I have a solution to the following problem and just need to know if it is correct: Find the half-life of a radioactive material if after 1 year 99.57% of the initial amount remains. I used an initial amount of 1 gram.
.9957=1e^k(1)
k=ln.9957
k=-.00431 (approx.)
.5=1e^-.00431(1)
t=1/-.00431 ln(1/2)=160.82 years (approx.)
.9957=1e^k(1)
k=ln.9957
k=-.00431 (approx.)
.5=1e^-.00431(1)
t=1/-.00431 ln(1/2)=160.82 years (approx.)