The pH of 0.005M codeine C18 H21 NO3 solution is 9.95. calculate it's ...
The pH of 0.005M codeine C18 H21 NO3 solution is 9.95. calculate it's ...
pH of the Solution
The given solution has a pH of 9.95, which indicates that it is basic in nature. In a basic solution, the concentration of hydroxide ions (OH-) is higher than the concentration of hydrogen ions (H+). To calculate the ionization constant and pKb, we need to consider the ionization of codeine.
Ionization of Codeine
Codeine is a weak base and can ionize in water according to the following equilibrium reaction:
C18H21NO3 + H2O ⇌ C18H21NO3OH- + H3O+
The equilibrium constant for this reaction is given by the expression:
Kw = [C18H21NO3OH-][H3O+]/[C18H21NO3]
Since the concentration of water remains constant in an aqueous solution, we can define the ionization constant (Kb) for codeine as:
Kb = [C18H21NO3OH-][H3O+]/[C18H21NO3]
Calculating Ionization Constant (Kb)
To determine the ionization constant, we need to convert the pH to the concentration of hydrogen ions (H+). Since pH is defined as the negative logarithm of the hydrogen ion concentration, we have:
pH = -log[H3O+]
By rearranging the equation, we can find the concentration of H+:
[H3O+] = 10^(-pH)
Given that the pH is 9.95, we can calculate the concentration of H+:
[H3O+] = 10^(-9.95) = 1.07 x 10^(-10) M
Since codeine is a weak base, the concentration of OH- ions is equal to the concentration of H3O+ ions. Therefore, [OH-] = 1.07 x 10^(-10) M.
Now, let's define the concentration of codeine as [C18H21NO3] = 0.005 M.
Substituting these values into the expression for Kb:
Kb = [C18H21NO3OH-][H3O+]/[C18H21NO3]
= (1.07 x 10^(-10))(1.07 x 10^(-10))/(0.005)
= 1.15 x 10^(-19)
Calculating pKb
The pKb is defined as the negative logarithm of the ionization constant (Kb):
pKb = -log(Kb)
Substituting the value of Kb calculated above:
pKb = -log(1.15 x 10^(-19))
= 19.94
Therefore, the ionization constant (Kb) of the codeine solution is 1.15 x 10^(-19) and the pKb is 19.94.
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