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t 87 . 5 is the time required for the reaction to undergo 87 . 5 % completion and t 50 is the time required for the reaction to undergo 50 % completion. The relation between t 87 . 5 and t 50 for a first order reaction is t 87 . 5 = x × t 50 The value of x is _ _ _ _ _ _ _ _ _ . (Nearest integer)

Correct answer

0

Step-by-step solution

The time for completion of the reaction and concentration of reactant relation is as follows, A t = A 0 × 12 . 5 100 = A 0 8 [ 87 . 5 % completed ] A 0 → t 1 / 2 A 0 2 → t 1 / 2 A 0 4 → t 1 / 2 A 0 8 t 87 . 5 = 3 t 1 / 2 So ,   x = 3

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