Taking into account the definition of molarity, you would measure out 72.732 g of K₂SO₄ to prepare 550 ml of a 0.76 M solution.
Definition of molarity
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}{liters}[/tex].
Mass of K₂SO₄
In this case, you prepare 550 ml of a 0.76 M solution. This is, you know:
- Molarity= 0.76 M
- number of moles= ?
- volume= 550 mL= 0.550 L
Replacing in the definition of molarity:
[tex]0.76 M=\frac{number of moles}{0.550 L}[/tex]
Solving:
number of moles= 0.76 M × 0.550 L
number of moles= 0.418 moles
Being the molar mass of K₂SO₄ 174 [tex]\frac{g}{mole}[/tex], that is, the amount of mass that the compound contains in one mole, the mass contained in 0.418 moles is calculated as:
0.418 moles×174 [tex]\frac{g}{mole}[/tex]= 72.732 g
Finally, you would measure out 72.732 g of K₂SO₄ to prepare 550 ml of a 0.76 M solution.
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