Answer
$C = 6.81\times 10^{27} m^{-3}.eV^{-3/2}$
Work Step by Step
From the previous answer we got
$C = 1.062 \times 10^{56} kg^{3/2}/J^3.s^3$
The unit
1 J = 1 $kg.m^2/s^2$
this means
1 $kg$ = 1 $J.s^2/m^2$
So units can be written
$(J.s^2) ^{3/2}.m^{(-3)(3/2)}.J^{-3}.s^{-3}$
Simplify
$J^{-3/2}.m{-3}$
Also remember that $e= 1.602 \times 10^{-19} J/eV$
Hence
$C = (1.062 \times 10^{56} J^{-3/2}.m{-3}) ( 1.602 \times 10^{-19} J/eV) $
$C = 6.81\times 10^{27} m^{-3}.eV^{-3/2}$
