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Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. X s and k are constants having appropriate units. List-I List-II (I) rate = ] X [ X ] X [ k s + under all possible initial concentrations of X (P) half life (t 1/2 ) Initial concentration of X (II) rate = ] X [ X ] X [ k s + where initial concentrations of X are much less than X s (Q) half life (t 1/2 ) Initial concentration of X (III) rate = ] X [ X ] X [ k s + where initial concentrations of X are much higher than X s (R) rate Initial concentration of X (IV) rate = ] X [ X ] X [ k s + 2 where initial concentrations of X are much higher than X s (S) [X] time (T) ln[X] time

1. I → P; II → Q; III → S; IV → T
2. I → R; II → S; III → S; IV → T
3. I → P; II → Q; III → Q; IV → R
4. I → R; II → S; III → Q; IV → R

Correct answer: I → P; II → Q; III → S; IV → T

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