Respuesta :

muhammadsaadhussain2

Answer:

Volume of lithium atom is found to be 1.47 X 10⁻²⁹ m³

Explanation:

Let us consider the volume of atom as a sphere (but it is little complex than that). This volume is mathematically expressed as,

[tex]V=\frac{4}{3}\pi R^{3}[/tex]----------------------------------------------------------------------------------------(Eq. 1)

Here, R is the radius of lithium atom. The radius is given in picometers, so firstly let us convert it into meters

[tex]R=(152pm )(1X10^{-12}\frac{m}{pm})[/tex]

[tex]R = 1.52 X 10^{-10}m[/tex]

placing this value in Eq.1 the required result is achieved

[tex]V=\frac{4}{3}\pi  {1.52X10^{-10}}^{3}[/tex]

V= 1.47 X 10⁻²⁹ m³

onyebuchinnaji

The volume of the lithium atom is [tex]1.47 \times 10^{-29} \ m^3[/tex].

The given parameters:

  • Radius of the Lithium atom, V = 152 pm

The volume of the lithium atom is calculated from the volume of a sphere as follows;

[tex]V = \frac{4}{3} \pi r^3[/tex]

where;

  • r is the radius of the sphere in meters

[tex]\\\\V = \frac{4}{3} \times \pi \times (152 \times 10^{-12})^3\\\\V = 1.47 \times 10^{-29} \ m^3[/tex]

Thus, the volume of the lithium atom is [tex]1.47 \times 10^{-29} \ m^3[/tex]

Learn more about volume of atoms here: https://brainly.com/question/1494948

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