Answer to Question #99890 in General Chemistry for Beverlie

Question

Radon is a naturally occurring radioactive gas found in the ground and in building materials. It is easily inhaled and emits alpha particles when it decays. Cumulative radon exposure is a significant risk factor for lung cancer.
1. Calculate the density of radon at 325 K and 0.950 atm of pressure. answer in g/L
2. Are radon concentrations likely to be greater in the basement or on the top floor of a building?

Answer 1

1. Use Ideal Gas Law to calculate density of Radon at temperature and pressure given:

$$PV = nRT$$

$$PV=\frac{m}{M}RT$$

$$\frac{m}{V}= \frac{PM}{RT}$$

$$d = \frac{PM}{RT} = \frac{0.950 \times 222}{0.082 \times 325} = 7.91 \frac{g}{L}$$

2 . As M(R) is bigger than of the air (M(air)= 29g/mol), Radon is likely to accumulate in the basement of a building.