What volume of 0.855 M KOH solution is required to make 3.55 L of a solution with a pH of 12.4?

Verified step by step guidance

1. Determine the concentration of hydroxide ions \([OH^-]\) in the solution with a pH of 12.4 using the formula \(pOH = 14 - pH\).
2. Calculate \([OH^-]\) using the formula \([OH^-] = 10^{-pOH}\).
3. Use the dilution equation \(M_1V_1 = M_2V_2\) where \(M_1\) is the initial concentration of KOH, \(V_1\) is the volume of KOH solution needed, \(M_2\) is the concentration of \([OH^-]\) in the final solution, and \(V_2\) is the final volume of the solution.
4. Rearrange the dilution equation to solve for \(V_1\): \(V_1 = \frac{M_2V_2}{M_1}\).
5. Substitute the known values into the equation to find \(V_1\), the volume of 0.855 M KOH solution required.