To what volume should you dilute 55mL mL of a 13M stock HNO 3 solution to obtain a 0.140M M HNO 3 solution?

To determine the volume to which you need to dilute 55 mL of a 13M HNO3 solution to obtain a 0.140M HNO3 solution, we can use the dilution formula:

C1V1 = C2V2

Where:
C1 = initial concentration (13M)
V1 = initial volume (55 mL)
C2 = final concentration (0.140M)
V2 = final volume (unknown)

Rearranging the formula, we get:

V2 = (C1V1) / C2

Substituting the given values, we have:

V2 = (13M * 55 mL) / 0.140M

Now, let's calculate the value of V2:

V2 = (715 mL * M) / 0.140M

V2 ≈ 5117.86 mL

Therefore, you need to dilute 55 mL of a 13M HNO3 solution to a volume of approximately 5117.86 mL (or 5.12 L) to obtain a 0.140M HNO3 solution.