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

c1v1 = c2v2

c = concn
v= volume

5.107 To determine the volume to which you must dilute a given amount of a concentrated solution, you can use the formula for dilution:

(C1)(V1) = (C2)(V2)

Where:
C1 is the initial concentration of the concentrated solution (in this case, 13M HNO3)
V1 is the initial volume of the concentrated solution (in this case, 55 mL)
C2 is the desired concentration of the final diluted solution (0.140M HNO3)
V2 is the final volume of the diluted solution (what we need to find)

Plugging in the known values, the equation becomes:

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

Simplifying the equation, we can solve for V2:

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

Calculating this expression, we find that V2 is approximately 5000 mL (or 5 L).

Therefore, you should dilute the 55 mL of the 13M HNO3 stock solution to a final volume of 5000 mL (5 L) to obtain a 0.140M HNO3 solution.