Math Problem Statement

Skip Compare the total mass of the reactants to the total mass of the products. What choice demonstrates the Law of Conservation of Mass?

4 g H₂ + 61 g Cl₂ → 75 g HCl

12 g C + 22 g O₂ → 44 g CO₂

23 g Na + 12 g H₂O → 40 g NaOH + 1 g H₂

10 g H₂ + 46 g N₂ → 56 g NH₃

Solution

To demonstrate the Law of Conservation of Mass, the total mass of the reactants must equal the total mass of the products. Let's analyze each equation.

  1. 4 g H₂ + 61 g Cl₂ → 75 g HCl

    • Total mass of reactants: 4g+61g=65g4 \, \text{g} + 61 \, \text{g} = 65 \, \text{g}
    • Total mass of products: 75g75 \, \text{g}
    • Not conserved, because 65g75g65 \, \text{g} \neq 75 \, \text{g}.
  2. 12 g C + 22 g O₂ → 44 g CO₂

    • Total mass of reactants: 12g+22g=34g12 \, \text{g} + 22 \, \text{g} = 34 \, \text{g}
    • Total mass of products: 44g44 \, \text{g}
    • Not conserved, because 34g44g34 \, \text{g} \neq 44 \, \text{g}.
  3. 23 g Na + 12 g H₂O → 40 g NaOH + 1 g H₂

    • Total mass of reactants: 23g+12g=35g23 \, \text{g} + 12 \, \text{g} = 35 \, \text{g}
    • Total mass of products: 40g+1g=41g40 \, \text{g} + 1 \, \text{g} = 41 \, \text{g}
    • Not conserved, because 35g41g35 \, \text{g} \neq 41 \, \text{g}.
  4. 10 g H₂ + 46 g N₂ → 56 g NH₃

    • Total mass of reactants: 10g+46g=56g10 \, \text{g} + 46 \, \text{g} = 56 \, \text{g}
    • Total mass of products: 56g56 \, \text{g}
    • Conserved, because 56g=56g56 \, \text{g} = 56 \, \text{g}.

Thus, the reaction 10 g H₂ + 46 g N₂ → 56 g NH₃ demonstrates the Law of Conservation of Mass.

Would you like more details or have any questions?

Here are some related questions:

  1. How can the Law of Conservation of Mass be violated in a chemical reaction?
  2. What are some common types of reactions where mass appears to change?
  3. How does the Law of Conservation of Mass apply in open systems?
  4. How do scientists measure mass changes in real-life chemical reactions?
  5. How does the Law of Conservation of Mass relate to energy conservation in reactions?

Tip: When calculating mass, always ensure all reactants and products are accounted for, including gases.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Mass Balance
Law of Conservation of Mass
Chemical Reactions

Formulas

Total mass of reactants = Total mass of products

Theorems

Law of Conservation of Mass

Suitable Grade Level

Grades 8-10