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The molarity of an aqueous solution that is 20.1 % by mass calcium chloride is 2.755 M

Further Explanation:

Molarity  

  • Molarity may be defined as the concentration of a solution in moles per liter. It is calculated by dividing the number of moles of a solution, n by its volume in liters, V.  
  • That is; Molarity = n/V, where n is the number of moles and V is the volume in liters.  
  • Therefore; when given the molarity of a solution and the volume of the solution, then we can get the number of moles, by multiplying the molarity by volume;  

Number of moles = Molarity x Volume

  • Additionally, the number of moles of a compound or an element can also be calculated by dividing the mass of the compound by its relative molecular mass.

In this case;

Assuming the sample of solution is 100.0 g by mass

Step 1: Mass of the solvent

Mass of the solute = 20.1/100 x (100 g)

                               = 20.1 g

Mass of solution = mass of solute + mass of solvent

Mass of solvent = 100 g - 20.1 g

                          = 79.9 g

Step 2: Volume of the solvent

Density = 1.2 g/ml

But; volume = mass/density

                    = 78.9 g/1.2 g/ml

                     = 65.75 ml  or 0.06575 L

Step 3: Moles of the solute, Calcium chloride

Mass of solute = 20.1 g

But 1 mole CaCl2 = 110.98 g/mol

Therefore;

Number of moles = 20.1 g/ 110.98 g/mol

                             = 0.1811 moles

Step 4: Molarity of CaCl2

Molarity = Number of moles/ Volume in L

             = 0.1811 moles/ 0.06575 L

             = 2.755 Mole/Liter

             = 2.755 M

Keywords: Molarity, Moles, Volume

Learn more about:  

  • Molarity: brainly.com/question/9324116
  • Relationship between moles, molarity and volume: brainly.com/question/9324116  

Level: High School

Subject: Chemistry

Chapter: Mole and stoichiometry equations