Answer
The solution must be diluted to 6.0 L
Work Step by Step
1. Write the dilution expression, and solve for $V_2$, since we want to know the final volume.
$C_1 \times V_1 = C_2 \times V_2$
$\frac{C_1 \times V_1}{C_2} = V_2$
2. Substitute the given values into the expression:
$\frac{(12 \space M ) \times (50.0 \space mL)}{0.100 \space M} = V_2$
$6.0 \times 10^3 \space mL = V_2$
- Converting to Liters:
$6.0 \times 10^3 \space mL \times \frac{1 \space L}{1000 \space mL} = 6.0 \space L$
Thus, the solution must be diluted to 6.0 L
