Textbook Question
Most fish need at least 4 ppm dissolved O2 in water for survival. (a) What is this concentration in mol/L?
908
views
Ch.13 - Properties of Solutions
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement111
- Ch.2 - Atoms, Molecules, and Ions166
- Ch.3 - Chemical Reactions and Reaction Stoichiometry138
- Ch.4 - Reactions in Aqueous Solution127
- Ch.5 - Thermochemistry104
- Ch.6 - Electronic Structure of Atoms109
- Ch.7 - Periodic Properties of the Elements107
- Ch.8 - Basic Concepts of Chemical Bonding102
- Ch.9 - Molecular Geometry and Bonding Theories120
- Ch.10 - Gases122
- Ch.11 - Liquids and Intermolecular Forces79
- Ch.12 - Solids and Modern Materials102
- Ch.13 - Properties of Solutions99
- Ch.14 - Chemical Kinetics153
- Ch.15 - Chemical Equilibrium83
- Ch.16 - Acid-Base Equilibria109
- Ch.17 - Additional Aspects of Aqueous Equilibria117
- Ch.18 - Chemistry of the Environment60
- Ch.19 - Chemical Thermodynamics109
- Ch.20 - Electrochemistry113
- Ch.21 - Nuclear Chemistry79
- Ch.22 - Chemistry of the Nonmetals52
- Ch.23 - Transition Metals and Coordination Chemistry57
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry7
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook
Chapter 13, Problem 96a
The presence of the radioactive gas radon (Rn) in well water presents a possible health hazard in parts of the United States. (a) Assuming that the solubility of radon in water with 1 atm pressure of the gas over the water at 30 °C is 7.27⨉10-3 M, what is the Henry's law constant for radon in water at this temperature?
Verified step by step guidance1
Identify the formula for Henry's Law, which is given by: \( C = k_H \cdot P \), where \( C \) is the concentration of the gas in the solution, \( k_H \) is the Henry's law constant, and \( P \) is the partial pressure of the gas.
Recognize that the problem provides the solubility of radon in water as \( 7.27 \times 10^{-3} \) M, which represents \( C \), and the pressure of radon over the water as 1 atm, which represents \( P \).
Substitute the given values into the Henry's Law equation: \( 7.27 \times 10^{-3} = k_H \cdot 1 \).
Solve for \( k_H \) by dividing both sides of the equation by the pressure (1 atm): \( k_H = \frac{7.27 \times 10^{-3}}{1} \).
Conclude that the Henry's law constant \( k_H \) for radon in water at 30 °C is equal to the solubility value, since the pressure is 1 atm.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1mWas this helpful?
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.
Recommended video:
Guided course
01:40
Henry's Law Calculations
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 gases, solubility is influenced by factors such as temperature and pressure, with higher pressures generally increasing the solubility of gases in liquids.
Recommended video:
Guided course
00:28Solubility Rules
Units of Henry's Law Constant
The Henry's law constant (kH) can be expressed in various units, depending on the context. Commonly, it is given in mol/(L·atm) or M/atm, indicating the concentration of the gas in moles per liter per unit of pressure in atmospheres. Understanding the units is crucial for correctly applying Henry's Law to calculate gas solubility.
Recommended video:
Guided course
01:40Henry's Law Calculations
Related Practice
Textbook Question
The maximum allowable concentration of lead in drinking water is 9.0 ppb. (a) Calculate the molarity of lead in a 9.0-ppb solution.
2
views
Textbook Question
The presence of the radioactive gas radon (Rn) in well water presents a possible health hazard in parts of the United States. (b) A sample consisting of various gases contains 3.5 × 10-6 mole fraction of radon. This gas at a total pressure of 32 atm is shaken with water at 30 °C. Calculate the molar concentration of radon in the water.
Textbook Question
The 'free-base' form of cocaine (C17H21NO4) and its protonated hydrochloride form (C17H21NO4) are shown below; the free-base form can be converted to the hydrochloride form with one equivalent of HCl. For clarity, not all the carbon and hydrogen atoms are shown; each vertex represents a carbon atom with the appropriate number of hydrogen atoms so that each carbon makes four bonds to other atoms (e) How many mL of a concentrated 18.0 M HCl aqueous solution would it take to convert 1.00 kilograms (a 'kilo') of the free-base form of cocaine into its hydrochloride form?
1668
views
Textbook Question
Most fish need at least 4 ppm dissolved O2 in water for survival. (b) What partial pressure of O2 above water is needed to obtain 4 ppm O2 in water at 10 °C? (The Henry's law constant for O2 at this temperature is 1.71⨉10-3 mol/L-atm.)
597
views