Question:

\(x\) ml of \(0.1\,M\) NaOH solution is diluted with distilled water to get \(250\) ml of \(0.01\,M\) solution. The value of \(x\) in ml is

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In dilution problems, use \(M_1V_1=M_2V_2\). The solution becomes less concentrated after dilution.
  • \(12.5\)
  • \(25\)
  • \(37.5\)
  • \(50\)
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The Correct Option is B

Solution and Explanation


Step 1:
For dilution, the number of moles before and after dilution remains constant. \[ M_1V_1=M_2V_2 \]

Step 2:
Given: \[ M_1=0.1\,M \] \[ V_1=x\,ml \] \[ M_2=0.01\,M \] \[ V_2=250\,ml \]

Step 3:
Substitute in the dilution formula: \[ 0.1 \times x = 0.01 \times 250 \]

Step 4:
Solve: \[ 0.1x=2.5 \] \[ x=\frac{2.5}{0.1} \] \[ x=25 \]

Step 5:
Therefore, the required volume is: \[ \boxed{25\,ml} \]
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