Calculate the number of moles :
34.2 g of sucrose (`C_(12)H_(22)O_(11)`)

Answer

To calculate the number of moles in 34.2 g of sucrose (C₁₂H₂₂O₁₁), we will follow these steps:

### Step 1: Calculate the molar mass of sucrose (C₁₂H₂₂O₁₁)
- **Carbon (C)**: There are 12 carbon atoms, and the atomic mass of carbon is approximately 12 g/mol.
\[ 12 \, \text{C} \times 12 \, \text{g/mol} = 144 \, \text{g/mol} \]

- **Hydrogen (H)**: There are 22 hydrogen atoms, and the atomic mass of hydrogen is approximately 1 g/mol.
\[ 22 \, \text{H} \times 1 \, \text{g/mol} = 22 \, \text{g/mol} \]

- **Oxygen (O)**: There are 11 oxygen atoms, and the atomic mass of oxygen is approximately 16 g/mol.
\[ 11 \, \text{O} \times 16 \, \text{g/mol} = 176 \, \text{g/mol} \]

Now, we will sum these values to find the total molar mass of sucrose:
\[ \text{Molar mass of sucrose} = 144 \, \text{g/mol} + 22 \, \text{g/mol} + 176 \, \text{g/mol} = 342 \, \text{g/mol} \]

### Step 2: Use the molar mass to calculate the number of moles
We know that 342 g of sucrose corresponds to 1 mole. To find the number of moles in 34.2 g of sucrose, we can set up a proportion:
\[ \text{Number of moles} = \frac{\text{mass of sucrose}}{\text{molar mass of sucrose}} = \frac{34.2 \, \text{g}}{342 \, \text{g/mol}} \]

### Step 3: Calculate the number of moles
Now, we perform the calculation:
\[ \text{Number of moles} = \frac{34.2}{342} \approx 0.1 \, \text{moles} \]

### Final Answer
Thus, the number of moles in 34.2 g of sucrose is approximately **0.1 moles**.

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