Question 186 of 513
220g of carbon dioxide contains ----- moles
Correct Answer:
A
Explanation
To determine how many moles are in 220 grams of carbon dioxide (CO₂), we need to use the concept of molar mass and the formula for calculating moles. Let's break this down step-by-step.
### Step 1: Understand the Concept of Moles
Moles are a unit of measurement in chemistry that allows us to count particles (like atoms or molecules) in a substance. One mole of any substance contains Avogadro's number of particles, which is approximately \(6.022 \times 10^{23}\) particles.
### Step 2: Calculate the Molar Mass of Carbon Dioxide (CO₂)
To find the number of moles in a given mass of a substance, we first need to know its molar mass. The molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol).
1. **Identify the elements in CO₂**:
- Carbon (C)
- Oxygen (O)
2. **Find the atomic masses** (approximately):
- Carbon (C): 12.01 g/mol
- Oxygen (O): 16.00 g/mol
3. **Calculate the molar mass of CO₂**:
- CO₂ has 1 carbon atom and 2 oxygen atoms.
- Molar mass of CO₂ = (1 × 12.01 g/mol) + (2 × 16.00 g/mol)
- Molar mass of CO₂ = 12.01 g/mol + 32.00 g/mol = 44.01 g/mol
### Step 3: Use the Molar Mass to Calculate Moles
Now that we have the molar mass of CO₂, we can calculate the number of moles in 220 grams of CO₂ using the formula:
\[
\text{Number of moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}}
\]
Substituting the values we have:
\[
\text{Number of moles} = \frac{220 \text{ g}}{44.01 \text{ g/mol}} \approx 5.00 \text{ moles}
\]
### Step 4: Analyze the Options
Now, let's look at the options provided:
- **A. 5** (This is the correct answer)
- **B. 6** (This is incorrect; it overestimates the number of moles based on the given mass.)
- **C. 3** (This is incorrect; it underestimates the number of moles significantly.)
- **D. 4** (This is incorrect; it is also an underestimation of the number of moles.)
### Step 5: Conclusion
The correct answer is **A. 5** moles of carbon dioxide in 220 grams.
### Revision Summary
- Moles are a way to count particles in chemistry, using Avogadro's number.
- The molar mass of CO₂ is calculated as 44.01 g/mol.
- The number of moles can be calculated using the formula: \(\text{Number of moles} = \frac{\text{mass}}{\text{molar mass}}\).
- For 220 g of CO₂, the calculation yields approximately 5 moles.
This thorough understanding of moles and molar mass is crucial for solving similar problems in chemistry.