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Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium
Chapter 18, Problem 105

Consider the conversion of 1,2-dichloroethane to vinyl chloride, the starting material for manufacturing poly(vinyl chloride) (PVC) plastics: Is this reaction spontaneous under standard-state conditions? Would it help to carry out the reaction in the presence of base to remove HCl? Explain. Is it possible to synthesize vinyl chlo-ride from graphite, gaseous H2, and gaseous Cl2 at 25 °C and 1 atm pressure?

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Identify the reaction: The conversion of 1,2-dichloroethane to vinyl chloride involves the elimination of HCl. The reaction can be represented as: \[ \text{C}_2\text{H}_4\text{Cl}_2 \rightarrow \text{C}_2\text{H}_3\text{Cl} + \text{HCl} \]
Determine spontaneity: To assess if the reaction is spontaneous under standard-state conditions, calculate the Gibbs free energy change (\( \Delta G^\circ \)). Use the equation \( \Delta G^\circ = \Delta H^\circ - T\Delta S^\circ \), where \( \Delta H^\circ \) is the enthalpy change and \( \Delta S^\circ \) is the entropy change.
Consider the effect of a base: Adding a base can help remove HCl as it forms, shifting the equilibrium towards the products according to Le Chatelier's principle. This can make the reaction more favorable.
Synthesize from graphite, H2, and Cl2: To synthesize vinyl chloride from graphite, gaseous H2, and Cl2, consider the overall reaction: \[ \text{C(graphite)} + \text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow \text{C}_2\text{H}_3\text{Cl} \]. Calculate the \( \Delta G^\circ \) for this reaction to determine feasibility.
Evaluate conditions: Ensure that the conditions (25 °C and 1 atm) are suitable for the reaction. Consider the thermodynamic data for each component to assess the feasibility of the synthesis under these conditions.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Spontaneity of Reactions

The spontaneity of a chemical reaction is determined by the change in Gibbs free energy (ΔG). A reaction is spontaneous under standard-state conditions if ΔG is negative, indicating that the products are more stable than the reactants. Factors such as enthalpy (ΔH) and entropy (ΔS) changes during the reaction also influence ΔG, as described by the equation ΔG = ΔH - TΔS.
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Role of Bases in Reactions

In organic reactions, bases can facilitate the removal of acidic byproducts, such as HCl in this case, which can shift the equilibrium towards product formation. By removing HCl, the reaction may proceed more favorably, potentially increasing the yield of vinyl chloride. This principle is often applied in reactions where the formation of a stable product is hindered by the presence of acidic species.
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Synthesis from Basic Reactants

The synthesis of vinyl chloride from graphite, H2, and Cl2 involves understanding the reactivity of these substances under specific conditions. At 25 °C and 1 atm, the reaction would require appropriate activation energy and conditions to proceed. The feasibility of this synthesis depends on the thermodynamics and kinetics of the reaction, including the formation of intermediates and the stability of the final product.
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Related Practice
Open Question
Use the data in Appendix B to determine which of the following compounds are thermodynamically stable with respect to their constituent elements at 25 °C. (a) C6H6(l) (b) NO(g) (c) PH3(g) (d) FeO(s)
Textbook Question
Use the values of of ∆G°f in Appendix B to calculate the stan-dard free-energy change for the synthesis of dichloroethane from ethylene and chlorine: C2H41g2 + Cl21g2S CH2ClCH2Cl1l2 Is it possible to synthesize dichloroethane from gaseous C2H4 and Cl2, each at 25 °C and 1 atm pressure?
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Textbook Question
Ethanol is manufactured in industry by the hydration of ethylene: Using the data in Appendix B, calculate ∆G° and show that this reaction is spontaneous at 25 °C. Why does this reaction become nonspontaneous at higher temperatures? Estimate the temperature at which the reaction becomes nonspontaneous.
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Open Question
What is the relationship between the free-energy change under nonstandard-state conditions, ∆G, the free-energy change under standard-state conditions, ∆G°, and the reaction quotient, Q?
Textbook Question
Compare the values of ∆G and ∆G° when: (a) Q < 1. (b) Q = 1. (c) Q > 1. Does the thermodynamic tendency for the reaction to occur increase or decrease as Q increases?
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Textbook Question
Use the data in Appendix B to calculate ∆G for the decom-position of nitrosyl chloride at 25 °C when the partial pressures are 2.00 atm of NOCl, 1.00 * 10^-3 atm of NO, and 1.00 * 10^-3 atm of Cl2: Is the reaction spontaneous in the forward or the reverse direction under these conditions?
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