If there are 10^3 cells per mL at the middle of log phase, and the generation time of the cells

step 1 In this problem, we're asked to consider a colony of microbes, 10 to the third cells per mill li

If there are 10^3 cells per mL at the middle of log phase,...

If there are $10^{3}$ cells per $\mathrm{mL}$ at the middle of log phase, and the generation time of the cells is 30 minutes, how many cells will there be 2 hours later?
a) $2 \times 10^{3}$
b) $4 \times 10^{3}$
c) $8 \times 10^{3}$
d) $1.6 \times 10^{4}$
e) $1 \times 10^{7}$

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Key Concepts

Exponential Growth

Exponential growth is a process where the number of cells increases by a constant factor in equal time periods, leading to a rapid rise in population size. This concept is foundational in understanding how biological populations expand, particularly during optimal growth conditions.

Generation Time

Generation time, also known as doubling time, is the period required for a cell population to double its number. It is crucial for calculating population increases in exponential growth scenarios, serving as a measure of reproductive rate in microbial cultures.

Log Phase

The log phase, or exponential phase, is a period in the growth curve of a cell population where cells divide at a constant and maximum rate. This phase is important because it provides a clear example of exponential growth, making it easier to model and predict changes in cell numbers over time.

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