The half-life of 234U, uranium-234, is 2.52 105 yr. If 97.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

1 answer

2.52*10^5 = 252 thousand
do it all in thousands of years
.5 = e^-k(252)
ln .5 = -252 k
solve for k
then
.974 = e^-kt
ln .974 = - k t solve for t