You are a work study student in our chemistry department. Amy, your supervisor has just asked you to prepare 500ml of 2.50M HNO3 solution for tomorrow's undergraduate experiment. The Stock Solutions cabinet is under the Stockroom Explorer. You will find find a 2.50 liter bottle containing 15.4M HNO3. Please prepare a flask containing 500ml of a 2.50M solution. To ensure proper credit, please write your calculations in the space given below.

To prepare a 500ml of 2.50M HNO3 solution using the available 15.4M HNO3 stock solution, you can use the dilution formula, which is:

C1V1 = C2V2

Where:
C1 = initial concentration of the stock solution
V1 = initial volume of the stock solution
C2 = final concentration of the diluted solution
V2 = final volume of the diluted solution

In this case, the initial concentration of the stock solution (C1) is 15.4M, and the desired final concentration of the diluted solution (C2) is 2.50M. The desired final volume of the diluted solution (V2) is 500ml (or 0.5 liters).

Using the dilution formula, we can solve for V1, the volume of the stock solution we need to use:

C1V1 = C2V2
15.4M * V1 = 2.50M * 0.5L
15.4V1 = 1.25
V1 = 1.25 / 15.4
V1 ≈ 0.081 liters

Therefore, to prepare 500ml of 2.50M HNO3 solution, you will need to measure approximately 0.081 liters (or 81ml) of the 15.4M HNO3 stock solution and dilute it to 500ml with water or another suitable solvent.