`440` g of carbon dioxide can be represented as
(i) `5` g mole of carbon dioxide
(ii) `10` moles of carbon dioxide
(iii) `6.023 xx 10^(23)` molecules of carbon dioxide
(iv) `6.023 xx 10^(24)` molecules of carbon dioxide.

Options

A. (i) and (ii) only
B. (ii) and (iv) only
C. (ii) and (iii) only
D. (i), (ii), (iii) and (iv)

Explanation

To solve the problem, we need to determine how many moles and molecules of carbon dioxide (CO₂) are represented by 440 grams.

### Step-by-Step Solution:

1. **Determine the Molar Mass of Carbon Dioxide (CO₂)**:
- The molar mass of carbon (C) is approximately 12 g/mol.
- The molar mass of oxygen (O) is approximately 16 g/mol.
- Since CO₂ has one carbon atom and two oxygen atoms, the molar mass can be calculated as:
\[ \text{Molar mass of CO₂} = 12 + (2 \times 16) = 12 + 32 = 44 \text{ g/mol} \]

2. **Calculate the Number of Moles of CO₂ in 440 grams**:
- Using the formula:
\[ \text{Number of moles} = \frac{\text{Mass (g)}}{\text{Molar mass (g/mol)}} \]
- Substituting the values:
\[ \text{Number of moles} = \frac{440 \text{ g}}{44 \text{ g/mol}} = 10 \text{ moles} \]

3. **Calculate the Number of Molecules of CO₂**:
- Using Avogadro's number, which is \(6.023 \times 10^{23}\) molecules/mol, we can find the total number of molecules:
\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} \]
- Substituting the values:
\[ \text{Number of molecules} = 10 \text{ moles} \times 6.023 \times 10^{23} \text{ molecules/mol} = 6.023 \times 10^{24} \text{ molecules} \]

4. **Evaluate the Options**:
- (i) 5 g moles of CO₂: **Incorrect** (we found 10 moles)
- (ii) 10 moles of CO₂: **Correct**
- (iii) \(6.023 \times 10^{23}\) molecules of CO₂: **Incorrect** (this is the number of molecules in 1 mole)
- (iv) \(6.023 \times 10^{24}\) molecules of CO₂: **Correct** (this is the number of molecules in 10 moles)

### Conclusion:
The correct representations of 440 grams of carbon dioxide are:
- (ii) 10 moles of carbon dioxide
- (iv) \(6.023 \times 10^{24}\) molecules of carbon dioxide