Write whether the statement is true or false? 1 mole of `C_(12)H_(22)O_(11)` contain 22 hydrogen atoms.

Answer

To determine whether the statement "1 mole of C₁₂H₂₂O₁₁ contains 22 hydrogen atoms" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Chemical Formula**:
The chemical formula given is C₁₂H₂₂O₁₁, which is the formula for sucrose (table sugar).

2. **Count the Atoms in One Molecule**:
- In the formula C₁₂H₂₂O₁₁:
- There are 12 carbon (C) atoms.
- There are 22 hydrogen (H) atoms.
- There are 11 oxygen (O) atoms.
- Therefore, one molecule of sucrose contains a total of:
- 12 (C) + 22 (H) + 11 (O) = 45 atoms.

3. **Determine the Number of Molecules in One Mole**:
- One mole of any substance contains Avogadro's number of molecules, which is approximately \(6.02 \times 10^{23}\).

4. **Calculate the Number of Hydrogen Atoms in One Mole**:
- Since one molecule of sucrose contains 22 hydrogen atoms, one mole of sucrose (which contains \(6.02 \times 10^{23}\) molecules) will contain:
- \(22 \text{ hydrogen atoms/molecule} \times 6.02 \times 10^{23} \text{ molecules} = 1.32 \times 10^{25} \text{ hydrogen atoms}\).

5. **Evaluate the Original Statement**:
- The statement claims that "1 mole of C₁₂H₂₂O₁₁ contains 22 hydrogen atoms." However, we calculated that it actually contains \(1.32 \times 10^{25}\) hydrogen atoms.
- Therefore, the statement is **false**.

### Final Answer:
The statement "1 mole of C₁₂H₂₂O₁₁ contains 22 hydrogen atoms" is **false**.