Final answer:
To sort the nitrogen oxides by percent mass of oxygen, calculate the mass percent for each compound (NO, NO₂, N₂O, N₂O₄, N₂O₅) and arrange them accordingly. Nitrous oxide (N₂O) and nitrogen monoxide (NO) have unique empirical formulas different from the other nitrogen oxides.
Step-by-step explanation:
To sort the nitrogen oxides by their percent by mass of oxygen, we need to calculate the percent composition of oxygen in each of the compounds. The formulas given are: NO, NO₂, N₂O, N₂O₄, N₂O₅. Using the data provided for molar masses, we calculate the mass ratios of O:N and then convert these to percentages. The mass of oxygen in each compound is obtained by multiplying the number of oxygen atoms by the atomic mass of oxygen (16 g/mol), and similarly for nitrogen (14 g/mol for each nitrogen atom).
For NO (molar mass = 14+16=30 g/mol), the percent by mass of oxygen is (16/30) × 100% = 53.33%.
For NO₂ (molar mass = 14+32=46 g/mol), the mass percent of oxygen is (32/46) × 100% = 69.57%.
For N₂O (molar mass = 28+16=44 g/mol), the mass percent of oxygen is (16/44) × 100% = 36.36%.
For N₂O₄ (molar mass = 28+64=92 g/mol), the mass percent of oxygen is (64/92) × 100% = 69.57%.
For N₂O₅ (molar mass = 28+80=108 g/mol), the mass percent of oxygen is (80/108) × 100% = 74.07%.
Now we can sort these values: N₂O < NO < NO₂ = N₂O₄ < N₂O₅.
For the second part of the question, the two nitrogen oxides with unique empirical formulas are N₂O and NO. This is because N₂O has a different ratio of nitrogen to oxygen atoms compared to the other oxides, which conform more to the general formula NOx.