To determine the number of hydrogen atoms in a molecule of table sugar (sucrose), we need to examine its chemical formula, which is [tex]\( C_{12}H_{22}O_{11} \)[/tex].
The chemical formula provides a lot of information. Each element is represented by its chemical symbol, and the subscript following the symbol indicates the number of atoms of that element in one molecule of the compound.
1. The formula starts with [tex]\( C_{12} \)[/tex], which means there are 12 carbon atoms.
2. Next is [tex]\( H_{22} \)[/tex], and the subscript 22 shows that there are 22 hydrogen atoms.
3. Finally, [tex]\( O_{11} \)[/tex] tells us there are 11 oxygen atoms.
Since the question specifically asks for the number of hydrogen atoms, we focus on the part of the formula that pertains to hydrogen, which is [tex]\( H_{22} \)[/tex].
Therefore, the number of hydrogen atoms in one molecule of table sugar is 22.
So, the correct answer is [tex]\( \text{A. } 22 \)[/tex].