how do you prepare 500 mL of a 1.77 M H2SO4 dilution from an 18.0 M H2SO4 stock solution?

To prepare 500 mL of a 1.77 M H2SO4 dilution from an 18.0 M H2SO4 stock solution, you can use the dilution formula:

M1V1 = M2V2

Where:
M1 = initial concentration of the stock solution
V1 = volume of the stock solution used
M2 = final concentration of the diluted solution
V2 = final volume of the diluted solution

Rearranging the formula, we have:

V1 = (M2V2) / M1

Substituting the given values:
M1 = 18.0 M (concentration of the stock solution)
V2 = 500 mL (final volume of the diluted solution)
M2 = 1.77 M (final concentration of the diluted solution)

V1 = (1.77 M * 500 mL) / 18.0 M
V1 = 49.25 mL

Therefore, to prepare 500 mL of a 1.77 M H2SO4 dilution from an 18.0 M H2SO4 stock solution, you would need to measure out 49.25 mL of the stock solution and then add enough water to reach a final volume of 500 mL.