3 months ago

The metallic radius of a lithium atom is 152 pm. What is the volume of a lithium atom in cubic meters?

Chemistry

1 answer:

eduard [2.7K]3 months ago

8 0

Answer:

The calculated volume of a lithium atom is 1.47 X 10⁻²⁹ m³.

Explanation:

Assuming the atom's volume is spherical (though it’s actually more complex), the volume is mathematically represented by:

$V=\frac{4}{3}\pi R^{3}$ ----------------------------------------------------------------------------------------(Eq. 1)

Here, R corresponds to the lithium atom's radius. Since the radius is provided in picometers, we first convert it into meters.

$R=(152pm )(1X10^{-12}\frac{m}{pm})$

$R = 1.52 X 10^{-10}m$

Substituting this value into Eq.1 provides the desired result.

$V=\frac{4}{3}\pi {1.52X10^{-10}}^{3}$

V= 1.47 X 10⁻²⁹ m³

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