The half-life for a zero order reaction having 0.02 M initial concentration of reactant is 100 s. The rate constant…

The half-life for a zero order reaction having 0.02 M initial concentration of reactant is 100 s. The rate constant (in mol L$^{-1}$ s$^{-1}$) for the reaction is
A $1.0\times10^{-2}$
B $1.0\times10^{-4}$
C $2.0\times10^{-4}$
D $2.0\times10^{-3}$

Detailed Solution

For a zero order reaction, $t_{1/2}=\dfrac{[A_0]}{2k}\Rightarrow k=\dfrac{[A_0]}{2t_{1/2}}=\dfrac{0.02}{2\times100}=1.0\times10^{-4}\ mol\,L^{-1}s^{-1}$.

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