Question

An aqueous solution of $NaOH$ having density $1.1$ $kg/{dm}^3$ contains $0.02$ mole fraction of $NaOH$. Volume of water required to prepare $1$ litre of $0.5$ M solution of $NaOH$ from the given solution of $NaOH$ is :

• A. 336 mL
• B. 118 mL
• C. 653 mL
• D. 581 mL

Answer 1

The correct option is D 581 mL

$\begin{array}{c}\text{Meq of dilute solution = Meq of conc solution}\\ \begin{array}{cc}1000\times 0.5& =V\times 1.193\\ V& =419.1\\ \text{Volume of water}& =1000-419.1=580.9ml\end{array}\end{array}$