How many oxygen atoms will be present in 88 g of `CO_2` ?

Options

A. `24.08xx10^23`
B. `6.023xx10^23`
C. `44xx10^23`
D. `22xx10^24`

Explanation

To determine how many oxygen atoms are present in 88 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 summing the atomic masses of its constituent elements:
- Carbon (C): 12 g/mol
- Oxygen (O): 16 g/mol

Since there are two oxygen atoms in CO₂, the calculation will be:
\[ \text{Molar mass of CO₂} = \text{mass of C} + 2 \times \text{mass of O} = 12 + 2 \times 16 = 12 + 32 = 44 \text{ g/mol} \]

### Step 2: Calculate the Number of Moles of CO₂
Using the formula for moles:
\[ \text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} \]
Substituting the values:
\[ \text{Number of moles of CO₂} = \frac{88 \text{ g}}{44 \text{ g/mol}} = 2 \text{ moles} \]

### Step 3: Calculate the Number of Molecules of CO₂
Using Avogadro's number (approximately \(6.022 \times 10^{23}\) molecules/mol), we can find the number of molecules:
\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} \]
Substituting the values:
\[ \text{Number of molecules of CO₂} = 2 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} = 1.2044 \times 10^{24} \text{ molecules} \]

### Step 4: Calculate the Number of Oxygen Atoms
Each molecule of CO₂ contains 2 oxygen atoms. Therefore, the total number of oxygen atoms is:
\[ \text{Number of oxygen atoms} = \text{Number of molecules} \times 2 \]
Substituting the values:
\[ \text{Number of oxygen atoms} = 1.2044 \times 10^{24} \text{ molecules} \times 2 = 2.4088 \times 10^{24} \text{ oxygen atoms} \]

### Final Answer
Thus, the total number of oxygen atoms present in 88 g of CO₂ is approximately:
\[ 2.4088 \times 10^{24} \text{ oxygen atoms} \]

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