is use this concentration to figure out how many grams would be needed to make your sample

#3.550 color(red)(cancel(color(black)("L solution"))) * "75.97 g NaCl"/(1color(red)(cancel(color(black)("L solution")))) = color(darkgreen)(ul(color(black)("270. g NaCl")))#

The answer is rounded to three sig figs.