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If K_(a_1) and K_(a_2)are the ionisation constant of H_3overset+NCHRCOOH and H_2NCHRCOO^(-), respectively the pH of the solution at the isoelectric point is |
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Answer» `PH=(pK_(a_1)+pK_(a_2))` `underset"Low pH"(H_3overset+N-undersetundersetR|CH-COOH) underset(H^+)overset(OH^-)hArr underset"Intermediate pH"(H_3overset+N-undersetundersetR|CH-COO^-) underset(H^+)overset(OH^-)hArr underset"HighpH"(H_2NundersetundersetR|CHCOO^-)` with `K_(a_1)=([H_3Noverset+CH(R)COO^(-)][H^(+) ])/([H_3overset+NCH(R)COOH])` `K_(a_2)=([H_2NCH(R)COO^(-)][H^+])/([H_3N^(+)CHRCOO^(-)])` Thus, `K_(a_1)K_(a_2)=([H_2NCH(R)COO^(-)][H^+]^2)/([H_3N^(+)CH(R)COOH])` As isoelectric point, `[H_2NCH(R)COO^(-)]=[H_3N^(+)CH(R)COOH]` Thus, `K_(a_1)K_(a_2)=[H^(+)]^2 ` or pH=`[pK_(a_1) + pK_(a_2)]^(1//2)` |
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