NEET | 2016Chemical Kinetics and Nuclear ChemistryHard

Question

The rate of a first-order reaction is 0.04 mol l-1 s-1 at 10 second and 0.03 mol l-1 s-1 at 20 seconds afterinitiation of the reaction. The half-life period of the reaction is:

Options

A.

24.1 s

B.

34.1 s

C.

44.1 s

D.

54.1 s

Solution

Rate    Time
0.04    10
0.03    20
For first order reaction r ∝ conc.
r1r2=C1C2=43
∴ K = 2.303t2-t1logC1C2
⇒ 0.693t1/2=2.30320-30log 43
On solving t1/2 = 24.1 s

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