An air sample contains 1.89 ×10^-4 % of methane gas (CH 4 ). The Henry's law constant for methan

step 1 percentage of methane gas is 1 .89 into 10 0 .10 .m. minus 4 percent in the air. The more fricti

An air sample contains 1.89 ×10^-4 % of methane gas (CH 4 )....

An air sample contains $1.89 \times 10^{-4} \%$ of methane gas (CH $_{4}$ ). The Henry's law constant for methane in water is approximately $1.3 \times 10^{-3} \mathrm{M}$ at $20^{\circ} \mathrm{C}$ and 1.0 atm. a. Calculate the solubility of methane in water under a pure methane atmosphere of 1.0 atm. b. Calculate the maximum solubility of the methane found in the air sample.

An air sample contains $1.89 \times 10^{-4} \%$ of methane gas (CH $_{4}$ ). The Henry's law constant for methane in water is approximately $1.3 \times 10^{-3} \mathrm{M}$ at $20^{\circ} \mathrm{C}$ and 1.0 atm.
a. Calculate the solubility of methane in water under a pure methane atmosphere of 1.0 atm.
b. Calculate the maximum solubility of the methane found in the air sample.

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Key Concepts

Henry's Law

Henry's Law is a principle that relates the concentration of a dissolved gas in a liquid to the partial pressure of that gas above the solution. It states that at a constant temperature, the gas's concentration in the liquid is directly proportional to its partial pressure in the surrounding gas phase. This concept is pivotal for calculating gas solubility and understanding gas-liquid equilibria in various chemical and environmental contexts.

Partial Pressure

Partial pressure refers to the pressure exerted by an individual gas in a mixture of gases. In the context of gas solubility, it is the component of the total pressure that directly influences the amount of gas that dissolves in a liquid, according to Henry’s Law. Understanding partial pressure is essential for determining how changes in gas composition or pressure affect solubility.

Gas Solubility in Liquids

Gas solubility in liquids involves the process by which gas molecules dissolve in a liquid and reach equilibrium with the gas phase. This concept is governed by factors such as temperature, the intrinsic properties of both the gas and the liquid, and the gas's partial pressure as described by Henry's Law. It is a fundamental concept in fields ranging from environmental chemistry to industrial processes.

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