To calculate the volume of concentrated HNO3 and water needed to prepare a 0.1 M HNO3 solution from a concentrated 13 M HNO3 solution, we can use the formula:
C1V1 = C2V2
Where: C1 = Concentration of the concentrated HNO3 solution (13 M) V1 = Volume of concentrated HNO3 solution needed C2 = Concentration of the diluted HNO3 solution (0.1 M) V2 = Final volume of the diluted HNO3 solution (500 mL)
Let's solve for V1, the volume of the concentrated HNO3 solution needed:
(13 M)(V1) = (0.1 M)(500 mL)
V1 = (0.1 M)(500 mL) / 13 M
V1 ≈ 3.846 mL
Therefore, approximately 3.846 mL of concentrated HNO3 solution is required.
Now, to find the volume of water needed, we can subtract the volume of concentrated HNO3 from the total final volume:
Volume of water = Final volume - Volume of concentrated HNO3 Volume of water = 500 mL - 3.846 mL Volume of water ≈ 496.154 mL
Approximately 3.846 mL of concentrated HNO3 and 496.154 mL of water are required to prepare 500 mL of a 0.1 M HNO3 solution.