How many milliliters of a stock solution of 12.0M HNO3 would you have to use to prepare 0.400M of 0.390 HNO3 ?

mL x M = mL x M

To find out how many milliliters of the stock solution are needed, we can use the formula:

C1V1 = C2V2

where C1 and V1 are the concentration and volume of the stock solution, and C2 and V2 are the desired concentration and volume of the final solution, respectively.

Given:
C1 = 12.0 M (concentration of the stock solution)
C2 = 0.400 M (desired concentration of the final solution)
V2 = 0.390 L (desired volume of the final solution)

Rearranging the formula, we can solve for V1:

V1 = (C2 * V2) / C1

Substituting the given values:

V1 = (0.400 M * 0.390 L) / 12.0 M

Calculating:

V1 = 0.015 L or 15 mL

Therefore, you would need to use 15 milliliters of the 12.0 M stock solution to prepare 0.400 M of 0.390 L HNO3 solution.