### Thermochemical Equations Task#### Consider the following thermochemical equations:1. **\[ \text{C(graphite)} + \text{O}_2 \, (g) \rightarrow \text{CO}_2 \, (g) \]** - \(\Delta H^\circ_{\text{rxn}} = -393.5 \, \text{kJ}\)2. **\[ \text{H}_2 \, (g) + \frac{1}{2} \text{O}_2 \, (g) \rightarrow \text{H}_2\text{O} \, (l) \]** - \(\Delta H^\circ_{\text{rxn}} = -285.8 \, \text{kJ}\)3. **\[ 2 \text{C}_2\text{H}_6 \, (g) + 7 \text{O}_2 \, (g) \rightarrow 4 \text{CO}_2 \, (g) + 6 \text{H}_2\text{O} \, (l) \]** - \(\Delta H^\circ_{\text{rxn}} = -3119.6 \, \text{kJ}\)#### Tasks:**a. Derive the thermochemical equation describing the combustion of two moles of C(graphite).****b. Derive the thermochemical equation describing the combustion of three moles of H\(_2 \) (g).****c. Derive the thermochemical equation describing the synthesis of one mole of C\(_2\)H\(_6(g)\) from carbon dioxide and water.****d. Use Hess’s Law and the three thermochemical equations you derived in parts a-c to determine the \(\Delta H^\circ_{\text{rxn}}\) for the following reaction:**\[ 2 \text{C (graphite)} + 3 \text{H}_2 \, (g) \rightarrow \text{C}_2\text{H}_6 \, (g) \]### ExplanationThis exercise involves manipulating and combining standard thermochemical equations to calculate the enthalpy change for a complex reaction using Hess’s Law. Each part requires deriving or rearranging equations to fit the specified conditions and calculating using given \(\Delta H^\circ_{\text{rxn}}\) values

Combustion is defined as the process in which addition of oxygen takes place.

2. Consider the following thermochemical equations: C(graphite) + 0, (g) → co; (g) AH = -393.5 kJ H2 (g) + % O; (g) → H,O (/) AH = -285.8 kJ 2 C:HG (g) + 7 02 (g) → 4 CO2 (g) + 6 H20 (1) AH°n = -3119.6 kJ a. Derive the thermochemical equation describing the combustion of two moles of C(graphite). b. Derive the thermochemical equation describing the combustion of three moles of H2 (g).

2. Consider the following thermochemical equations: C(graphite) + 0, (g) → co; (g) AH = -393.5 kJ H2 (g) + % O; (g) → H,O (/) AH = -285.8 kJ 2 C:HG (g) + 7 02 (g) → 4 CO2 (g) + 6 H20 (1) AH°n = -3119.6 kJ a. Derive the thermochemical equation describing the combustion of two moles of C(graphite). b. Derive the thermochemical equation describing the combustion of three moles of H2 (g).

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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