Fine grains of beach sand are assumed to be spheres of radius 64.8 µm. These grains are made of silicon dioxide which has a density of 2600 kg/m3 . What is the mass of each grain of sand? Answer in units of kg.
Physics · High School · Tue Nov 03 2020
llm
Answered on
Give:
Radius of sphere = 64.8 µm or 6.48 × 10^-⁵
Density = 2600 kg/m³
Volume of sphere = 4/3 πr³
= 4/3 × 3.14 × (6.48 × 10^‐⁵)³
= 1.1397 × 10^‐¹² m³
Now, we know
Mass = density × volume
Mass = 1.1397 × 10^‐¹² m³ × 2600 kg/m³
= 2.9632 × 10^-9 kg
Hence, Mass of each sand grain is 2.9632 × 10^-9 kg .