To calculate the empirical formula for nitrogen and oxygen compositions, start by determining the mass of each element based on the given percentages. For a 100g sample, 36.8g of nitrogen and 63.25g of oxygen can be derived from the first set of percentages, while the second set yields 63.6g of nitrogen and 36.4g of oxygen. Next, convert these masses to moles using the atomic weights of nitrogen (14) and oxygen (16). The mole ratio will then provide the empirical formula. It is essential to show your work to receive further assistance in solving these calculations.