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Ch.13 - Properties of Solutions
Chapter 13, Problem 93a

Most fish need at least 4 ppm dissolved O2 in water for survival. (a) What is this concentration in mol/L?

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Key Concepts

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

Dissolved Oxygen Concentration

Dissolved oxygen (DO) refers to the amount of oxygen that is present in water, which is crucial for aquatic life. The concentration of DO is typically measured in parts per million (ppm) or milligrams per liter (mg/L). For fish, a minimum concentration of 4 ppm is necessary for survival, indicating the importance of oxygen availability in aquatic ecosystems.
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Molarity (mol/L)

Molarity is a way to express concentration, defined as the number of moles of solute per liter of solution (mol/L). It is a fundamental concept in chemistry that allows for the quantification of substances in a solution. To convert ppm to molarity, one must consider the molar mass of the solute and the density of the solution, as ppm is a mass-based measurement.
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Conversion between ppm and molarity

To convert a concentration from ppm to molarity, the formula used is: molarity (mol/L) = (ppm / molar mass of solute) × (1/1000). This conversion is essential for understanding how mass-based concentrations relate to the number of moles in a given volume, which is critical for chemical calculations and understanding biological needs in aquatic environments.
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Related Practice
Textbook Question

The 'free-base' form of cocaine (C17H21NO4) and its protonated hydrochloride form (C17H22ClNO4) 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

(a) One of these forms of cocaine is relatively water-soluble: which form, the free base or the hydrochloride?

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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?

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Textbook Question

A supersaturated solution of sucrose (C12H22O11) is made by dissolving sucrose in hot water and slowly letting the solution cool to room temperature. After a long time, the excess sucrose crystallizes out of the solution. Indicate whether each of the following statements is true or false: (b) After the excess sucrose has crystallized out, the system is now unstable and is not in equilibrium.

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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.)

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Textbook Question

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?

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Textbook Question

The maximum allowable concentration of lead in drinking water is 9.0 ppb. (b) How many grams of lead are in a swimming pool containing 9.0 ppb lead in 60 m3 of water?

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