The volume of water must be added to 100 mL of 0.5 M NaOH solution to get 0.2 M solution is

# The volume of water must be added to 100 mL of 0.5 M NaOH solution to get 0.2 M solution is

1. A
50 mL
2. B
100 mL
3. C
150 mL
4. D
200 mL

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### Solution:

Solution - I  (Initial or before dilution)

Solution – II (Final after dilution)

Volume of  NaOH solution

Volume of NaOH $={\text{V}}_{2}$

According to Dilution Law,

${\text{M}}_{1}{\text{V}}_{1}={\text{M}}_{2}{\text{V}}_{2}$

The final volume of NaOH is

${\text{V}}_{2}=\frac{{\text{M}}_{1}{\text{V}}_{1}}{{\text{M}}_{2}}=\frac{0.5×100}{0.2}=250\text{mL}$

Volume of water to be added

$=250-100$

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