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A microbiologist inoculates a growth medium with 100 bacterial cells/ml. If the generation time of the species is 1 hour, and there is no lag phase, how long will it be before the culture contains more than 10,000 cells/ml?
a) 2 hours
b) 3 hours
c) 24 hours
d) 7 hours

Answer :

Answer:

Option D

Explanation:

Given -

The lag phase is zero.

Generation time is the time required to double the population of bacteria.

This means that after every one hour the population of bacteria will get double.

Bacterial count at the starting when t [tex]= 0[/tex] is [tex]100[/tex]

Bacterial count at  t [tex]= 1[/tex] is [tex]200[/tex]

Bacterial count at  t [tex]= 2[/tex] is [tex]400[/tex]

Bacterial count at  t [tex]= 3[/tex] is [tex]800[/tex]

Bacterial count at  t [tex]= 4[/tex] is [tex]1600[/tex]

Bacterial count at  t [tex]= 5[/tex] is [tex]3200[/tex]

Bacterial count at  t [tex]= 6[/tex] is [tex]6400[/tex]

Bacterial count at  t [tex]= 7[/tex] is [tex]12800[/tex]

Hence, after seven hours the culture will contains more than 10,000 cells/ml

Option D is correct

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