In: Chemistry
1) The half-life for the first-order decay of 14C is 5730 years. How long will it take for a sample to decay to just 10% of it’s initial amount?
Half life for the first order decay of 14C i.e t1/2 = 5730Y
t1/2= 0.693/λ
λ = 0.693/5730
λ = 0.0001
from first order reaction λ = 2.303/t log a/a-x
time taken for the completion of the 10% of the reaction
t = 2.303/0.0001 log 100/90
t = 23030 log 10/9
t = 1053.7Y