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A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20min.If the concentration of bacteria is 10^4 the colony becomes harmful.starting from a colony with an initial concentration of 5.The time taken for the colony to become harmful is?
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A bacterial colony grows via cell division where each mother bacterium...
Time taken for a bacterial colony to become harmful
Given Data:
- Initial bacterial concentration = 5
- Concentration at which colony becomes harmful = 10^4
- Each mother bacterium produces two daughter cells in 20 min
Calculation:
- Initially, there are 5 bacteria in the colony.
- After 20 minutes, each bacterium would produce two daughter cells, and the total number of bacteria in the colony would be 5 x 2 = 10.
- After 40 minutes, each of the 10 bacteria in the colony would produce two daughter cells, and the total number of bacteria would be 10 x 2 x 2 = 40.
- After 60 minutes, the total number of bacteria in the colony would be 40 x 2 x 2 = 160.
- After 80 minutes, the total number of bacteria in the colony would be 160 x 2 x 2 = 640.
- After 100 minutes, the total number of bacteria in the colony would be 640 x 2 x 2 = 2560.
- After 120 minutes, the total number of bacteria in the colony would be 2560 x 2 x 2 = 10240.
Answer:
The time taken for the colony to become harmful is 120 minutes or 2 hours.
Explanation:
Starting from an initial concentration of 5, the colony becomes harmful when the concentration reaches 10^4. We know that the bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20 min.
So, we can calculate the total number of bacteria in the colony after every 20 minutes by multiplying the previous number of bacteria by 2x2. We keep doing this until the concentration reaches 10^4.
In this case, the colony becomes harmful after 120 minutes or 2 hours.
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A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20min.If the concentration of bacteria is 10^4 the colony becomes harmful.starting from a colony with an initial concentration of 5.The time taken for the colony to become harmful is?
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A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20min.If the concentration of bacteria is 10^4 the colony becomes harmful.starting from a colony with an initial concentration of 5.The time taken for the colony to become harmful is? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20min.If the concentration of bacteria is 10^4 the colony becomes harmful.starting from a colony with an initial concentration of 5.The time taken for the colony to become harmful is? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20min.If the concentration of bacteria is 10^4 the colony becomes harmful.starting from a colony with an initial concentration of 5.The time taken for the colony to become harmful is?.
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