Question

During an experiment, the students were asked to prepare a 10% solution of sugar in water. Ramesh dissolved 10 g of sugar in 100 g of water while Sarika prepared it by dissolving 10 g of sugar in water to make 100 g of solution.
Are the two solutions of the same concentration?

Answer 1

Hint: Both the solution prepared by Ramesh and Sarika are done by mass percentage formula. In this formula mass of the solute is divided by the total mass of solute and solvent multiplied with 100. This formula determines the concentration of the formula.

Complete answer:Given
Mass of solute (sugar) used by Ramesh is 10 g.
Mass of solvent (water) used by the Ramesh is 100 g.
Mass of solute (sugar) used by Sarika is 10 g.
Mass of solution prepared by Sarika is 100 g.
The formula for calculating the mass percentage is shown below.
$mass\mathrm{\%}={\displaystyle \frac{massofsolute}{massofsolute+massofsolvent}}\times 100$
So ,Solution formed by Ramesh:
To find the mass percent substitute the values in the equation.
$\Rightarrow mass\mathrm{\%}={\displaystyle \frac{10g}{10g+100g}}\times 100$
$\Rightarrow mass\mathrm{\%}={\displaystyle \frac{10g}{110g}}\times 100$
$\Rightarrow mass\mathrm{\%}=9.09\mathrm{\%}$
The concentration of the solution is 9.09%.

Now Solution formed by Sarika:
To find the mass percent substitute the values in the equation.
$\Rightarrow mass\mathrm{\%}={\displaystyle \frac{10g}{100g}}\times 100$
$\Rightarrow mass\mathrm{\%}=10\mathrm{\%}$
The concentration of the solution is 10 %.
Therefore, by the calculation and value obtained it is clear that both the solutions are of different concentration.

Note:
The solution is formed by dissolving solute in the solvent. The substance which is added in the solvent is known as solute, the substance in which the solute is added is known as solvent and the combination of solute and solvent is known as solution.