What is the hydroxide ion concentration and the pH for a hydrochloric acid solution that has a hydronium ion concentration of 1.50 × 10^-2 mol L^-1? A)6.67 × 10^-12 mol L^-1, 2.82 B)6.67 × 10^-12 mol L^-1, 11.18 C)6.67 × 10^-13 mol L^-1, 1.82 D)6.67 × 10^-13 mol L^-1, 12.17

Question

Quizplus · Accepted Answer

For hydrochloric acid, HCl ⇌ H+ + Cl-
Given [H3O+] = 1.50 × 10^-11 mol/L
[H+] = [Cl-] = 1.50 × 10^-11 mol/L (as the mole ratio between H+ and Cl- is 1:1)
Kw = [H+][OH-] = 1.00 × 10^-14
[OH-] = Kw/[H+] = (1.00 × 10^-14)/(1.50 × 10^-11) = 6.67 × 10^-4 mol/L
pOH = -log[OH-] = -log(6.67 × 10^-4) = 3.18
pH = 14 - pOH = 14 - 3.18 = 10.82
Therefore, the hydroxide ion concentration is 6.67 × 10^-4 mol/L and the pH is 1.82. 
The only answer choice that matches this calculation is C.

What Is the Hydroxide Ion Concentration and the PH for a Hydrochloric