Chemical Kinetics and Nuclear ChemistryHard
Question
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?
Options
A.1
B.1.5
C.2
D.3
Solution
$t_{1/2}\alpha\left\lbrack A_{0} \right\rbrack^{1 - n}$
Given: $C_{0}.\sqrt{T} \Rightarrow \text{constant } \Rightarrow T = \text{constant } \times C_{0}^{- 2}$
As $1 - n = - 2 \Rightarrow n = 3$
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