Exam 17: Equilibrium: the Extent of Chemical Reactions

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In water, the following equilibrium exists: H+(aq) + OH-(aq) In water, the following equilibrium exists: H<sup>+</sup>(aq) + OH<sup>-</sup>(aq)   <sub> </sub> H<sub>2</sub>O(l) In pure water at 25 °C, the concentration of H<sup>+</sup> ions is 1.00 × 10<sup>-7</sup> mol/L. Calculate the value of the equilibrium constant for the reaction as written above. H2O(l) In pure water at 25 °C, the concentration of H+ ions is 1.00 × 10-7 mol/L. Calculate the value of the equilibrium constant for the reaction as written above.

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Although a system may be at equilibrium, the rate constants of the forward and reverse reactions will in general be different.

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A chemical reaction will reach equilibrium when the limiting reactant is used up.

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At a high temperature, the following reaction has an equilibrium constant of 1.0 × 102. H2(g) + F2(g) At a high temperature, the following reaction has an equilibrium constant of 1.0 × 10<sup>2</sup>. H<sub>2</sub>(g) + F<sub>2</sub>(g)   2HF(g) If 1.00 mol of each of H<sub>2</sub> and F<sub>2</sub> are allowed to come to equilibrium in a 10.0 L vessel, calculate the equilibrium amounts of H<sub>2</sub> and HF. 2HF(g) If 1.00 mol of each of H2 and F2 are allowed to come to equilibrium in a 10.0 L vessel, calculate the equilibrium amounts of H2 and HF.

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Consider the reversible reaction: 2NO2(g) Consider the reversible reaction: 2NO<sub>2</sub>(g)   N<sub>2</sub>O<sub>4</sub>(g) If the concentrations of both NO<sub>2 </sub>and N<sub>2</sub>O<sub>4</sub> are 0.016 mol L<sup>-1</sup>, what is the value of Q<sub>c</sub>? N2O4(g) If the concentrations of both NO2 and N2O4 are 0.016 mol L-1, what is the value of Qc?

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Write the mass-action expression, Qc , for the following chemical reaction. 3ClO2-(aq) Write the mass-action expression, Q<sub>c </sub>, for the following chemical reaction. 3ClO<sub>2</sub><sup>-</sup>(aq)   2ClO<sub>3</sub><sup>-</sup>(aq) + Cl<sup>-</sup>(aq) 2ClO3-(aq) + Cl-(aq)

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Unless rxn = 0, a change in temperature will affect the value of the equilibrium constant Kc.

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Consider the equilibrium H2(g) + Br2(g) Consider the equilibrium H<sub>2</sub>(g) + Br<sub>2</sub>(g)   2HBr(g) To a 20.0 L flask are added 0.100 moles of H<sub>2</sub> and 0.200 moles of HBr. The equilibrium constant for this reaction is 989. Calculate the number of moles of Br<sub>2</sub> in the flask when equilibrium is established. Make any reasonable approximation, clearly stating what that approximation is. 2HBr(g) To a 20.0 L flask are added 0.100 moles of H2 and 0.200 moles of HBr. The equilibrium constant for this reaction is 989. Calculate the number of moles of Br2 in the flask when equilibrium is established. Make any reasonable approximation, clearly stating what that approximation is.

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About half of the sodium carbonate produced is used in making glass products because it lowers the melting point of sand, the major component of glass. When sodium carbonate is added to water it hydrolyses according to the following reactions. CO32-(aq) + H2O(l) About half of the sodium carbonate produced is used in making glass products because it lowers the melting point of sand, the major component of glass. When sodium carbonate is added to water it hydrolyses according to the following reactions. CO<sub>3</sub><sup>2-</sup>(aq) + H<sub>2</sub>O(l)   HCO<sub>3</sub><sup>-</sup>(aq) + OH<sup>-</sup>(aq) K<sub>1</sub> <sub> </sub>HCO<sub>3</sub><sup>-</sup>(aq) + H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + OH<sup>-</sup>(aq) K<sub>2</sub> These can be combined to yield CO<sub>3</sub><sup>2-</sup>(aq) + 2H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + 2OH<sup>-</sup>(aq) K<sub>3</sub> What is the value of K<sub>3</sub>? HCO3-(aq) + OH-(aq) K1 HCO3-(aq) + H2O(l) About half of the sodium carbonate produced is used in making glass products because it lowers the melting point of sand, the major component of glass. When sodium carbonate is added to water it hydrolyses according to the following reactions. CO<sub>3</sub><sup>2-</sup>(aq) + H<sub>2</sub>O(l)   HCO<sub>3</sub><sup>-</sup>(aq) + OH<sup>-</sup>(aq) K<sub>1</sub> <sub> </sub>HCO<sub>3</sub><sup>-</sup>(aq) + H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + OH<sup>-</sup>(aq) K<sub>2</sub> These can be combined to yield CO<sub>3</sub><sup>2-</sup>(aq) + 2H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + 2OH<sup>-</sup>(aq) K<sub>3</sub> What is the value of K<sub>3</sub>? H2CO3(aq) + OH-(aq) K2 These can be combined to yield CO32-(aq) + 2H2O(l) About half of the sodium carbonate produced is used in making glass products because it lowers the melting point of sand, the major component of glass. When sodium carbonate is added to water it hydrolyses according to the following reactions. CO<sub>3</sub><sup>2-</sup>(aq) + H<sub>2</sub>O(l)   HCO<sub>3</sub><sup>-</sup>(aq) + OH<sup>-</sup>(aq) K<sub>1</sub> <sub> </sub>HCO<sub>3</sub><sup>-</sup>(aq) + H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + OH<sup>-</sup>(aq) K<sub>2</sub> These can be combined to yield CO<sub>3</sub><sup>2-</sup>(aq) + 2H<sub>2</sub>O(l)   H<sub>2</sub>CO<sub>3</sub>(aq) + 2OH<sup>-</sup>(aq) K<sub>3</sub> What is the value of K<sub>3</sub>? H2CO3(aq) + 2OH-(aq) K3 What is the value of K3?

