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What is the pH of a solution made by mixing 20.00 mL of 0.100 M HCl with 40.00 mL of 0.100 M KOH? Assume that the volumes of the solutions are additive.Group of answer choices0.4812.5213.521.48

Question

What is the pH of a solution made by mixing 20.00 mL of 0.100 M HCl with 40.00 mL of 0.100 M KOH? Assume that the volumes of the solutions are additive.Group of answer choices0.4812.5213.521.48

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Solution

To solve this problem, we need to first determine the moles of HCl and KOH in the solution.

  1. Calculate the moles of HCl: Moles = Molarity * Volume(L) Moles of HCl = 0.100 M * 20.00 mL / 1000 = 0.002 moles

  2. Calculate the moles of KOH: Moles of KOH = 0.100 M * 40.00 mL / 1000 = 0.004 moles

  3. Determine the excess reactant: Since KOH is in excess (0.004 moles - 0.002 moles = 0.002 moles), the solution will be basic.

  4. Calculate the concentration of OH- ions: [OH-] = moles of excess KOH / total volume(L) [OH-] = 0.002 moles / (20.00 mL + 40.00 mL) / 1000 = 0.033 M

  5. Calculate the pOH of the solution: pOH = -log[OH-] pOH = -log(0.033) = 1.48

  6. Calculate the pH of the solution: pH = 14 - pOH pH = 14 - 1.48 = 12.52

So, the pH of the solution is 12.52.

This problem has been solved

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