If a bacterial cell culture contains 2 cells at time zero, 8 cells one hour later, 32 cells after 2 hours, and 128 cells after 4 hours, then which of the following describes the growth of this culture?
A) g = 0.5 h, v = 5 h^-1
B) g = 0.5 h, v = 2 h^-1
C) g = 2 h, v = 0.5 h^-1
D) g = 1 h, v = 1^-1

B) g = 0.5 h, v = 2 h^-1

Explanation:

Generation time is the time taken for a bacterial cell to divide and produce an offspring. Bacterial cells divide exponentially.

The total number of cells is given as =2n x initial number

[n = number of generations]

So if the total is 8 cells:

8=2n x 2

2n=4

n=2

That means 2 generations have arose

Generation time is given as

where t=the time taken

if t=1hour and n=2

Generation time = = 0.5hour

Generation time, g =0.5h, and the rate of generation (growth rate), v is 2 per hour

the cells uses some of the atoms of the glucose molecules to atp molecules. the atoms of the glucose molecules will then be converted into energy which will be eventually stored in atp. the energy produced which are stored in atp are coming from the glucose’s chemical bonds.