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The following reactions occur in aqueous solution. Complete and balance the molecular equations using phase labels. Then write the net ionic equations. a. \(\mathrm{CaS}+\mathrm{HBr} \longrightarrow\) b. \(\mathrm{MgCO}_{3}+\mathrm{HNO}_{3} \longrightarrow\) C. \(\mathrm{K}_{2} \mathrm{SO}_{3}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow\)

Short Answer

Expert verified
Molecular and net ionic for (a): \(\text{CaS} + 2\,\text{HBr} \rightarrow \text{CaBr}_2 + \text{H}_2\text{S}\); Net ionic: \(\text{CaS} + 2\,\text{H}^+ \rightarrow \text{Ca}^{2+} + \text{H}_2\text{S}\). For (b): \(\text{MgCO}_3 + 2\,\text{HNO}_3 \rightarrow \text{Mg(NO}_3)_2 + \text{H}_2\text{O} + \text{CO}_2\); Net: \(\text{MgCO}_3 + 2\,\text{H}^+ \rightarrow \text{Mg}^{2+} + \text{H}_2\text{O} + \text{CO}_2\). For (c): \(\text{K}_2\text{SO}_3 + \text{H}_2\text{SO}_4 \rightarrow \text{K}_2\text{SO}_4 + \text{H}_2\text{O} + \text{SO}_2\); Net: \(\text{SO}_3^{2-} + 2\,\text{H}^+ \rightarrow \text{H}_2\text{O} + \text{SO}_2\).

Step by step solution

01

Complete and balance the reaction for (a)

The reaction is between calcium sulfide (\(\text{CaS}\)) and hydrobromic acid (\(\text{HBr}\)). The products of this reaction are calcium bromide (\(\text{CaBr}_2\)) and hydrogen sulfide (\(\text{H}_2\text{S}\)). The balanced molecular equation is:\[ \text{CaS (s)} + 2\,\text{HBr (aq)} \rightarrow \text{CaBr}_2 \,(\text{aq}) + \text{H}_2\text{S} \,(\text{g}) \]
02

Write the net ionic equation for (a)

The net ionic equation involves only the species that undergo a chemical change. Calcium sulfide is a solid (insoluble), so it does not dissociate into ions. Hydrogen sulfide is released as a gas. Therefore, we have:\[ \text{CaS (s)} + 2\,\text{H}^+ \,(\text{aq}) \rightarrow \text{Ca}^{2+} \,(\text{aq}) + \text{H}_2\text{S} \,(\text{g}) \]
03

Complete and balance the reaction for (b)

The reaction is between magnesium carbonate (\(\text{MgCO}_3\)) and nitric acid (\(\text{HNO}_3\)). The products formed are magnesium nitrate (\(\text{Mg(NO}_3)_2\)) and carbonic acid (\(\text{H}_2\text{CO}_3\)), which decomposes into water and carbon dioxide gas. The balanced molecular equation is:\[ \text{MgCO}_3\,(\text{s}) + 2\,\text{HNO}_3\,(\text{aq}) \rightarrow \text{Mg(NO}_3)_2\,(\text{aq}) + \text{H}_2\text{O}\,(\text{l}) + \text{CO}_2\,(\text{g}) \]
04

Write the net ionic equation for (b)

For the net ionic equation, MgCO3 does not dissociate because it is a solid, and carbonic acid decomposes into CO2 gas and water. The net ionic equation is:\[ \text{MgCO}_3\,(\text{s}) + 2\,\text{H}^+\,(\text{aq}) \rightarrow \text{Mg}^{2+}\,(\text{aq}) + \text{H}_2\text{O}\,(\text{l}) + \text{CO}_2\,(\text{g}) \]
05

Complete and balance the reaction for (c)

The reaction between potassium sulfite (\(\text{K}_2\text{SO}_3\)) and sulfuric acid (\(\text{H}_2\text{SO}_4\)) forms potassium sulfate (\(\text{K}_2\text{SO}_4\)) and sulfurous acid (\(\text{H}_2\text{SO}_3\)), which can decompose into water and sulfur dioxide gas. The balanced molecular equation is:\[ \text{K}_2\text{SO}_3\,(\text{aq}) + \text{H}_2\text{SO}_4\,(\text{aq}) \rightarrow \text{K}_2\text{SO}_4\,(\text{aq}) + \text{H}_2\text{O}\,(\text{l}) + \text{SO}_2\,(\text{g}) \]
06

Write the net ionic equation for (c)

