Chemical Kinetics Question 318

Question: The reaction $ A\to B $ follows first order kinetics. The time taken for 0.8 mole of A to produce 0.6 mole of B is 1 hour. What is the time taken for conversion of 0.9 mole of A to produce 0.675 mole of B-

Options:

A) 2 hours

B) 1 hour

C) 0.5 hour

D) 0.25 hour

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ A\to B $ For a first order reaction Given $ a=0.8mol,( a-x )=0.8-0.6=0.2 $

$ k=\frac{2.303}{1}log\frac{0.8}{0.2}or=2.303,log4 $ again $ a=0.9,a-x=0.9-0.675=0.225 $

$ k=\frac{2.303}{t}\log \frac{0.9}{0.225} $

$ 2.303log4=\frac{2.303}{t}log4 $ Hence t=1 hour



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