What is the pH of a .001 M solution of HCl?

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What is the pH of a .001 M solution of HCl?

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Answer 1 · 2016-01-08T00:30:36

$pH = 3$ $"pH" = 3$

Explanation:

Hydrochloric acid, $HCl$ $"HCl"$ , is a strong acid, which means that it dissociates completely in aqueous solution to form hydronium ions, $H_{3} O^{+}$ $"H"_3"O"^(+)$ , and chloride anions, ${Cl}^{-}$ $"Cl"^(-)$ , in a $1 : 1$ $1:1$ mole ratio.

This tells you that every mole of hydrochloric acid will dissociate to produce one mole of hydronium ions and one mole of chloride anions in aqueous solution.

![http://wps.prenhall.com/wps/media/objects/476/488316/ch14.html]( useruploads.socratic.org )

The balanced chemical equation looks like this

${HCl}_{(aq]} + H_{2} O_{(l]} \to H_{3} O_{(aq]}^{+} + {Cl}_{(aq]}^{-}$ $"HCl"_text((aq]) + "H"_2"O"_text((l]) -> "H"_3"O"_text((aq])^(+) + "Cl"_text((aq])^(-)$

As you know, the pH of a solution is simply a measure of the concentration of hydronium ions.

$pH = - log ([H_{3} O^{+}])$ $color(blue)("pH" = - log(["H"_3"O"^(+)]))$

So, if you get one mole of hydronium ions for every one mole of hydrochloric acid, you can say that

$[H_{3} O^{+}] = [HCl] = 0.001 M$ $["H"_3"O"^(+)] = ["HCl"] = "0.001 M"$

This means that the pH of the solution will be

$pH = - log (0.001)$ $"pH" = - log(0.001)$

$pH = 3$ $"pH" = color(green)(3)$

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What is the pH of a .001 M solution of HCl?

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