A root cellar receives an input of 0.1µCi of radon-222 per hour through the dirt floor. Radon-222 has an approximate half-life of 3.8 days.
The part of question left out is:
If the volume of the room is 10m3 how much outside area must be supplied to keep radon levels below the EPA recommended limit of 4pCi/l.
EPA recommended level of radon=4pCi/L
Volume of the room= 10m3 =1000L
Allowed limit of Rn-222=40000pCL="4.0e^{-8}Ci"
Input radiation="1.0e^{-6}Ci\/hr" =1.0pCi/L/hr
By supplying air of 2500L/hr the concentration is always maintained at "\\frac{1.0e^{-6}}{2500}=4.0e^{-10}L"
All the input radiation is distributed over the incoming air and flushed out
Air to be supplied =2500L/hr
=2.5m3/hr
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