Chemical Kinetics Question 190

Question: For a first order reaction velocity constant, $ K={10^{-3}}{s^{-1}} $ . Two third life for it would be [MP PET 2001; UPSEAT 2003]

Options:

A) 1100 s

B) 2200 s

C) 3300 s

D) 4400 s

Show Answer

Answer:

Correct Answer: C

Solution:

We know that $ k=\frac{2.303}{t}\log \frac{a}{a-x} $

$ {10^{-3}}=\frac{2.303}{t}\log \frac{a}{(a-\frac{2a}{3})},{10^{-3}}=\frac{2.303}{t}\log ,3 $

$ {10^{-3}}=\frac{2.303}{t}\times 0.4771,t=\frac{2.303\times 0.4771}{{10^{-3}}} $

$ =3300\sec $



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