Consider the reaction 2NOcg)t02(g)-2NO2C9). alusing data from append ik C, Calculate AG°at 298 K b) calculate AGat 298 Kif the partial pressure ot allgases are 33.4K Pa NOCAHE 's 90.37)(5°"s 210.62)(Ge is 86.71) NO2(AH6's 33.84)(s°ig 240.45)(BG's is 51.84) O2 (AHi is 0)(S"is 205.0) (AGiEs 0)

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### Thermodynamics Problem: Calculating ΔG° at 298 K for a Chemical Reaction

**Problem Statement:**
Consider the reaction:
\[ 2 \text{NO(g)} + \text{O}_2(\text{g}) \rightarrow 2 \text{NO}_2(\text{g}) \]

a) Using data from Appendix C, calculate ΔG° at 298 K.
b) Calculate ΔG at 298 K if the partial pressure of all gases is 33.4 kPa.

**Thermodynamic Data from Appendix C:**

- **NO(g):** 
  - \( \Delta H^\circ_f \) = 90.37 kJ/mol
  - \( S^\circ \) = 210.62 J/(mol·K)
  - \( \Delta G^\circ_f \) = 86.71 kJ/mol

- **NO₂(g):**
  - \( \Delta H^\circ_f \) = 33.84 kJ/mol
  - \( S^\circ \) = 240.45 J/(mol·K)
  - \( \Delta G^\circ_f \) = 51.84 kJ/mol

- **O₂(g):**
  - \( \Delta H^\circ_f \) = 0 kJ/mol
  - \( S^\circ \) = 205.0 J/(mol·K)
  - \( \Delta G^\circ_f \) = 0 kJ/mol

**Instructions:**
1. Use the provided thermodynamic values to calculate the standard Gibbs free energy change (ΔG°) for the reaction at 298 K using the following formula:
   
   \[ \Delta G^\circ = \sum (\Delta G^\circ_f \text{ of products}) - \sum (\Delta G^\circ_f \text{ of reactants}) \]

2. Adjust for non-standard conditions using the appropriate thermodynamic equations if necessary.

_Remember to account for stoichiometry and units when performing calculations._
Transcribed Image Text:### Thermodynamics Problem: Calculating ΔG° at 298 K for a Chemical Reaction **Problem Statement:** Consider the reaction: \[ 2 \text{NO(g)} + \text{O}_2(\text{g}) \rightarrow 2 \text{NO}_2(\text{g}) \] a) Using data from Appendix C, calculate ΔG° at 298 K. b) Calculate ΔG at 298 K if the partial pressure of all gases is 33.4 kPa. **Thermodynamic Data from Appendix C:** - **NO(g):** - \( \Delta H^\circ_f \) = 90.37 kJ/mol - \( S^\circ \) = 210.62 J/(mol·K) - \( \Delta G^\circ_f \) = 86.71 kJ/mol - **NO₂(g):** - \( \Delta H^\circ_f \) = 33.84 kJ/mol - \( S^\circ \) = 240.45 J/(mol·K) - \( \Delta G^\circ_f \) = 51.84 kJ/mol - **O₂(g):** - \( \Delta H^\circ_f \) = 0 kJ/mol - \( S^\circ \) = 205.0 J/(mol·K) - \( \Delta G^\circ_f \) = 0 kJ/mol **Instructions:** 1. Use the provided thermodynamic values to calculate the standard Gibbs free energy change (ΔG°) for the reaction at 298 K using the following formula: \[ \Delta G^\circ = \sum (\Delta G^\circ_f \text{ of products}) - \sum (\Delta G^\circ_f \text{ of reactants}) \] 2. Adjust for non-standard conditions using the appropriate thermodynamic equations if necessary. _Remember to account for stoichiometry and units when performing calculations._
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