Question

What volume in litres of a solution of hydrochloric acid containing $73$ g of acid per litre would be sufficient for the exact neutralization of sodium hydroxide obtained by allowing $0.46$ g of metallic sodium to act upon water?

• A. $5$
• B. $15$
• C. $10$
• D. $20$

Answer 1

The correct option is C $10$

The balanced reaction is as follows:

$2Na$ + $2H_{2}O$ $\to$ $2NaOH$ + $H_2$
Moles of metallic sodium $=$ $\frac{0.46}{23}=0.02$
Moles of $HCl=$ Moles of $NaOH$
Molarity $\times$ Volume $=$ Number of moles
$\frac{73}{36.5\times 1}\times V=0.02$ $⟹V=10$
Hence, volume of the solution required would be $10$ L.