atoms and the periodic table

Question

Calculate the density of a proton, given that the mass of a proton is 1.0073 amu and the diameter of a proton is 1.71×10−15 m.

Answer 1

Density is calculated as mass/volume. Given a mass of 1.0073 amu and a proton diameter of 1.71×10−15 m we can calculate density as follows:

First we assume the proton to be a sphere and thus the volume of a sphere = 4/3 pi r³

with r = diameter/2 = 8.55 x 10^-16 m, r³ =6.25 x 10-46 m^3, Vproton = 2.62 x 10^-45 m^3

thus proton density = 1.0073 amu / 2.62 x 10^-45 m^3 = 3.85 x 10⁴⁴ amu/m^3

Convert density to whatever units of mass and volume desired.