Posted by kela on Friday, November 9, 2012 at 6:00pm.
general equation
amount = starting (1/2)^(t/k) , where t is the time and k is the half-life period
a)
.945 = 1(.5)^1/k
ln .945 = (1/k)ln.5
1/k = ln.945/ln.5
k = ln.5/ln.945 = 12.25 years
b)
.65 = (.5)^t/12.25
t/12.25 = ln.65/ln.5 = .621488..
t = 7.61 years
Related Questions
Calc - A sample of a radioactive substance decayed to 93.5% of its original ...
calculus - The rate at which an amount of a radioactive substance decays is ...
Science - Radioactive substance decays so that after t years, the amount ...
Calculus-derivatives - Verify if these are correct answers. 1. The derivative of...
calculus - Carbon-14 is a radioactive substance produced in the Earth's ...
MATH! - The mass of a radioactive substance follows an exponential decay model, ...
Math/Calculus - After 5 days, a particular radioactive substance decays to 37% ...
Physics - If a sample of a radioactive isotope has a half-life of 5 year(s), how...
Chemistry - A radioactive sample contains 3.25 1018 atoms of a nuclide that ...
Chemistry - How much a 2.00 g 239 Pu would have decayed after 1.6 x 10^4 years? ...
For Further Reading