Answer:
d = 9.08 Kg/m³
Radon concentrations are greater in the basement.
Explanation:
To find the density of radon, we need to use the ideal gas law:
(1)
<em>where, P: pressure, V: volume, n: moles of gas, T: absolute temperature y R: ideal gas constant.</em>
<u>Knowing that the number of moles is:</u>
(2)
<em>where m: mass of gas, and M: molar mass of gas, </em>
<u>Then, we can replace the number of moles into equation (1)</u>:
<u>The density of the gas is giving by: </u>
(3)
<em>where: m: mass and V: volume of gas</em>
Now, we can calculate the density of Radon:
The ²²²Rn is produced by the decay of radium isotope ²²⁶Ra from the uranium-238 decay chain. Uranium is present in ground minerals, from which the radon gas can emerge and then accumulate in basements of buildings, due to its high density. <u>Hence, because of its high density compared to the air (about 1.225 Kg/m³), radon concentrations are likely to be greater in the basement than on the top floor of a building.</u>