Question #5d860
1 Answer
Explanation:
The pH of a solution is simply of measure of how many hydronium cations,
More specifically, you can find a solution's pH by taking the negative log base
#color(blue)(|bar(ul(color(white)(a/a)"pH" = - log( ["H"_3"O"^(+)])color(white)(a/a)|)))#
In your case, the concentration of hydronium cations is said to be equal to
#["H"_3"O"^(+)] = 2.5 * 10^(-5)"M"#
This means that the pH of the solution will be
#"pH" = - log(2.5 * 10^(-5)) = color(green)(|bar(ul(color(white)(a/a)4.6color(white)(a/a)|)))#
Now, is a pH of
Aqueous solutions at room temperature exhibit the following relationship between the concentration of hydronium cations and hydroxide anions,
#color(blue)(|bar(ul(color(white)(a/a)["H"_3"O"^(+)] * ["OH"^(-)] = 10^(-14)"M"^2color(white)(a/a)|)))#
This relationship is based on the self-ionization of water at room temperature, for which the ionization constant,
#K_W = 10^(-14)"M"^2#
Now, a neutral solution will always have equal concentrations of hydronium cations and hydroxide anions. For pure water at room temperature, and taking
#x * x = 10^(-14)"M"^2 implies x = sqrt(10^(-14)"M"^2) = 10^(-7)"M"#
So, a neutral solution has
#["H"_3"O"^(+)] = ["OH"^(-)] = 10^(-7)"M"#
In your case, you have a higher concentration of hydronium cations than you would have in a neutral solution. This means that the solution will be acidic, since it contains a higher concentration of hydronium cations than of hydroxide anions.
#["OH"^(-)] = (10^(-14)"M"^2)/(["H"_3"O"^(+)])#
In your case, you have
#["OH"^(-)] = (10^(-14)"M"^color(red)(cancel(color(black)(2))))/(2.5 * 10^(-5)color(red)(cancel(color(black)("M")))) = 4.0 * 10^(-10)"M"#
As you can see, you have
#["H"_3"O"^(+)] > ["OH"^(-)] -># the solution will be acidic