📘 Step-by-Step Solution
Step 1: Given Data
Number of CO₂ molecules
= 3.011 × 10²³
We have to calculate the mass of these CO₂ molecules.
Step 2: Find the number of moles
We know that Avogadro's number is:
NA = 6.022 × 10²³ molecules mol⁻¹
Use:
Number of moles =
Number of molecules ÷ NA
Therefore:
n =
(3.011 × 10²³)
÷
(6.022 × 10²³)
n = 0.5 mol
n = 0.5 mol
🎬 Molecule → Mole Animation
C
O
O
→
0.5 mol CO₂
3.011 × 10²³ molecules = 0.5 mole of CO₂
Step 3: Calculate molar mass of CO₂
Atomic masses:
C = 12 g mol⁻¹
O = 16 g mol⁻¹
O = 16 g mol⁻¹
Therefore:
Molar Mass of CO₂
= 12 + (2 × 16)
= 12 + 32
= 44 g mol⁻¹
= 12 + (2 × 16)
= 12 + 32
= 44 g mol⁻¹
Step 4: Calculate the mass
Use the formula:
Mass = Number of moles × Molar Mass
Substitute the values:
Mass = 0.5 × 44
= 22 g
= 22 g
🎬 Final Calculation
3.011 × 10²³ molecules
→
0.5 mol
→
44 g mol⁻¹
→
22 g
✅ Final Answer
Mass of CO₂ = 22 g
Therefore, 3.011 × 10²³ molecules of CO₂ have a mass of 22 g.
🎯 Quick Formula
Moles = Molecules ÷ 6.022 × 10²³
Mass = Moles × Molar Mass
CO₂ Molar Mass = 44 g mol⁻¹
Mass = 22 g
Mass = Moles × Molar Mass
CO₂ Molar Mass = 44 g mol⁻¹
Mass = 22 g
