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The molar mass of KCl is 74.55 g/mol. If 8.45 g KCl are dissolved in 0.750 L of solution, what is the molarity of the solution?

0.113 M

0.151 M

6.62 M

11.3 M

Verified Answer :

transitionstate

Answer:

                  Molarity  =  0.1516 mol.L⁻¹

Solution:

             Molarity is the amount of solute dissolved per unit volume of solution. It is expressed as,

                         Molarity  =  Moles / Volume of Solution    ----- (1)

Data Given;

                  Mass  =  8.45 g

                  Volume  =  0.750 L

Step 1: Calculate Moles for given mass as,

                   Moles  =  Mass / M.mass

                   Moles  =  8.45 g / 74.55 g.mol⁻¹

                   Moles  =  0.1133 mol

Step 2: Calculating Molarity:

Now, putting value of Moles and Volume in eq. 1,

                        Molarity  =  0.1133 mol ÷ 0.750 L

                        Molarity  =  0.1516 mol.L⁻¹

Molar concentration or molarity is defined as the ratio of moles of a solute dissolved in the given volume of the solvent.

How do you calculate the molarity using the formula?

Given:

  • Molar mass of Potassium Chloride = 74.55 g/mol
  • Given the mass of Potassium Chloride = 8.45 g
  • The volume of the solution = 0.750 L

Now, to calculate the number of moles, we get:

\(\rm Moles &=\dfrac{Mass}{Molar Mass}\\\\\\Moles &= \dfrac{8.45}{74.55}\\\)

Moles = 0.113 mol

Then, the molarity of the solution will be:

\(\rm Molarity &= \dfrac{number \; of \; moles}{Volume\;of \; Solution}\\\\\\\rm Molarity &= \dfrac{0.113}{0.151}\)

Molarity = 0.1516 mol/L

Thus, the molarity of the given solution is 0.1516 mol/L. The correct answer is Option B.

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