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Acids, Bases and pH

In a solution pH is a measure of the concentration of H. An acid is a proton donor and a base is a proton acceptor. Ionization process of an acid yields its conjugate base, and the 2 are termed a conjugate acid-base pair, for instance acetate (CH3COO) and acetic acid (CH3COOH). The pK of an acid is the pH at which it is half dissociated. The Henderson-Hasselbalch equation shows the relationship between pH, pK and the ratio of acid to base, and may be used to calculate these values.

 The pH of a solution is a measure of its concentration of protons (H), and pH is explained as:

91_acids and bases.png 

in which the square brackets mention a molar concentration.

An acid can be explained as a proton donor and a base as a proton acceptor:

885_acids and bases1.png

 

For instance;

        1027_acids and bases2.png

 

By   the   ionization   of   an   acid   the   species   formed   is   its   conjugate   base. On the other hand, protonation of a base yields its conjugate acid. So, for instance, acetate and acetic acid is a conjugate acid-base pair.

 The ionization of a weak acid is following:

334_acids and bases3.png 

The obvious equilibrium constant (K) for this ionization is following:

1501_acids and bases4.png 

The pK of an acid is following:

391_acids and bases5.png 

The pK of an acid is the pH at which it is half dissociated, i.e. when [A] [HA]. The  Henderson-Hasselbalch  equation  expresses  the  relationship  between pH  and  the  ratio  of  acid  to  base.  It is derived as given.  Rescheduling of

Equation 1 gives:

750_acids and bases6.png 

Take the logarithm of both sides of this equation gives result as:

1545_acids and bases7.png 

Substituting pH for log 1/[H  ] and pK for log 1/K gives:

1053_acids and bases8.png 

which is the Henderson-Hasselbalch equation.  This equation shows that the pK of an acid is numerically equal to the pH of the solution while the molar density of the acid is equal to that of its conjugate base. From the Henderson-Hasselbalch equation the pH of a solution can be calculated if the molar concentrations of A -
and HA, and the pK of HA are known. In similar way, the pK of an acid may be calculated if the molar concentrations of A- and HA, and the pH of the solution are known already.

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