NEETIonic EquilibriumHard

Question

At what molar concentration of HCl will its aqueous solution have an [H+] to which equal contributions come from HCl and H2O.

Options

A. × 10-7 M
B. × 10-8 M
C. × 10-9 M
D. × 10-8 M

Solution

HCl → H+   +   Cl-
          (x + x)         (x)
H2O ⇋ H+   +   OH-
          (x + x)         (x)
Ionic product  = Kw = (2x) (x) = 10-14
⇒  2x2 = 10-14 ⇒   x = × 10-8

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