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=43πr3V=43π(1.3×10-8 cm)3

V = 9.2028x10-24 cm3


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

PV=nRTPVRT=nRTRTn=PVRT

V=100 mL×10-3 L1 mL

V = 0.100 L

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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.)

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