Answer:
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
