Day 2: The Mole Concept | Secondary Stage Science | Apex Institute of Maths and Sciences

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Day 2: The Mole Concept | Secondary Stage Science | Apex Institute of Maths and Sciences

Day 2: The Mole Concept ⚖️

Secondary Stage Science | Apex Institute of Maths and Sciences

🎯 1. Concept: Bridging the Micro and Macro

Atoms are too small to weigh individually. To work with them in a lab, scientists use a unit called the Mole. It connects the number of particles to a mass we can measure in grams.

  • One Mole: Contains exactly 6.022 × 1023 particles (atoms, molecules, or ions). This is called Avogadro’s Number.
  • Molar Mass: The mass of 1 mole of a substance. It is numerically equal to the atomic or molecular mass but expressed in grams (g/mol).

💡 2. Quantitative Formulas

Number of Moles (n) = Given Mass (m) / Molar Mass (M)
Number of Particles = Number of Moles × 6.022 × 1023

Example: The atomic mass of Carbon is 12u. Therefore, 1 mole of Carbon weighs exactly 12 grams.

🌍 3. Science in Our Daily Life

Scenario: Why is the Mole so large? If you had a “Mole” of marbles, they would cover the entire Earth to a depth of 50 miles! We need such a huge number because atoms are incredibly tiny. A single drop of water contains about 1.5 sextillion molecules—about 0.0025 moles!

📝 4. Home Research Task

Calculate the **Molar Mass of Water (H2O)**. (Atomic mass of H = 1u, O = 16u). Then, determine how many moles are in 36 grams of water using the formula: n = m / M.

✅ 5. Day 2 Advanced Assessment

All answers are derived from the concepts and formulas provided above.

Easy
1. What is the value of Avogadro’s Number?
Solution: As stated in Part 1, 1 mole = 6.022 × 1023 particles.
Easy
2. Molar mass is expressed in which unit?
Solution: Molar mass is the mass in grams per mole (Part 1).
Easy
3. 1 mole of Oxygen atoms (Mass = 16u) weighs how many grams?
Solution: Molar mass is numerically equal to atomic mass in grams (Part 1).
Easy
4. Which formula is used to find the number of moles (n)?
Solution: Number of moles (n) = m / M (Part 2).
Medium
5. How many moles are in 24 grams of Carbon (Molar Mass = 12 g/mol)?
Solution: 24g / 12g/mol = 2 moles (Part 2).
Medium
6. If you have 0.5 moles of a substance, how many particles do you have?
Solution: 0.5 × 6.022 × 1023 = 3.011 × 1023 (Part 2).
Medium
7. What is the Molar Mass of Water (H2O)? (H=1, O=16)
Solution: (2 × 1) + 16 = 18 g/mol (Part 4).
Medium
8. Why do scientists use the Mole instead of counting individual atoms?
Solution: Atoms are incredibly tiny, making the mole a necessary unit for lab work (Part 3).
Hard
9. Assertion: 1 mole of Hydrogen gas (H2) has a different mass than 1 mole of Helium (He).
Reason: Different elements have different atomic masses.
Solution: While the number of particles is the same, the mass depends on the element (Part 1).
Hard
10. Calculate the number of moles in 90g of water (Molar Mass = 18 g/mol).
Solution: n = 90 / 18 = 5 moles (Using formula in Part 2).

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