The H₃O⁺ concentration of a solution is 5.9 × 10^-6 M.What is the pH of the solution? A) 6.44 B) 3.40 C) 2.00 D) 5.23 E) 9.74

Question

Quizplus · Accepted Answer

Initially, we need to find the concentration of H+ ions (or [H+]). We are given the concentration of H₃O^and ions, which are both part of the acid-base dissociation equilibrium of water: H2O ⇌ H+ + Ka = [H+][]/[H2O] Since water is in excess, we can assume that its concentration remains constant: [H2O] = 55.5 mol/L. Therefore, we can simplify the equation to: Ka = [H+][]/55.5 And solve for [H+] : [H+] = Ka x 55.5/[] = 1.0 x 10^{4 x 55.5/5.9 x 10^{6 = 9.32 x 10^{2 M
To find the pH, we can use the definition:
pH = -log[H+]
pH = -log(9.32 x 10^{2) = 5.23
Thus, the pH of the solution is 5.23, which corresponds to choice D.}}}}

The H3O+ Concentration of a Solution Is 5

The H₃O⁺ Concentration of a Solution Is 5