Answer to Question #233791 in General Chemistry for Precaution

Question

calculate the density of a proton given that the mass of a proton in 1.0073 amu and the diameter of a proton is 1.68*10^-15m

Answer 1

Mass of proton = 1.0073amu = $1.0073\times1.66054\times10^{-27}\ kg=1.6726\times10^{-27 }\ kg$

Volume of proton = $\frac{4}{3}\pi({\frac{d}{2}})^3=\frac{4}{3}\pi(\frac{1.72\times 10^{-15}}{2})^3$

$=2.66\times 10^{-45}\ m^3$

Density $=\frac{mass}{volume}=\frac{1.6726\times 10^{-27}}{2.66\times10^{-45}}=6.288\times 10^{17}\ kg\ m^{-3}$