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Ch.9 Solutions
McMurry - Fundamentals of General, Organic, and Biological Chemistry 8th Edition
McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoMcMurry 8th EditionCh.9 SolutionsProblema 5
Capitolo 9, Problema 5

At a total atmospheric pressure of 1.00 atm, the partial pressure of CO2 in air is approximately 4.0 × 10-4atm. Using the data in Problem 9.4, what is the solubility of CO2 in an open bottle of seltzer water at 20 °C?

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1
Identify the relationship between gas solubility and partial pressure using Henry's Law: \( C = k_H \cdot P \), where \( C \) is the solubility of the gas (in mol/L), \( k_H \) is the Henry's Law constant (in mol/L·atm), and \( P \) is the partial pressure of the gas (in atm).
From Problem 9.4, determine the Henry's Law constant \( k_H \) for CO₂ at 20 °C. If not provided, consult a reliable source or reference table for the value of \( k_H \) at this temperature.
Substitute the given partial pressure of CO₂, \( P = 4.0 \times 10^{-4} \ \text{atm} \), and the Henry's Law constant \( k_H \) into the equation \( C = k_H \cdot P \).
Perform the multiplication to calculate the solubility \( C \) of CO₂ in the seltzer water. Ensure the units are consistent (e.g., mol/L).
Interpret the result: The calculated solubility represents the concentration of CO₂ dissolved in the seltzer water at equilibrium under the given conditions of temperature and pressure.

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Henry's Law

Henry's Law states that the amount of gas that dissolves in a liquid at a given temperature is directly proportional to the partial pressure of that gas above the liquid. This principle is crucial for understanding how gases like CO₂ behave in solutions, particularly in carbonated beverages, where the pressure of CO₂ influences its solubility.
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Percorso guidato
01:41
Henry's Law Calculations Concept 1

Solubility

Solubility refers to the maximum amount of a substance that can dissolve in a solvent at a specific temperature and pressure. In the context of the question, it pertains to how much CO₂ can be dissolved in seltzer water at 20 °C, which is influenced by both temperature and the partial pressure of CO₂.
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Percorso guidato
00:28
Solubility Rules

Partial Pressure

Partial pressure is the pressure exerted by a single component of a mixture of gases. In this scenario, the partial pressure of CO₂ in the air is given, and it is essential for calculating the solubility of CO₂ in seltzer water using Henry's Law, as it directly affects how much CO₂ can be dissolved in the liquid.
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Percorso guidato
00:48
Dalton's Law: Partial Pressure (Simplified) Concept 2
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