If the poH of a solution is 10, what is the pH of this solution? Is this solution acidic or basic?
1 Answer
Consider the autoionization reaction of water with itself. This is an equilibrium that is heavily favored towards water, but nevertheless, it occurs.
#2"H"_2"O"(l) rightleftharpoons "H"_3"O"^(+)(aq) + "OH"^(-)(aq)#
Or, this is the same thing:
#\mathbf("H"_2"O"(l) rightleftharpoons "H"^(+)(aq) + "OH"^(-)(aq))#
From this, we have the equilibrium constant known as the autoionization constant,
#color(green)("K"_w = ["H"^(+)]["OH"^(-)] = 10^(-14))#
where
Next, let's take the base-10 negative logarithm of this. Recall that
#"pK"_w = 14 = -log(["H"^(+)]["OH"^(-)])#
#= -log(["H"^(+)]) + (-log(["OH"^(-)]))#
Similar to what happened with
#color(blue)("pK"_w = "pH" + "pOH" = 14)#
So, once you know this equation, what you get is:
#color(blue)("pH") = 14 - "pOH"#
#= 14 - 10#
#= color(blue)(4)#
Acidity is basically (pun?) when the
#"pH" < 7# #-># acidic
#"pH" = 7# #-># neutral
#"pH" > 7# #-># basic