Which of the following expression is correct for first- order reaction? (CO) refers to initial concentration of reactant

t_{1 / 2} \propto C O

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t_{1 / 2} \propto {C O}^{- 1}

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t_{1 / 2} \propto {C O}^{- 2}

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t_{1 / 2} \propto {C O}^{o}

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Solution

The correct option is C $t_{1 / 2} \propto {C O}^{o}$
$t_{1 / 2} \propto {(C O)}^{0}$ i.e. half life for $1^{s t}$ order is independent of initial concentration.

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