What is pHpH if [H_3O^+]=0.001*mol*L^-1[H3O+]=0.001molL1?

1 Answer
Jun 8, 2017

pH=3............

Explanation:

pH, "pouvoir hydrogene", =-log_10[H_3O^+]

Now it is a fact that in water the following autoprotolysis takes place:

2H_2O(l) rightleftharpoonsHO^(-) + H_3O^+

The ionic product at 298*K = K_w=[H_3O^+][HO^-]=10^-14.

If we take -log_10 of both sides we get:

pK_w =14=-log_10[H_3O^+]-log_10[HO^-]

But by definition, pH =-log_10[H_3O^+] and pOH =-log_10[HO^-]

Thus pK_w =14=pH+pOH

But nitric acid should be stoichiometric in H_3O^+ and NO_3^- ion...........

HNO_3(aq) + H_2O(l) rarr H_3O^+ + NO_3^-

And so pH = -log_10(10^-3) = 3, and pOH=??

And pH=3.

Capisce?