Ans: 1. The pH obtained as:
pH = pKa + log[X-]/[HX]
X- = deprotonated form of the indicator
HX = protonated form of the indicator
When a single indicator is used, pH range of the indicator is taken as (pKa ± 1).
So, for phenol red we can take the middle point f the pH range as the value of pKa. Middle point of 6.4-8 is 7.2.
So pKa = 7.2
Ka = 10-7.2 = 6.3*10-8
2. When [X-]=[HX] the color of the solution will be a perfect orange.
pH = pKa + log[X-]/[HX]
= pKa + log[HX]/[HX]
= pKa
= - log(7.9x10-12)
= 11.1
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