Summary

This document contains multiple-choice questions (MCQs) on mole calculations and mass, suitable for secondary school chemistry students. The questions cover topics including molar mass, relative atomic mass, and calculations involving Avogadro's constant. Sample problems include calculating the number of moles in a given mass, calculating the mass of a given number of moles, and working with Avogadro's number. The document provides structured problem solving examples that can aid students in understanding chemistry concepts and principles

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1. What is the number of moles in 22g of CO\(_2\) (molar mass of CO\(_2\) is 44 g/mol)? a) 0.5 b) 1 c) 2 d) 3 Answer: a) 0.5 Explanation: Number of moles = 22 / 44 = 0.5. 2. Find the mass of 2 moles of H\(_2\)O (molar mass of H\(_2\)O is 18 g/mol). a) 36g b) 9g c) 27g d...

1. What is the number of moles in 22g of CO\(_2\) (molar mass of CO\(_2\) is 44 g/mol)? a) 0.5 b) 1 c) 2 d) 3 Answer: a) 0.5 Explanation: Number of moles = 22 / 44 = 0.5. 2. Find the mass of 2 moles of H\(_2\)O (molar mass of H\(_2\)O is 18 g/mol). a) 36g b) 9g c) 27g d) 45g Answer: a) 36g Explanation: Mass \( = \text{number of moles} \times \text{molar mass} = 2 \times 18 = 36 \)g. 3. How many moles are in 85g of Na (molar mass of Na is 23 g/mol)? a) 2.13 b) 3.70 c) 4.45 d) 5.17 Answer: d) 3.70 Explanation: Number of moles \( = \frac{\text{mass}}{\text{molar mass}} = \frac{85}{23} \approx 3.70 \). 4. Determine the mass of 0.25 moles of Mg (molar mass of Mg is 24 g/mol). a) 6g b) 12g c) 24g d) 48g Answer: a) 6g Explanation: Mass \( = \text{number of moles} \times \text{molar mass} = 0.25 \times 24 = 6 \)g. 5. Calculate the number of moles in 125g of Fe (molar mass of Fe is 56 g/mol). a) 1.75 b) 2.2 c) 2.4 d) 2.5 Answer: a) 2.23 Explanation: Number of moles \( = \frac{\text{mass}}{\text{molar mass}} = \frac{125}{56} \approx 2.23 \). 6. How many grams are in 3 moles of Al\(_2\)O\(_3\) (molar mass of Al\(_2\)O\(_3\) is 102 g/mol)? a) 204g b) 306g c) 102g d) 510g Answer: b) 306g Explanation: Mass \( = \text{number of moles} \times \text{molar mass} = 3 \times 102 = 306\)g. 7. What is the de nition of relative atomic mass (Ar)? a) Mass of one atom of an isotope relative to 1/12th the mass of a \(^{12}C\) atom b) Weighted average mass of one atom of an element relative to the mass of a \(^{12}C\) atom c) Mass of one ion relative to a \(^{12}C\) atom d) Average mass of one molecule Answer: b) Weighted average mass of one atom of an element relative to the mass of a \(^{12} C\) atom Explanation: It takes into account all isotopes of the element and their abundance. 8. What is the de nition of Avogadro’s constant? a) Number of molecules in one mole of a substance b) Number of atoms in one mole of any substance c) Number of particles in one mole of a substance d) Number of ions in one mole of any element Answer: c) Number of particles in one mole of a substance Explanation: Avogadro’s constant is \(6.02 \times 10^{23}\) particles per mole. 9. What is the de nition of molar mass? a) The mass in grams of one mole of a substance b) The mass of one atom of a substance c) The mass in kilograms of one mole of a substance d) The mass of 12 grams of carbon-12 Answer: a) The mass in grams of one mole of a substance Explanation: The molar mass is the mass of one mole of atoms, molecules, or ions in grams. 