Question

Calculate the molarity of sucrose if 10 grams of sucrose is dissolved in enough water to make a final volume of 500ml

Answer 1

molar mass of sucrose=342.3g

no of moles of sucrose= 10/342.3

=0.02 moles

vol= 0.5l

molarity= moles/volume

0.02/0.5

=0.2/5

=0.04molar

Answer 2

Concept:

The number of moles of solute present in a certain number of liters of the solution, or moles per liter of a solution, is known as molar concentration or molarity.

Given:

The mass of sucrose = 10 g

The final volume of the solution = 500 mL = 500 * 10⁻³ L = 0.5 L

Find:

Calculate the molarity of sucrose if 10 grams of sucrose is dissolved in enough water to make a final volume of 500mL.

Solution:

We know that the molarity of a solution can be calculated as:

M = number of moles of solute / Volume of solution in liters

The molar mass of sucrose is = 342.3 g/mol

The number of moles (n) can be calculated as:

n = Mass (m) / Molar mass (M)

n = 10 g / 342.3 g/mol

n = 0.029 mol

By substituting the number of moles of sucrose and the volume of the solution, the molarity can be calculated as:

Molarity = 0.029 mol / 0.5 L

= 0.0058 mol/L

= 0.0058 M

Hence, the molarity of sucrose, if 10 grams of sucrose is dissolved in enough water to make a final volume of 500mL, is 0.0058 M.

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