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Question

A(aq)B(aq)+C(aq) is a first order reaction.
Time
t

moles of reagent
n1
n2
Reaction progress is measure with help of titration 'R'. If all A,B and C reacted with reagent and have 'n' factors [n factor; eq.wt=mol.wt.n] in the ratio of 1:2:3 with the reagent. The k in terms of t,n1 and n2 is :

A
k=1tln(n2n2n1)
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B
k=1tln(2n2n2n1)
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C
k=1tln(4n2n2n1)
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D
k=1tln(4n25(n2n1))
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Solution

The correct option is D k=1tln(4n25(n2n1))
The expression for the rate constant for the first order reaction is k=1tln([A]0[A]t)
But ([A]0[A]t)=(4n25(n2n1))
The expression for the rate constant for the first order reaction becomes k=1tln(4n25(n2n1))

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