AP Chemistry
7.6 Properties of the Equilibrium Constant
7.5 Magnitude of the Equilibrium Constant
A student investigates the stepwise hydration of anhydrous calcium chloride, \(\text{CaCl}_2(s)\), at \(298\text{ K}\). The chemical equations and equilibrium constants for the first two hydration steps are given below.
\[\text{CaCl}_2(s) + \text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot\text{H}_2\text{O}(s) \quad K_1 = 5.0 \times 10^3\]
\[\text{CaCl}_2\cdot\text{H}_2\text{O}(s) + \text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot 2\text{H}_2\text{O}(s) \quad K_2 = 2.0 \times 10^2\]
The overall hydration reaction is represented by the following equation:
\[\text{CaCl}_2(s) + 2\text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot 2\text{H}_2\text{O}(s) \quad K_3\]
Which of the following correctly ranks the equilibrium constants \(K_1\), \(K_2\), and \(K_3\) from greatest to least at \(298\text{ K}\), and gives the correct relationship for \(K_3\)?
\[\text{CaCl}_2(s) + \text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot\text{H}_2\text{O}(s) \quad K_1 = 5.0 \times 10^3\]
\[\text{CaCl}_2\cdot\text{H}_2\text{O}(s) + \text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot 2\text{H}_2\text{O}(s) \quad K_2 = 2.0 \times 10^2\]
The overall hydration reaction is represented by the following equation:
\[\text{CaCl}_2(s) + 2\text{H}_2\text{O}(g) \rightleftharpoons \text{CaCl}_2\cdot 2\text{H}_2\text{O}(s) \quad K_3\]
Which of the following correctly ranks the equilibrium constants \(K_1\), \(K_2\), and \(K_3\) from greatest to least at \(298\text{ K}\), and gives the correct relationship for \(K_3\)?
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