Answer
See answers.
Work Step by Step
a. Find the fraction of the hydrogen atom’s mass that is in the nucleus. We use values from Appendix B.
$$\frac{m_{proton}}{m_H}=\frac{1.007276u}{1.007825u}=99.95\%$$
b. Find the fraction of the hydrogen atom’s volume taken by the nucleus.
Calculate the nuclear radius using equation 30–1. Use the Bohr radius for the radius of the hydrogen atom.
$$\frac{V_{nucleus}}{V_H}=\frac{(4\pi/3)r_{nucleus}^3}{(4\pi/3) r_{atom}^3}$$
$$=\frac{(1.2\times10^{-15}m)^3}{(0.529\times10^{-10}m)^3}=1.2\times10^{-14}$$
