I'll solve each of these mole calculation problems step by step. Let me work through them carefully.
Problem 1: How many grams are in 4.5 moles of NaF?
First, I need to find the molar mass of NaF (sodium fluoride):
- Na (sodium) = 22.99 g/mol
- F (fluorine) = 19.00 g/mol
- Molar mass of NaF = 22.99 + 19.00 = 41.99 g/mol
Now convert moles to grams:
Mass = moles × molar mass
Mass = 4.5 mol × 41.99 g/mol = 188.955 g ≈
189 g
Problem 2: How many moles are in 1.2 × 10³ grams of ammonia?
Ammonia is NH₃. First, find its molar mass:
- N (nitrogen) = 14.01 g/mol
- H (hydrogen) = 1.008 g/mol × 3 = 3.024 g/mol
- Molar mass of NH₃ = 14.01 + 3.024 = 17.034 g/mol
Convert grams to moles:
Moles = mass ÷ molar mass
Moles = 1200 g ÷ 17.034 g/mol = 70.45 mol ≈
70 mol (or 7.0 × 10¹ mol)
Problem 3: How many grams are in 0.02 moles of beryllium iodide?
Beryllium iodide is BeI₂. Find its molar mass:
- Be (beryllium) = 9.01 g/mol
- I (iodine) = 126.90 g/mol × 2 = 253.80 g/mol
- Molar mass of BeI₂ = 9.01 + 253.80 = 262.81 g/mol
Convert moles to grams:
Mass = 0.02 mol × 262.81 g/mol = 5.2562 g ≈
5.3 g
Problem 4: How many moles are in 98.3 grams of aluminum hydroxide?
Aluminum hydroxide is Al(OH)₃. Find its molar mass:
- Al (aluminum) = 26.98 g/mol
- O (oxygen) = 16.00 g/mol × 3 = 48.00 g/mol
- H (hydrogen) = 1.008 g/mol × 3 = 3.024 g/mol
- Molar mass of Al(OH)₃ = 26.98 + 48.00 + 3.024 = 78.004 g/mol
Convert grams to moles:
Moles = 98.3 g ÷ 78.004 g/mol = 1.260 mol ≈
1.26 mol
Problem 5: How many grams are in 3.3 moles of potassium sulfide?
Potassium sulfide is K₂S. Find its molar mass:
- K (potassium) = 39.10 g/mol × 2 = 78.20 g/mol
- S (sulfur) = 32.07 g/mol
- Molar mass of K₂S = 78.20 + 32.07 = 110.27 g/mol
Convert moles to grams:
Mass = 3.3 mol × 110.27 g/mol = 363.891 g ≈
364 g
Final Answer:
1. 189 g
2. 70 mol (or 7.0 × 10¹ mol)
3. 5.3 g
4. 1.26 mol
5. 364 g
Parent Tip: Review the logic above to help your child master the concept of grams moles calculations worksheet.