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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?
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A bacterium divides every 35 minutes. If a culture containing 105 cell...
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A bacterium divides every 35 minutes. If a culture containing 105 cell...
Calculation of Cell Concentration
To calculate the cell concentration per ml after 175 minutes, we can use the equation:
Cell Concentration = Initial Cell Concentration * (2^(t/g))
Where:
- Initial Cell Concentration is the concentration at the start of the growth period.
- t is the time in minutes.
- g is the generation time in minutes.
Given Information
- Initial Cell Concentration: 105 cells/ml
- Generation Time: 35 minutes
- Time: 175 minutes
Calculation
1. Calculate the number of generations that have occurred during the growth period:
- Number of Generations = Time / Generation Time
- Number of Generations = 175 minutes / 35 minutes = 5 generations
2. Calculate the final cell concentration using the equation:
- Cell Concentration = Initial Cell Concentration * (2^(Number of Generations))
- Cell Concentration = 105 cells/ml * (2^5)
- Cell Concentration = 105 cells/ml * 32
- Cell Concentration = 3360 cells/ml
Answer
After 175 minutes, the cell concentration in the culture will be 3360 cells/ml.
Explanation
During the growth period, each bacterium divides every 35 minutes, which means that the number of bacteria doubles every generation. After 175 minutes, 5 generations have passed, resulting in a total increase in cell concentration. Starting with an initial concentration of 105 cells/ml, each generation doubles the concentration. Therefore, the final concentration after 175 minutes is 3360 cells/ml.
To calculate the cell concentration per ml after 175 minutes, we can use the equation:
Cell Concentration = Initial Cell Concentration * (2^(t/g))
Where:
- Initial Cell Concentration is the concentration at the start of the growth period.
- t is the time in minutes.
- g is the generation time in minutes.
Given Information
- Initial Cell Concentration: 105 cells/ml
- Generation Time: 35 minutes
- Time: 175 minutes
Calculation
1. Calculate the number of generations that have occurred during the growth period:
- Number of Generations = Time / Generation Time
- Number of Generations = 175 minutes / 35 minutes = 5 generations
2. Calculate the final cell concentration using the equation:
- Cell Concentration = Initial Cell Concentration * (2^(Number of Generations))
- Cell Concentration = 105 cells/ml * (2^5)
- Cell Concentration = 105 cells/ml * 32
- Cell Concentration = 3360 cells/ml
Answer
After 175 minutes, the cell concentration in the culture will be 3360 cells/ml.
Explanation
During the growth period, each bacterium divides every 35 minutes, which means that the number of bacteria doubles every generation. After 175 minutes, 5 generations have passed, resulting in a total increase in cell concentration. Starting with an initial concentration of 105 cells/ml, each generation doubles the concentration. Therefore, the final concentration after 175 minutes is 3360 cells/ml.
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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 Description
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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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