What sort of solution will result if one equiv of hydrochloric acid is added to one equiv of calcium hydroxide? And how does #pH# relate to #pOH# in such solutions?

Answer 1

Well hydrochloric acid is an acid that gives one equivalent of hydronium ion.........so you will get a BASIC solution is you add one equiv of calcium hydroxide........

Whereas, calcium hydroxide gives TWO equivalents of hydroxide anion. The solution will thus be stoichiometric in #Ca(OH)Cl(aq)#, and thus there is still one equiv of #HO^-# in solution.

We could represent neutralization of calcium hydroxide by hydrochloric acid by the following stoichiometric equation.....

#Ca(OH)_2(s) + 2HCl(aq) rarr CaCl_2(aq) + 2H_2O(l)#

Calcium hydroxide is not particularly soluble in aqueous solution; on t'other hand, calcium chloride is soluble.......

As background, we know that in aqueous solution gives rise to an increase in the concentration of #H_3O^+#, conceived as the characteristic cation of the water solvent, whereas calcium hydroxide is a base that gives rise to increased concentrations of #HO^-#, likewise conceived to be the characteristic anion of the water solvent.
A solution that is #1*mol*L^-1# with respect to #Ca(OH)_2# is #2* mol*L^-1# with respect to hydroxide anion. Agreed? We can further quantify the acid-base behaviour by invoking the #pH# scale. #pH=-log_10[H_3O^+]# and #pOH=-log_10[HO^-]#, and given water's autoprotolysis,......
#2H_2OrightleftharpoonsH_3O^+ + HO^-#, where ............
#K_w=[HO^-][H_3O^+]=10^-14#
.....if we take #log_10# of both sides, we gets..............
#log_10K_w=log_10[H_3O^+]+log_10[HO^-]#
But #log_10K_w=log_10(10^-14)=-14# Do you see this? It is important to appreciate and understand this fact.

And so..........

#log_10K_w=log_10[H_3O^+]+log_10[HO^-]=-14#

On rearrangement.......

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

And so our defining relationship.......

#pH+pOH=14#
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Answer 2

The reaction between hydrochloric acid (HCl) and calcium hydroxide (Ca(OH)2) produces calcium chloride (CaCl2) and water (H2O). The pH of the resulting solution will depend on the concentration of the resulting calcium chloride solution. pH and pOH are related by the equation: pH + pOH = 14. Therefore, if the pH of the solution is known, the pOH can be calculated, and vice versa.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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