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Ch.13 - Properties of Solutions
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBrown 14th EditionCh.13 - Properties of SolutionsProblema 93b
Capitolo 13, Problema 93b

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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1
Understand that ppm (parts per million) is a way to express concentration. For gases dissolved in water, 4 ppm means 4 mg of O_2 per liter of water.
Convert the concentration from ppm to molarity (mol/L). Use the molar mass of O_2, which is approximately 32.00 g/mol, to convert mg/L to mol/L.
Apply Henry's Law, which states that the concentration of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid. The formula is C = kP, where C is the concentration of the gas, k is the Henry's law constant, and P is the partial pressure.
Rearrange the formula to solve for the partial pressure: P = C/k.
Substitute the values for C (from step 2) and k (given as 1.71⨉10^-3 mol/L-atm) into the equation to find the partial pressure of O_2 needed.

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Henry's Law

Henry's Law states that the amount of a 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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Dissolved Oxygen Concentration

Dissolved oxygen concentration refers to the amount of oxygen that is present in water, typically measured in parts per million (ppm) or milligrams per liter (mg/L). For aquatic life, maintaining a certain level of dissolved oxygen is crucial for survival, as it is essential for respiration in fish and other organisms.
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Temperature Effects on Gas Solubility

The solubility of gases in liquids is influenced by temperature; generally, as temperature increases, the solubility of gases decreases. This is important in aquatic environments, as warmer water holds less dissolved oxygen, which can affect fish survival and ecosystem health.
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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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