Answer
$N = 1.52 \times 10^{28} eV^{-1}.m^{-3}$
Work Step by Step
substitute E= 5.00 eV into equation
$N (E) = CE^{1/2}$
Take C from previous answer
$C = 6.81\times 10^{27} m^{-3}.eV^{-3/2}$
$N = (6.81\times 10^{27} m^{-3}.eV^{-3/2})(5.00eV)^{1/2}$
$N = 1.52 \times 10^{28} eV^{-1}.m^{-3}$