Chapter 15: Problem 35
(a) How does a reaction quotient differ from an equilibrium constant? (b) If
\(Q_{c}
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Chapter 15: Problem 35
(a) How does a reaction quotient differ from an equilibrium constant? (b) If
\(Q_{c}
These are the key concepts you need to understand to accurately answer the question.
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(a) How is a reaction quotient used to determine whether a system is at equilibrium? (b) If \(Q_{c}>K_{c}\), how must the reaction proceed to reach equilibrium? (c) At the start of a certain reaction, only reactants are present; no products have been formed. What is the value of \(Q_{c}\) at this point in the reaction?
Consider the following equilibrium, for which \(\Delta H<0\) $$ 2 \mathrm{SO}_{2}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{SO}_{3}(g) $$ How will each of the following changes affect an equilibrium mixture of the three gases? (a) \(\mathrm{O}_{2}(g)\) is added to the system; (b) the reaction mixture is heated; (c) the volume of the reaction vessel is doubled; (d) a catalyst is added to the mixture; \((e)\) the total pressure of the system is increased by adding a noble gas; (f) \(\mathrm{SO}_{3}(g)\) is removed from the system.
Methanol \(\left(\mathrm{CH}_{3} \mathrm{OH}\right)\) can be made by the reaction of \(\mathrm{CO}\) with \(\mathrm{H}_{2}\) : $$ \mathrm{CO}(g)+2 \mathrm{H}_{2}(g) \rightleftharpoons \mathrm{CH}_{3} \mathrm{OH}(g) $$ (a) Use thermochemical data in Appendix \(C\) to calculate \(\Delta H^{\circ}\) for this reaction. (b) To maximize the equilibrium yield of methanol, would you use a high or low temperature? (c) To maximize the equilibrium yield of methanol, would you use a high or low pressure?
At \(900^{\circ} \mathrm{C}, K_{c}=0.0108\) for the reaction $$ \mathrm{CaCO}_{3}(s) \rightleftharpoons \mathrm{CaO}(s)+\mathrm{CO}_{2}(g) $$ A mixture of \(\mathrm{CaCO}_{3}, \mathrm{CaO}\), and \(\mathrm{CO}_{2}\) is placed in a 10.0-L vessel at \(900^{\circ} \mathrm{C}\). For the following mixtures, will the amount of \(\mathrm{CaCO}_{3}\) increase, decrease, or remain the same as the system approaches equilibrium? (a) \(15.0 \mathrm{~g} \mathrm{CaCO}_{3}, 15.0 \mathrm{~g} \mathrm{CaO}\), and \(4.25 \mathrm{~g} \mathrm{CO}_{2}\) (b) \(2.50 \mathrm{~g} \mathrm{CaCO}_{3}, 25.0 \mathrm{~g} \mathrm{CaO}\), and \(5.66 \mathrm{~g} \mathrm{CO}_{2}\) (c) \(305 \mathrm{~g} \mathrm{CaCO}_{3}, 25.5 \mathrm{~g} \mathrm{CaO}\), and \(6.48 \mathrm{~g} \mathrm{CO}_{2}\).
Polyvinyl chloride (PVC) is one of the most commercially important polymers (Table 12.5). PVC is made by addition polymerization of vinyl chloride \(\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\right)\). Vinyl chloride is synthesized from ethylene \(\left(\mathrm{C}_{2} \mathrm{H}_{4}\right)\) in a twostep process involving the following equilibria: Equilibrium 1: \(\mathrm{C}_{2} \mathrm{H}_{4}(g)+\mathrm{Cl}_{2}(g) \rightleftharpoons \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{Cl}_{2}(g)\) Equilibrium 2: \(\quad \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{Cl}_{2}(g) \rightleftharpoons \mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}(g)+\mathrm{HCl}(g)\) The product of Equilibrium 1 is 1,2 -dichloroethane, a compound in which one \(\mathrm{Cl}\) atom is bonded to each \(\mathrm{C}\) atom. (a) Draw Lewis structures for \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{Cl}_{2}\) and \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\). What are the \(\mathrm{C}-\mathrm{C}\) bond orders in these two compounds? (b) Use average bond enthalpies (Table 8.4) to estimate the enthalpy changes in the two equilibria. (c) How would the yield of \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{Cl}_{2}\) in Equilibrium 1 vary with temperature and volume? (d) How would the yield of \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\) in Equilibrium 2 vary with temperature and volume? (e) Look up the normal boiling points of 1,2 -dichloroethane and vinyl chloride in a sourcebook, such as the CRC Handbook of Chemistry and Physics. Based on these data, propose a reactor design (analogous to Figure 15.12) that could be used to maximize the amount of \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\) produced by using the two equilibria.
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