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The radioaisotope of hydrogen has a half...

The radioaisotope of hydrogen has a half-life of 12.33 y. What is the age of an old bottle of wine whose `._(1)^(3)H` radiation is 10% of that present in a new bottle of wine

A

41 y

B

123.3 y

C

1.233 y

D

410 y

Text Solution

Verified by Experts

The correct Answer is:
A
Because the tritium in water is being replenished, we assume that the amount is constant until the wine is made, and then it decays. We find the number of half – lives from
`N/N_0 = (1/2)^n`
`0.10 = (1/2)^n`
`n log 2 ` = log 10 which gives n = 3.32
Thus the time is
`t = nT_(1//2) = (3.32)(12.32"yr")` = 41 yr
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