**Educational Content on Free Energy Change Calculation**### Thermodynamic Calculation of Free Energy Change for a Given Reaction#### Reaction Details:Consider the reaction:\[2 \, \text{C}_2\text{H}_6(g) + 7 \, \text{O}_2(g) \rightarrow 4 \, \text{CO}_2(g) + 6 \, \text{H}_2\text{O}(g)\]#### Objective:Using standard thermodynamic data at 298K, calculate the free energy change (ΔG°) when 1.94 moles of C₂H₆(g) react under standard conditions.\[ \Delta G^\circ_{\text{rxn}} = \, \boxed{} \, \text{kJ} \]#### Explanation:ΔG° (Delta G naught) represents the standard free energy change for a reaction, typically measured in kilojoules (kJ). It is a useful thermodynamic quantity that helps predict the spontaneity of reactions at standard temperature and pressure (298K and 1 atm). The balanced chemical equation given indicates the stoichiometric quantities of reactants and products involved in the reaction. By using appropriate thermodynamic data such as standard Gibbs free energies of formation (ΔG⁰_f) for each reactant and product, one can determine ΔG° for the entire reaction using the following relationship:\[ \Delta G^\circ_{\text{rxn}} = \sum (\Delta G^\circ_f \, \text{of products}) - \sum (\Delta G^\circ_f \, \text{of reactants}) \]### Detailed Steps:1. Obtain standard Gibbs free energies of formation (ΔG⁰_f) for \( \text{C}_2\text{H}_6(g) \), \( \text{O}_2(g) \), \( \text{CO}_2(g) \), and \( \text{H}_2\text{O}(g) \) from standard thermodynamic tables.2. Apply the stoichiometric coefficients from the balanced equation.3. Perform the calculation to find the standard free energy change (ΔG°) for this reaction at 298K.4. Adjust the ΔG° value for the given amount of C₂H₆(g) (1.94 moles).This kind of calculation helps in understanding the energy aspects of

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Consider the reaction: 2C,H6(g) + 702(g)4CO2(g) + 6H,0(g) Using standard thermodynamic data at 298K, calculate the free energy change when 1.94 moles of C,H,(g) react at standard conditions. AG rxn kJ

Consider the reaction: 2C,H6(g) + 702(g)4CO2(g) + 6H,0(g) Using standard thermodynamic data at 298K, calculate the free energy change when 1.94 moles of C,H,(g) react at standard conditions. AG rxn kJ

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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