The radius of a hydrogen atom is 0.529×10 _10 m and its mass is 1.67 × 10_27 kg .Calculate its density in kg/m.
To calculate the density of a hydrogen atom, we need to determine its volume first.
The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius.
Plugging in the given radius, we have:
V = (4/3)π(0.529×10⁻¹⁰ m)³
V ≈ 1.410 × 10⁻³⁰ m³
Next, we can calculate the density using the formula: density = mass / volume.
Plugging in the given mass, we have:
density = (1.67 × 10⁻²⁷ kg) / (1.410 × 10⁻³⁰ m³)
Calculating this value, we find:
density ≈ 1.184 × 10³ kg/m³
Therefore, the density of a hydrogen atom is approximately 1.184 × 10³ kg/m³.