Chapter 16: Problem 27
Write the equilibrium expression for each of the following heterogeneous equilibria. a. \(2 \mathrm{HgO}(s) \rightleftharpoons 2 \mathrm{Hg}(l)+\mathrm{O}_{2}(g)\) b. \(2 \mathrm{KClO}_{3}(s) \rightleftharpoons 2 \mathrm{KCl}(s)+3 \mathrm{O}_{2}(g)\) c. \(C(s)+C O_{2}(g) \rightleftharpoons 2 C O(g)\)
Short Answer
Step by step solution
Identify the gaseous components
Write the equilibrium expression
Identify the gaseous components
Write the equilibrium expression
Identify the gaseous components
Write the equilibrium expression
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
heterogeneous equilibria
For example, in the reaction \(2 \mathrm{HgO}(s) \rightleftharpoons 2 \mathrm{Hg}(l) + \mathrm{O}_2(g)\), HgO is a solid, and Hg is a liquid. Therefore, they are not included in the equilibrium expression. The resulting expression focuses only on the gaseous oxygen \(\mathrm{O}_2\).
Remember, in heterogeneous equilibria, the pure solids and liquids are considered as having constant activity and do not appear in the equilibrium expression.
stoichiometric coefficients
In equilibrium expressions, these coefficients are used as exponents. For instance, in the reaction \(2 \mathrm{KClO}_3(s) \rightleftharpoons 2 \mathrm{KCl}(s) + 3 \mathrm{O}_2(g)\), the stoichiometric coefficient of \(\mathrm{O}_2\) is 3. As such, the equilibrium expression \(K_b = [\mathrm{O}_2]^3\) includes this coefficient as an exponent, emphasizing the influence of the amount of oxygen produced.
Understanding stoichiometric coefficients helps ensure accurate calculations of equilibrium expressions and can predict how changes in concentrations of reactants or products will affect the reaction's position.
gaseous components
Take the reaction \(C(s) + CO_2(g) \rightleftharpoons 2 CO(g)\). Here, \(CO_2\) and \(CO\) are the gaseous components. The equilibrium expression derived from this reaction includes only these gases: \(K_c = \frac{[\mathrm{CO}]^2}{[\mathrm{CO}_2]}\). This highlights the importance of understanding which components of a reaction are in the gaseous state.
Pay attention to gaseous components as they often play a crucial role in the equilibrium of a reaction, and knowing how to manipulate them can significantly influence the outcome of chemical processes.
chemical reactions
Equilibrium in chemical reactions is achieved when the rate of the forward reaction equals the rate of the reverse reaction. At this point, the concentrations of reactants and products remain constant over time, though they are not necessarily equal.
In heterogeneous equilibriums, it is vital to distinguish between different phases of reactants and products because only the concentrations of gaseous substances influence the equilibrium state. Recognizing the nature of chemical reactions helps in formulating correct equilibrium expressions and in understanding how various factors can shift the equilibrium, such as changes in concentration, pressure, or temperature.
This foundational concept lays the groundwork for studying advanced chemical processes and developing new reactions with desired outcomes.