To find the number of moles of oxygen atoms in a sample of ammonium phosphate, {(NH4)3PO4}, when you know that it contains 6 moles of hydrogen atoms, you can use the chemical formula to determine the number of moles of oxygen atoms indirectly.
The chemical formula of ammonium phosphate is {(NH4)3PO4}. This tells you that there are three ammonium ions, NH4+, and one phosphate ion, PO4^3-, in each formula unit.
Each ammonium ion (NH4+) contains 4 hydrogen atoms (H). So, in three ammonium ions, you have:
3 ammonium ions x 4 hydrogen atoms per ion = 12 hydrogen atoms
Since the sample contains 6 moles of hydrogen atoms, we need to calculate how many moles of {(NH4)3PO4} are required to have 12 hydrogen atoms:
12 moles of {(NH4)3PO4} (to get 12 hydrogen atoms) = 6 moles of {(NH4)3PO4} (to get 6 moles of hydrogen atoms)
Now, let's look at the phosphate ion (PO4^3-). It contains 4 oxygen atoms (O). Since there's one phosphate ion in each formula unit of ammonium phosphate, you have 4 oxygen atoms per formula unit.
So, for every 6 moles of {(NH4)3PO4}, you will have:
6 moles x 4 oxygen atoms per formula unit = 24 moles of oxygen atoms
Therefore, the number of moles of oxygen atoms in the sample is 24 moles. The correct answer is not listed among the options (A, B, C, D).