For a first order reaction A → products, the rate
of reaction at (A) = 0.2 M is 1x 10-2 mol L-lmin-1.
The half life period for the reaction is -
(1) 832 min.
(2) 440 s
(3) 416 min.
(4) 14 min.
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For a first order reaction A → products, the rateof reaction at (A) = 0.2 M is 1x 10-2 mol L-lmin-1. The half life period for the reaction is -
(1) 832 min.
(2) 440 s
(3) 416 min.
(4) 14 min.
answer : option (4) 14 min
explanation : for first order reaction, half life doesn't depend on concentration of reactants. it only depends on rate constant. i.e., t = ln2/k
given, rate of reaction at [A] = 0.2 K is 1 × 10^-2 mol.L-¹min-¹
from reaction, r = k[A]
or, 1 × 10^-2 = k × 0.2
or, k = 5 × 10^-2 min-¹
now, half life period , t = ln2/(5 × 10^-2)
= 20ln2
= 13.8629436 ≈ 14min
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