Answer to Question #73717 in Inorganic Chemistry for pradeep sahu

Question

Normal water contains isotope of hydrogen 3H, tritium. It has a half-life of 12.3 years.
Determine the age of a bottle of wine whose 3H radiations is about 1/10 that present in
new wine.

Answer 1

Half-time T = 12,3 years.
The age of a bottle t:
T = - tln2/ln∆N
-tln2 = Tln∆N
t = Tln∆N/-ln2 = 12.3•ln(0,1)/-ln2 = 12.3•(-2.3) / -0.693 =40.82 years