Step 1 - Discovering the ionic formula of Ammonium Oxide
Ammonium Oxide is formed by the ionic bonding between Ammonium (NH4(+)) and Oxide (O(2-)):
![2NH^+_4+O^(2-)\rightarrow(NH_4)_2O^{}_{}](https://img.qammunity.org/2023/formulas/chemistry/college/8mav7ebhzh67qr3g7kxix0v34xoqvtlzgn.png)
Step 2 - Finding its molar mass
To find the molar mass of a substance, we need to multiply the molar mass of each element by the number of times it appears in the formula and, finally, sum it all up. The molar masses are 14 g/mol for N; 1 g/mol for H and 16 g/mol for O. We have thus:
![\begin{gathered} N\rightarrow2*14=28 \\ \\ H\rightarrow8*1=8 \\ \\ O\rightarrow1*16=16 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/x6qwomgfh663e08a5q9zypvsppcnka8fys.png)
The molar mass of (NH4)2O will be thus:
![M=28+8+16=52\text{ g/mol}](https://img.qammunity.org/2023/formulas/chemistry/college/14tzufoly8x43qn6515y3jxoo64bwtxmft.png)
Step 3 - Finding the percent composition of Oxygen
As we saw in step 2, the molar mass of ammonium oxide is 52 g/mol. From this mass, 16 g/mol come from Oxygen. We can calculate the percent composition of Oxygen by setting the following proportion:
![\begin{gathered} 52\text{ g/mol ---- 100\%} \\ 16\text{ g/mol ---- x} \\ \\ x=(100*16)/(52)=(1600)/(52)=30.8\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/fmtfx4qta1ic5m56w9eh03eoe02dy18ddw.png)
The percent composition of Oxygen is thus 30.8 %.