Q1. In a vacuum chamber at $0.01 \mathrm{~atm}, 2000 \mathrm{~K}$, includes an ideal gas mixture of which mol fractions are shown in the figure.
$\mathrm{CO} 2$ dissociates $\mathrm{CO}$ and $\mathrm{O} 2$ molecules. Determine
1. The balanced reaction equation for $1 \mathrm{kmol}$ of $\mathrm{CO} 2$.
2. Heat transfer amount for this reaction, in $\mathrm{kJ} / \mathrm{kmol}-\mathrm{CO} 2$. Is the reaction endothermic or exothermic?
3. Including entropy change of the chamber, determine total entropy change of this reaction, in $(\mathrm{kJ} / \mathrm{K}) / \mathrm{kmol}-\mathrm{CO} 2$
4. Solve the problem using EES
1. atm, $2000 \mathrm{~K}$
$\mathrm{Y}_{\mathrm{N} 2}=40 \%, \mathrm{Y}_{\mathrm{CO} 2}=40 \%, \mathrm{Y}_{\mathrm{O} 2}=10 \%, \mathrm{Y}_{\mathrm{CO}}=10 \%$
$\mathrm{CO}_{2}$ à $\mathrm{CO}+1 / 2 \mathrm{O}_{2}$

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∻Solution∻ ‖ 1 ⋮ **Write the balanced reaction equation**: The given reaction is not balanced as written. To balance the reaction, we need to ensure that the number of atoms of each element is the same on both sides of the equation. ‖ ‖ 2 ⋮ **Calculate the heat transfer**: To find the heat transfer for the reaction, we would need the standard enthalpy of formation for each species involved in the reaction. The reaction's enthalpy change can be calculated using the equation $\Delta H = \sum \Delta H_{ ext{products}} - \sum \Delta H_{ ext{reactants}}$. The sign of $\Delta H$ will indicate whether the reaction is endothermic or exothermic. ‖ ‖ 3 ⋮ **Determine the total entropy change**: The total entropy change ($\Delta S_{ ext{total}}$) is the sum of the entropy change of the system ($\Delta S_{ ext{system}}$) and the entropy change of the surroundings ($\Delta S_{ ext{surroundings}}$). The entropy change of the system can be calculated using standard molar entropy values, while the entropy change of the surroundings is related to the heat transfer and the temperature: $\Delta S_{ ext{surroundings}} = -\frac{\Delta H}{T}$. ‖ ‖ 4 ⋮ **Solve using EES**: To solve the problem using Engineering Equation Solver (EES), input the balanced reaction, the enthalpy and entropy data, and the initial conditions into the software to perform the necessary calculations. ‖ ∻1 Answer∻ ⚹ CO2 -> CO + 1/2 O2 (Balanced equation: 2 CO2 -> 2 CO + O2) ⚹ ∻2 Answer∻ ⚹ The heat transfer amount and whether the reaction is endothermic or exothermic cannot be determined without the standard enthalpy of formation values. ⚹ ∻3 Answer∻ ⚹ The total entropy change of the reaction cannot be determined without the standard molar entropy values and the enthalpy change. ⚹ ∻4 Answer∻ ⚹ Use EES to input data and calculate the required values. ⚹ ∻Key Concept∻ ⚹ Balancing chemical equations is crucial for stoichiometric calculations and determining the changes in enthalpy and entropy for a reaction. ⚹ ∻Explanation∻ ⚹ A balanced chemical equation ensures the law of conservation of mass is satisfied, which is necessary for accurate thermodynamic calculations. ⚹◊What is the enthalpy change for the dissociation of 1 kmol of CO2 into CO and O2 at 2000 K and 0.01 atm?⍭ Generate me a similar question◊

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