Calculate the number of molecules present in 44 g of CO2

📘 Step-by-Step Solution

Step 1: Given Data

Mass of CO₂ = 44 g

We have to calculate the number of CO₂ molecules present in 44 g of CO₂.

Step 2: Calculate Molar Mass of CO₂

Atomic masses:

C = 12 g mol⁻¹

O = 16 g mol⁻¹

Therefore:

Molar Mass of CO₂

= 12 + (2 × 16)

= 12 + 32

= 44 g mol⁻¹

🎬 CO₂ Molecular Animation

C O O

CO₂ = 44 g mol⁻¹

One molecule of CO₂ contains 1 carbon atom and 2 oxygen atoms.

Step 3: Calculate Number of Moles

Use:

Number of moles = Mass ÷ Molar Mass

Substituting the values:

n = 44 ÷ 44

n = 1 mol

Step 4: Use Avogadro's Number

We know that:

1 mole = 6.022 × 10²³ molecules

Therefore, 1 mole of CO₂ contains:

Number of molecules

= 1 × 6.022 × 10²³

= 6.022 × 10²³ molecules

🎬 Mass → Mole → Molecules

44 g CO₂ → 1 mol CO₂ → 6.022 × 10²³ molecules

✅ Final Answer

Number of CO₂ molecules = 6.022 × 10²³

Therefore, 44 g of CO₂ contains 6.022 × 10²³ molecules.

🎯 Quick Formula

Moles = Mass ÷ Molar Mass

Molecules = Moles × 6.022 × 10²³

44 ÷ 44 = 1 mol

Molecules = 6.022 × 10²³

Calculate the mass of 0.5 mole of O2 ​

📘 Step-by-Step Solution

Step 1: Given Data

Number of moles of O₂ = 0.5 mol

We need to calculate the mass of 0.5 mole of oxygen gas.

Step 2: Calculate the Molar Mass of O₂

Atomic mass of oxygen:

O = 16 g mol⁻¹

Since O₂ contains two oxygen atoms:

Molar Mass of O₂

= 2 × 16

= 32 g mol⁻¹

🎬 O₂ Molecular Animation

O O → O₂ = 32 g mol⁻¹

One O₂ molecule contains two oxygen atoms.

Step 3: Use the Formula

Mass = Number of Moles × Molar Mass

Step 4: Substitute the Values

Mass = 0.5 × 32

= 16 g

🎬 Final Calculation Animation

0.5 mol O₂ × 32 g mol⁻¹ → 16 g

Moles × Molar Mass gives the required mass.

✅ Final Answer

Mass of 0.5 mole O₂ = 16 g

Therefore, 0.5 mole of O₂ has a mass of 16 grams.

🎯 Quick Formula

Mass = n × M

= 0.5 × 32

= 16 g

Calculate the mass of 3.011×10 23 molecules of CO 2 ​ .

📘 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:

N_A = 6.022 × 10²³ molecules mol⁻¹

Use:

Number of moles = Number of molecules ÷ N_A

Therefore:

n = (3.011 × 10²³) ÷ (6.022 × 10²³)

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

Therefore:

Molar Mass of CO₂

= 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

🎬 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