The half life of `Tc^(99)` is `6.0 hr`. The delivery of a sample of `Tc^(99)` from the reactor to the nuclear medicine lab of a certain hospital takes

Question

The half life of `Tc^(99)` is `6.0 hr`. The delivery of a sample of `Tc^(99)` from the reactor to the nuclear medicine lab of a certain hospital takes

The half life of `Tc^(99)` is `6.0 hr`. The delivery of a sample of `Tc^(99)` from the reactor to the nuclear medicine lab of a certain hospital takes `3.0 hr`. What is the minimum amount of `Tc^(99)` that must be shipped in order for the lab to receive `10.0 mg` ?
A. `20.0 mg`
B. `15.0 mg`
C. `14.1 mg`
D. `12.5 mg`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`t1//2=6` hour ` " " l=(0.693)/(6) "hour"^ (-1)`
`lambda=(l)/(t) ln (N_(0))/(N) rArr (0.693)/(6) =(l)/(3) ln ((x)/(10)) " " x rarr "initial amount of " Tc^(99)`
`(x)/(10)=e^((0.693)/(6))`
`x=14.1 mg`

4 views Answered 2023-02-05 15:29