The decay rate of a certain chemical is 9.8% per year what is the half life?
1 Answer
Jul 31, 2016
Approximately
Explanation:
The proportion left at the end of one year is:
#(100-9.8)/100 = 90.2/100 = 0.902#
The proportion left at the end of
#0.902^t#
To find the half life we want to find
#0.902^t = 0.5#
Taking logs of both sides, we have:
#t log(0.902) = log(0.902^t) = log(0.5)#
Hence