SOLUTION: The half-life of messenger RNA (mRNA) in the cytoplasm of a bacterial cell is approximately 3.3 minutes. Assuming continuous decay, if 3000 mRNA molecules are produced in a bacteri

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Question 1058057: The half-life of messenger RNA (mRNA) in the cytoplasm of a bacterial cell is approximately 3.3 minutes. Assuming continuous decay, if 3000 mRNA molecules are produced in a bacterial cell before synthesis is suddenly halted, how long will it take for only 100 molecules to remain?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The half-life of messenger RNA (mRNA) in the cytoplasm of a bacterial cell is approximately 3.3 minutes
Assuming continuous decay, if 3000 mRNA molecules are produced in a bacterial cell before synthesis is suddenly halted, how long will it take for only 100 molecules to remain?
:
Use the decay formula; A = Ao*2(-t/h), where:
A = Amt remaining after t time (100)
Ao = Initial amt (3000 ml)
t = time of decay
h = half-life of substance (3.3 min)
:
3000*2^(-t/3.3) = 100
2^(-t/3.3) = 100/3000
2^(-t/3.3) = 1/30
Using nat logs
-t%2F3.3ln(2) = ln%281%2F30%29
-t%2F3.3*.693 = -3.401
-t%2F3.3 = -3.401%2F.693
-t%2F3.3 = -4.907
t = -4.907 * -3.3
t = +16.2 min to decay to 100 molecules