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lymjzt's Question
Biology
Posted 7 months ago
the bacterium houstonius cougarensis has a generation time of 20 minutes starting with one cell in log phase how many minutes does it take to produce 1000 cells
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Answer from Sia
Posted 7 months ago
Answer
It takes 200 minutes to produce 1000 cells of Houstonius cougarensis.
Solution
a
Calculate the number of generations required to reach 1000 cells: To find the number of generations (n), we use the formula 2n=number of cells2^n = \text{number of cells}. We need to solve for n when the number of cells is 1000
b
Use logarithms to solve for n: Taking the logarithm of both sides of the equation 2n=10002^n = 1000, we get nlog(2)=log(1000)n \log(2) = \log(1000). Solving for n gives n=log(1000)log(2)n = \frac{\log(1000)}{\log(2)}
c
Calculate the total time: Multiply the number of generations by the generation time to find the total time in minutes. If the generation time is 20 minutes, then the total time (T) is T=n×20T = n \times 20 minutes
Key Concept
Bacterial growth and generation time
Explanation
The generation time is the time it takes for a bacterial population to double. To find the total time for a population to reach a certain size, we calculate the number of generations required and multiply by the generation time.

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