8. Convert $$ 3.5 imes 10^{25} $$ molecules of carbon dioxide to grams

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8. Convert $$ 3.5 	imes 10^{25} $$ molecules of carbon dioxide to grams

UpStudy AI · Accepted Answer

To convert $$ 3.5 \times 10^{25} $$ molecules of carbon dioxide (CO₂) to grams, follow these steps:

### 1. **Determine the Number of Moles**

Use Avogadro's number, which is $$ 6.022 \times 10^{23} $$ molecules/mol, to convert molecules to moles:

$$
\text{Moles of CO}_2 = \frac{3.5 \times 10^{25} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mol}} \approx 58.12 \text{ mol}
$$

### 2. **Calculate the Molar Mass of CO₂**

Carbon dioxide (CO₂) consists of one carbon atom and two oxygen atoms.

- **Carbon (C):** $$ 12.01 \text{ g/mol} $$
- **Oxygen (O):** $$ 16.00 \text{ g/mol} $$ × 2 = $$ 32.00 \text{ g/mol} $$

$$
\text{Molar Mass of CO}_2 = 12.01 \text{ g/mol} + 32.00 \text{ g/mol} = 44.01 \text{ g/mol}
$$

### 3. **Convert Moles to Grams**

Multiply the number of moles by the molar mass to find the mass in grams:

$$
\text{Mass of CO}_2 = 58.12 \text{ mol} \times 44.01 \text{ g/mol} \approx 2554 \text{ g}
$$

### **Final Answer**

$$ 3.5 \times 10^{25} $$ molecules of carbon dioxide is equal to approximately **2.55 × 10³ grams**.
$$ 3.5 \times 10^{25} $$ molecules of carbon dioxide is approximately 2,554 grams.

Convert molecules of carbon dioxide to grams

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