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Chemistry
Posted 12 months ago
FeO+CO=Fe+CO2CO2+C=2CO
\begin{array}{l}
\mathrm{FeO}+\mathrm{CO}=\mathrm{Fe}+\mathrm{CO}_{2} \\
\mathrm{CO}_{2}+\mathrm{C}=2 \mathrm{CO}
\end{array}


Under 1 atm total pressure of CO2+CO\mathrm{CO}_{2}+\mathrm{CO} answer the given questions:
a) For the reaction (i), calculate the "heat of reaction"( by using Van't Hoff equation) and equilibrium constants (Kp)(K p) at given temperatures (415,625(415,625, 835,1045835,1045 and 1255 K)1255 \mathrm{~K}).
b) Using the Bouduard reaction (ii), for each temperature, calculate the equilibrium gas composition. Plot temperature versus %CO\% \mathrm{CO}.
c) For the reaction (i), calculate equilibrium gas composition for each temperature. Plot temperature versus %CO\% \mathrm{CO}.
d) Using / overlapping the plotted graphs, explain the reduction behavior of FeO\mathrm{FeO} with CO\mathrm{CO}.
Fe+1/2O2=FeOC+O2=CO2C+1/2O2=CO
\begin{array}{l}
\mathrm{Fe}+1 / 2 \mathrm{O}_{2}=\mathrm{FeO} \\
\mathrm{C}+\mathrm{O}_{2}=\mathrm{CO}_{2} \\
\mathrm{C}+1 / 2 \mathrm{O}_{2}=\mathrm{CO}
\end{array}

ΔGT=263700+64,35 TΔGT=3941000,84 TΔGT=11170087,65 T
\begin{array}{l}
\Delta G^{\circ} \mathrm{T}=-263700+64,35 \mathrm{~T} \\
\Delta \mathrm{G}^{\circ} \mathrm{T}=-394100-0,84 \mathrm{~T} \\
\Delta \mathrm{G}^{\circ} \mathrm{T}=-111700-87,65 \mathrm{~T}
\end{array}
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Answer from Sia
Posted 12 months ago
Solution
1
Calculate the standard Gibbs free energy change for reaction (i): Use the given ΔGT\Delta G^\circ T values for the formation of FeO\mathrm{FeO}, CO2\mathrm{CO_2}, and CO\mathrm{CO} to find the ΔG\Delta G^\circ for the reaction FeO+CO=Fe+CO2\mathrm{FeO} + \mathrm{CO} = \mathrm{Fe} + \mathrm{CO_2}
2
Use Van't Hoff equation: The Van't Hoff equation relates the equilibrium constant KpK_p to the standard Gibbs free energy change ΔG\Delta G^\circ by ΔG=RTlnKp\Delta G^\circ = -RT \ln K_p, where RR is the gas constant and TT is the temperature in Kelvin
3
Calculate $K_p$ for each temperature: Rearrange the Van't Hoff equation to solve for KpK_p at each given temperature
4
Calculate the heat of reaction: The heat of reaction at constant pressure, or enthalpy change ΔH\Delta H, can be estimated from the temperature dependence of KpK_p using the Van't Hoff isochore, which relates lnKp\ln K_p to 1/T1/T
Answer
The equilibrium constants KpK_p and the heat of reaction for each temperature will be calculated based on the Van't Hoff equation and the Gibbs free energy changes.
Key Concept
Van't Hoff equation and Gibbs free energy
Explanation
The Van't Hoff equation relates the equilibrium constant of a reaction to the temperature and the standard Gibbs free energy change.
Solution
1
Use the Boudouard reaction (ii): Write the expression for the equilibrium constant KpK_p for the Boudouard reaction CO2+C=2CO\mathrm{CO_2} + \mathrm{C} = 2 \mathrm{CO}
2
Calculate $K_p$ for each temperature: Use the standard Gibbs free energy change for the Boudouard reaction to calculate KpK_p at each given temperature
3
Determine the equilibrium gas composition: Use the calculated KpK_p values to find the equilibrium composition of CO\mathrm{CO} and CO2\mathrm{CO_2} at each temperature
4
Plot temperature versus $\% \mathrm{CO}$: Create a graph with temperature on the x-axis and the percentage of CO\mathrm{CO} in the equilibrium gas mixture on the y-axis
Answer
The equilibrium gas composition for the Boudouard reaction and the corresponding plot of temperature versus %CO\% \mathrm{CO} will be provided.
Key Concept
Equilibrium constant and gas composition
Explanation
The equilibrium constant of a reaction determines the composition of the products and reactants at equilibrium.
Solution
1
Use reaction (i): Write the expression for the equilibrium constant KpK_p for the reaction FeO+CO=Fe+CO2\mathrm{FeO} + \mathrm{CO} = \mathrm{Fe} + \mathrm{CO_2}
2
Calculate the equilibrium gas composition: Use the previously calculated KpK_p values to find the equilibrium composition of CO\mathrm{CO} and CO2\mathrm{CO_2} for reaction (i) at each temperature
3
Plot temperature versus $\% \mathrm{CO}$: Create a graph with temperature on the x-axis and the percentage of CO\mathrm{CO} in the equilibrium gas mixture for reaction (i) on the y-axis
Answer
The equilibrium gas composition for reaction (i) and the corresponding plot of temperature versus %CO\% \mathrm{CO} will be provided.
Key Concept
Equilibrium constant and gas composition for reaction (i)
Explanation
The equilibrium constant of reaction (i) determines the composition of CO\mathrm{CO} and CO2\mathrm{CO_2} at equilibrium.
Solution
1
Analyze the plotted graphs: Compare the plots of temperature versus %CO\% \mathrm{CO} for both the Boudouard reaction and reaction (i)
2
Explain the reduction behavior: Discuss how the equilibrium compositions of CO\mathrm{CO} and CO2\mathrm{CO_2} influence the reduction of FeO\mathrm{FeO} by CO\mathrm{CO} at different temperatures
Answer
The reduction behavior of FeO\mathrm{FeO} with CO\mathrm{CO} will be explained by analyzing the plotted graphs of temperature versus %CO\% \mathrm{CO} for both reactions.
Key Concept
Influence of equilibrium compositions on reduction behavior
Explanation
The equilibrium compositions of CO\mathrm{CO} and CO2\mathrm{CO_2} determine the efficiency of the reduction of FeO\mathrm{FeO} by CO\mathrm{CO} at different temperatures.

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