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Question

In a reaction involving one single reactant, the fraction of the reactant consumed may be defined as f=(1−CC0) where C0 and C are the concentrations of the reactant at the after time, t. For a first order reaction:

A
dfdt=k(1f)
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B
dfdt=kf
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C
dfdt=k(1f)
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D
dfdt=kf
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Solution

The correct option is A dfdt=k(1f)
Integrated rate equation for 1st order reaction
K=2.303tlog[A]1[A]2
Where [A]1 is the initial concentration and [A]2 is the concentration of A at time t
Given initial concentration is C0 and concentration at time t is C
Integrating option A we get
ln(1f)=kt
given f=(1CC0)
ln[C0][C]=kt
K=2.303tlog[C0][C]

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