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At 850°C, the equilibrium constant Kp for the reaction C(s) + CO2(g) At 850°C, the equilibrium constant K<sub>p</sub> for the reaction C(s) + CO<sub>2</sub>(g)   2CO(g) Has a value of 10.7. If the total pressure in the system at equilibrium is 1.000 atm, what is the partial pressure of carbon monoxide? 2CO(g) Has a value of 10.7. If the total pressure in the system at equilibrium is 1.000 atm, what is the partial pressure of carbon monoxide?

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When a reaction system reaches equilibrium, the forward and reverse reactions stop.

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Consider the following two equilibria and their respective equilibrium constants: (1) NO(g) + Consider the following two equilibria and their respective equilibrium constants: (1) NO(g) +   O<sub>2</sub>(g)   NO<sub>2</sub>(g) (2) 2NO<sub>2</sub>(g)   2NO(g) + O<sub>2</sub>(g) Which one of the following is the correct relationship between the equilibrium constants K<sub>1</sub> and K<sub>2</sub>? O2(g) Consider the following two equilibria and their respective equilibrium constants: (1) NO(g) +   O<sub>2</sub>(g)   NO<sub>2</sub>(g) (2) 2NO<sub>2</sub>(g)   2NO(g) + O<sub>2</sub>(g) Which one of the following is the correct relationship between the equilibrium constants K<sub>1</sub> and K<sub>2</sub>? NO2(g) (2) 2NO2(g) Consider the following two equilibria and their respective equilibrium constants: (1) NO(g) +   O<sub>2</sub>(g)   NO<sub>2</sub>(g) (2) 2NO<sub>2</sub>(g)   2NO(g) + O<sub>2</sub>(g) Which one of the following is the correct relationship between the equilibrium constants K<sub>1</sub> and K<sub>2</sub>? 2NO(g) + O2(g) Which one of the following is the correct relationship between the equilibrium constants K1 and K2?

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Methanol can be synthesized by combining carbon monoxide and hydrogen. CO(g) + 2H2(g) Methanol can be synthesized by combining carbon monoxide and hydrogen. CO(g) + 2H<sub>2</sub>(g)   CH<sub>3</sub>OH(g) A reaction vessel contains the three gases at equilibrium with a total pressure of 1.00 atm. What will happen to the partial pressure of hydrogen if enough argon is added to raise the total pressure to 1.4 atm? CH3OH(g) A reaction vessel contains the three gases at equilibrium with a total pressure of 1.00 atm. What will happen to the partial pressure of hydrogen if enough argon is added to raise the total pressure to 1.4 atm?

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Hydrogen bromide will dissociate into hydrogen and bromine gases. 2HBr(g) Hydrogen bromide will dissociate into hydrogen and bromine gases. 2HBr(g)   H<sub>2</sub>(g) + Br<sub>2</sub>(g) <font face=symbol></font>H°<sub>rxn</sub> = 68 kJ What effect will a temperature increase of 50°C have on this system at equilibrium? H2(g) + Br2(g) rxn = 68 kJ What effect will a temperature increase of 50°C have on this system at equilibrium?

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Write the mass-action expression, Qc , for the following chemical reaction. Fe3+(aq) + 3OH-(aq) Write the mass-action expression, Q<sub>c </sub>, for the following chemical reaction. Fe<sup>3+</sup>(aq) + 3OH<sup>-</sup>(aq)   Fe(OH)<sub>3</sub>(s) Fe(OH)3(s)

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For some gas-phase reactions, Kp = Kc.

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Increasing the initial amount of the limiting reactant in a reaction will increase the value of the equilibrium constant, Kc.

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The following reaction is at equilibrium in a closed container. CuSO4.5H2O(s) The following reaction is at equilibrium in a closed container. CuSO<sub>4</sub>.5H<sub>2</sub>O(s)   CuSO<sub>4</sub>(s)<sub> </sub> + 5H<sub>2</sub>O(g) Which, if any, of the following actions will lead to an increase in the pressure of H<sub>2</sub>O present at equilibrium? CuSO4(s) + 5H2O(g) Which, if any, of the following actions will lead to an increase in the pressure of H2O present at equilibrium?

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If all the reactants and products in an equilibrium reaction are in the gas phase, then Kp = Kc.

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The two equilibrium constants for the same reaction, Kc and Kp, will always equal one another when

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