1. **State the problem:** We need to find the number of moles of ammonium nitrate in 35 mL of a 0.425 M solution. 2. **Recall the formula:** Molarity (M) is defined as moles of solute per liter of solution: $$M = \frac{\text{moles of solute}}{\text{liters of solution}}$$ 3. **Rearrange the formula to find moles:** $$\text{moles} = M \times \text{liters of solution}$$ 4. **Convert volume from mL to L:** $$35\ \text{mL} = \frac{35}{1000} = 0.035\ \text{L}$$ 5. **Calculate moles:** $$\text{moles} = 0.425 \times 0.035 = 0.014875$$ 6. **Final answer:** There are approximately **0.0149 moles** of ammonium nitrate in 35 mL of 0.425 M solution.