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Thevolume of a spherical molecule can br estimated asV=b/4N A where b is the van

ID: 860929 • Letter: T

Question

Thevolume of a spherical molecule can br estimated asV=b/4NA where b is the van der Waals parameter andNA is Avogadro's number. Justify this relationship byconsidering a spherical molecule of radius r, with volume V= 4/3? r3 . What is the volume centered at the moleculethat is excluded for the center of mass of a second molecule interms of V? Multiply this volume by NA and set equal tob. Apportion this volume equally among the molecules to arrive atV=b/4NA Calculate the radius of a methane moleculefrom the value of its ven der Waals parameter b.

Explanation / Answer

Van der Waal

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