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If $t_{x}$ represents time required for a fraction x of a reactant to be reacted during a reaction involving only one reactant. Then match List-I with List-II.
List-I List-II
I) Zero order reaction P) $\frac{t_{3 / 4}}{t_{1 / 2}} = 3$
II) First order reaction Q) $\frac{t_{1 / 4}}{t_{1 / 8}} = 2$
III) Second order reaction R) $\frac{t_{7 / 8}}{t_{3 / 4}} = \frac{3}{2}$
IV) Order of reaction $\geq 1$ S) $α = (1 - e^{- k t})$
T) $\frac{t_{100 %}}{t_{50 %}} = 2$

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$I \to Q; I I \to R, T; I I I \to P; I V \to P, R$

$I \to T; I I \to P; I I I \to R, S; I V \to Q, T$

$I \to Q, T; I I \to R, S; I I I \to P; I V \to P, R, S$

$I \to R; I I \to Q; I I I \to P; I V \to P, Q$

answer is A.

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Detailed Solution

Ans - A
SOL- For reaction $A \to Product$
Using the given formula we can solve all the options
For zero order reaction $t = \frac{{[A]}_{0} - {[A]}_{t}}{k}$
For first order reaction $t = \frac{1}{k} l n \frac{{[A]}_{0}}{{[A]}_{t}}$
For second order reaction $t = \frac{1}{k} [\frac{1}{{[A]}_{t}} - \frac{1}{{[A]}_{0}}]$

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