Final answer:
To calculate the fraction of space that Rn atoms occupy in a sample of radon at STP, determine the volume of one Rn atom and divide it by the total volume of the sample.
Step-by-step explanation:
The ideal gas equation states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. When deriving this equation, we assume that the volume of the gas atoms/molecules is negligible.
To calculate the fraction of space that Rn atoms occupy in a sample of radon at STP, we need to find the volume of one Rn atom and divide it by the total volume of the sample. The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius.
In this case, the radius of a Rn atom is given as 1.5 A. Converting the radius to meters (1 A = 10^(-10) m), we can find the volume of one Rn atom. Dividing this by the total volume of the sample, we can calculate the fraction of space occupied by Rn atoms.