Math Problem Statement
Solution
Let's analyze the reaction provided in the image and solve the problem step by step.
Given:
- 100 mL of 0.1 M Ca(OH)₂ (Calcium Hydroxide)
- 100 mL of 0.1 M HCl (Hydrochloric Acid)
- Reaction:
Steps to solve:
-
Determine the number of moles of each reactant:
-
Ca(OH)₂:
-
HCl:
-
-
Determine the limiting reagent: The balanced equation shows that 1 mole of Ca(OH)₂ reacts with 2 moles of HCl.
We need 2 moles of HCl for every mole of Ca(OH)₂. But since we only have 0.01 mol of HCl, which is not enough to fully react with the 0.01 mol of Ca(OH)₂, HCl is the limiting reagent. -
Determine the amount of product (CaCl₂) formed: According to the stoichiometry of the reaction, 1 mole of Ca(OH)₂ produces 1 mole of CaCl₂.
Therefore, the amount of CaCl₂ produced is based on the limiting reagent HCl: -
Determine the excess reactant (Ca(OH)₂) left: Since 0.01 mol of HCl reacts with 0.005 mol of Ca(OH)₂ (based on the stoichiometric ratio), the leftover Ca(OH)₂ is:
Final answers:
- Limiting reagent: HCl
- Excess reagent: Ca(OH)₂ (0.005 mol left)
- Moles of CaCl₂ produced: 0.005 mol
Let me know if you need further clarifications or a more detailed explanation!
Here are some follow-up questions:
- How does stoichiometry help in determining the limiting reagent?
- What would happen if the volume of HCl were doubled in this reaction?
- How is the concept of molarity used in this problem?
- What is the role of the balanced chemical equation in predicting reaction outcomes?
- Could this reaction be done with a different base, such as NaOH? How would the results change?
Tip:
Always balance the chemical equation before starting stoichiometry problems, as it ensures accurate calculations of reactants and products.
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molarity
Limiting Reagents
Formulas
Moles = Molarity (M) × Volume (L)
Stoichiometric coefficients for reaction: 1 mol Ca(OH)₂ reacts with 2 mol HCl
Theorems
Law of Conservation of Mass
Suitable Grade Level
Grades 9-12
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