Math Problem Statement

find the second one

Find the second reaction enthalpy change calculation in the provided chemical problem.

Solution

The image contains a chemical reaction and thermodynamic calculations involving enthalpy changes (ΔH\Delta H) for bond dissociation energies. The second part seems to refer to the subsequent reaction below the first calculation.

Second Reaction Analysis

The reaction is: NHγ(g)+NOγ(g)+HγO(g)N2(g)+H2O(g)\text{NH}_\gamma(g) + \text{NO}_\gamma(g) + \text{H}_\gamma O(g) \rightarrow \text{N}_2(g) + \text{H}_2 O(g)

  1. The bond dissociation energies for N=ON=O and NHN-H are mentioned at the bottom:

    • N=O=601kJ/molN=O = 601 \, \text{kJ/mol}
    • NH=407kJ/molN-H = 407 \, \text{kJ/mol}
  2. Enthalpy Calculation (ΔH\Delta H): The enthalpy change is calculated using bond energies: [ \Delta H = \left[\text{Bonds broken}\right] - \left[\text{Bonds formed}\right] ]

    • Bonds broken:

      • 1×NH=407kJ/mol1 \times N-H = 407 \, \text{kJ/mol}
      • 1×N=O=601kJ/mol1 \times N=O = 601 \, \text{kJ/mol}
    • Total: 407+601=1008kJ/mol407 + 601 = 1008 \, \text{kJ/mol}

    • Bonds formed:

      • 1×NN1 \times N\equiv N (triple bond) = 944kJ/mol944 \, \text{kJ/mol}
      • 1×OH=463kJ/mol1 \times O-H = 463 \, \text{kJ/mol}
    • Total: 944+463=1407kJ/mol944 + 463 = 1407 \, \text{kJ/mol}

    ΔH=10081407=399kJ/mol\Delta H = 1008 - 1407 = -399 \, \text{kJ/mol}

Thus, the enthalpy change for the second reaction is 399kJ/mol-399 \, \text{kJ/mol}.


Do you want further details or clarifications?

Here are five related questions to deepen your understanding:

  1. What is the significance of negative ΔH\Delta H in chemical reactions?
  2. How are bond dissociation energies experimentally determined?
  3. Why is the triple bond NNN\equiv N more stable than single or double bonds?
  4. Can you explain how bond energy values are used to predict reaction spontaneity?
  5. What are the applications of enthalpy calculations in industrial chemistry?

Tip: Always check the bond types and their corresponding energies carefully to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Thermodynamics
Bond Dissociation Energy
Enthalpy Change

Formulas

ΔH = Σ(Bond Energies of Bonds Broken) - Σ(Bond Energies of Bonds Formed)

Theorems

First Law of Thermodynamics

Suitable Grade Level

Undergraduate Chemistry (Thermodynamics)