Question #231e7

1 Answer
Aug 3, 2017

["H"_3"O"^+] = 1.1xx10^-13 M

Explanation:

We're asked to find the hydronium ion concentration ["H"_3"O"^+], given the hydroxide ion concentration ["OH"^(-)].

At 25 ""^"o""C", we have the relationship

ul(K_w = ["OH"^(-)]["H"_3"O"^+] = 1.00xx10^-14color(white)(l)M^2

Since ["OH"^- ] is given as

9.0xx10^-2 M

we plug that into the equation and solve for ["H"_3"O"^+]:

["H"_3"O"^+] = (1.00xx10^-14color(white)(l)M^2)/(9.0xx10^-2color(white)(l)M) = color(red)(ulbar(|stackrel(" ")(" "1.1xx10^-13color(white)(l)M" ")|)

rounded to 2 significant figures.