Imagine that each of the three containers in Model 2 contains krypton atoms. The atomic radius of a krypton atom is 88.00 pm. Assuming the atom is a solid sphere, calculate the volume of one krypton atom in liters.

The volume of a krypton atom in liters = 2.86 x 10⁻²⁷ liters

Explanation:

The volume of a sphere is given by the formula below:

V = 4/3 (π)(r³)

where π = 22/7, radius of the krypton atom = 88.00 pm

However, 1 picometre (pm) = 1 x 10⁻¹⁰ cm, converting 88.00 pm to cm will be:

88.00 pm x 10⁻¹⁰ cm/ 1 pm = 88.00 x 10⁻¹⁰ cm

Substituting the values above in order to determine the volume of a krypton atom:

V = 4/3 x (22/7) x (88.00 x 10⁻¹⁰ cm)³

V = 2.86 x 10⁻²⁴ cm³

However, 1000 cm³ = 1 liter

Therefore, 2.86 x 10⁻²⁴ cm³ in liters will be:

2.86 x 10⁻²⁴ cm³/ (1000 cm³/1 liter) = 2.86 x 10⁻²⁷ liters

The volume of a krypton atom in liters = 2.86 x 10⁻²⁷ liters

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