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Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Calcium carbonate decomposes to form calcium oxide and carbon dioxide, like this: \[ \text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g) \] At a certain temperature, a chemist finds that a 6.1 L reaction vessel containing a mixture of calcium carbonate, calcium oxide, and carbon dioxide at equilibrium has the following composition: | Compound | Amount | |----------|--------| | CaCO₃ | 49.6 g | | CaO | 15.9 g | | CO₂ | 18.2 g | Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits. \[ K_c = \] ### Diagram Explanation The diagram includes a table that lists the amounts of each compound in the reaction mixture at equilibrium, expressed in grams. This information is necessary to calculate the equilibrium constant, \( K_c \), for the decomposition of calcium carbonate. The constant is determined using the concentrations of the products and reactants at equilibrium. Given that the solid compounds, CaCO₃ and CaO, do not appear in the expression for \( K_c \) because their activities are constant, only the gaseous CO₂ is considered in the calculation.
Transcribed Image Text:Calcium carbonate decomposes to form calcium oxide and carbon dioxide, like this: \[ \text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g) \] At a certain temperature, a chemist finds that a 6.1 L reaction vessel containing a mixture of calcium carbonate, calcium oxide, and carbon dioxide at equilibrium has the following composition: | Compound | Amount | |----------|--------| | CaCO₃ | 49.6 g | | CaO | 15.9 g | | CO₂ | 18.2 g | Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits. \[ K_c = \] ### Diagram Explanation The diagram includes a table that lists the amounts of each compound in the reaction mixture at equilibrium, expressed in grams. This information is necessary to calculate the equilibrium constant, \( K_c \), for the decomposition of calcium carbonate. The constant is determined using the concentrations of the products and reactants at equilibrium. Given that the solid compounds, CaCO₃ and CaO, do not appear in the expression for \( K_c \) because their activities are constant, only the gaseous CO₂ is considered in the calculation.
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