What is the rule for writing the equilibrium constant for the overall reaction involving two or more reactions?

Short Answer

Expert verified
For an overall reaction that is the sum of two or more reactions, the equilibrium constant is the product of the equilibrium constants of the individual reactions.

Step by step solution

01

Understand Basic Concept of Equilibrium Constant

In chemical reactions, the equilibrium constant \(K\) is a measure of the ratio of the concentrations of products to reactants once the reaction has reached equilibrium. It is calculated by raising each concentration to the power of its stoichiometric coefficient and taking the product of the concentrations of the products divided by the product of the concentrations of the reactants.
02

Identify the tie between Multiple Reactions and the Overall Reaction

When an overall reaction is the sum of two or more reactions, the equilibrium constant for the overall reaction is the product of the equilibrium constants of the individual reactions.
03

Application of the Concept

Let's say we have two reactions, reaction 1: \(A ↔ B\) with equilibrium constant \(K1\), and reaction 2: \(B ↔ C\) with equilibrium constant \(K2\). The overall reaction would be \(A ↔ C\). The equilibrium constant for this overall reaction \(K\) would be \(K = K1 \times K2\).

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Most popular questions from this chapter

Industrially, sodium metal is obtained by electrolyzing molten sodium chloride. The reaction at the cathode is \(\mathrm{Na}^{+}+e^{-} \longrightarrow \mathrm{Na}\). We might expect that potassium metal would also be prepared by electrolyzing molten potassium chloride. However, potassium metal is soluble in molten potassium chloride and therefore is hard to recover. Furthermore, potassium vaporizes readily at the operating temperature, creating hazardous conditions. Instead, potassium is prepared by the distillation of molten potassium chloride in the presence of sodium vapor at \(892^{\circ} \mathrm{C}\) : $$\mathrm{Na}(g)+\mathrm{KCl}(l) \rightleftharpoons \mathrm{NaCl}(l)+\mathrm{K}(g)$$ In view of the fact that potassium is a stronger reducing agent than sodium, explain why this approach works. (The boiling points of sodium and potassium are \(892^{\circ} \mathrm{C}\) and \(770^{\circ} \mathrm{C},\) respectively. \()\)

Outline the steps for calculating the concentrations of reacting species in an equilibrium reaction.

Write the equation relating \(K_{\mathrm{c}}\) to \(K_{P}\), and define all the terms.

Eggshells are composed mostly of calcium carbonate \(\left(\mathrm{CaCO}_{3}\right)\) formed by the reaction $$\mathrm{Ca}^{2+}(a q)+\mathrm{CO}_{3}^{2-}(a q) \rightleftharpoons \mathrm{CaCO}_{3}(s)$$ The carbonate ions are supplied by carbon dioxide produced as a result of metabolism. Explain why eggshells are thinner in the summer when the rate of panting by chickens is greater. Suggest a remedy for this situation.

What effect does an increase in pressure have on each of the following systems at equilibrium? The temperature is kept constant and, in each case, the reactants are in a cylinder fitted with a movable piston. (a) \(\mathrm{A}(s) \rightleftharpoons 2 \mathrm{~B}(s)\) (b) \(2 \mathrm{~A}(l) \rightleftharpoons \mathrm{B}(l)\) (c) \(\mathrm{A}(s) \rightleftharpoons \mathrm{B}(g)\) (d) \(\mathrm{A}(g) \rightleftharpoons \mathrm{B}(g)\) (e) \(\mathrm{A}(g) \rightleftharpoons 2 \mathrm{~B}(g)\)

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