Question

A solution contains sugar dissolved in $150g$ of water. If mass of the solution is $200g$, calculate the concentration in terms of mass by mass percentage of the solution.

• A. $10\%$
• B. $25\%$
• C. $50\%$
• D. $75\%$

Answer 1

The correct option is B $25\%$

Given:
Mass of solution $=200g$
Mass of solvent (water) $=150g$
To find: Concentration in terms of mass by mass.
Mass of solution = Mass of solute (sugar) + Mass of solvent (water)
Therefore,
Mass of solute (sugar) = Mass of solution - Mass of solvent (water)
Hence, Mass of solute $=200g-150g$
$\Rightarrow$ Mass of solute $=50g$
We know that, Concentration (mass by mass percentage) of solution $=\frac{Massofsolute}{Massofsolution}\times 100=\frac{50}{200}\times 100$
$=25\%$