100 grams of a certain element has decayed to 50 grams in 5 years. Find, to the nearest integer, the rate of decay.
Please show me how to solve this
Best answer gets ten points!!!!
Please show me how to solve this
Best answer gets ten points!!!!
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fraction remaining = e^kt , so
0.5 = e^5k
5k = ln 0.5
k = ln 0.5/5 = -0.1386 <------------
equivalent to a continuous decay rate of 13.86% => 14% <----------
0.5 = e^5k
5k = ln 0.5
k = ln 0.5/5 = -0.1386 <------------
equivalent to a continuous decay rate of 13.86% => 14% <----------
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... An = Ao (1/2)^(n/half-life)
or 50 = 100 (1/2)^(5/half-life)
or (1/2)^(1) = (1/2)^(5/half-life)
or 1 = 5/half-life
or half-life = 5 years
or decay-rate = 5 / ln(2) = 7.213475204444817
or 50 = 100 (1/2)^(5/half-life)
or (1/2)^(1) = (1/2)^(5/half-life)
or 1 = 5/half-life
or half-life = 5 years
or decay-rate = 5 / ln(2) = 7.213475204444817