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Ch.13 - Properties of Solutions
Chapter 13, Problem 107

At ordinary body temperature (37 °C), the solubility of N2 in water at ordinary atmospheric pressure (1.0 atm) is 0.015 g/L. Air is approximately 78 mol % N2. (c) If a scuba diver suddenly surfaces from this depth, how many milliliters of N2 gas, in the form of tiny bubbles, are released into the bloodstream from each liter of blood?

Verified step by step guidance
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First, understand that the problem involves the solubility of nitrogen gas (N2) in water at body temperature and atmospheric pressure. We need to determine how much N2 gas is released when a scuba diver surfaces suddenly.
Use Henry's Law to relate the solubility of a gas in a liquid to the partial pressure of the gas above the liquid. Henry's Law is given by: C=kP, where C is the solubility, k is the Henry's Law constant, and P is the partial pressure of the gas.
Calculate the partial pressure of N2 in air using its mole fraction. Since air is approximately 78 mol % N2, the partial pressure of N2 is: P=0.78×1.0 atm.
Determine the change in solubility when the pressure changes from the initial pressure to the pressure at the surface. Use the initial solubility and the calculated partial pressure to find the solubility at the surface using Henry's Law.
Convert the change in solubility from grams per liter to milliliters of gas released. Use the ideal gas law to relate the volume of gas released to the change in solubility: PV=nRT, where V is the volume of gas released.

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 principle is crucial for understanding how gases like nitrogen dissolve in blood and how changes in pressure can affect solubility, particularly when a diver ascends rapidly.
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Henry's Law Calculations

Gas Solubility

Gas solubility refers to the maximum amount of gas that can dissolve in a liquid at a specific temperature and pressure. In this scenario, the solubility of nitrogen in blood at body temperature is essential for calculating how much nitrogen is released as a diver ascends, as the solubility decreases with decreasing pressure.
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Gas Solubility Example

Volume of Gas at Standard Conditions

The volume of gas at standard conditions (STP) is a concept that allows us to relate the amount of gas in moles to its volume. Understanding this relationship is important for converting the mass of nitrogen released from blood into a volume of gas, which can be expressed in milliliters, especially when considering the behavior of gases under different pressures and temperatures.
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Standard Molar Volume
Related Practice
Textbook Question

Fluorocarbons (compounds that contain both carbon and fluorine) were, until recently, used as refrigerants. The compounds listed in the following table are all gases at 25 °C, and their solubilities in water at 25 °C and 1 atm fluorocarbon pressure are given as mass percentages. (a) For each fluorocarbon, calculate the molality of a saturated solution.

Textbook Question

Fluorocarbons (compounds that contain both carbon and fluorine) were, until recently, used as refrigerants. The compounds listed in the following table are all gases at 25 °C, and their solubilities in water at 25 °C and 1 atm fluorocarbon pressure are given as mass percentages. (b) Which molecular property best predicts the solubility of these gases in water: molar mass, dipole moment, or ability to hydrogen-bond to water?

Fluorocarbon Solubility (mass %)

CF4 0.0015

CClF3 0.009

CCl2F2 0.028

CHClF2 0.30

Textbook Question

Fluorocarbons (compounds that contain both carbon and fluorine) were, until recently, used as refrigerants. The compounds listed in the following table are all gases at 25 °C, and their solubilities in water at 25 °C and 1 atm fluorocarbon pressure are given as mass percentages. (c) Infants born with severe respiratory problems are sometimes given liquid ventilation: They breathe a liquid that can dissolve more oxygen than air can hold. One of these liquids is a fluorinated compound, CF3(CF2)7Br. The solubility of oxygen in this liquid is 66 mL O2 per 100 mL liquid. In contrast, air is 21% oxygen by volume. Calculate the moles of O2 present in an infant’s lungs (volume: 15 mL) if the infant takes a full breath of air compared to taking a full “breath” of a saturated solution of O2 in the fluorinated liquid. Assume a pressure of 1 atm in the lungs.

Textbook Question

At ordinary body temperature (37 °C), the solubility of N2 in water at ordinary atmospheric pressure (1.0 atm) is 0.015 g/L. Air is approximately 78 mol % N2. (b) At a depth of 100 ft in water, the external pressure is 4.0 atm. What is the solubility of N2 from air in blood at this pressure?

Textbook Question
A series of anions is shown below:

The anion on the far right is called 'BARF' by chemists, asits common abbreviation sounds similar to this word.(d) Tetrabutylammonium, (CH3CH2CH2CH2)4N + is a bulky cation. Which anion, when paired with the tetrabutylammonium cation, would lead to a salt that will be most soluble in nonpolar solvents?
Textbook Question

A series of anions is shown below:

The anion on the far right is called 'BARF' by chemists, as its common abbreviation sounds similar to this word. (a) What is the central atom and the number of electronpair domains around the central atom in each of these anions?

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