Answer
$1.48\times10^{3} kJmol^{-1}$
Work Step by Step
E= hν
h = $6.626\times10^{-34}Js$
ν = $3.70\times10^{15}Hz$
E = $(6.626\times10^{-34}Js)(3.70\times10^{15}s^{-1})$ = $2.45\times10^{-18}J$
Energy of one mole of photons = ($2.45\times10^{-18}J$)($6.022\times10^{23}mol^{-1}$) = $1.48\times10^{3} kJmol^{-1}$.