Taking into account the definition of molarity, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.
Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:
[tex]Molarity=\frac{number of moles}{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].
In this case, you know:
Replacing in the definition of molarity:
[tex]0.600 M=\frac{number of moles}{0.400 L}[/tex]
Solving:
number of moles= 0.600 M× 0.400 L
number of moles= 0.24 moles
Being the molar mass of sodium chloride 58.45 [tex]\frac{g}{mole}[/tex], that is the amount of mass that a substance contains in one mole, the mass of sodium chloride can be calculated as:
0.24 moles×58.45 [tex]\frac{g}{mole}[/tex]= 14.028 grams
Finally, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.
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