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What is the total ionic equation for the following reaction?

[tex]\[ \text{HCN} + \text{LiOH} \rightarrow \][/tex]

A. [tex]\[ \text{H} ^{+}+ \text{OH} ^{-} \rightarrow \text{H} _2 \text{O} \][/tex]

B. [tex]\[ \text{CN} ^{-}+ \text{Li} ^{+} \rightarrow \text{Li} ^{+}+ \text{CN} ^{-} \][/tex]

C. [tex]\[ \text{H} ^{+}+ \text{CN} ^{-}+ \text{Li} ^{+}+ \text{OH} ^{-} \rightarrow \text{Li} ^{+}+ \text{CN} ^{-}+ \text{H} _2 \text{O} \][/tex]

What is the net ionic equation?

A. [tex]\[ \text{HCN} \rightarrow \text{H} ^{+}+ \text{CN} ^{-} \][/tex]

B. [tex]\[ \text{CN} ^{-}+ \text{Li} ^{+} \rightarrow \text{Li} ^{+}+ \text{CN} ^{-} \][/tex]

C. [tex]\[ \text{H} ^{+}+ \text{OH} ^{-} \rightarrow \text{H} _2 \text{O} \][/tex]



Answer :

GinnyAnswer
To write the total ionic equation and the net ionic equation for the reaction between hydrogen cyanide ([tex]\(HCN\)[/tex]) and lithium hydroxide ([tex]\(LiOH\)[/tex]), follow these steps:

### Total Ionic Equation:
1. Dissociation of Reactants: HCN is a weak acid and partially dissociates into [tex]\(H^+\)[/tex] and [tex]\(CN^-\)[/tex]. LiOH is a strong base and fully dissociates into [tex]\(Li^+\)[/tex] and [tex]\(OH^-\)[/tex].

[tex]\[ HCN \rightarrow H^+ + CN^- \][/tex]
[tex]\[ LiOH \rightarrow Li^+ + OH^- \][/tex]

When combined, the total ionic equation includes all ions present in the reaction mixture:

[tex]\[ H^+ + CN^- + Li^+ + OH^- \rightarrow Li^+ + CN^- + H_2O \][/tex]

2. Formation of Products: [tex]\(H^+\)[/tex] reacts with [tex]\(OH^-\)[/tex] to form water ([tex]\(H_2O\)[/tex]), while [tex]\(Li^+\)[/tex] and [tex]\(CN^-\)[/tex] remain unchanged as spectators.

[tex]\[ H^+ + OH^- \rightarrow H_2O \][/tex]

### Net Ionic Equation:
To find the net ionic equation, we eliminate the spectator ions from the total ionic equation. The spectator ions in this reaction are [tex]\(Li^+\)[/tex] and [tex]\(CN^-\)[/tex], as they do not participate in the formation of the final product (water).

Removing the spectator ions, we obtain the net ionic equation:

[tex]\[ H^+ + OH^- \rightarrow H_2O \][/tex]

### Summary:
- Total Ionic Equation:
[tex]\[ H^+ + CN^- + Li^+ + OH^- \rightarrow Li^+ + CN^- + H_2O \][/tex]

- Net Ionic Equation:
[tex]\[ H^+ + OH^- \rightarrow H_2O \][/tex]

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