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$r=k[ClO^-]^\alpha [Br^-]^\beta……(10)$
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$r=k[ClO^-]^\alpha_0 [Br^-]^\beta……(11)$
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Where $k[ClO^-]^\alpha_0$ is effectively a constant
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$r=k^{’}[Br^-]^\beta……(12)$
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$k^{’}=k[ClO^-]^{\alpha}_0……(13)$
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Where $r=k^{’}[Br^-]^\beta$ is Depending only on $[Br^-]$
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Kinetics contribution of $[Br^-]$ has been isolated