What is the formula to find the value of $t_{1 / 2}$ for a zero order reaction?

\frac{k}{[R]_{0}}

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\frac{2 k}{[R]_{0}}

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\frac{[R]_{0}}{2 k}

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\frac{0.693}{k}

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Solution

The correct option is C $\frac{[R]_{0}}{2 k}$
For zero order reaction:

$R_{0} - R = k t$ or $t = \frac{R_{0} - R}{k}$ ------- 1

$t_{1 / 2} = t_{50 %} \Rightarrow R = \frac{R_{0}}{2}$

$t_{1 / 2} = \frac{R_{0} - \frac{R_{0}}{2}}{k} = \frac{R_{0}}{2 k}$

Therefore, the formula of $t_{1 / 2}$ for a zero order reaction is $\frac{[R]_{0}}{2 k}$ .

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