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

Solutions

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 1 year ago

Next > < Previous

Related Solutions

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...

Following is the model for the above problem:

Question 2 options: Groovy Juice Mixers, Inc. Groovy Juice Mixers, Inc. mixes specialty drinks out of apple, guava, and papaya juices. Currently it has 1300, 700, and 600 gallons of each of these kinds of juices in inventory, respectively. Groovy currently has two products, Tropical Breeze and Guava Jive, which sell for $2.20 and $1.70 per gallon, respectively. Tropical Breeze is a mixture of all three ingredients that consists of 20% to 25% guava juice, and also 20% to 25%...

The image of a point whose elevation is 1,475 ft above datum appears 53.87 mm from...

The image of a point whose elevation is 1,475 ft above datum appears 53.87 mm from the principal point of a vertical photograph taken from a flying height of 6,000 ft above datum. What would this distance from the principal point be if the point were at datum? Images a, b, and of ground points A, B, and C appear on a vertical photograph taken from a flying height of 8,350 ft above datum. A 6-in-focal length camera was used....

List the factors that comprise the image formation model. Describe each briefly.

(1) The radioactive isotope carbon-11 is used in medical imaging as indicated on the table above....

(1) The radioactive isotope carbon-11 is used in medical imaging as indicated on the table above. How many protons and neutrons are there in a carbon-11 atom? _____protons_____neutrons (2) When the nuclide carbon-11 decays as indicated on the table: the number of protons in the product nuclide is: ______the number of neutrons in the product nuclide is: _______the name of the product nuclide is: ________

1) what class of organic compunds does the carbon-containing reactant in the reaction above belong to...

1) what class of organic compunds does the carbon-containing reactant in the reaction above belong to CH3+CH2+CH2+(C=O) +CH3 +H2 arrows both ways H+? There is a bond in between C and O I put it in brackets and there is a bond between C and CH3? 2) Give the IUPAC name for carbon-containing reactant in the reaction above? 3) Give the product of this reduction/hydrogenation reaction. What is IUPAC name of the product? Explain why aldehyde like ethanol and paropanol...

compare and contrast polymorph and allotrope compare and contrast molarity and molality The strunger the attraction...

compare and contrast polymorph and allotrope compare and contrast molarity and molality The strunger the attraction between the cation and anion in an ionic solid, the _________ the melting point, and the ______the water solubility what are the two properties to consider when considering the ion ion interaction of solid

An article suggests the lognormal distribution as a model for SO2 concentration above a certain forest....

An article suggests the lognormal distribution as a model for SO2 concentration above a certain forest. Suppose the parameter values are μ = 1.9 and σ = 0.8. (a) What are the mean value and standard deviation of concentration? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that concentration is at most 10? Between 5 and 10? (Round your answers to four decimal places.) at most 10 between 5 and...

c++ The above Account class was created to model a bank account. An account has the...

c++ The above Account class was created to model a bank account. An account has the properties (keep the properties private) account number, balance, and annual interest rate, date created, and functions to deposit and withdraw. Create two derived classes for checking and saving accounts. A checking account has an overdraft limit, but a savings account cannot be overdrawn. Define a constant virtual toString() function in the Account class and override it in the derived classes to return the account...

Using the Einstein model, sketch a diagram of the ground state vibrational energies of carbon and...

Using the Einstein model, sketch a diagram of the ground state vibrational energies of carbon and lead atoms, and the potentials which confine them. Explain how the Einstein model fails, and go on to explain how the Debye model makes up for its failures.

Subjects