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Hin is an acidic indicator (K(Ind) =10^(...

`Hin` is an acidic indicator `(K_(Ind) =10^(-7))` which dissociates into aqueous acidic solution of `30mL` of `0.05M H_(3)PO_(4) (K_(1) = 10^(-3), K_(2) = 10^(-7), K_(3) = 10^(-13))`
If `Hin` and `Ind^(Theta)` posses colour `P` and `Q`, respectively, and concentration of `HIn` is `120` times than that of `Ind^(Theta)`. colour `Q` predominates over `P` when concnetration of `Ind^(Theta)` is `127` times of `HIn`.
What is the `pH` range of the indicator.

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