If the Kb of a weak base is 5.5x10-6, what is the pH of a 0.38M solution of this base?
The concept used is to calculate the
of a weak base of the given concentration.
An equilibrium constant for the dissociation reaction is the equation expressing the extent of dissociation into ions which is equal to the product of the concentrations of the respective ions divided by the concentration of the undissociated molecule.
Consider a general reaction for the dissociation of base,
.
The equilibrium constant for the dissociation of base,
is given as follows:
![(В)
L-HO ][ Ня)
У](http://img.homeworklib.com/questions/3ed02090-5a0f-11ea-9e51-99058c34a7e9.png?x-oss-process=image/resize,w_560)
is the measure of hydrogen ion concentration.
The expression to calculate the
is as follows:
![pH = -log[1,01]](http://img.homeworklib.com/questions/40013170-5a0f-11ea-b763-df17ff5116a9.png?x-oss-process=image/resize,w_560)
is the measure of hydroxide ion concentration.
The expression to calculate the
is as follows:
![pOH = -log[OH ]](http://img.homeworklib.com/questions/410f1900-5a0f-11ea-b5d3-f1984878c04f.png?x-oss-process=image/resize,w_560)
The hydroxide ion concentration
and
are related as follows:
![[H,0+ ][OH ]=1.0x10-14](http://img.homeworklib.com/questions/422a2ac0-5a0f-11ea-9bf8-9f30fa8bdbe2.png?x-oss-process=image/resize,w_560)
The relation between
and
is as follows:

Concentration of base ![[B]=0.38 M](http://img.homeworklib.com/questions/4372d630-5a0f-11ea-bd74-57974acfb0e0.png?x-oss-process=image/resize,w_560)

The ICE table is constructed as follows:

The equilibrium concentrations are calculated as follows:

![[BH* )=x=0.00145 M
[OH)= x=0.00145 M
[B]=0.38-x
= 0.38-0.00145 M
= 0.3785 M](http://img.homeworklib.com/questions/44d41ef0-5a0f-11ea-96e0-cd771a874111.png?x-oss-process=image/resize,w_560)
The
is calculated as follows:

The
is calculated as follows:

Therefore, the
of the weak base
.
If the Kb of a weak base is 5.4 × 10-6, what is the pH of a 0.25
M solution of this base?
If the Kb of a weak base is 5.4 x 106, what is the pH of a 0.25 M solution of this base? Number
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If the Kb of a weak base is 4.9 × 10-6, what is the pH of a 0.49 M solution of this base?
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If the Kb of a weak base is 3.1 x 10-6, what is the pH of a 0.40 M solution of this base? pH = 13.6