Which equation represents the total ionic equation for the reaction of [tex]$HNO_3$[/tex] and NaOH?

A. [tex]H^{+} + OH^{-} \longrightarrow H_2O[/tex]
B. [tex]HNO_3 + NaOH \longrightarrow NaNO_3 + H_2O[/tex]
C. [tex]H^{+} + NO_3^{-} + Na^{+} + OH^{-} \longrightarrow Na^{+} + NO_3^{-} + H_2O[/tex]
D. [tex]H^{+} + NO_3^{-} + OH^{-} \longrightarrow NO_3^{-} + H_2O[/tex]



Answer :

To determine the total ionic equation for the reaction between nitric acid (HNO₃) and sodium hydroxide (NaOH), let's break down each step:

1. Dissociation of Reactants:
- Nitric Acid (HNO₃) dissociates in water to form hydrogen ions (H⁺) and nitrate ions (NO₃⁻):
[tex]\[ \text{HNO}_3 \rightarrow \text{H}^+ + \text{NO}_3^- \][/tex]
- Sodium Hydroxide (NaOH) dissociates in water to form sodium ions (Na⁺) and hydroxide ions (OH⁻):
[tex]\[ \text{NaOH} \rightarrow \text{Na}^+ + \text{OH}^- \][/tex]

2. Combining all Ions:
- When these dissociated ions are in solution, we have:
[tex]\[ \text{H}^+ + \text{NO}_3^- + \text{Na}^+ + \text{OH}^- \][/tex]

3. Reaction that Occurs:
- The H⁺ ions react with OH⁻ ions to form water (H₂O):
[tex]\[ \text{H}^+ + \text{OH}^- \rightarrow \text{H}_2\text{O} \][/tex]
- The sodium ions (Na⁺) and nitrate ions (NO₃⁻) remain unchanged in the solution as spectator ions:

4. Total Ionic Equation:
- Combining these steps, the complete ionic equation is:
[tex]\[ \text{H}^+ + \text{NO}_3^- + \text{Na}^+ + \text{OH}^- \rightarrow \text{Na}^+ + \text{NO}_3^- + \text{H}_2\text{O} \][/tex]

Therefore, the total ionic equation for the reaction between HNO₃ and NaOH is:

[tex]\[ \text{H}^+ + \text{NO}_3^- + \text{Na}^+ + \text{OH}^- \rightarrow \text{Na}^+ + \text{NO}_3^- + \text{H}_2\text{O} \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{\text{H}^+ + \text{NO}_3^- + \text{Na}^+ + \text{OH}^- \rightarrow \text{Na}^+ + \text{NO}_3^- + \text{H}_2\text{O}} \][/tex]