A certain radioactive isotope has a half life of 327 years. Determine the annual decay rate, k.
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A certain radioactive isotope has a half life of 327 years. Determine the annual decay rate, k.

[From: ] [author: ] [Date: 12-10-17] [Hit: ]
Could someone show me how to do it?e^-k x 327 = 1/2 = .-327k = ln(.5) = -.K = .6931/327 = .......
A. 3%
B. .2%
C. .3%
D. 2%

Could someone show me how to do it?

-
let initial intensity = I
Let k = annual decay rate

I/2 = I e^-k x 327

e^-k x 327 = 1/2 = .5

-327k = ln(.5) = -.6931

K = .6931/327 = .0021/year or 2% Answer D
1
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