Home
Class 9
CHEMISTRY
The ratio of molecules present in 6.6 g ...

The ratio of molecules present in 6.6 g of `CO_2` and 3.2 g of `SO_2` is:

Text Solution

AI Generated Solution

The correct Answer is:
To find the ratio of molecules present in 6.6 g of CO₂ and 3.2 g of SO₂, we will follow these steps: ### Step 1: Calculate the molecular mass of CO₂ - The molecular mass of CO₂ is calculated as follows: - Carbon (C) has an atomic mass of 12 g/mol. - Oxygen (O) has an atomic mass of 16 g/mol, and there are 2 oxygen atoms in CO₂. \[ \text{Molecular mass of CO₂} = 12 + (2 \times 16) = 12 + 32 = 44 \text{ g/mol} \] ### Step 2: Calculate the number of moles of CO₂ in 6.6 g - Use the formula for moles: \[ \text{Moles of CO₂} = \frac{\text{Given mass}}{\text{Molecular mass}} = \frac{6.6 \text{ g}}{44 \text{ g/mol}} = 0.15 \text{ moles} \] ### Step 3: Calculate the number of molecules of CO₂ - Use Avogadro's number (6.022 × 10²³ molecules/mol): \[ \text{Number of molecules of CO₂} = 0.15 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} \approx 0.9033 \times 10^{23} \text{ molecules} \] ### Step 4: Calculate the molecular mass of SO₂ - The molecular mass of SO₂ is calculated as follows: - Sulfur (S) has an atomic mass of 32 g/mol. - Oxygen (O) has an atomic mass of 16 g/mol, and there are 2 oxygen atoms in SO₂. \[ \text{Molecular mass of SO₂} = 32 + (2 \times 16) = 32 + 32 = 64 \text{ g/mol} \] ### Step 5: Calculate the number of moles of SO₂ in 3.2 g - Use the formula for moles: \[ \text{Moles of SO₂} = \frac{\text{Given mass}}{\text{Molecular mass}} = \frac{3.2 \text{ g}}{64 \text{ g/mol}} = 0.05 \text{ moles} \] ### Step 6: Calculate the number of molecules of SO₂ - Use Avogadro's number: \[ \text{Number of molecules of SO₂} = 0.05 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} \approx 0.3011 \times 10^{23} \text{ molecules} \] ### Step 7: Calculate the ratio of molecules of CO₂ to SO₂ - The ratio is given by: \[ \text{Ratio} = \frac{\text{Number of molecules of CO₂}}{\text{Number of molecules of SO₂}} = \frac{0.9033 \times 10^{23}}{0.3011 \times 10^{23}} \approx 3 \] ### Final Answer: The ratio of molecules present in 6.6 g of CO₂ and 3.2 g of SO₂ is approximately **3:1**. ---

To find the ratio of molecules present in 6.6 g of CO₂ and 3.2 g of SO₂, we will follow these steps: ### Step 1: Calculate the molecular mass of CO₂ - The molecular mass of CO₂ is calculated as follows: - Carbon (C) has an atomic mass of 12 g/mol. - Oxygen (O) has an atomic mass of 16 g/mol, and there are 2 oxygen atoms in CO₂. \[ ...
Promotional Banner

Topper's Solved these Questions

  • ATOMS AND MOLECULES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER |20 Videos
  • ATOMS AND MOLECULES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS LONG ANSWER TYPE) |5 Videos
  • CARBON AND ITS COMPOUNDS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer/Numerical Value Type)|5 Videos

Similar Questions

Explore conceptually related problems

The total number of molecules present in 6.6 g of CO_(2) and 4.8 g of SO_(2) is

The number of molecules present in 4.4g of CO_(2) gas is

The number of molecules in 11 g of CO_(2) is same as that in

A diatomic molecule X_2 has a body- centred cubic (bcc) structure with a cell edge of 300pm. The density of the molecuel is 6.17 g cm^(-3) . The number of molecules present in 200 g of X_2 is : (Avogadroconstant (N_A)= 6 xx 10^23 mol^(-1) )