Does the #pH# get higher as the acid concentration increases?

1 Answer
Oct 19, 2017

Well no.......

Explanation:

In aqueous solution an acid #HA# undergoes the following equilibrium....

#HA(aq) + H_2O(l) rightleftharpoonsH_3O^+ + A^-#

Clearly, #K_a=([H_3O^+][A^-])/([HA(aq)])#

And for the reverse reaction...

#A^(-) + H_2O(l) rightleftharpoonsHA(aq) + HO^-#

Clearly, #K_b=([HA(aq)][HO^-])/([A^-])#

And #K_axxK_b=([H_3O^+][A^-])/([HA(aq)]) *([HA(aq)][HO^-])/([A^-])#

#=[H_3O^+][HO^-]=K_w=10^-14#

And should we take #-log_10# of BOTH sides, we gets....

#-log_10[H_3O^+]-log_10[HO^-]=-log_10(10^-14)=14#

#underbrace(-log_10[H_3O^+])_(pH)underbrace(-log_10[HO^-])_(pOH)=14#

And so #pOH + pH=14#

And likewise we could take...#-log_10# of #K_axxK_b# to get....

#pK_a+pK_b=14#