If it takes 200 years for half of the isotope to decay, then we may state:
Hey guys, just found this forum after searching for days about this problem I've got. No where seems to have any relevant answers so I thought I might ask a forum for some help.
Basically I've got a Methods Assignment and I can't seem to work out if what I am doing is correct, any help would be great.
Here's the question:
The mass of a radioactive isotope is given by M=Mo(10)^-kt. It takes 200 years for the mass of the isotope to halve.
Find the initial mass (grams) in terms of M.
I assume Mo_{10}(10) is the initial mass and a logarithm, doesn't say though.
I've tried to solve this question like this:
M=Mo_{10}(10)^{-kt}
M=(-kt)Mo_{10}(10)
M/Mo_{10}(10)=-kt
Mo_{10}(10)/M=1/-kt
Mo_{10}(10)=-M/kt
Is this correct or have I made some kind of mistake, just doesn't seem right to me :/