The image above is a model of C540 fullrene (a carbon allotrope). A C5405 'buckyball' is...

The image above is a model of C540 fullrene (a carbon allotrope). A C5405 'buckyball' is a quasi-spherical allotrope of carbon, made up of 540 covalently-bonded carbon atoms.

(a) If a typical C540 buckyball can be modelled by a sphere with a diameter of 2.7 nm, what would you expect the volume of a C180 fullrene to be? (i.e. a buckyball made up of 180 carbons)? [enter your answer in nm3]

V = nm3

(b) If carbon has a mass of 12 g/mol, and the buckyball is essentially empty (i.e. it is just made up of carbons), what is the predicted density of C180 (according to the values given in this problem)?

ρ = kg/m3

Expert Solution

Volume of sphere of buckyball depends on the number of atoms it has i.e.

Also, Volume of sphere depends on cube of the diameter of sphere i.e.

Thus,

i.e.

Density of a material is given as :

genius_generous answered 2 years ago

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