Open Question
For each of the equilibria in Problem 15.57, write the equilibrium constant expression for Kp and give the equation that relates Kp and Kc for parts (a), (b), and (c).
Ch.15 - Chemical Equilibrium
Chapter 15, Problem 72
Chlorine monoxide and dichlorine dioxide are involved in the catalytic destruction of stratospheric ozone. They are related by the equation 2 ClO(g) ⇌ Cl2O2(g) for which Kc is 4.96 * 10^11 at 253 K. For an equilibrium mixture in which [Cl2O2] is 6.00 * 10^-6 M, what is [ClO]?
Verified step by step guidance1
Identify the equilibrium expression for the reaction: 2 \text{ClO}(g) \rightleftharpoons \text{Cl}_2\text{O}_2(g). The equilibrium constant expression K_c is given by K_c = \frac{[\text{Cl}_2\text{O}_2]}{[\text{ClO}]^2}.
Substitute the given values into the equilibrium expression. You know K_c = 4.96 \times 10^{11} and [\text{Cl}_2\text{O}_2] = 6.00 \times 10^{-6} \text{ M}.
Rearrange the equilibrium expression to solve for [\text{ClO}]. This involves isolating [\text{ClO}]^2 on one side of the equation.
Take the square root of both sides of the equation to solve for [\text{ClO}].
Ensure that the units are consistent and check your work to confirm that the calculated concentration of [\text{ClO}] is reasonable given the context of the problem.
Related Practice
Textbook Question
The reaction 2 AsH31g2 ∆ As21g2 + 3 H21g2 has Kp = 7.2 * 107 at 1073 K. At the same temperature, what is Kp for each of the following reactions? (a) As21g2 + 3 H21g2 ∆ 2 AsH31g2
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Textbook Question
The vapor pressure of water at 25 °C is 0.0313 atm. Cal- culate the values of Kp and Kc at 25 °C for the equilibrium H2O1l2 ∆ H2O1g2.
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Open Question
Sulfur dioxide reacts with oxygen in a step in the production of sulfuric acid. 2 SO2(g) + O2(g) ⇌ 2 SO3(g) Kc = 7.9 * 10^4 at 1800 K. For an equilibrium mixture in which [SO2] = 1.5 * 10^-3 M and [O2] = 3.0 * 10^-3 M, what is [SO3]?
Textbook Question
For each of the following equilibria, write the equilibrium constant expression for Kc. Where appropriate, also write the equilibrium constant expression for Kp. (a) Fe2O31s2 + 3 CO1g2 ∆ 2 Fe1l2 + 3 CO21g2
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Open Question
For each of the following equilibria, write the equilibrium constant expression for Kc. Where appropriate, also write the equilibrium constant expression for Kp. (a) WO3(s) + 3 H2(g) ⇌ W(s) + 3 H2O(g) (b) Ag+(aq) + Cl-(aq) ⇌ AgCl(s) (c) 2 FeCl3(s) + 3 H2O(g) ⇌ Fe2O3(s) + 6 HCl(g) (d) MgCO3(s) ⇌ MgO(s) + CO2(g)