Question

Part b using the mass of the proton 1.0073 amu and assuming its diameter is 1.0×10−15m, calculate the density of a proton in g/cm3.

Answer 1

Assuming that the proton is in the shape of the sphere, let's calculate first its volume in units of cm³:

Volume of sphere = 4/3*πr³
Volume of sphere = 4/3*π{[(1.0×10⁻¹⁵ m * 100 cm/1m)]/2}³
Volume = 5.236×10⁻⁴⁰ cm³

The density is then equal to:
Density of proton = 1.0073 g/5.236×10⁻⁴⁰ cm³
Density = 1.924×10³⁹ g/cm³