| 10.
Calculations for the Conjugate Base, Sodium
Phenobarbital Please remember
these concepts:
- Many
processes can be at equilibrium.
But with changes in condition -
concentration, temperature - the
system will no longer be at equilibrium
and will adjust to try to get there
again.
- The
equilibrium concentrations of H3O+
and OH- are vanishingly
small in pure water.
- A
weak acid or a weak base drug, in water,
will disassociate to some extent.
The pH of the drug solution will
depend upon the pKa.
- Buffers
stabilize pH. This stabilized
acidity determines the form of drug
disassociation in systems. The
Henderson-Hasselbach equation
conveniently handles drug ionization
questions for buffered systems like the
body.
Now we have seen the
calculations for a solution of the free acid.
What then, is done if there is a solution of a
salt, as is the case when drugs dissolve in the
process of drug administration and absorption?
Lets take a look at a
solution of sodium phenobarbitol. Again, the
first step is to obtain all of the necessary
information. Using, in addition to the
information on phenobarbitol, the free acid, the
solubility of sodium phenobarbitol, the conjugate
base.
Lets review what is
happening. If we dissolve a salt sodium
phenobarbitol, in sufficient water that all of
the solute dissolves, we will have sodium ions
and phenobarbitol ions distributed freely
throughout. Since phenobarbitol is a univalent
species, in the solid there are an equal number
of anions (phenobarbitol ions) and cations
(sodium ions). But the salt that was dissolved
was a base. (a conjugate base, but a base
nonetheless! Look again at the Physical Chemical
Properties of Phenobarbital to review the pH of a
saturated solution of sodium phenobarbitol.) So
the equations that we will choose are the
equations for a BASE.
Since the
ionized form is the same, the dissociation
constant for the free acid, ka, This
is the basis for the calculation of dissociation
constant for the conjugate base, kb.
Remember that the literature states that the pka
of phenobarbitol is 7.41, and the Ka is
,
so
AND
In the same manner as for
the free acid, we will now calculate the pH of a
saturated solution of sodium phenobarbitol.
Again, from the literature, we determine that 1
gram of the salt is soluble in 10 mL of water,
but is practically insoluble in ether and
chloroform. It is somewhat soluble in ethanol.
So, to proceed:
Step 1: Determine the grams of
sodium phenobarbitol soluble in a liter of water:
Step 2: Determine the number of
moles that the weight determined in step 1
represents:
Step 3: Determine the [OH-]
concentration from the equation for a base:
Step 4: Convert the [OH-] to pOH:
Step 5: Convert pOH to pH:
And, lo and
behold, this is indeed the pH of a saturated
solution of sodium phenobarbitol, as we found in
the literature.
Something
to remember:
- This
calculation is for the drug in pure
water, not in a buffered solution.
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