Calculate the number of moles, molecules and total atoms present in 44 g of CO 2 ​ . (C=12, O=16, N A ​ =6.022×10 23 )

📘 Complete Solution

📌 Given Data

Mass of CO₂ = 44 g

Atomic mass of C = 12
Atomic mass of O = 16

N_A = 6.022 × 10²³ mol⁻¹

🔵 Step 1: Calculate Molar Mass of CO₂

CO₂ contains one carbon atom and two oxygen atoms.

Molar Mass of CO₂

= 12 + (2 × 16)

= 12 + 32

= 44 g mol⁻¹

🟢 Step 2: Calculate Number of Moles

Use the formula:

Number of moles

n = Mass / Molar Mass

n = 44 / 44

n = 1 mole

✅ Number of moles of CO₂ = 1 mol

🟠 Step 3: Calculate Number of CO₂ Molecules

Number of molecules is calculated using:

Number of molecules = Number of moles × N_A

= 1 × 6.022 × 10²³

= 6.022 × 10²³ molecules

✅ Number of CO₂ molecules = 6.022 × 10²³

🟣 Step 4: Calculate Total Number of Atoms

One molecule of CO₂ contains:

1 Carbon atom + 2 Oxygen atoms

Total = 3 atoms per molecule

Therefore:

Total atoms = Number of molecules × 3

= 6.022 × 10²³ × 3

= 18.066 × 10²³

= 1.8066 × 10²⁴ atoms

✅ Total number of atoms = 1.8066 × 10²⁴ atoms

🔬 Step 5: Atom-wise Calculation

Carbon Atoms

1 × 6.022 × 10²³

= 6.022 × 10²³ C atoms

Oxygen Atoms

2 × 6.022 × 10²³

= 1.2044 × 10²⁴ O atoms

Total Atoms

= 6.022 × 10²³ + 1.2044 × 10²⁴

= 1.8066 × 10²⁴

🎬 3D-Style CO₂ Particle Animation

One CO₂ molecule contains one carbon atom and two oxygen atoms.

C O O

1 CO₂ molecule = 3 atoms

1 mole CO₂ → 6.022 × 10²³ molecules

6.022 × 10²³ molecules → 1.8066 × 10²⁴ atoms

⚡ Quick Shortcut

44 g CO₂
↓
1 mole
↓
6.022 × 10²³ molecules
↓
Each molecule has 3 atoms
↓
1.8066 × 10²⁴ atoms

✅ Final Answer

Number of moles = 1 mol

Number of molecules = 6.022 × 10²³

Total number of atoms = 1.8066 × 10²⁴

🎯 Formula Revision

Moles = Given Mass ÷ Molar Mass
Molecules = Moles × N_A
Total Atoms = Molecules × Number of Atoms per Molecule

For CO₂ → 1 + 2 = 3 atoms per molecule