A concentrated H2SO4 solution is 10.5 M. You have to make 255 mL of 0.650 M solution. How would you prepare it?

mL1 x M1 = mL2 x M2

mL1 x 10.5 = 255 x 0.650

Thank you

To prepare a 255 mL solution of 0.650 M H2SO4, you can follow the steps given below:

Step 1: Calculate the volume of the 10.5 M H2SO4 solution needed.
To find the volume of the 10.5 M H2SO4 solution required, you can use the formula:

(C1 * V1) = (C2 * V2)

Where:
C1 = Concentration of stock solution (10.5 M)
V1 = Volume of stock solution to be taken (unknown)
C2 = Concentration of final solution (0.650 M)
V2 = Volume of final solution (255 mL or 0.255 L)

Rearranging the formula to solve for V1:
V1 = (C2 * V2) / C1

V1 = (0.650 M * 0.255 L) / 10.5 M
V1 ≈ 0.0158 L or 15.8 mL

Therefore, you will need approximately 15.8 mL of the 10.5 M H2SO4 solution.

Step 2: Measure the required volume of the 10.5 M H2SO4 solution.
Using a measuring device such as a graduated cylinder, measure approximately 15.8 mL of the 10.5 M H2SO4 solution.

Step 3: Dilute the measured solution to the desired volume.
To dilute the measured 10.5 M H2SO4 solution to a final volume of 255 mL, add an appropriate volume of water. The volume of water can be calculated by subtracting the volume of the H2SO4 solution from the final volume.

Volume of water = Final volume - Volume of 10.5 M H2SO4 solution
Volume of water = 255 mL - 15.8 mL
Volume of water ≈ 239.2 mL

Therefore, to prepare the 0.650 M H2SO4 solution, measure approximately 15.8 mL of the 10.5 M H2SO4 solution and add enough water to reach a total volume of 255 mL.