Question:
\(x\text{ ml}\) of \(0.1M\) NaOH solution is diluted with distilled water to get \(250\text{ ml}\) of \(0.01M\) solution. The value of \(x\) in ml is
\(x\text{ ml}\) of \(0.1M\) NaOH solution is diluted with distilled water to get \(250\text{ ml}\) of \(0.01M\) solution. The value of \(x\) in ml is
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For dilution, use \(M_1V_1=M_2V_2\). The amount of solute remains constant during dilution.
Updated On: May 7, 2026
- \(12.5\)
- \(25\)
- \(37.5\)
- \(50\)
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The Correct Option is B
Solution and Explanation
This is a dilution problem.
In dilution, the number of moles before dilution and after dilution remains same.
Therefore, we use:
\[
M_1V_1=M_2V_2.
\]
Here,
\[
M_1=0.1M,
\]
\[
V_1=x\text{ ml},
\]
\[
M_2=0.01M,
\]
and
\[
V_2=250\text{ ml}.
\]
Substitute in the formula:
\[
0.1\times x=0.01\times 250.
\]
\[
0.1x=2.5.
\]
Now divide both sides by \(0.1\):
\[
x=\frac{2.5}{0.1}.
\]
\[
x=25.
\]
Hence, the required volume is:
\[
25\text{ ml}.
\]
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