1.

Define half life of reaction . Shows that the first order reaction half life is independent of Intel concentration.

Answer»

Solution :Half life of reaction is defined as the time REQUIRED for the REACTANT concentration to each one half of its INITIAL value.
For a first ORDER reaction , the half Life is a CONSTANT i.e, it does not depend on the initial concentration.
The rate constant for a first order reaction is given by,
`k=(2.303)/t=log.([A]_0)/([A])`
at `t=t_(1//2),[A]=[A_0]//2`
`:.k=(2.303)/(t_(1//2))log.([A_0])/([A_0]//2)`
`k=(2.303xx0.3010)/(t_(1//2))=(0.6932)/(t_(1//2))`
`t_(1//2)=(0.6932)/k`


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