Question

What is the fraction of the hydrogen atom's volume that is occupied by the nucleus? the bohr radius is 0.529×10−10m?

Answer 1

Volume of a sphere = 4/3 x pi x r^3

When put a fraction of volume constant 4/3 x pi cancels out.

So only cube of radii remains.

Radius of proton = 10^-15 m (Fact; remember it)

Radius of total Hydrogen atom = 0.529 × 10^−10 m

Fraction of Volumes : R'^3/R^3 = (R/R)^3

Fraction = ((10^-15)/(0.529 × 10^−10m.))^3= (1/52900)^3 =

6.755 x 10^-15

Answer 2

The fraction of the hydrogen atom's volume that is occupied by the nucleus is 6.755 x 10⁻¹⁵.

What is volume?

Volume is the space occupied by an object that is three-dimensional.

Given the Bohr radius is 0.529 × 10⁻¹⁰

Volume of a sphere = 4/3 x pi x r³

Radius of proton = 10⁻¹⁵m

Radius of total Hydrogen atom = 0.529 × 10⁻¹⁰

Fraction of Volumes

$\rm \dfrac{R'^3}{R^3} = \dfrac{R}{R^3}$

Fraction = $\rm [\dfrac{(10^-15)}{0.529 \times 10^{-10}m} ]^3 = 6.755 x 10^-15$

Thus, the correct option is  6.755 x 10⁻¹⁵.

Learn more about volume

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