Answer:
The correct answer is - The acid base concentration must be equal.
Explanation:
If a buffer solution have equal pH to the pKa of the acid in the buffer, so according to the henderson- hasselbalch equation:
pH=pKa+log [base]/[acid]
Henderson- hasselbalch equation helps to calculate the pH of a buffer solution from the starting concentrations of the acid and its conjugated base or vice versa of the solution of the buffer as long as the value of x is small approximation.
pH = pKa + log [base / acid]
= pKa + log [ x / x ]
pH = pKa
Thus, the correct answer is - the acid base concentration must be equal.
The statement given in the question above simply tells us that the acid base concentration must be equal.
pH = pKa + Log [base]/[acid]
From the above equation, we can determine the value of concentration of the acid and base as illustrated below:
pH = pKa + Log [base]/[acid]
But,
pH = pKa
Thus,
pKa = pKa + Log [base]/[acid]
Collect like terms
pKa – pKa = Log [base]/[acid]
0 = Log [base]/[acid]
Take the anti-log of 0
[base]/[acid] = anti-log 0
[base]/[acid] = 1
Cross multiply
[base] = [acid]
From the calculation made above, we can conclude that the pH is equal to pKa because the concentration of the acid and base are equal.
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