1.

The radioisotope ""_(15)^(32)P is used in biochemical studies. A sample containing this isotope has an activity 1000 times the detectable limit. How long could an experiment be run with the sample before the radioactivity could no longer be detected ? Half-life of ""_(15)^(32)P is 14.2 days

Answer»

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Solution :The minimum NUMBER of P atoms, the radioactivity of which could be detected, is one, and so the sample will initially contain 1000 atoms of P.
Thus, `(N^(0))/(N) = (1000)/(1)`
Now, `lamda= (2.303)/(t) "log" (N^(0))/(N)`
`(0.6932)/(14.2) = (2.303)/(t) "log" (1000)/(1)`
or t=141.5 DAYS


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