Answer
The final volume of the $NaOH$ solution is equal to 231 mL.
Work Step by Step
1. Find the necessary volume:
$C_1 * V_1 = C_2 * V_2$
$ 12.0 M* 100mL= 5.2M * V_2$
$ 1200 mL= 5.2 * V_2$
$V_2 = \frac{1200mL}{5.2} = 231 mL$
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