Answer
$1.5\times10^{22}\;states/eV$.
Work Step by Step
The density of states is calculated by equation 42.15, $g(E)=\frac{(2m)^{3/2}V}{2\pi^2\hbar^3}E^{1/2}$.
Convert the given energy to $1.12\times10^{-18}J$ and the volume to $1.0\times10^{-6}m^3$, and evaluate using the electron mass to find $g(E)=1.5\times10^{22}\;states/eV$.
