Find a substance half-life in days. round your answer to the nearest tenths
2 answers:
Answer:
t=6.2days
Step-by-step explanation:
Find a substance half-life in days. round your answer to the nearest tenths
k value=0.1124
N0=33 grams
since the questions says the time it takes for the substance to reduce to half of its size. the initial mass doesn't matter
N=N0e^-kt
N/N0=e^-kt
take laperian log of both sides
Ln(N/N0)=-kt
Ln(0.5)=-0.1124t
-0.693=-0.1124t
t=6.16
t=6.2days
Note: Half life is the time it takes for a radioactive material to reduce to half of its size/mass.
A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)
See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life =
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6.1667882562
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days
Source:
http://www.1728.org/halflif2.htm
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