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An experiment is performed to measure the mass percent of CaCO3(s) in eggshells. Five different sampStoichiometry Chemistry Question

Question

An experiment is performed to measure the mass percent of CaCO3(s) in eggshells. Five different samples of CaCO3(s) of known mass react with an excess of 2.0 M HCl(aq) in identical sealed, rigid reaction vessels. The pressure of the gas produced is measured with a pressure gauge attached to the reaction vessel. Since the reaction is exothermic, the reaction system is cooled to its original temperature before the pressure is recorded. The experimental data are used to create the calibration line below.

[VISUAL]

Which of the following equations best represents the species that react and the species that are produced when CaCO3(s) and HCl(aq) are combined?

A.

2 H+(aq) + CaCO3(s) → Ca2+(aq) + CO32-(aq) + H2(g)

B.

2 H+(aq) + CaCO3(s) → Ca2+(aq) + H2O(l) + CO2(g)

✓ Correct
C.

2 H+(aq) + CaCO3(s) → Ca2+(aq) + 2 OH-(aq) + CO(g)

D.

2 HCl(aq) + CaCO3(s) → Ca2+(aq) + H2O(l) + CO2(g) + 2 Cl-(aq)

💡 Solution & Explanation

STEPS:

1. Identify the reaction type and expected products:
The chemical reaction between solid calcium carbonate (CaCO3(s)\text{CaCO}_3(s)) and hydrochloric acid (HCl(aq)\text{HCl}(aq)) is an acid-carbonate reaction. This class of reaction produces a salt, water, and a gas. Specifically, the reactants yield aqueous calcium chloride (CaCl2\text{CaCl}_2), liquid water (H2O\text{H}_2\text{O}), and carbon dioxide gas (CO2\text{CO}_2).

2. Understand how the species exist in aqueous solution:
Because the question asks for the species that react and the species that are produced, the process is best represented using a net ionic equation. To write this, we must examine the physical state of each substance in water:
* CaCO3(s)\text{CaCO}_3(s) is an insoluble ionic solid, so it remains intact as a solid reactant.
* HCl(aq)\text{HCl}(aq) is a strong acid that dissociates completely in water to exist as free H+(aq)\text{H}^+(aq) and Cl(aq)\text{Cl}^-(aq) ions.
* CaCl2(aq)\text{CaCl}_2(aq) is a highly soluble ionic salt that exists as dissociated Ca2+(aq)\text{Ca}^{2+}(aq) and Cl(aq)\text{Cl}^-(aq) ions.
* H2O(l)\text{H}_2\text{O}(l) and CO2(g)\text{CO}_2(g) are covalent molecular substances that do not dissociate into ions.

3. Write the complete ionic equation:
By representing all strong electrolytes as dissociated ions, we get the complete ionic equation:
CaCO3(s)+2 H+(aq)+2 Cl(aq)Ca2+(aq)+2 Cl(aq)+H2O(l)+CO2(g)\text{CaCO}_3(s) + 2\ \text{H}^+(aq) + 2\ \text{Cl}^-(aq) \rightarrow \text{Ca}^{2+}(aq) + 2\ \text{Cl}^-(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g)

4. Identify and remove spectator ions:
Spectator ions are ions that appear chemically unchanged on both the reactant and product sides of the equation. In this reaction, chloride ions (Cl(aq)\text{Cl}^-(aq)) are spectators. Because spectator ions do not participate in the chemical change, they are omitted to produce the net ionic equation.

5. Formulate the final net ionic equation:
Canceling out the chloride ions on both sides leaves the net ionic equation:
2 H+(aq)+CaCO3(s)Ca2+(aq)+H2O(l)+CO2(g)2\ \text{H}^+(aq) + \text{CaCO}_3(s) \rightarrow \text{Ca}^{2+}(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g)
This matches Option B.

*

WHY_OTHERS_WRONG:

  • Option A is incorrect: This equation suggests the reaction produces carbonate ions (CO32\text{CO}_3^{2-}) and hydrogen gas (H2\text{H}_2). Acids react with carbonates to produce carbon dioxide gas and water, not hydrogen gas.
  • Option C is incorrect: This option proposes the formation of carbon monoxide (CO\text{CO}) gas and basic hydroxide (OH\text{OH}^-) ions, which is chemically incorrect for an acid-carbonate neutralization reaction.
  • Option D is incorrect: Although this equation is stoichiometrically balanced and lists the correct products, it represents the reaction in molecular/complete ionic form by failing to cancel the spectator chloride ions (Cl\text{Cl}^-) and keeping HCl\text{HCl} in molecular form. A proper representation of reacting species in solution must omit spectator ions.
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