Question

You are given a 1 liter bacterial culture in exponential stage of growth. The generation time of the bacteria is known to be 30 minutes. When given to you the concentration of bacteria is 2x10^3 bacteria per ml (milliliter). Assuming space and nutrients are unlimited during your experiments. How many total bacteria would you after five hours of growth?
a. 2,048,000,000 bacteria

b. 4,096,000 bacteria

c. 1,024,000 bacteria

d. None of the answers given

e. 2,048,000 bacteria

f. 1,024,000,000 bacteria

Answer 1

Answer:

Option-A

Explanation:

A bacteria divides by binary fission which divides a parent bacteria into the two daughter cells and generation time refers to the average time difference between two consecutive generations.

The bacterial cell grows by the exponential function that is by $2^{number of generation}$ x initial population of bacteria.

In the given question,

Initial population

the initial population of bacteria - 2x 10³ per ml

So per liter, the bacterial population will be 2 x 10 ⁶

Generation time

1 generation time of bacteria is 30 min.

so 5 hours will have- $\frac{300}{30}$= 10 generations

New bacterial population

Using formula  $2^{number of generation}$ x initial population of bacteria

$2^{10}$ x (2 x 10⁶)

= 1048 x (2 x 10⁶)

2048 x 10⁶

Thus, Option-A is the correct answer.