MATH SOLVE

7 months ago

Q:
# The age of an ancient tree trunk is estimated using radiocarbon dating. If the trunk has a C-14 decay rate that is 34% of what it is in living plants, how old is the trunk? The half-life of C-14 is 5730 years.

Accepted Solution

A:

Answer:8923 yearsStep-by-step explanation:Half life of C-14 = 5730yrsdecay rate= 34%Halt life (t^1/2) = (ln2) / k5730 = (ln2) /kk = (ln2) / 5730k = 1.209 * 10^-4For first order reaction in radioactivity,ln(initial amount) = -ktln(34/100) = -(1.209*10^-4)t-1.0788 = -(1.209*10^-4)tt = -1.7088/ -1.209*10^-4t = 8923 years