Question

-0. A bacterium divides every 35 minutes. If a culture
containing 105 cells per ml is grown for 175
minutes, what will be the cell concentration per ml
after 175 minutes?
(2) 32 x 10^5 cells
(1) 35 x 10^5 cells
(3) 175 x 10^5 cells
(4) 85 x 10^5 cells​

Answer 1

Answer:

32 x $10^{5}$ cells.

Explanation:

It is given that a bacterium divides every 35 minutes.  

At 0 minutes, the culture contains $10^{5$cells/ml

After 35 minutes, the culture will contain 2 x $10^{5}$ cells /ml

Similarly, after 175 minutes, that is after 5 generations, the number of cells will be $2^{5}$   x $10^{5\\}$cells/ml

This is equal to 32 x $10^{5}$cells/ml

Thus, the correct answer is 32 x $10^{5}$ cells.

REGARDS