How would you calculate the concentration of an aqueous solution of Ca(OH2)that has a pH of 12.57.

Ca(OH)2 ==> Ca^+2 + 2OH^-

Ksp = (Ca^+2)(OH^-)^2
pH = 12.57. Convert to pOH, then to (OH^-). Substitute into Ksp and solve for (Ca^+2). That will be the concn of Ca(OH)2.

To calculate the concentration of an aqueous solution of Ca(OH)2 with a given pH of 12.57, you first need to convert the pH value to the concentration of hydroxide ions (OH-) in the solution.

The pH scale is logarithmic and represents the concentration of hydrogen ions (H+) in a solution. The formula to convert pH to concentration is given by:

[H+] = 10^(-pH)

In this case, to find the concentration of hydroxide ions (OH-), you need to apply the concept of pH and pOH. The pH and pOH values are related by the equation:

pH + pOH = 14

Therefore, to find the pOH value, subtract the pH value from 14:

pOH = 14 - pH = 14 - 12.57 = 1.43

Now that you have the pOH value, you can convert it to the concentration of hydroxide ions (OH-) using the same formula as before:

[OH-] = 10^(-pOH)

[OH-] = 10^(-1.43)

Now, take the concentration of hydroxide ions (OH-) and multiply it by the molar ratio between hydroxide ions (OH-) to calcium hydroxide (Ca(OH)2). In this case, the molar ratio is 2:1 because each molecule of Ca(OH)2 dissociates into two hydroxide ions:

Concentration of Ca(OH)2 = 2 * [OH-]

Finally, you need to convert the concentration to the appropriate unit, usually in mol/L or Molarity (M).

Remember to use the appropriate units throughout the calculations and pay attention to significant figures for accurate results.