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Question

The reaction, Ak−−− Product, is zero order while the reaction, Bk−−− Product, is first order reaction. For what initial concentration of A are the half lives of the two reactions equal?

A
(ln4)M
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B
2 M
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C
(2log2) M
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D
(ln2) M
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Solution

The correct option is A (ln4)M
For zero order reaction,
x=kt
a2=k×t1/2, i.e., t1/2=a2k ....(i)
For first order reaction,
t1/2=loge2k ....(ii)
From equations (i) and (ii), a2k=loge2k
a=loge4M

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