The volume of a spherical molecule can be estimated as where b is the van der Wa

Question

The volume of a spherical molecule can be estimated as      where b is the van der Waals parameter and  Na is Avogadro's number. Justify this relationship by considering a spherical moleucle of radus r, with volume V= (4/3) %u03C0 r^3. What is the volume centered at the molecule that is excluded for the center of mass of a second molecule in terms of V? Multiply this volume by Avogadro's number and set it equal to b. Apportion this volume equally among the molecules to arrive at     where b is the van der Waals parameter and  

V=b/(4NA). Calculate the radius of a methane molecule from the value of its van der Waals parameter b.

Explanation / Answer

van der waals value of .069 L/mol for the excluded volume----methane

1 litre = 10^(-3) m^3

r^3 = (3* 0.069 *10 ^(-3) /(4* N*4 pi)

whrere N =6.023 E(23)

you get

radius = 1.89 E(-10) m

means r = 1.89 Angstrom

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