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For the kinetics of a chemical reaction A -> P, match the order of reaction with its characteristics and identify the INCORRECT combination from Column-I (reaction order), Column-II (time for completion / half-life behaviour), and Column-III (concentration pattern). Column-I: (I) First order, (II) Second order, (III) Third order, (IV) Zero order. Column-II: (i) Reaction completes in finite time, (ii) Reaction takes infinite time to complete, (iii) Half-life is independent of initial concentration, (iv) Half-life decreases as initial concentration increases. Column-III: (P) Rate depends on concentration, (Q) Concentrations of reactant at equal time intervals form a geometric progression, (R) Concentrations of reactant at equal time intervals form an arithmetic progression, (S) Half-life depends on temperature. Which combination is INCORRECT?

1. (II), (ii), (P)
2. (IV), (iii), (R)
3. (III), (ii), (P)
4. (I), (ii), (Q)

Correct answer: (IV), (iii), (R)

Solution

For a zero-order reaction, the half-life is t_(1/2) = [A]0/(2k), which depends on initial concentration. Pairing zero order with (iii) 'half-life independent of concentration' is therefore incorrect. The arithmetic progression match (R) for zero order is correct, but the overall combination (IV)-(iii)-(R) is wrong because of the (iii) assignment.

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