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?

Question

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? (A) 32 X 105 cells (B) 5 X 105 cells (C) 35 X 105 cells (D) 175 X 105 cells

Tardigrade Admin · Accepted Answer

The 'n', the time difference is 175/35 = 5 minutes, then, 2n = 25 = 32. The culture initially had 105 cells/ml, therefore, 32 X 105 cells will be present after 175 minutes.

Q. 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?

32 X 10⁵ cells

5 X 10⁵ cells

35 X 10⁵ cells

175 X 10⁵ cells

The 'n', the time difference is 175/35 = 5 minutes, then, 2ⁿ = 2⁵ = 32.
The culture initially had 10⁵cells/ml, therefore, 32 X 10⁵ cells will be present after 175 minutes.

Q. 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?

32 X 105 cells

5 X 105 cells

35 X 105 cells

175 X 105 cells