Explain in step by step and provide calculations to show how you can prepare 1.50 L of 0.10 M H2SO4 solution starting with 16 M H2SO4

To prepare a 1.50 L of 0.10 M H2SO4 solution starting with 16 M H2SO4, you'll need to follow these steps:

Step 1: Determine the amount of compound needed.
We need to find out how much of the 16 M H2SO4 solution is required to make the desired 0.10 M H2SO4 solution. This can be done using the equation:
M1V1 = M2V2,

Where:
M1 = initial concentration of the solution (16 M)
V1 = volume of the solution taken (unknown)
M2 = final concentration of the solution (0.10 M)
V2 = final volume of the solution (1.50 L)

Rearranging the equation to solve for V1, we get:
V1 = (M2 * V2) / M1
V1 = (0.10 M * 1.50 L) / 16 M
V1 = 0.75 / 16
V1 = 0.0469 L

Therefore, you will need to take 0.0469 L (or 46.9 mL) of the 16 M H2SO4 solution.

Step 2: Calculate the dilution.
Now that we know the volume of the concentrated solution needed, we can calculate the dilution by adding a suitable solvent (usually water) to achieve the desired concentration.
Using the equation:
C1V1 = C2V2,
where:
C1 = initial concentration of the solution (16 M)
V1 = initial volume of solution (0.0469 L)
C2 = final concentration of the solution (0.10 M)
V2 = final volume of the solution (1.50 L)

Rearranging the equation to solve for V2, we get:
V2 = (C1 * V1) / C2
V2 = (16 M * 0.0469 L) / 0.10 M
V2 = 0.75 L

Therefore, you will need to dilute the 0.0469 L (or 46.9 mL) of the 16 M H2SO4 solution with approximately 0.75 L (or 750 mL) of water.

Step 3: Combine and mix the solution.
Once you have measured out the appropriate volumes, pour the 0.0469 L (or 46.9 mL) of the 16 M H2SO4 solution into a container and add the 0.75 L (or 750 mL) of water. Mix well to ensure proper dilution.

Note: It is always important to remember to add concentrated solutions to water and not the other way around to avoid potential splashing or chemical reactions.

This step-by-step process will help you prepare 1.50 L of a 0.10 M H2SO4 solution starting with a 16 M H2SO4 solution.