SOLUTION: The radioactive element americium-241 has half the life of 432 years. Suppose we start with a 45-g mass of americium-241, how much would be left after 343 years?
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Question 378561: The radioactive element americium-241 has half the life of 432 years. Suppose we start with a 45-g mass of americium-241, how much would be left after 343 years?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The formula for determining the amount of substance left is , where C is the initial amount, k is the decay constant, and t is time. We must solve for k:
Given the half-life of 432 years, we may plug in t:
Taking ln of both sides,
= -0.00160...
Now, we substitute t = 343 years to our equation to obtain
= 25.95376 (grams)
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