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MissPhiladelphia

First we need to determine the number of moles of each element.

number of moles O = 3.47/16 = 0.22
number of moles N = 1.52 / 14 = 0.11

Therefore the total number of moles is 0.33

mole percent;

% mol of O = 0.67
% mol of N = 0.33

dividing by the smallest mole percentage, the empirical formula is 

NO2

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