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Question: Answered & Verified by Expert
The volume of water to be added to $\frac{N}{2} \mathrm{HCl}$ to prepare $500 \mathrm{~cm}^{3}$ of $\frac{N}{10}$ solution is
ChemistrySome Basic Concepts of ChemistryCOMEDKCOMEDK 2013
Options:
  • A $450 \mathrm{~cm}^{3}$
  • B $100 \mathrm{~cm}^{3}$
  • C $45 \mathrm{~cm}^{3}$
  • D $400 \mathrm{~cm}^{3}$
Solution:
1988 Upvotes Verified Answer
The correct answer is: $100 \mathrm{~cm}^{3}$
Moles of $\mathrm{HCl}=\frac{1}{2} \times V \quad\left\{\frac{N}{2} \mathrm{HCl}\right\}$
For preparing $\frac{N}{10}$ solution,
$$
\begin{aligned}
& \frac{1}{10}=\frac{\frac{1}{2} \times V}{500} \\
\therefore \quad V &=\frac{1000}{10}=100 \mathrm{~cm}^{3}
\end{aligned}
$$

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