10. What does the relative molecular mass (Mr) of a compound represent? a) The mass of one molecule relative to an atom of hydrogen b) The average mass of one molecule relative to one atom of \(^{12}C\) c) The mass of one mole of molecules in kilograms d) The number of particles per mole of the compound Answer: b) The average mass of one molecule relative to one atom of \(^{12}C\) Explanation: The relative molecular mass is determined by the sum of the atomic masses of the elements in the compound relative to \(^{12}C\). #### Calculations Involving Avogadro’s Constant: 11. How many molecules are in 0.5 moles of H\(_2\)O? \((\text{Avogadro's constant} = 6.02 \times 10^{23})\) a) \(3.01 \times 10^{23}\) b) \(1.204 \times 10^{24}\) c) \(6.02 \times 10^{23}\) d) \(2.05 \times 10^{23}\) Answer: a) \(3.01 \times 10^{23}\) Explanation: Number of molecules \( = \text{number of moles} \times \text{Avogadro's constant} = 0.5 \times 6.02 \times 10^{23} = 3.01 \times 10^{23} \). 12. Find the number of atoms in 2 moles of helium (He). a) \(1.204 \times 10^{24}\) b) \(2.05 \times 10^{23}\) c) \(1.508 \times 10^{24}\) d) \(6.02 \times 10^{23}\) Answer: a) \(1.204 \times 10^{24}\) Explanation: Number of atoms \( = 2 \times 6.02 \times 10^{23} = 1.204 \times 10^{24} \). fi fi fi 13. How many moles of Fe are there with \(1.204 \times 10^{24}\) atoms? a) 1 b) 2 c) 3 d) 4 Answer: b) 2 Explanation: Number of moles \( = \frac{\text{number of particles}}{\text{Avogadro's constant}} = \frac{1.204 \times 10^{24}}{6.02 \times 10^{23}} = 2 \). 14. Calculate the number of Cl\(_2\) molecules in 3 moles of chlorine gas. a) \(2.01 \times 10^{24}\) b) \(9.03 \times 10^{23}\) c) \(1.81 \times 10^{24}\) d) \(1.204 \times 10^{24}\) Answer: a) \(1.806 \times 10^{24}\) Explanation: Number of molecules \( = 3 \times 6.02 \times 10^{23} = 1.806 \times 10^{24} \). 15. How many moles are in \(3.61 \times 10^{24}\) molecules of \( NH_3\)? a) 4 b) 3 c) 5 d) 6 Answer: c) 6 Explanation: Number of moles = \(\frac{\text{Number of molecules}}{\text{Avogadro's constant}} = \frac{3.61 \times 10^{24}}{6.02 \times 10^{23}} = 6 \). 16. What is the density of a substance if its mass is 200g and its volume is 50cm\(^3\)? a) 6 g/cm\(^3\) b) 4 g/cm\(^3\) c) 5 g/cm\(^3\) d) 3 g/cm\(^3\) Answer: c) 4 g/cm\(^3\) Explanation: Density \( = \frac{\text{mass}}{\text{volume}} = \frac{200}{50} = 4 \)g/cm\(^3\). 17. Find the mass of a block with a density of 2.5 g/cm\(^3\) and a volume of 40 cm\(^3\). a) 30g b) 40g c) 80g d) 100g Answer: d) 100g Explanation: Mass = Density \(\times\) Volume = \(2.5 \times 40 = 100\)g. 18. How do you calculate the volume if the mass is 60g and the density is 3 g/cm\(^3\)? a) 20 cm\(^3\) b) 30 cm\(^3\) c) 40 cm\(^3\) d) 50 cm\(^3\) Answer: a) 20 cm\(^3\) Explanation: Volume \(= \frac{\text{mass}}{\text{density}} = \frac{60}{3} = 20 \)cm\(^3\). 19. Calculate the density if the mass is 150g and the volume is 25 cm\(^3\). a) 6 g/cm\(^3\) b) 4 g/cm\(^3\) c) 5 g/cm\(^3\) d) 7 g/cm\(^3\) Answer: c) 6 g/cm\(^3\) Explanation: Density \( = \frac{\text{mass}}{\text{volume}} = \frac{150}{25} = 6 \)g/cm\(^3\). 20. Find the volume of a liquid with a mass of 85g and a density of 1.7 g/cm\(^3\). a) 10 cm\(^3\) b) 20 cm\(^3\) c) 30 cm\(^3\) d) 50 cm\(^3\) Answer: b) 50 cm\(^3\) Explanation: Volume \(= \frac{\text{mass}}{\text{density}} = \frac{85}{1.7} = 50 \)cm\(^3\).

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