In the net ionic equation, potassium ions do not participate as they remain in the solution as spectators. The net ionic equation is:\[ \text{SO}_3^{2-}\,(\text{aq}) + 2\,\text{H}^+\,(\text{aq}) \rightarrow \text{H}_2\text{O}\,(\text{l}) + \text{SO}_2\,(\text{g}) \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Aqueous Solution Reactions
Reactions that occur in an aqueous solution involve substances dissolved in water. In these reactions, water acts as the solvent, enabling the reactants to interact more freely and form products. Aqueous solutions are essential in chemistry due to their ability to facilitate reactions, dissolve various substances, and conduct electricity. For example, when acids like
  • hydrobromic acid (\(\text{HBr}\)),
  • nitric acid (\(\text{HNO}_3\)), and
  • sulfuric acid (\(\text{H}_2\text{SO}_4\))
are mixed with other compounds in water, they can result in the formation of gases or precipitates, depending on the reaction's chemistry.
Connections with aqueous solutions also allow for ionic dissociation where compounds like salts dissolve to form cations and anions. This is crucial for reactions that proceed via ionic pathways, where charged particles interact to form new products.
Balancing Chemical Equations
Balancing chemical equations is fundamental to ensuring that mass and charge are conserved in a chemical reaction. This means that each type of atom must appear in the same quantity on both sides of the equation.To balance an equation, you start by writing the unbalanced equation with the correct reactants and products. Then, adjust coefficients to ensure the number of atoms for each element is equal on both sides. For instance, consider the reaction between magnesium carbonate and nitric acid:
  • The formula \(\text{MgCO}_3 + 2\text{HNO}_3 \rightarrow \text{Mg(NO}_3)_2 + \text{H}_2\text{O} + \text{CO}_2\) illustrates that two nitrate ions (\(\text{NO}_3^-\)) are required to balance with one magnesium ion (\(\text{Mg}^{2+}\)).
Sometimes, balancing also involves recognizing compounds that decompose during the reaction, such as \(\text{H}_2\text{CO}_3\) becoming water and carbon dioxide.
Molecular Equations
Molecular equations provide a straightforward representation of a chemical reaction by showing the complete chemical formulas of the reactants and products. These equations present a clear picture of the substances involved in the reaction without indicating the ionic nature of the compounds.Using molecular equations simplifies understanding by offering a "snapshot" of the reaction's overall process. For instance, in the equation for the reaction of calcium sulfide with hydrobromic acid:
  • \(\text{CaS (s) + 2 \text{HBr} (aq) \rightarrow \text{CaBr}_2 (aq) + \text{H}_2\text{S} (g)}\)
we see the reactants and products laid out clearly, indicating that a solid reactant reacts to form an aqueous product and a gas. These visual elements help in specifying phase labels, which are crucial for distinguishing between solids, liquids, gases, and aqueous solutions in an equation.
Solubility and Phase Labels
Understanding solubility and phase labels is essential to correctly writing and interpreting chemical equations, especially in aqueous solutions. Solubility refers to a substance's ability to dissolve in a solvent, typically water in these discussions.Each compound in a chemical reaction is assigned a phase label, such as:
  • \(\text{(s)}\) for solid,
  • \(\text{(l)}\) for liquid,
  • \(\text{(g)}\) for gas, and
  • \(\text{(aq)}\) for an aqueous solution (dissolved in water).
Knowing whether a product or reactant is soluble helps determine how it will behave in the solution.
For example, calcium sulfide \(\text{(CaS)}\) forms a solid precipitate, whereas substances like \(\text{H}_2\text{S}\) form a gas. Water-soluble substances such as \(\text{CaBr}_2\) or \(\text{Mg(NO}_3)_2\) will be labeled \(\text{(aq)}\) to reflect their dissociation into constituent ions when in solution.

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Most popular questions from this chapter

Magnesium metal reacts with hydrobromic acid to produce hydrogen gas and a solution of magnesium bromide. Write the molecular equation for this reaction. Then write the corresponding net ionic equation.

Identify each of the following reactions as being a neutralization, precipitation, or oxidation-reduction reaction. a. \(\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{CO}(g) \longrightarrow 2 \mathrm{Fe}(s)+3 \mathrm{CO}_{2}(g)\) b. \(\mathrm{Na}_{2} \mathrm{SO}_{4}(a q)+\mathrm{Hg}\left(\mathrm{NO}_{3}\right)_{2}(a q) \longrightarrow\) $$ \mathrm{HgSO}_{4}(s)+2 \mathrm{NaNO}_{3}(a q) $$ c. \(\mathrm{CsOH}(a q)+\mathrm{HClO}_{4}(a q) \longrightarrow\) $$ \mathrm{Cs}^{+}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{ClO}_{4}^{-}(a q) $$ d. \(\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}(g)+\mathrm{Na}_{2} \mathrm{~S}(a q) \longrightarrow \mathrm{MgS}(s)+2 \mathrm{NaNO}_{3}(a q)\)

An aqueous solution contains \(4.50 \mathrm{~g}\) of calcium chloride, \(\mathrm{CaCl}_{2}\), per liter. What is the molarity of \(\mathrm{CaCl}_{2}\) ? When calcium chloride dissolves in water, the calcium ions, \(\mathrm{Ca}^{2+}\), and chloride ions, \(\mathrm{Cl}^{-}\), in the crystal go into the solution. What is the molarity of each ion in the solution?

A \(50.0-\mathrm{mL}\) volume of \(\mathrm{AgNO}_{3}\) solution contains \(0.0285\) mol \(\mathrm{AgNO}_{3}\) (silver nitrate). What is the molarity of the solution?

A transition metal \(\mathrm{X}\) forms an oxide of formula \(\mathrm{X}_{2} \mathrm{O}_{3} .\) It is found that only \(50 \%\) of \(X\) atoms in this compound are in the \(+3\) oxidation state. The only other stable oxidation states of \(\mathrm{X}\) are \(+2\) and \(+5 .\) What percentage of \(X\) atoms are in the \(+2\) oxidation state in this compound?

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