Answer
At E =7.00 eV,
$N_0=9.01\times 10^{27} m^{-3}.eV^{-1}$
Work Step by Step
At E = 7.00 eV,
$N_0 = \frac{6.81\times 10^{27} m^{-3}.eV^{-3/2}(7.00 eV)^{1/2} }{[e^{7.00 eV - 7.00eV/(8.62 \times 10^{-5} eV/K)(1000K)} + 1]}$
$N_0=9.01\times 10^{27} m^{-3}.eV^{-1}$