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Ch.15 - Chemical Equilibrium
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 15, Problema 45

At 100 _x001F_C, Kc = 0.078 for the reaction SO2Cl2(g) ⇌ SO2(g) + Cl2(g). In an equilibrium mixture of the three gases, the concentrations of SO2Cl2 and SO2 are 0.108 M and 0.052 M, respectively. What is the partial pressure of Cl2 in the equilibrium mixture?

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1
Identify the equilibrium expression for the reaction: SO2Cl2(g) ⇌ SO2(g) + Cl2(g). The equilibrium constant expression (Kc) is given by Kc = [SO2][Cl2]/[SO2Cl2].
Substitute the known values into the equilibrium expression. You have [SO2Cl2] = 0.108 M and [SO2] = 0.052 M. The equilibrium constant Kc is 0.078.
Rearrange the equilibrium expression to solve for the unknown concentration of Cl2. This gives [Cl2] = Kc * [SO2Cl2] / [SO2].
Substitute the known values into the rearranged equation to find the concentration of Cl2. This involves multiplying Kc by [SO2Cl2] and then dividing by [SO2].
The concentration of Cl2 obtained from the calculation is the same as its partial pressure in the equilibrium mixture, assuming ideal gas behavior.

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Equilibrium Constant (Kc)

The equilibrium constant (Kc) is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature. For the reaction SO2Cl2(g) ⇌ SO2(g) + Cl2(g), Kc = [SO2][Cl2]/[SO2Cl2]. A Kc value less than 1 indicates that at equilibrium, the concentration of reactants is greater than that of products.
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Partial Pressure

Partial pressure is the pressure exerted by a single component of a gas mixture. According to Dalton's Law, the total pressure of a gas mixture is the sum of the partial pressures of each individual gas. The partial pressure of a gas can be calculated using the ideal gas law, where P = (n/V)RT, or by using the concentration of the gas in the mixture and the total pressure.
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Ideal Gas Law

The ideal gas law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. This law allows for the calculation of gas properties under various conditions, including determining partial pressures in equilibrium systems.
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