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The protonated form of the indicator, HIn, has a molar absorptivity of 2051 M–1·

ID: 1058929 • Letter: T

Question

The protonated form of the indicator, HIn, has a molar absorptivity of 2051 M–1·cm–1 and the deprotonated form, In–, has a molar absorptivity of 14050 M–1·cm–1 at 440 nm. The pH of a solution containing a mixture of HIn and In– is adjusted to 6.18. The total concentration of HIn and In– is 0.000146 M. The absorbance of this solution was measured at 440 nm in a 1.00 cm cuvette and was determined to be 0.805. Calculate pKa for HIn.

EA Sapling Learning macmillan learning An acid-base indicator, Hln, dissociates according to the following reaction in an aqueous solution. HIna In (aq) H (a The protonated form of the indicator, Hln, has a molar absorptivity of 2051 M cm 1 and the deprotonated form, In has a molar absorptivity of 14050 M Cm 1 at 440 nm. The pH of a solution containing a mixture of HIn and In s adjusted to 6.18. The total concentration of HIn and In s 0.000146 M. The absorbance of this solution was measured at 440 nm in a 1.00 cm cuvette and was determined to be 0.805. Calculate pKa for HIn Number pK, HIM

Explanation / Answer

We know ,

A=Ecb

0.805 = 2051xC1 x 1 + 14050 x C2 x 1 ------------ 1

0.000146 = C1 + C2 ------------- 2

Solve (1) and (2),

C1= 0.000104

C2 =0.0000421

pH =pKa + log(C2/C1)

pKa =6.18 -log(0.0000421 /0.000104 )

= 6.573