SOLUTION: Population of a particular bacterial colony; i.e. the number of cells at time t (hours) is given by the function (N(t)=N0^e^kt) where k is the growth constant
When this bacterium
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When this bacterium
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Question 1161540: Population of a particular bacterial colony; i.e. the number of cells at time t (hours) is given by the function (N(t)=N0^e^kt) where k is the growth constant
When this bacterium is grown under ideal laboratory conditions, the number of
cells in a culture doubles every 30 minutes. Find the value of k to 2 decimal
places
How Do I find K value for this question? Answer by ikleyn(52779) (Show Source):
You start from N = N(0) bacteria.
After 30 minutes, you have 2N(o) bacteria, which gives you THIS EQUATION
2N(0) = .
Next, you divide both sides by N(0). You get then
2 = .
Now, you take natural logarithm of both sides
ln(2) = 30k.
Hence, k = = USE YOUR CALCULATOR = 0.023105
and you can round this value AS YOU WANT.
Solved.
Is my explanation clear to you ?
If you still have questions, do not hesitate to ask me.
