Answer to Question #228992 in General Chemistry for Moe

Question

16. What is the concentration of sodium chloride reported as % by mass in an

aqueous solution that is 2.23 M, and that has a density of 1.01 g mL−1?

A. 2.21

B. 12.9

C. 7.83

D. 45.3

E. 10.1

Answer 1

2.23 M aqueous solution of NaCl means there are 2.23 moles of NaCl in 1000 mL of solution.

We know that density is equal to ratio of mass to volume.

Here density of solution is 1.01 g/mL.

So mass of 1000 mL solution = (1.01 × 1000) = 1010

molar mass of NaCl = 58.44 g/mol

So mass of 2.23 moles of NaCl = (

= g = 130.3 g

% by mass is ratio of mass of solute to mass of solution and then multiplied by 100.

Here solute is NaCl.

So % by mass of 2.23 M aqueous solution of NaCl = 2.23 × 58.44 g = 130.3 g

% by mass is ratio of mass of solute to mass of solution and then multiplied by 100.

Here solute is NaCl.

So % by mass of 2.23 M aqueous solution of NaCl =

= 12.90%