Problem: The radius of a xenon atom is 1.310-8 cm. A 100-mL flask is filled with Xe at a pressure of 1.3 atm and a temperature of 276 K .Calculate the fraction of the volume that is occupied by Xe atoms. (Hint: The atoms are spheres.)

FREE Expert Solution

Calculate the volume of 1 xenon atom:

V = 9.2028x10-24 cm3

Calculate the number of moles of Xe present in the flask:

$\mathbf{PV}\mathbf{=}\mathbf{nRT}\phantom{\rule{0ex}{0ex}}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{=}\frac{\mathbf{n}\overline{)\mathbf{RT}}}{\overline{)\mathbf{RT}}}\phantom{\rule{0ex}{0ex}}\overline{)\mathbf{n}\mathbf{=}\frac{\mathbf{PV}}{\mathbf{RT}}}$

V = 0.100 L

Problem Details

The radius of a xenon atom is 1.310-8 cm. A 100-mL flask is filled with Xe at a pressure of 1.3 atm and a temperature of 276 K .

Calculate the fraction of the volume that is occupied by Xe atoms. (Hint: The atoms are spheres.)