Acid and Base Equilibrium II

 

Examples of Strong Acids and Bases

Weak Acids, Ka

=[H+] of acetic acid, pH, and % ionization

 

We discussed the balance between H+ and OH- in water.

Given [H+], [OH-], pH or pOH, we can determine the other three.

 

Measuring pH

  1. pH Meter.  Electrode measures voltage (potential energy) using a standard solution in the electrode to measure pH.
  2. Acid – base indicators.  Indicators turn different colors depending on pH.  For example methyl orange

 

H MO =  H+ + MO-

            Red                 Yellow

            At pH < 2 the HMO species predominates in water.  At pH>2 the yellow MO- species predominates.

 

Strong Acids and Bases

 

            HX + H2O = H3O+ + X-  the equilibrium strongly favors the products.  Strong means almost 100% ionization.

            The following are strong acids

 

            HCl                  Hydrochloric Acid                  Ka = 107

            HBr                 Hydrobromic Acid                 Ka = 109

            HI                     Hydroiodic Acid                    Ka = 1010

 

            HNO3              Nitric Acid

            H2SO4             Sulfuric Acid (1st H+ coming off is strong, the second is <100%, but not too much less)

            HClO4, 3          Perchloric and Chloric Acid

 

Please note, HF is not a strong acid.

 

Since these almost completely ionize, we can assume [H+] = [HX][1], so it it easy to calculate the pH.

 

What is the pH of a .010 M HCl solution? 

Well since this is a strong acid, the [H+] = 1.0X10-2M and pH=Log(1.0X10-2)=2.00.  I underlined the significant figures that came from

1.0 X 10-2

 

Strong bases include group I and 2 metal hydroxides (note group 2 hydroxides are not as soluble as group 1).

            NaOH, KOH, Ca(OH)2,

           

Strong means almost 100% ionization, so for group 1 hydroxides, [OH-] = [MOH][2].  For group 2, [OH-] = 2X[M(OH)2]

 

What is the pH of a 0.01 M NaOH solution?

Well, [OH-] = 1X10-2M, so [H+ ] = Kw/[OH-] = 1.0X10-12, so pH = 12.0 (1 significant figure from .01 M)

 

Metal oxides, hydrides, and nitrides are also strong bases.  The group 1 metal compounds are soluble but other group oxides, hydrides and nitrides have low solubility. 

All of these are stronger bases than OH- , and are able to remove H+ from water.

 

            O-2 + H2O = 2 OH-

 

Weak Acids

For weak acids, the ionization is much less than 100%

 

            HA + H2O = H3O+ + A-

 

            Kc = [H3O+] [A-] / [HA] [H2O]

 

Since [H2O] is fairly constant for dilute solutions, we usually write

 

            Ka = [H3O+] [A-] / [HA] = [H+] [A-] / [HA]                   

 

here you can think of the reaction as HA = H+ + A-

 

Where Ka is called the acid-dissociation constant.  The larger Ka is, the stronger the acid.  (For example, the Ka for HCl is ~ 107.

 

See table 16.2 (page 607)

Write the expression for Ka for the following acids

            (CH3)2NH2+, H2PO4-, HCHO2)

 

Calculate the pH of a 0.010 M acetic acid solution and the % ionized.  The Ka for acetic acid is 1.8 X 10-5.  Remind people that this [HCl] gave a pH of 2.00

 

                        HC2H3O2        =                      H+        +                      C2H3O2-

 

Initial

1.0 X 10-2

0 *

0

Change

-x

+x

+x

Equilibrium

1.0 X 10-2 – x

X

X

 

*We are neglecting the [H+] from the autoionization of water because it is to small to contribute much.

 

            Ka = x2 / (1.0 x 10-2 –x)   ~   x2 / 1.0 X 10-2

 

(Lets see if we can simplify by neglecting x compared to 0.010 M.  Solve for x=4.2 X 10-4M (which is indeed very small compared to

1.0X10-2M.)

 pH = -Log (4.2 X 10-2) = 3.37 (compare to same [HCl] giving a pH of 2.00).

 

The % ionized will be = amount ionized / initial amount X 100%

            = 4.2 X 10-4 / 1.0 X 10-2 X 100% = 4.2 %

 

Note, as long as [H+] > 4.5 X 10-7M , [H+] from the autoionization of water produces less than 5% of the hydronium ions in solution.

 

Further note,  [HA]equilibrium=[HA]initial –x

 

Acid –Base calculations are limited to about +/- 5%, so as long as x does not exceed +/-5% of [HA]initial

We assume that x is negligible and

 

[HA]equilibrium ~ [HA]initial

 

For this to work

[HA]initial > 400 X Ka

 

 This means the stronger the acid, the less likely you can make the assumption that [HA]equilibrium ~ [HA]initial.

 

 



[1] [H+] = [HX] when we can neglect the contribution of [H+] from water.  This is a good assumption as long as [HX] > 10-6 M.  At [HX] < 10-6 M we can no longer neglect the acid species from water.

[2] Similar to above, [OH-] = [MOH] when we can neglect the contribution of [OH-] from water.  This is a good assumption as long as [MOH ] > 10-6 M.  At [MOH] < 10-6 M we can no longer neglect the basic species from water.