The chemical formula of the compound is N2O. When this gas decomposes nitrogen and oxygen are released.
2N2O --> 2N2 + O2
The molar mass of N2O is 14*2 + 16 = 28 + 16 = 44 g/mole, and the molar mass of oxygen and nitrogen is 32 and 14 respectively. Two moles of N2O decompose to give 2 moles of N2 and one mole of O2. Considering the mass of the elements individually, 1 mole of N2O gives 2 moles of N and 1 mole of O
From the values given for sample A, 2.85/44 = 0.064 moles of N2O decompose to give 1.82/14 = = 0.065*2 = 0.13 moles of N which tallies; 1.03 g of O is 0.064 mole of O which again tallies.
Similarly, for sample C, the mass of O generated is 1.95 g which is 0.121 mole. The corresponding values of the mass of N2O and mass of N are 0.121*44 = 5.36 g and 0.121*14 = 1.70 g respectively.
For sample D, the mass of N released is 1.91 g which is equivalent to 0.136 mole. The corresponding values for the mass of N2O and O are 6 g and 2.18 g respectively.