By definition, one mole of any substance contains Avogadro's number of particles, which is 6.022 × 10²³ particles (commonly approximated as 6.023 × 10²³). This applies to atoms, molecules, or ions depending on the nature of the substance.
So, 1 mole of H₂ gas contains exactly 6.023 × 10²³ molecules of hydrogen gas.
The correct answer is option (A): \(6.023 \times 10^{23}\)