Answer:
13.3 mL
Step-by-step explanation:
To make a 1.00 M solution of HCl from a 15.0 M concentrated solution, we can use the dilution formula:
M1V1 = M2V2
∴ M1 is the initial concentration, V1 is the initial volume, M2 is the final concentration, and V2 is the final volume.
We are given:
M1 = 15.0 M (concentrated HCl solution)
V1 = unknown
M2 = 1.00 M (desired final concentration)
V2 = 200 mL (desired final volume)
Plugging in these values, we get:
15.0 M x V1 = 1.00 M x 200 mL
Simplifying and solving for V1, we get:
V1 = (1.00 M x 200 mL) / 15.0 M
V1 = 13.3 mL (rounded to three significant figures)
Therefore, we need to measure 13.3 mL of concentrated HCl and then add enough water to bring the total volume up to 200 mL to make a 1.00 M solution.