Question

The radius of a carbon atom is 7 x 10^-11m and the mass is 1.994 x 10^-23g. What is the density of the carbon atom?

a. 2.85 g/cm³
b. 3.00 g/cm³
c. 2.15 g/cm³
d. 3.50 g/cm³

Answer 1

To find the density of a carbon atom, you need to calculate the mass and volume. First convert the mass from grams to kilograms. Then use the formula for the volume of a sphere to calculate the volume. Finally, divide the mass by the volume to find the density.

Step-by-step explanation:

The density of a carbon atom can be calculated by using the formula:

Density = Mass / Volume

First, convert the mass of the carbon atom from grams to kilograms: 1.994 x 10^-23 g = 1.994 x 10^-26 kg.

Next, calculate the volume of the carbon atom using the formula for the volume of a sphere:

Volume = (4/3) * π * radius^3

Substituting the given radius (7 x 10^-11m) into the formula, we get:

Volume = (4/3) * π * (7 x 10^-11m)^3

Finally, divide the mass by the volume to calculate the density:

Density = (1.994 x 10^-26 kg) / [(4/3) * π * (7 x 10^-11m)^3]

Simplifying this expression will give you the density of the carbon atom.