Answer
The final volume of that $NaOH$ solution is equal to $6.0 \times 10^2 \space mL.$
Work Step by Step
1. Write the dilution expression, and rearrange it to solve for "$V_2$":
$C_1V_1 = C_2V_2$
- Divide both sides by "$C_2$":
$\frac{C_1V_1}{C_2} = V_2$
$ V_2 = \frac{C_1V_1}{C_2}$
2. Substitute the given values, and calculate the value of the final volume.
$ V_2 =\frac{(12 \space M)(50.0 \space mL)}{1.0 \space M}$
$V_2 = 6.0 \times 10^2 \space mL$