Campbell Essential Biology (7th Edition)
Campbell Essential Biology (7th Edition)
7th Edition
ISBN: 9780134765037
Author: Eric J. Simon, Jean L. Dickey, Jane B. Reece
Publisher: PEARSON
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Chapter 15, Problem 14PS

Interpreting Data Because bacteria divide by binary fission, their population size doubles every generation. Suppose the generation time for bacteria that cause food poisoning (for example, Staphylococcus aureus or Salmonella) is 30 minutes at room temperature. The number of cells in a population can be calculated using this formula.

Initial number of cells × 2(Number of generations) = Population size

For example, if a dish of potato salad is contaminated with 10 bacteria, the bacterial population after 1 hour (two generations) is 10 × 22 = 40. Fill in the table below to show how the bacterial population increases when a dish of potato salad is left on the kitchen counter after dinner.

Time (Hours) Number of Generations Number of Bacteria
0 0 10
1 2 40
2 4  
4 8  
6 12  
8 16  
10 20  
12 24  

Why does the rate of increase change over time? Describe how a graph of the data would look.

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What is the generation time (in minutes) of a bacterial population that increases from 10,000 cells to 10,000,000 cells in fours hours of growth? Show computation.
Disinfectants, be they heat or radiation or chemicals, usually kill a constant proportion of the cells present per unit time if the cells are all equally susceptible. Hence, the term ‘log kill.’ The probability of death is constant over time given a ‘single hit.’ The more cells present at the start, the greater the number killed per unit time and the longer it will take to kill them ‘all.’ One decimal reduction is one log place (exponent).               Log Nt = Log N0 – t/D.   D is the time required for a log kill.   A suspension of 105 CFU/mL of Salmonella is treated with bleach, and 90% of the cells are dead after 10 minutes. How many viable cells per mL would you expect after 30 minutes? Yes, the 30 minutes here implies 3 logs of killing. This is an excellent problem to use with the Death Equation because you can reason it through first, and then solve it using the equation.
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