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(Degree of dissociation ∝ √Ka ) Prove !

Asked by jhajuhi19 | 13 Jul, 2021, 10:08: AM

Expert Answer

Degree of dissociation is inversely proportional to Acid dissociation constant (K_a). This expression is applicable for binary weak acid (HA).

Proof-

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 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 space space space space space H A subscript left parenthesis a q right parenthesis end subscript left right double arrow space space space space H to the power of plus subscript left parenthesis a q right parenthesis end subscript space plus space space space A to the power of minus subscript left parenthesis a q right parenthesis end subscript I n i t i a l space M o l a r space C o n c e n t r a t i o n space space space space space space space space space space space space space space space space space 1 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 0 E q u i l i b r i u m space M o l a r space C o n c e n t r a t i o n space space space space space space space space space 1 minus alpha space space space space space space space space space alpha space space space space space space space space space space space space space space alpha C o n c e n t r a t i o n space i n space m o l e divided by d m cubed space space space space space space space space space space space space space space space space fraction numerator 1 minus alpha over denominator V end fraction space space space space space space space alpha over V space space space space space space space space space space space alpha over V space space B y space A p p l y i n g space t h e space l a w space o f space m a s s space a c t i o n minus K subscript a equals fraction numerator left square bracket H to the power of plus right square bracket left square bracket A to the power of minus right square bracket over denominator left square bracket H A right square bracket end fraction K subscript a equals fraction numerator left parenthesis begin display style alpha over V end style right parenthesis open parentheses alpha over V close parentheses over denominator open parentheses begin display style fraction numerator 1 minus alpha over denominator V end fraction end style close parentheses end fraction K subscript a equals fraction numerator begin display style alpha squared over V end style over denominator left parenthesis 1 minus alpha right parenthesis end fraction C equals 1 over V K subscript a equals fraction numerator alpha squared C over denominator 1 minus alpha end fraction F o r space w e a k space a c i d space alpha less than less than less than 1 S o comma space space space space space space K subscript a equals alpha squared C space space space space space space space space space space space space alpha equals square root of K subscript a over C end root W e space c a n space s a y space t h a t comma space D e g r e e space o f space d i s s o c i a t i o n space left parenthesis alpha right parenthesis space space alpha space square root of K subscript a end root space space space space space space space space space

Answered by Ravi | 14 Jul, 2021, 11:47: AM

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