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25 votes
25 votes
The half life of radium is 1690 years. if 80 grams are present now, how much will be present in 830 years

User Xpedobearx
by
3.2k points

1 Answer

22 votes
22 votes

Answer:

A(t) = amount remaining in t years

= A0ekt, where A0 is the initial amount and k is a constant to be determined.

Since A(1690) = (1/2)A0 and A0 = 80,

we have 40 = 80e1690k

1/2 = e1690k

ln(1/2) = 1690k

k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

= 80e-0.172

≈ 67.4 g

Explanation:

User Saranga B
by
2.8k points
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