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pH at which a basic indicator with Kin = 1×10–10 changes its colour  when the indicator is 1×10–2 M is
Asked by ntg432000 | 31 Mar, 2019, 06:13: PM
answered-by-expert Expert Answer
space space space space space space space space space space space space space space space space space space space space space space space H I n space space space space space space space space space space space left right double arrow space space space space space space space space space H to the power of plus space space space space space space space space space space space plus space space space space space space space space I n to the power of minus space space space space space space space space space space space space space space space space space space space space space space space 0.02 space space space space space space space space space space space space space space space space space space space space space space space space 0 space space space space space space space space space space space space space space space space space space space space space space space space space space 0 space space space space space space space space space space space space space space space 0.02 minus 0.02 alpha space space space space space space space space space space space space space space 0.02 alpha space space space space space space space space space space space space space space space space space space space space space 0.02 alpha A l s o comma space K subscript I n end subscript space equals space fraction numerator left square bracket H to the power of plus right square bracket space left square bracket I n to the power of minus right square bracket over denominator left square bracket H I n right square bracket end fraction space equals fraction numerator space 0.02 alpha space X space 0.02 alpha space over denominator 0.02 end fraction equals space 0.02 alpha squared space equals space 10 to the power of negative 10 end exponent space rightwards double arrow space alpha space equals space fraction numerator square root of 10 to the power of negative 10 end exponent end root over denominator square root of 0.02 end root end fraction space space equals space fraction numerator space 10 to the power of negative 4 end exponent over denominator 1.414 end fraction space equals space V e r y space l e s s space v a l u e space s o space d i s s o c i a t i o n space i s space v e r y space s m a l l semicolon T h u s space w e space c a n space m o d i f y space t h e space e q u a t i o n comma space p to the power of H space equals space p to the power of K subscript I n end subscript end exponent space plus space log space fraction numerator left square bracket I n to the power of minus right square bracket over denominator left square bracket H I n right square bracket end fraction a s space p to the power of H equals space p to the power of K subscript I n end subscript space end exponent space equals 10.
Answered by Sumit Chakrapani | 02 Apr, 2019, 11:39: PM

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