50.0 g of sucrose (molar mass 342 g/mol) is dissolved in a total volume of 200. ml of solution. 10.0 ml of this solution is withdrawn and then diluted with water to a total volume of 50.0 ml. what is the molarity of sucrose in this final solution?



Answer :

According to molar concentration, the molarity of  sucrose in the final solution is 0.0584 M.

What is molar concentration?

Molar concentration is defined as a measure by which concentration of chemical substances present in a solution are determined. It is defined in particular reference to solute concentration in a solution . Most commonly used unit for molar concentration is moles/liter.

The molar concentration depends on change in volume of the solution which is mainly due to thermal expansion. Molar concentration is calculated by the formula, molar concentration=mass/ molar mass ×1/volume of solution in liters.

In terms of moles, it's formula is given as molar concentration= number of moles /volume of solution in liters.

Initially the molarity of sucrose is determined as, number of moles /volume of solution in liters which is 0.146/0.2=0.0292 moles and then molarity after dilution is determined as, M₁V₁=M₂V₂, on substitution M₂=0.0292×10/50=0.0584 M.

Thus, the molarity  of sucrose in this final solution is 0.0584 M.

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