A sample of ammonium phosphate `(NH_(4))_(3) PO_(4)` contains 3.18 moles of hyrogen atoms . The number of moles of oxygen atoms in the sample is

Options

A. `0.265`
B. `0.795`
C. `1.06`
D. `3.18`

Explanation

To solve the problem, we need to find the number of moles of oxygen atoms in a sample of ammonium phosphate `(NH₄)₃PO₄` given that it contains 3.18 moles of hydrogen atoms.

### Step-by-Step Solution:

1. **Identify the Composition of Ammonium Phosphate:**
The chemical formula for ammonium phosphate is `(NH₄)₃PO₄`. From this formula, we can determine the number of each type of atom:
- Nitrogen (N): 3 atoms
- Hydrogen (H): 12 atoms (since each ammonium ion `(NH₄)⁺` has 4 hydrogen atoms, and there are 3 ammonium ions)
- Phosphorus (P): 1 atom
- Oxygen (O): 4 atoms

2. **Calculate the Ratio of Hydrogen to Oxygen:**
From the formula, we see that for every 12 hydrogen atoms, there are 4 oxygen atoms. This gives us a ratio of hydrogen to oxygen:
\[ \text{Ratio of H to O} = \frac{12 \text{ H}}{4 \text{ O}} = 3 \text{ H per O} \]

3. **Determine the Number of Moles of Ammonium Phosphate:**
Given that there are 3.18 moles of hydrogen atoms, we can find the number of moles of ammonium phosphate in the sample. Since there are 12 hydrogen atoms in one mole of ammonium phosphate:
\[ \text{Moles of } (NH₄)₃PO₄ = \frac{3.18 \text{ moles of H}}{12} = 0.265 \text{ moles of } (NH₄)₃PO₄ \]

4. **Calculate the Number of Moles of Oxygen:**
Now, we can use the number of moles of ammonium phosphate to find the number of moles of oxygen. Since there are 4 oxygen atoms in each mole of ammonium phosphate:
\[ \text{Moles of O} = 0.265 \text{ moles of } (NH₄)₃PO₄ \times 4 \text{ O} = 1.06 \text{ moles of O} \]

### Final Answer:
The number of moles of oxygen atoms in the sample is **1.06 moles**.

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