The number of oxygen atoms in 4.4 g of `CO_(2)` is approximately

Options

A. `1.2xx10^(23)`
B. `6xx10^(22)`
C. `6xx10^(23)`
D. `12xx10^(23)`

Explanation

To find the number of oxygen atoms in 4.4 g of CO₂, we can follow these steps:

### Step 1: Calculate the molar mass of CO₂
The molar mass of CO₂ can be calculated by adding the atomic masses of carbon and oxygen:
- Atomic mass of Carbon (C) = 12 g/mol
- Atomic mass of Oxygen (O) = 16 g/mol

Since CO₂ has one carbon atom and two oxygen atoms:
\[ \text{Molar mass of CO₂} = 12 + (2 \times 16) = 12 + 32 = 44 \text{ g/mol} \]

### Step 2: Calculate the number of moles of CO₂
Using the formula for moles:
\[ n = \frac{\text{mass}}{\text{molar mass}} \]
Given mass of CO₂ = 4.4 g, we can substitute the values:
\[ n = \frac{4.4 \text{ g}}{44 \text{ g/mol}} = 0.1 \text{ moles} \]

### Step 3: Determine the number of oxygen atoms in CO₂
In one molecule of CO₂, there are 2 oxygen atoms. Therefore, the total number of oxygen atoms in 0.1 moles of CO₂ can be calculated as follows:
\[ \text{Number of oxygen atoms} = \text{moles of CO₂} \times \text{number of oxygen atoms per molecule} \times \text{Avogadro's number} \]
\[ = 0.1 \text{ moles} \times 2 \text{ atoms/molecule} \times 6.022 \times 10^{23} \text{ atoms/mole} \]

### Step 4: Calculate the total number of oxygen atoms
Now, we can calculate:
\[ \text{Number of oxygen atoms} = 0.1 \times 2 \times 6.022 \times 10^{23} \]
\[ = 0.2 \times 6.022 \times 10^{23} \]
\[ = 1.2044 \times 10^{23} \text{ atoms} \]

### Step 5: Approximate the answer
Rounding the answer gives us approximately:
\[ \text{Number of oxygen atoms} \approx 1.2 \times 10^{23} \text{ atoms} \]

Thus, the number of oxygen atoms in 4.4 g of CO₂ is approximately \( 1.2 \times 10^{23} \).

### Final Answer:
The number of oxygen atoms in 4.4 g of CO₂ is approximately \( 1.2 \times 10^{23} \).

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