pH of a buffer solution with an acid (pka = 6.1) that is exactly half as concentrated as its conjugate base is 6.4.
A molecule's level of acidity is indicated by the pKa value. By observing how tightly a proton is held by a Bronsted acid, acid strength is determined.
The strength of the acid and its capacity to donate protons increase with decreasing pKa values. define a specific molecule's acidity.
pH = pKa + log[Conjugate base]/[Acid]
Let the acid concentration be x
As the concentration of acid is half of its conjugated base
It means the concentration of conjugate base is the double of the concentration of acid.
So the concentration of conjugate base = 2x
Given
pKa = 6.1
[conjugate base] = 2x
[acid] = x
Put these values into the formula
pH = 6.1 + log[2x]/[x]
pH = 6.1 + log2
log 2 = 0.3010
pH = 6.1 + 0.3010
= 6.4
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