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Ch.15 - Chemical Equilibrium
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 15, Problema 74a

When 2.00 mol of SO2Cl2 is placed in a 2.00-L flask at 303 K, 56% of the SO2Cl2 decomposes to SO2 and Cl2: SO2Cl2(g) ⇌ SO2(g) + Cl2(g) (a) Calculate Kc for this reaction at this temperature.

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Determine the initial concentration of SO2Cl2 by dividing the number of moles by the volume of the flask. This gives the initial concentration in moles per liter.
Calculate the change in concentration of SO2Cl2 due to decomposition. Since 56% decomposes, multiply the initial concentration by 0.56 to find the amount that decomposed.
Write the expression for the equilibrium constant, Kc, for the reaction: Kc = \( \frac{[SO_2][Cl_2]}{[SO_2Cl_2]} \).
At equilibrium, the concentration of SO2 and Cl2 will be equal to the amount of SO2Cl2 that decomposed, and the concentration of SO2Cl2 will be the initial concentration minus the amount that decomposed.
Substitute the equilibrium concentrations into the Kc expression and solve for Kc.

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Chemical Equilibrium

Chemical equilibrium occurs when the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products. In this context, the decomposition of SO2Cl2 into SO2 and Cl2 reaches a state where the amounts of each species remain unchanged over time, allowing for the calculation of the equilibrium constant, Kc.
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Chemical Equilibrium Concepts

Equilibrium Constant (Kc)

The equilibrium constant, Kc, quantifies the ratio of the concentrations of products to reactants at equilibrium, raised to the power of their stoichiometric coefficients. For the reaction SO2Cl2 ⇌ SO2 + Cl2, Kc is calculated using the formula Kc = [SO2][Cl2] / [SO2Cl2], where the brackets denote molarity. This constant provides insight into the extent of the reaction and the favorability of product formation.
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Equilibrium Constant Expressions

Molarity and Concentration Calculations

Molarity is defined as the number of moles of solute per liter of solution, expressed as M = moles/volume. In this problem, the initial concentration of SO2Cl2 is determined by dividing the moles (2.00 mol) by the volume of the flask (2.00 L), which is essential for calculating the equilibrium concentrations after accounting for the decomposition of the reactant.
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Molar Mass Calculation Example