Calculate the ratio of imidazole to the imidazolium ion in a solution at pH 7.4.
Acid dissociation constant:
Acid dissociation constant
of an acid indicates the extent to which the acid dissociates into
ion and a conjugate base. Strong acids will have greater dissociation constants, and hence the
value will be greater.
Power of hydrogen ions (pH):
The pH of a solution is defined as the negative logarithmic function of the concentration of hydrogen (
) ions in an aqueous solution at a particular temperature.
The Henderson-Hasselbalch equation is shown as follows.
![[A ]
pH = PK + log
[HA]](http://img.homeworklib.com/questions/41afba10-494c-11ea-9534-f3b1d1d81827.png?x-oss-process=image/resize,w_560)
Here,
The power of
in a solution is
.
The power of acid dissociation constant of a weak acid is
.
The concentration of a weak monoprotic acid is
.
The concentration of its conjugate base is
.
The given
of the solution is
.
The acid dissociation reaction of imidazolium ion is given below.

Use the Henderson-Hasselbalch equation to calculate the ratio as follows.
![[imidazole]
pH =pK, +log;
Simidazolium ion]](http://img.homeworklib.com/questions/43e38bd0-494c-11ea-b877-0559fef6abc0.png?x-oss-process=image/resize,w_560)
Substitute
for
and
for 
![[imidazole)
7.4 = 7.0+log
[imidazolium ion]
[imidazole)
= 7.4 - 7.0
[imidazolium ion]
[imidazole)
=1004
[imidazolium ion]
[im](http://img.homeworklib.com/questions/451b3ea0-494c-11ea-9ce0-5b3631699a8c.png?x-oss-process=image/resize,w_560)
So, the ratio of imidazole to the imidazolium ion is
.
The ratio of imidazole to the imidazolium ion in a solution at
of
is
.
Calculate the ratio of imidazole to the imidazolium ion in a solution at pH 7.4.
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