Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Population growth of humans and Bacteria follows first order growth kinetics. Suppose 100 bacteria are placed in a flask containing nutrients for the bacteria so that they can multiply. A study at 35ºC gave the following results :
Time (Minutes) 0 15 30 45 60
No. of bacteria 100 200 400 800 1600
(i) The rate constant for the first order growth of Bacteria can be calculated using:
A
k = 
log 10 
0.0462 min –1 150 min
log 10 0.0462 min –1 150 min
B
k = 
0.462 min –1 90 min
0.462 min –1 90 min
C
k = 
log 10 
4.62 min –1 160 min
log 10 4.62 min –1 160 min
D
k = 
(ii) The rate constraint for first order growth is – 46.2 min –1 (iii) At what time, there will be 6400 bacteria in the Flask : 120 min
(ii) The rate constraint for first order growth is – 46.2 min –1 (iii) At what time, there will be 6400 bacteria in the Flask : 120 min
Text Solution
Verified by ExpertsThe correct answer is:
0.0462
(i)
Sol. k = 
log 10 
(ii)
Sol. 0.0462 min –1
(iii)
Sol. 90 min
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