Final answer:
To prepare 100.0 mL of a 2.0 M NaOH solution from a 4.5 M NaOH solution, approximately 44.44 mL of the 4.5 M NaOH solution is required using the dilution equation.
Step-by-step explanation:
The question is asking to calculate the volume of a 4.5 M NaOH solution needed to prepare 100.0 mL of a 2.0 M NaOH solution. To solve this, we use the dilution equation C1V1 = C2V2, where C1 is the concentration of the starting solution, V1 is the volume of the starting solution, C2 is the concentration of the final solution, and V2 is the volume of the final solution. Plugging the values in, we have (4.5 M)(V1) = (2.0 M)(100.0 mL), simplifying to V1 = (2.0 M)(100.0 mL) / (4.5 M). After performing the calculation, we find that the volume (V1) needed is approximately 44.44 mL of the 4.5 M NaOH solution to make 100 mL of a 2.0 M NaOH solution.