How many moles are represented by 110 g of glucose, `C_6H_12O_6`.

Options

A. 1.6
B. 0.61
C. 6.1
D. None

Explanation

To find out how many moles are represented by 110 g of glucose (C₆H₁₂O₆), we can follow these steps:

### Step 1: Identify the given data
- Mass of glucose (C₆H₁₂O₆) = 110 g

### Step 2: Calculate the molar mass of glucose
The molar mass of glucose can be calculated by adding the atomic masses of all the atoms in the formula:
- Carbon (C): 12.01 g/mol × 6 = 72.06 g/mol
- Hydrogen (H): 1.008 g/mol × 12 = 12.096 g/mol
- Oxygen (O): 16.00 g/mol × 6 = 96.00 g/mol

Now, adding these together:
\[ \text{Molar mass of } C_6H_{12}O_6 = 72.06 + 12.096 + 96.00 = 180.156 \text{ g/mol} \]
For simplicity, we can round this to 180 g/mol.

### Step 3: Use the formula to calculate moles
The number of moles (n) can be calculated using the formula:
\[ n = \frac{\text{Given mass}}{\text{Molar mass}} \]
Substituting the values we have:
\[ n = \frac{110 \text{ g}}{180 \text{ g/mol}} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ n = \frac{110}{180} \approx 0.6111 \text{ moles} \]
Rounding this to two decimal places gives us approximately 0.61 moles.

### Step 5: Conclusion
Thus, the number of moles represented by 110 g of glucose is approximately **0.61 moles**.

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