The answer to 2) is 6.301 minutes according to the back of the book. I still haven't figured out how to solve this.
Please any help would be greatly appreciated.
Find the half-lives of the substances:
1) Einsteinium-253, which delays at a rate of 3.406% per day.
2) A radioactive substance that decays at a continuous rate of 11% at minute.
I don't know where to start. For the first one is the formula something like this? Q = Q0(1.03406)^t, solve for t. But whenever I solve it the answer comes out to be negative.
Also the second problem I don't know how to set up the equation. Does it involve e? Q = Q0(e^0.11)^t or Q = Q0(e^0.89)^t and solve for t?
Please help me with these problems. Thank you so much.
Thank you for your help pickslides. I got 20 days for that one. However when I apply the same concept to the second problem I get 5.948. This isn't correct because the answer in the back of the book says 6.301 minutes. How would I solve the second problem?
Please correct me if I'm wrong, but using the formula you gave me I got the answer 5.9243.
This is how I solved it,
0.5 = e^-0.117t
0.5 = 0.889585193t
log 0.5 = t log 0.889585193
t = 5.920586461
I have tried both log and ln and it came out the same way. Can you verify your work that it comes out to be 6.301?