Question

Assuming that a lithium atom is spherical, calculate its volume in cm³. The volume of a sphere is given by V = (4/3)πr³. The radius of a lithium atom is 1.52 Å. 1 Å = 10⁻8 cm, and π = 3.14.

a. 7.24 × 10⁻24 cm³
b. 1.08 × 10⁻23 cm³
c. 1.44 × 10⁻23 cm³
d. 2.16 × 10⁻23 cm³

Answer 1

The volume of a lithium atom with a radius of 1.52 Å is calculated using the formula for the volume of a sphere. After converting the radius to centimeters and plugging it into the formula, the volume is found to be approximately 1.44 x 10-23 cm3.

Step-by-step explanation:

To calculate the volume of a lithium atom, we can use the volume formula for a sphere, which is V = (4/3)πr³. Given the radius of a lithium atom is 1.52 Å, first, we need to convert the radius to centimeters: 1.52 Å = 1.52 x 10-8 cm. Now we can insert the values into the formula:

V = (4/3)π(1.52 x 10-8 cm)3
= (4/3)π(3.49568 x 10-24 cm3)
= (4/3)(3.14)(3.49568 x 10-24 cm3)
= 1.46 x 10-23 cm3

The closest answer to our calculation is c. 1.44 x 10-23 cm3.