The spectral irradiance in the standard AM$1\mathrm{.}5$G solar spectrum can be approximated by the following function of the photon energy E $($in electron volts, eV$)$:

Where $\backslash$gamma is a constant, eE$($E$)$ is the spectral irradiance $($in eV$)$ which is a function of photon energy in eV$.$ Electron charge q $=1\mathrm{.}602\backslash$times $10-19$ C may be used.

a$.$ Determine the constant $$ from the requirement that the total irradiance in the spectrum is equal to the standard value.

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