Concept: An amphoteric substance is one that can behave both as an acid and as a base depending upon the reacting species. According to the Brønsted-Lowry concept:
• Acids donate protons \((H^+)\)
• Bases accept protons \((H^+)\)
A substance capable of both donating and accepting protons is called amphoteric or amphiprotic.
Some metal oxides also show amphoteric behavior because they react with both acids and bases.
Step 1: Checking the nature of \(NH_3\).
Ammonia \((NH_3)\) mainly acts as a base because it accepts a proton:
\[
NH_3 + H^+ \rightarrow NH_4^+
\]
Under certain conditions, it can also donate a proton very weakly. Hence, it can exhibit amphoteric behavior in advanced acid-base chemistry.
Step 2: Checking the nature of \(HCl\).
Hydrochloric acid is a strong acid:
\[
HCl \rightarrow H^+ + Cl^-
\]
It donates protons very easily but does not accept protons. Therefore, it behaves only as an acid and is not amphoteric.
Step 3: Checking the nature of \(H_2O\).
Water is a classic amphoteric substance.
• It can donate a proton:
\[
H_2O \rightarrow H^+ + OH^-
\]
• It can also accept a proton:
\[
H_2O + H^+ \rightarrow H_3O^+
\]
Therefore, water is amphoteric.
Step 4: Checking the nature of \(Cr_2O_3\).
Chromium oxide reacts with both acids and bases.
• With acids, it behaves as a base.
• With bases, it behaves as an acid.
Hence, \(Cr_2O_3\) is amphoteric.
Step 5: Final conclusion.
Among the given compounds, \(HCl\) behaves only as an acid and does not show amphoteric nature.
Therefore, the correct answer is:
\[
\boxed{(2)\ HCl}
\]