(a) You have a stock solution of 14.8 M NH₃. How many milliliters of this solution should you dilute to make 1000.0 mL of 0.250 M NH₃?

Verified step by step guidance

1. Identify the type of problem: This is a dilution problem where you need to find the volume of a concentrated solution required to make a diluted solution.
2. Use the dilution equation: \( C_1V_1 = C_2V_2 \), where \( C_1 \) and \( V_1 \) are the concentration and volume of the stock solution, and \( C_2 \) and \( V_2 \) are the concentration and volume of the diluted solution.
3. Substitute the known values into the equation: \( C_1 = 14.8 \text{ M} \), \( C_2 = 0.250 \text{ M} \), and \( V_2 = 1000.0 \text{ mL} \).
4. Rearrange the equation to solve for \( V_1 \): \( V_1 = \frac{C_2V_2}{C_1} \).
5. Calculate \( V_1 \) using the rearranged equation to find the volume of the stock solution needed.