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Ch.13 - Solutions & Their Properties
Chapter 13, Problem 82

Vinyl chloride (H2C=CHCl), the starting material from which PVC polymer is made, has a Henry’s law constant of 0.091 mol/L-atm at 25 °C. What is the solubility of vinyl chloride in water in mol/L at 25 °C and a partial pressure of 0.75 atm?

Verified step by step guidance
1
Identify the given values: Henry's law constant (k_H) is 0.091 mol/L-atm, and the partial pressure (P) of vinyl chloride is 0.75 atm.
Recall Henry's Law, which states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid. The formula is: S = k_H * P, where S is the solubility.
Substitute the given values into the Henry's Law equation: S = 0.091 mol/L-atm * 0.75 atm.
Perform the multiplication to find the solubility S in mol/L.
Interpret the result to understand the solubility of vinyl chloride in water under the given conditions.

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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 relationship can be expressed mathematically as C = kH * P, where C is the concentration of the gas in the liquid, kH is the Henry's law constant, and P is the partial pressure of the gas.
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Solubility

Solubility refers to the maximum amount of a substance that can dissolve in a given volume of solvent at a specific temperature and pressure. In the context of gases, solubility is often expressed in mol/L and is influenced by factors such as temperature, pressure, and the nature of the gas and solvent.
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Partial Pressure

Partial pressure is the pressure exerted by a single component of a mixture of gases. In the context of solubility, it is the pressure of the gas above the liquid that affects how much of that gas can dissolve in the liquid. Understanding partial pressure is crucial for applying Henry's Law to calculate solubility.
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