-->

Chemical Kinetics

Question
CBSEENCH12006289

The rate constant for a first order reaction is 60 S–1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value ?

Solution

Rate constant of reaction,
k = 60 S–1
t15/16 = ?

Rate constant of first order reaction is given by.

k=2.303tlogaa-xt=2.303klogaa-x

where 15 / 16th the reaction is over the

a-x = 1-116M if a = 1 M.

log15/16 = 2.30360 S-1 log 11-15/16               = 2.30360log 16               = 2.30360×1.2041               = 0.046 S = 4.6 × 10-2sec.