Question
The decay constant for americium 241 is
. If 5 milligrams ( mg ) of americium 241 is sealed in a laboratory container today, how much will be present in 500 years?
The amount of americium 241 present in 500 years will be approximately
(Round to the nearest whole number.)
The amount of americium 241 present in 500 years will be approximately
(Round to the nearest whole number.)
Ask by Santiago Moreno. in the United States
Nov 02,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The amount of americium 241 present after 500 years will be approximately 2 milligrams.
Solution

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The Deep Dive
To calculate the remaining amount of americium 241 after 500 years, we can use the formula for exponential decay:
where:
-
is the initial amount (5 mg), -
is the decay constant (-0.002108), -
is the time in years (500 years), -
is the remaining amount after time .
Plugging in the values:
Rounding to the nearest whole number, the amount of americium 241 present in 500 years will be approximately 2 mg.