The diameter of the He He atom is approximately 0.10 nm nm . Calculate the density of the He atom in g/cm 3 g/cm3 (assuming that it is a sphere).

Explanation:

Density is defined as the ratio of mass per unit volume of a substance.

Density = Mass/Volume

Since the shape of the Helium atom is a sphere, we will use the formula for calculating the volume of a sphere to get the volume of helium

Volume of a sphere = 4/3πr³ where r is the radius of the sphere.

Given the diameter of the sphere = 0.10nm

radius of the sphere = 0.10/2 = 0.05nm = 5*10⁻⁹cm

Volume of the sphere = 4/3 * 3.14 * (5*10⁻⁹)³

V =  4/3 * 3.14 * 125*10⁻²⁷

V = 1,570*10⁻²⁷/3

V = 523.33*10⁻²⁷

V =  5.233*10⁻²⁵cm³

Mass of the Helium atom = 6.6464731 × 10⁻²⁴ g

Density of the Helium atom in g/cm³ = 6.6464731 × 10⁻²⁴ g/5.233*10⁻²⁵cm³

Density of the Helium atom in g/cm³ = 1.27 * 10⁻²⁴⁻⁽⁻²⁵⁾g/cm³

Density of the Helium atom in g/cm³ = 1.27 * 10⁻²⁴⁺²⁵g/cm³

Density of the Helium atom in g/cm³ = 1.27 * 10¹g/cm³

Density of the Helium atom in g/cm³ = 12.7g/cm³

Hence the density of the He atom in g/cm³ is 12.7g/cm³

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