For a certain reaction involving a single reactant, it is found that $C_{0}\sqrt{T}$ is constant, wh

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For a certain reaction involving a single reactant, it is found that $C_{0}\sqrt{T}$ is constant, where C0 is the initial concentration of the reactant and T is the half-life. What is the order of the reaction?

Accepted Answer

$t_{1/2}\alpha\left\lbrack A_{0} ightbrack^{1 - n}$Given: $C_{0}.\sqrt{T} \Rightarrow 	ext{constant } \Rightarrow T = 	ext{constant } 	imes C_{0}^{- 2}$As $1 - n = - 2 \Rightarrow n = 3$

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