A flask contain 13.2g of `CO_2` gas. Calculate how many moles of` CO_2` gas does it contain?

Options

A. 0.1
B. 0.2
C. 0.3
D. 0.4

Explanation

To calculate the number of moles of \( CO_2 \) gas in a flask containing 13.2 g of the gas, follow these steps:

### Step 1: Determine the mass of \( CO_2 \)
The mass of \( CO_2 \) is given as 13.2 g.

### Step 2: Calculate the molar mass of \( CO_2 \)
To find the molar mass of \( CO_2 \), we need to sum the atomic masses of its constituent elements:
- The atomic mass of carbon (C) is approximately 12 g/mol.
- The atomic mass of oxygen (O) is approximately 16 g/mol.
Since there are two oxygen atoms in \( CO_2 \), we calculate the molar mass as follows:
\[ \text{Molar mass of } CO_2 = \text{Atomic mass of C} + 2 \times \text{Atomic mass of O} = 12 + 2 \times 16 = 12 + 32 = 44 \text{ g/mol} \]

### Step 3: Use the formula to calculate moles
The number of moles (\( n \)) can be calculated using the formula:
\[ n = \frac{\text{mass}}{\text{molar mass}} \]
Substituting the values we have:
\[ n = \frac{13.2 \text{ g}}{44 \text{ g/mol}} \approx 0.3 \text{ moles} \]

### Step 4: Conclusion
The flask contains approximately 0.3 moles of \( CO_2 \).

### Final Answer
The flask contains **0.3 moles of \( CO_2 \)**.

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