You are provided with supply of 2M SO4.Explain how you may prepare 500ml of 0.5M SO4.

To prepare 500ml of 0.5M SO4 solution using 2M SO4, you will need to dilute the 2M solution appropriately. Dilution involves adding a solvent (usually water) to decrease the concentration of the solute (in this case, SO4).

Here's a step-by-step explanation of how to achieve this:

Step 1: Determine the volume of the 2M SO4 solution needed.

To calculate the volume of the 2M SO4 needed, you can use the formula:

C1V1 = C2V2

Where:
C1 = initial concentration of the solution (2M)
V1 = initial volume of the solution (unknown)
C2 = final concentration of the solution (0.5M)
V2 = final volume of the solution (500ml)

Rearranging the formula to solve for V1:

V1 = (C2 x V2) / C1

V1 = (0.5M x 500ml) / 2M

V1 = (0.5 x 500) / 2

V1 = 250ml

Therefore, you will need 250ml of the 2M SO4 solution.

Step 2: Calculate the volume of solvent needed.

To determine the volume of solvent required, subtract the volume of the 2M SO4 solution from the final desired volume:

Volume of Solvent = final volume - volume of 2M SO4 solution
Volume of Solvent = 500ml - 250ml
Volume of Solvent = 250ml

So, you need 250ml of solvent (water) to dilute the 2M SO4 solution.

Step 3: Dilute the 2M SO4 solution.

Take 250ml of the 2M SO4 solution and add 250ml of water to it. Mix the two solutions thoroughly to obtain a final volume of 500ml.

Now, you have successfully prepared 500ml of 0.5M SO4 solution by diluting the 2M SO4 solution with the appropriate volume of water.