Part A Calculate the enthalpy of the reaction 2NO(g) + O2(g)→2NO2(g) given the following reactions and enthalpies of formation: 1. N2(g) + O2(g)→NO2(g), AH¡ = 33.2 kJ 2. N2(g)+ O2(g)→NO(g), AH= 90.2 kJ Express your answer with the appropriate units. • View Available Hint(s) ? Value kJ AH° =

Principles of Modern Chemistry
8th Edition
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Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter12: Thermodynamic Processes And Thermochemistry
Section: Chapter Questions
Problem 88CP
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### Understanding Hess's Law

Hess's law states that "the heat released or absorbed in a chemical process is the same whether the process takes place in one or in several steps." This principle is fundamental in thermochemistry and requires an understanding of the following rules:

1. **Addition of Reactions**: When two reactions are combined, their enthalpy values are also added together.
   
2. **Reversing Reactions**: If a reaction is reversed, the sign of its enthalpy value must be changed.

3. **Multiplying Reactions**: If the coefficients in a reaction are multiplied by a factor, the enthalpy value is also multiplied by that same factor.

### Example Problem

**Part A: Calculating the Enthalpy of Reaction**

Given the target reaction:

\[
2 \text{NO(g)} + \text{O}_2\text{(g)} \rightarrow 2 \text{NO}_2\text{(g)}
\]

And the following reactions with their enthalpies of formation:

1. \(\frac{1}{2} \text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow \text{NO}_2\text{(g)}, \quad \Delta H^\circ_A = 33.2 \text{ kJ}\)
2. \(\frac{1}{2} \text{N}_2\text{(g)} + \frac{1}{2} \text{O}_2\text{(g)} \rightarrow \text{NO(g)}, \quad \Delta H^\circ_B = 90.2 \text{ kJ}\)

**Task**: Express your answer with the appropriate units using the principles of Hess's law to find the enthalpy change for the target reaction.

**Input Box**: The enthalpy change (\(\Delta H^\circ\)) response area is provided in kilojoules (kJ) to submit your calculated answer.

**Visualization**: This section helps in understanding the step-by-step application of Hess's law to deduce the desired enthalpy change. The interactive hints can guide you through the calculation process.
Transcribed Image Text:### Understanding Hess's Law Hess's law states that "the heat released or absorbed in a chemical process is the same whether the process takes place in one or in several steps." This principle is fundamental in thermochemistry and requires an understanding of the following rules: 1. **Addition of Reactions**: When two reactions are combined, their enthalpy values are also added together. 2. **Reversing Reactions**: If a reaction is reversed, the sign of its enthalpy value must be changed. 3. **Multiplying Reactions**: If the coefficients in a reaction are multiplied by a factor, the enthalpy value is also multiplied by that same factor. ### Example Problem **Part A: Calculating the Enthalpy of Reaction** Given the target reaction: \[ 2 \text{NO(g)} + \text{O}_2\text{(g)} \rightarrow 2 \text{NO}_2\text{(g)} \] And the following reactions with their enthalpies of formation: 1. \(\frac{1}{2} \text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow \text{NO}_2\text{(g)}, \quad \Delta H^\circ_A = 33.2 \text{ kJ}\) 2. \(\frac{1}{2} \text{N}_2\text{(g)} + \frac{1}{2} \text{O}_2\text{(g)} \rightarrow \text{NO(g)}, \quad \Delta H^\circ_B = 90.2 \text{ kJ}\) **Task**: Express your answer with the appropriate units using the principles of Hess's law to find the enthalpy change for the target reaction. **Input Box**: The enthalpy change (\(\Delta H^\circ\)) response area is provided in kilojoules (kJ) to submit your calculated answer. **Visualization**: This section helps in understanding the step-by-step application of Hess's law to deduce the desired enthalpy change. The interactive hints can guide you through the calculation process.
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