Step 1: Understand the dissociation of \( \text{HCl} \)
Hydrochloric acid (\( \text{HCl} \)) is a strong acid and dissociates completely in water: \[ \text{HCl} \rightarrow \text{H}^+ + \text{Cl}^- \]
Step 2: Determine the concentration of \( \text{H}^+ \)
Due to complete dissociation of \( \text{HCl} \), the \( \text{H}^+ \) ion concentration equals the \( \text{HCl} \) concentration.
Given: \( \text{HCl} \) concentration = \( 0.1 \, \text{M} \).
Therefore, the \( \text{H}^+ \) ion concentration is \( 0.1 \, \text{M} \).
Answer:
The molar concentration of hydrogen ions is \( 0.1 \, \text{M} \). Option (1) is correct.