If a constant release of a gaseous low-level radioactive isotope from a medical

Question

If a constant release of a gaseous low-level radioactive isotope from a medical facility is allowed, what would be the acceptable release rate (in terms of millirem/h) given the data below; Acceptable annual extra individual risk imposed by this release should not exceed I -in-1.000,000. Population density around the facility 15.000 per square mile. Only a radius of I mile around the release site is considered affected. Because of variations in wind direction, weather, and movement of people, an average person is assumed to be exposed to a total cumulative exposure time of about 3 months per year. Due to a rapid decay, the radioactivity is decayed exponentially with a rate of 0.1 rem/mile as it moves from the release outward. The population dose relation which describes all the health effects of this exposure is 10.000 person-rem = I fatality. Ignore the change in the concentration as the radioactivity moves outward.

Explanation / Answer

answer is option (e),Due to a rapid decay the radioactivityis decayed exponentially with a rate of .1rem/mile as it moves from the release outward.

This is due to perhaps the standard defination of radioactivity.

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