show that in the case of a first order reaction time taken for 99% completion is ten times the half life
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Expression for rate law for first order kinetics is given by:
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
b) for completion of 99.9 % of reaction
Thus it is proved that time take for completion of 99.9% for reaction is 10 times of that of half life
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