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Which of the following is the complete ionic equation of the reaction between hydroiodic acid and aqueous lithium sulfide?

Select one:

a. [tex]2 H ^{+}( aq )+ S ^{2-}( aq ) \rightarrow H _2 S( g )[/tex]

b. [tex]2 I ^{-}( aq )+2 Li \rightarrow 2 Li ^{+}+2 I ^{-}( aq )[/tex]

c. [tex]2 I ^{-}( aq )+2 Li \rightarrow 2 LiI[/tex]

d. [tex]2 H ^{+}( aq )+2 I ^{-}( aq )+2 Li ^{+}( aq )+ S ^{2-}( aq ) \rightarrow H _2 S( g )+2 Li ^{+}( aq )+2 I ^{-}( aq )[/tex]

Sagot :

GinnyAnsweridn
Alright, let's work through the solution step-by-step.

### Step 1: Understanding the Reaction
The reaction between hydroiodic acid (HI) and aqueous lithium sulfide (Li₂S) can be represented in a molecular form:

[tex]\[ 2 \text{HI}(aq) + \text{Li}_2\text{S}(aq) \rightarrow \text{H}_2\text{S}(g) + 2 \text{LiI}(aq) \][/tex]

### Step 2: Breaking Down into Ions
To write the complete ionic equation, we need to break down the compounds that are in aqueous state into their respective ions:

1. Hydroiodic acid (HI) dissociates in water:
[tex]\[ \text{HI}(aq) \rightarrow \text{H}^{+}(aq) + \text{I}^{-}(aq) \][/tex]
Since we have 2 HI:
[tex]\[ 2 \text{HI}(aq) \rightarrow 2 \text{H}^{+}(aq) + 2 \text{I}^{-}(aq) \][/tex]

2. Lithium sulfide (Li₂S) dissociates in water:
[tex]\[ \text{Li}_2\text{S}(aq) \rightarrow 2 \text{Li}^{+}(aq) + \text{S}^{2-}(aq) \][/tex]

### Step 3: Writing the Ionic Reactants and Products
Now, we combine these ions on the reactant side:

[tex]\[ 2 \text{H}^{+}(aq) + 2 \text{I}^{-}(aq) + 2 \text{Li}^{+}(aq) + \text{S}^{2-}(aq) \][/tex]

Likewise, on the product side, lithium iodide will remain dissociated in its ionic form, while hydrogen sulfide (H₂S) will be a gas and remain in its molecular form.

[tex]\[ \text{H}_2\text{S}(g) + 2 \text{Li}^{+}(aq) + 2 \text{I}^{-}(aq) \][/tex]

### Step 4: Assembling the Complete Ionic Equation
The ions on both sides should now match:

[tex]\[ 2 \text{H}^{+}(aq) + 2 \text{I}^{-}(aq) + 2 \text{Li}^{+}(aq) + \text{S}^{2-}(aq) \rightarrow \text{H}_2\text{S}(g) + 2 \text{Li}^{+}(aq) + 2 \text{I}^{-}(aq) \][/tex]

### Step 5: Identifying the Equation From the Options
Evaluating the given options, the complete ionic equation is:

[tex]\[ 2 \text{H}^{+}(aq) + 2 \text{I}^{-}(aq) + 2 \text{Li}^{+}(aq) + \text{S}^{2-}(aq) \rightarrow \text{H}_2\text{S}(g) + 2 \text{Li}^{+}(aq) + 2 \text{I}^{-}(aq) \][/tex]

### Conclusion
From the given options, option d matches exactly with our complete ionic equation:

d. [tex]\( 2 \text{H} ^{+}( \text{aq} ) + 2 \text{I} ^{-}( \text{aq} ) + 2 \text{Li} ^{+}( \text{aq} ) + \text{S} ^{2-}( \text{aq} ) \rightarrow \text{H}_2 \text{S}( \text{g} ) + 2 \text{Li} ^{+}( \text{aq} ) + 2 \text{I} ^{-}( \text{aq} ) \)[/tex]

Thus, the correct choice is 4, which corresponds to option d.
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