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Question
When initial concentration of the reactant is doubled, the half-life period of a zero-order reaction ______.
Options
is tripled
is doubled
is halved
remains unchanged
MCQ
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Solution
When initial concentration of the reactant is doubled, the half-life period of a zero-order reaction is doubled.
Explanation:
For a zero-order reaction, the half-life is directly proportional to the initial concentration of the reactant.
The half-life of the zero-order reaction is given as:
`t_(1//2) = [R]_0/(2 k)`
Where:
[R]0 = initial concentration
k = rate constant
So, when [R]0 is doubled:
`t_(1//2)^' = (2 [R]_0)/(2 k)`
`t_(1//2)^' = [R]_0/k`
= `2 xx [R]_0/(2 k)`
= 2 t1/2
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