Explanation Given: Radius of Xe atom is 1.3×10 −8 cm Volume of flask is 100 ml Pressure of the flask is 1 atm Temperature of flask is 273 K Here, according to the given question, the radius of Xe atom is given. We know that atoms are spherical in shape. So, we can calculate the volume of one Xe atom using the formula for volume of sphere. Now, since pressure, volume and temperature of the flask is given, so we can calculate the number of moles of Xe atom present in the flask. Now after calculating the number of atoms of Xe in the flask. To calculate the fraction of volume, we will calculate the volume of Xe atom in the flask. Finally, we can calculate the fraction of Xe atom using the volume occupied by Xe atom and volume of the flask. Formula used: Number of moles can be calculated using the ideal gas equation n = P V R T Where n=number of moles P = Pressure of the gas V = volume of the gas T = Temperature R= universal gas constant Number of atoms, N can be calculated using the formula Number of atom, N = Number of moles × Avagadro's Number Volume of atom can be calculated using the formula Volume of atom = Volume of one spherical atom × Number of atom Fraction of volume occupied can be calculated as F r a c t i o n = V o l u m e o f a t o m o c c u p i e d V o l u m e o f t h e v e s s e l w h e r e a t o m i s k e p t The volume of the sphere is calculated using the formula V = 4 3 πr 3 Calculation: The atoms are spherical Therefore, Volume of one spherical Xe atom V = 4 3 πr 3 V = 4 3 × 3 ...

Chemistry: Structure and Properties, Books a la Carte PACKAGE W/MasteringChemistry, 2nd Edition

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ISBN: 9780134777559

Author: Tro, Nivaldo J.

Publisher: PEARSON

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Chapter 10, Problem 120E

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The fraction of the volume that is occupied by Xe atom

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Chapter 10, Problem 119E

Chapter 10, Problem 121E

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The fraction of the volume that is occupied by Xe atom

Solution Summary: The author explains how a spherical atom can be calculated using the ideal gas equation n = P V R T.

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To determine: The fraction of the volume that is occupied by Xe atom

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Chapter 10 Solutions

To determine:

The fraction of the volume that is occupied by Xe atom