Chapter 3: Problem 17
State Henry's law.
Short Answer
Expert verified
Henry's law states that gas solubility in a liquid is proportional to the gas's partial pressure.
Step by step solution
01
Define Henry's Law
Henry's law states that at a constant temperature, the amount of gas that dissolves in a liquid is directly proportional to the partial pressure of that gas in contact with the liquid."
02
Express in Mathematical Form
The law can be mathematically expressed as: \[ C = kP \]where \( C \) is the concentration of the gas in the liquid, \( P \) is the partial pressure of the gas above the liquid, and \( k \) is the Henry's law constant which varies for different gases.
03
Identify Key Components
In Henry's law, the key components are concentration of gas in the solvent (\( C \)), its partial pressure (\( P \)), and the Henry's law constant (\( k \)), which is a measure of the gas's solubility in the given liquid.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Gas Solubility
Gas solubility refers to how well a gas can dissolve into a liquid. This process depends on various factors, including the nature of the gas and the liquid, as well as the temperature and pressure conditions. When gas molecules are introduced to a liquid, they interact with the liquid's molecules, forming a solution.
- The more soluble a gas is, the more molecules can integrate within the liquid.
- The solubility often decreases with an increase in temperature, meaning gases are usually less soluble in warmer liquids.
Partial Pressure
Partial pressure is a concept used to describe the pressure exerted by a single type of gas in a mixture of gases. In other words, it’s the hypothetical pressure that this gas would exhibit if it alone occupied the entire volume.
- This pressure is crucial when discussing gas behavior in solutions as outlined by Henry's Law.
- When a gas is in contact with a liquid, its partial pressure will affect how much of it dissolves into the liquid.
Concentration of Gas in Liquid
The concentration of a gas in a liquid is a measure of how many molecules of the gas are present in a given volume of the liquid. Henry's Law represents this relationship using the formula: \[ C = kP \]where:- \( C \) is the concentration of the gas in the liquid,- \( P \) is the partial pressure of the gas,- \( k \) is Henry's law constant for the gas-liquid combination.This formula shows that the concentration (\( C \)) is directly proportional to the partial pressure (\( P \)) of the gas, multiplied by a constant (\( k \)) that depends on the specific gas and liquid involved.
- The constant \( k \) varies depending on the type of gas and the solvent, reflecting how different gases dissolve at different rates.
- Understanding this relationship helps in predicting how much gas will dissolve when the partial pressure changes.