How many moles are represented by 100 g of glucose, `C_6H_12O_6` ​ .

Explanation

To find out how many moles are represented by 100 g of glucose (C₆H₁₂O₆), we can follow these steps:

### Step 1: Determine the molar mass of glucose (C₆H₁₂O₆)
- The molecular formula of glucose indicates that it contains:
- 6 carbon (C) atoms
- 12 hydrogen (H) atoms
- 6 oxygen (O) atoms

- We need to find the atomic masses of each element:
- Atomic mass of Carbon (C) = 12 g/mol
- Atomic mass of Hydrogen (H) = 1 g/mol
- Atomic mass of Oxygen (O) = 16 g/mol

- Now, calculate the total molar mass:
\[ \text{Molar mass of glucose} = (6 \times 12) + (12 \times 1) + (6 \times 16) \]
\[ = 72 + 12 + 96 = 180 \text{ g/mol} \]

### Step 2: Use the formula to calculate moles
- The formula to calculate the number of moles is:
\[ \text{Number of moles} = \frac{\text{Given mass}}{\text{Molar mass}} \]

- Substitute the values:
\[ \text{Given mass} = 100 \text{ g} \]
\[ \text{Molar mass} = 180 \text{ g/mol} \]
\[ \text{Number of moles} = \frac{100 \text{ g}}{180 \text{ g/mol}} \approx 0.5556 \text{ moles} \]

### Step 3: Round to appropriate significant figures
- Rounding to two decimal places, we find:
\[ \approx 0.56 \text{ moles} \]

### Final Answer
Thus, 100 g of glucose represents approximately **0.56 moles**.

---