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Question: What fraction of an indicator HIn is in basic form at a pH of 6 if the pKa of the indicator is 5 ?...

What fraction of an indicator HIn is in basic form at a pH of 6 if the pKa of the indicator is 5 ?

A

12\frac{1}{2}

B

111\frac{1}{11}

C

1011\frac{10}{11}

D

110\frac{1}{10}

Answer

1011\frac{10}{11}

Explanation

Solution

pH = pKa + log [Ionised][unlonised]\frac{\lbrack Ionised\rbrack}{\lbrack unlonised\rbrack}

\Rightarrow6 = 5 + log [Ionised][unlonised]\frac{\lbrack Ionised\rbrack}{\lbrack unlonised\rbrack} \Rightarrow1 = log [Ionised][unlonised]\frac{\lbrack Ionised\rbrack}{\lbrack unlonised\rbrack}

[Ionised][unlonised]\frac{\lbrack Ionised\rbrack}{\lbrack unlonised\rbrack} = 10 \Rightarrow [Ionised][Ionised]+[unlonised]\frac{\lbrack Ionised\rbrack}{\lbrack Ionised\rbrack + \lbrack unlonised\rbrack}

= [1011]\left\lbrack \frac{10}{11} \right\rbrack