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a model of C540540 fullrene (a carbon allotrope). A C540540 'buckyball' is a quasi-spherical allotrope of...

a model of C540540 fullrene (a carbon allotrope). A C540540 'buckyball' is a quasi-spherical allotrope of carbon, made up of 540 covalently-bonded carbon atoms.

(a) If a typical C540540 buckyball can be modelled by a sphere with a diameter of 2.7 nm, what would you expect the volume of a C300300 fullrene to be? (i.e. a buckyball made up of 300 carbons)? [enter your answer in nm33]

V =____ nm33

(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 C300300 (according to the values given in this problem)?

ρρ = ____ kg/m3

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