(a) If a typical C540 buckyball can be modelled by a sphere with a diameter of...

(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 nm^3]

(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 C180180 (according to the values given in this problem)?

? = kg/m

Expert Solution

genius_generous answered 2 years ago

4- If the drag force on a smooth sphere depends on the velocity (V), sphere diameter...

4- If the drag force on a smooth sphere depends on the velocity (V), sphere diameter (D), viscosity (?), and density (?), use dimensional analysis to show the drag coefficient on the sphere is a function of the Reynolds number only. (15%) ?

A sphere with a diameter of 70 cm is held at a temperature of 290

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest...

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest at the top of a 65 cm tall incline. There is just enough friction on the incline to make the sphere roll instead of slide. (a) What types of energy does the sphere have at the top? at the bottom? (b) What is the moment of inertia of the sphere? (c) What is the velocity of the sphere when it reaches the bottom of...

Calculate the diameter of a lead sphere that contains the same number of atoms as a...

Calculate the diameter of a lead sphere that contains the same number of atoms as a 2.0 cm diameter aluminum sphere.

A. What is the moment of inertia of a solid iron sphere 20 inches in diameter...

A. What is the moment of inertia of a solid iron sphere 20 inches in diameter about an axis passing through the sphere half way from its center to the surface (you will have to look up its density)? If the sphere rolls down an incline plane that makes an angle 20 degrees with the horizontal, what will be its acceleration? B. Derive the formula for acceleration of a circular disk that rolls down an inclined plane that makes an...

The weight, in kilograms, of cereal in a box can be modelled by a normal distribution...

The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean ? and standard deviation 5.4 kg. Given that 10% of boxes contains less than D kg. Find. a. The value of ?. b. The percentage of boxes that contain more than (D+4) kg. c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (D+3) kg and standard deviation of ?. Given...

A 1.5 kg solid brass sphere is initially at a temperature of 15.0°C, the diameter of...

A 1.5 kg solid brass sphere is initially at a temperature of 15.0°C, the diameter of the brass sphere at this initial temperature is 6.50 cm. (a) If the volume of the sphere is to increase by 2.50%, what is the final temperature of the brass sphere? (b) If the sphere is heated to 225°C. What is the change in the radius of the sphere?

2. Initially, the steel sphere with a diameter of 15 cm with a temperature of 200°C...

2. Initially, the steel sphere with a diameter of 15 cm with a temperature of 200°C was left to cool in the airflow at a temperature of 6 m/s. By making the necessary acceptances, calculate the amount of time the aluminum sphere will fall to a temperature of 50°C. The relevant correlation for forced transport on the sphere; NuD = 2 + (0.4 ReD 0.5+ 0.06 ReD 2/3) Pr 0.6 (μo/μy)1/4

What is the moment of inertia of a solid iron sphere 20 inches in diameter about...

What is the moment of inertia of a solid iron sphere 20 inches in diameter about an axis passing through the sphere half way from its center to the surface (you will have to look up its density)? If the sphere rolls down an incline plane that makes an angle 20 degrees with the horizontal, what will be its acceleration? b. Derive the formula for acceleration of a circular disk that rolls down an inclined plane that makes an angle...

A nonconducting sphere 1.6 m in diameter with its center on the x axis at x...

A nonconducting sphere 1.6 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 5.4 µC/m3. Surrounding the sphere is a spherical shell with a diameter of 3.2 m and a uniform surface charge density σ = -2 µC/m2. Calculate the magnitude and direction of the electric field at the following locations. (a) x = 4.7 m, y = 0 N/C î + N/C ĵ (b) x...

Question