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Derive an expression for the rate consta...

Derive an expression for the rate constant of first order reaction. Give an example of first order reaction.

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e.g. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.
`""_(88)^(226)" Ra" to ""_(2)^(4)" He"+ ""_(86)^(22)" Rn"`
Hydrogenation of ethene and decomposition of `N_(2) O_(5) and N_(2) O` are other examples of first order reactions.
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