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Ch.15 - Chemical Equilibrium
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 15, Problema 154b

Acetic acid tends to form dimers, (CH3CO2H2), because of hydrogen bonding: The equilibrium constant Kc for this reaction is 1.51⨉102 in benzene solution but only 3.7⨉10-2 in water solution. (b) Calculate the ratio of dimers to monomers for 0.100 M acetic acid in water.

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1
Identify the equilibrium reaction for the dimerization of acetic acid: 2 \(\text{CH}\)_3\(\text{CO}\)_2\(\text{H}\) \(\rightleftharpoons\) (\(\text{CH}\)_3\(\text{CO}\)_2\(\text{H}\))_2.
Write the expression for the equilibrium constant, K_c, for the reaction: K_c = \(\frac{[(\text{CH}\)_3\(\text{CO}\)_2\(\text{H}\))_2]}{[\(\text{CH}\)_3\(\text{CO}\)_2\(\text{H}\)]^2}.
Substitute the given K_c value for water (3.7 \(\times\) 10^{-2}) into the equilibrium expression.
Let x be the concentration of dimers at equilibrium. Then, the concentration of monomers at equilibrium is (0.100 - 2x) M.
Solve the equation 3.7 \(\times\) 10^{-2} = \(\frac{x}{(0.100 - 2x)^2}\) to find the ratio of dimers to monomers, \(\frac{x}{0.100 - 2x}\).

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Hydrogen Bonding

Hydrogen bonding is a type of intermolecular force that occurs when a hydrogen atom covalently bonded to a highly electronegative atom, such as oxygen or nitrogen, experiences an attraction to another electronegative atom. In the case of acetic acid, the hydrogen bonds between molecules lead to the formation of dimers, which significantly affects the concentration of monomers and dimers in solution.
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Hydrogenation Reactions

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. In this context, Kc indicates the extent to which acetic acid forms dimers in different solvents, with higher values suggesting a greater tendency to form dimers, as seen in benzene compared to water.
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Equilibrium Constant Expressions

Concentration and Ratio Calculations

Concentration refers to the amount of a substance in a given volume of solution, typically expressed in molarity (M). To calculate the ratio of dimers to monomers in a solution of acetic acid, one must use the equilibrium constant and the initial concentration to determine the concentrations of both species at equilibrium, allowing for the calculation of their ratio.
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Neutron-Proton Ratio