Question

Calculate the concentration i.e., $\%\left(w/v\right)$ of the solution ($BaC{l}_2\text{in}{H}_{2}O$). If $10\text{g}$ of $BaC{l}_2$ is dissolved in $90\text{g}$ of water. The density of the solution is $1.09\text{g/mL}$.

• A. $10.90\%$
• B. $9.17\%$
• C. $1.09\%$
• D. $0.91\%$

Answer 1

The correct option is A $10.90\%$

$\text{Mass of the solution}=10\text{g + 90 g}$ $=100\text{g}$
We know that:
$Density=\frac{Mass}{Volume}$

$Volume=\frac{Mass}{Density}$

$Volume=\frac{100\text{g}}{1.09\text{gmL}}=91.74\text{mL}$

$\%\left(w/v\right)=\frac{\text{mass of the solute in g}}{\text{volume of the solution in mL}}\times 100=\frac{10}{91.74}\times 100=10.90\%$