Answer:
Data given:
A sample of bacteria is decaying according to a half life model.
The sample begins with 900 bacteria and after 19 minutes there are 360 bacteria.
Time taken for the count of bacteria to reduce to 10 bacteria = ?
As we know, the formula for the exponential decay, according to the half-life model, is given as -
where - is the initial quantity
- is the remaining quantity after time t
- decay constant
- elapsed time
Using the above information, we can find the time taken for the count of bacteria to reduce to 10 bacteria as -
1. The sample begins with 900 bacteria and after 19 minutes there are 360 bacteria.
2. Now, we can find the time taken for the count of bacteria to reduce to 10 bacteria as -
Thus, the time taken for the count of bacteria to reduce to 10 bacteria is approximately 93 minutes (rounded to nearest whole number) .
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