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

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Answer 2

Hey dear,

● Answer -
Age = 40.87 years

● Explaination -
# Given -
Let T be half life of tritium.
T = 12.3 years
A/A0 = 1/10

# Solution -
Equation of radioactivity -
A = A0 × 2^(-t/T)

Solving this for t,
t = T/0.693 ln(A0/A)
t = 12.3 / 0.693 × ln(10)
t = 17.75 × 2.303
t = 40.87 years

Therefore, the age of given bottle of wine is 40.87 years.

Hope this help you...