1. Find the number of atoms of phosphorus \( (P) \) in 3.44 moles of phosphorus.

To find the number of atoms of phosphorus in 3.44 moles, you can use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) atoms/mole. Multiplying the number of moles by Avogadro's number gives: \[ \text{Number of atoms} = 3.44 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} \approx 2.07 \times 10^{24} \text{ atoms} \] So, there are approximately \(2.07 \times 10^{24}\) atoms of phosphorus in 3.44 moles. Now, let's take a quick tour through the science world! Phosphorus plays a crucial role in agriculture, being a key ingredient in fertilizers. This element is essential for plant growth as it helps in photosynthesis and the formation of DNA, making it a powerful ally in ensuring our food supply is robust and healthy. Speaking of chemistry, understanding moles can be tricky! A common mistake is not using Avogadro's number when converting moles to atoms, which can lead to significant errors in calculations. Always double-check your factor—it's the difference between having enough atoms to feed a garden or just counting on your fingers!