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{"embedding_dim": 1024, "data": [{"__id__": "chunk-f77d33d8abf6748445c076e3e4c9b1e8", "__created_at__": 1751960158, "content": "氧化铁和硝酸的反应方程式1\n\n氧化铁和硝酸的反应方程式 2\n\n氢气与氧气燃烧的方程式", "full_doc_id": "doc-f77d33d8abf6748445c076e3e4c9b1e8", "file_path": "化学方程式_CHEMISTRY_1.docx"}, {"__id__": "chunk-d50f1a8dad9b33fc2a6c7c3359220e5a", "__created_at__": 1751960258, "content": "Mathematical Equation Analysis:\nEquation: $$\nF e O + 4 H N O _ { 3 } { \\stackrel { \\Delta } { = } } F e \\left( N O _ { 3 } \\right) _ { 3 } + 2 H _ { 2 } \\uparrow + N O _ { 2 } \\uparrow\n$$\nFormat: latex\n\nMathematical Analysis: The given equation represents a chemical reaction between iron(II) oxide (FeO) and nitric acid (HNO₃), producing iron(III) nitrate (Fe(NO₃)₃), hydrogen gas (H₂), and nitrogen dioxide gas (NO₂). Here is a detailed analysis:\n\n1. **Mathematical Meaning and Interpretation**: The equation is balanced, showing the stoichiometric relationship between reactants and products. The coefficients indicate the molar ratios: 1 mole of FeO reacts with 4 moles of HNO₃ to produce 1 mole of Fe(NO₃)₃, 2 moles of H₂, and 1 mole of NO₂.\n\n2. **Variables and Definitions**: \n - FeO: Iron(II) oxide, a reactant.\n - HNO₃: Nitric acid, another reactant.\n - Fe(NO₃)₃: Iron(III) nitrate, a product.\n - H₂: Hydrogen gas, a product (indicated by the upward arrow, ↑, denoting gas evolution).\n - NO₂: Nitrogen dioxide gas, another product (also indicated by ↑).\n - Δ: Represents the application of heat to drive the reaction.\n\n3. **Mathematical Operations and Functions**: The equation uses chemical notation to represent reactants and products, with coefficients for balancing. The '↑' symbol denotes gaseous products, and 'Δ' signifies heat as a reaction condition.\n\n4. **Application Domain and Context**: This is a redox (reduction-oxidation) reaction in inorganic chemistry. The surrounding context includes other chemical equations (e.g., hydrogen combustion), suggesting a focus on reaction types (acid-base, redox, combustion).\n\n5. **Physical or Theoretical Significance**: The reaction demonstrates:\n - Oxidation of Fe²⁺ to Fe³⁺.\n - Reduction of HNO₃ to NO₂ (nitrogen changes oxidation state from +5 to +4).\n - Gas evolution (H₂ and NO₂), which is practically observable.\n\n6. **Relationship to Other Concepts**: This is an example of an acid-metal oxide reaction, contrasting with the combustion reaction (H₂ + O₂) mentioned in the context. Both are types of redox reactions but differ in reactants and products.\n\n7. **Practical Applications**: Such reactions are used in:\n - Laboratory synthesis of iron(III) compounds.\n - Industrial processes involving nitric acid and metal oxides.\n - Environmental chemistry (NO₂ is a pollutant).\n\n8. **Broader Discussion**: The equation fits into a framework of classifying and balancing chemical reactions, highlighting stoichiometry, gas laws, and redox chemistry.", "full_doc_id": "chunk-d50f1a8dad9b33fc2a6c7c3359220e5a", "file_path": "化学方程式_CHEMISTRY_1.docx"}, {"__id__": "chunk-1b444c5f7dfe95b7dde27447f21214b5", "__created_at__": 1751960408, "content": "Mathematical Equation Analysis:\nEquation: $$\nF e O + 4 H N O _ { 3 } \\underline { { \\Delta } } F e ( N O _ { 3 } ) _ { 3 } + 2 H _ { 2 } \\uparrow + N O _ { 2 }\n$$\nFormat: latex\n\nMathematical Analysis: The given equation represents a chemical reaction between iron(II) oxide (FeO) and nitric acid (HNO), producing iron(III) nitrate (Fe(NO)), hydrogen gas (H), and nitrogen dioxide (NO). Here is a detailed analysis:\n\n1. **Mathematical Meaning and Interpretation**: The equation is a balanced chemical reaction where reactants (FeO and HNO) transform into products (Fe(NO), H, and NO). The coefficients (1, 4, 1, 2, 1) ensure mass and charge conservation.\n\n2. **Variables and Definitions**: \n - FeO: Iron(II) oxide, a reactant.\n - HNO: Nitric acid, another re