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Mole Conversion Practice Quiz
This quiz comprises 16 multiple-choice questions to assess your understanding of the mole conversion. Correct answers will be provided after each response with an explanation.
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1. How many moles are present in 48 grams of Magnesium (Mg)? (Atomic mass of Mg = 24 g/mol)
Moles = Mass / Molar mass = 48 g / 24 g/mol = 2 moles
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2. What is the mass of 0.5 moles of water (H₂O)? (Molar mass of H₂O = 18 g/mol)
Mass = Moles × Molar mass = 0.5 mol × 18 g/mol = 9 g
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3. How many atoms are there in 1 mole of Carbon (C)?
One mole of any substance contains Avogadro's number (6.022 x 10²³) of particles (atoms, molecules, ions, etc.).
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4. How many moles are in 11 grams of Carbon Dioxide (CO₂)?
Moles = Mass / Molar mass = 11 g / 44 g/mol = 0.25 moles
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5. How many molecules are present in 2 moles of water (H₂O)?
Molecules = Moles × Avogadro's number = 2 mol × 6.022 x 10²³ molecules/mol = 1.2044 x 10²⁴ molecules
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6. What volume will 1 mole of any gas occupy at Standard Temperature and Pressure (STP)?
At STP (0°C and 1 atm), 1 mole of any ideal gas occupies 22.4 L.
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7. How many moles are there in 44.8 L of Oxygen gas (O₂) at STP?
Moles = Volume / 22.4 L/mol = 44.8 L / 22.4 L/mol = 2 moles
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8. What is the mass of 11.2 L of Nitrogen gas (N₂) at STP? (Molar mass of N₂ = 28 g/mol)
Moles = 11.2 L / 22.4 L/mol = 0.5 moles. Mass = 0.5 mol × 28 g/mol = 14 g
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9. How many grams are there in 0.25 moles of sulfuric acid (H₂SO₄)?
Mass = Moles × Molar mass = 0.25 mol × 98 g/mol = 24.5 g
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10. A gaseous hydrocarbon contains 85.7% carbon and 14.3% hydrogen by mass. If 1 litre of the gas at STP weighs 1.25g calculate its molecular formula.
Explanation: Empirical Formula: C: 85.7/12=7.14, H: 14.3/1=14.3. Ratio is approximately 1:2. So empirical formula is CH2. Molar mass of gas = 1.25g/ (1/22.4) = 28g/mol. Empirical formula mass = 14g/mol. n= 28/14 =2. Molecular formula is (CH2)2 = C2H4.
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11. If you have 3.011 x 10²³ molecules of glucose (C₆H₁₂O₆), how many moles do you have?
Moles = Number of molecules / Avogadro’s number = 3.011 x 10²³ / 6.022 x 10²³ = 0.5 moles
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12. What volume does 0.5 moles of CO2 occupy at STP?
0.5x22.4 = 11.2
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13. A sample of a compound contains 1.204 x 10²⁴ atoms of oxygen. If the compound is Fe₂O₃, how many moles of Fe₂O₃ are present?
Find moles of oxygen: Divide the number of oxygen atoms by Avogadro's number: (1.204 x 10²⁴) / (6.022 x 10²³) = 2 moles of O atoms.
Relate moles of O to moles of Fe₂O₃: One mole of Fe₂O₃ contains three moles of O atoms (from the formula Fe₂O₃). Therefore, if you have 2 moles of O atoms, you have less than 1 mole of Fe₂O₃.
Calculate moles of Fe₂O₃: Divide the moles of oxygen by 3 (because there are 3 oxygens in each Fe₂O₃): 2 moles O / 3 = 0.667 moles of Fe₂O₃.
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14. If 5.6 L of a gas at STP has a mass of 11 g, what is the molar mass of the gas?
Moles = 5.6 L / 22.4 L/mol = 0.25 moles.
Molar mass = 11 g / 0.25 mol = 44 g/mol.
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15. How many grams of water (H₂O) are produced when 4 grams of hydrogen gas (H₂) reacts completely with excess oxygen?
The balanced equation is 2H₂ + O₂ → 2H₂O.
Moles of H₂ = 4 g / 2 g/mol = 2 moles.
From the equation, 2 moles of H₂ produce 2 moles of H₂O.
Mass of H₂O = 2 mol × 18 g/mol = 36 g.
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16. What volume of oxygen gas (O₂) at STP is required to completely combust 4 grams of methane (CH₄)?
Explanation: CH₄ + 2O₂ → CO₂ + 2H₂O.
Moles of CH₄ = 4 g / 16 g/mol = 0.25 mol.
This requires 0.5 mol of O₂. (from equation)
Volume of O₂ = 0.5 mol × 22.4 L/mol = 11.2 L.
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