Chemical Kinetics Question 202

Question: In the first order reaction, the concentration of the reactant is reduced to 25% in one hour. The half life period of the reaction is [DCE 2004]

Options:

A) 2 hr

B) 4 hr

C) 1/2 hr

D) 1/4 hr

Show Answer

Answer:

Correct Answer: C

Solution:

$ K=\frac{2.303}{1\ hr}\log \frac{100}{25}=\frac{2.303}{t}\log \frac{100}{50} $
$ \therefore \ \ \log 4=\frac{1}{t}\log 2 $
$ \therefore \ \ 2\log 2=\frac{1}{t}\log 2 $ ; $ t=\frac{1}{2}hr $ .



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