You can put this solution on YOUR website! How long does it take 12 grams of carbon-14 to decay to 10 grams when the decay is exponential with an annual rate of decay of 0.0124%?
:
Using the decay equation:
12 * (1-.000124)^t = 10
:
.999876^t =
:
log(.999876^t) = log(); divided both sides by 12, using logs
:
t*log(.999876) = log(); using log equiv of exponents
:
-.00005385t = -.07918; find the actual logs
t =
t = 1,470 years
:
:
Check on a calc, enter: 12(1-.000124)^1470 = 10.000
