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Ch.10 - Gases
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 103a

Assume that an exhaled breath of air consists of 74.8% N2, 15.3% O2, 3.7% CO2, and 6.2% water vapor. a. If the total pressure of the gases is 0.985 atm, calculate the partial pressure of each component of the mixture.

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Identify the given percentages of each gas in the mixture: 74.8% N_2, 15.3% O_2, 3.7% CO_2, and 6.2% H_2O.
Understand that the partial pressure of a gas in a mixture is given by Dalton's Law of Partial Pressures, which states that the partial pressure of a gas is equal to the mole fraction of the gas multiplied by the total pressure.
Convert the percentages to mole fractions by dividing each percentage by 100. For example, the mole fraction of N_2 is 0.748.
Calculate the partial pressure of each gas by multiplying its mole fraction by the total pressure (0.985 atm). For example, the partial pressure of N_2 is 0.748 * 0.985 atm.
Repeat the calculation for each gas: O_2, CO_2, and H_2O, using their respective mole fractions and the total pressure.

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Dalton's Law of Partial Pressures

Dalton's Law states that in a mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of each individual gas. Each gas in the mixture contributes to the total pressure in proportion to its mole fraction. This principle is essential for calculating the partial pressures of gases in a mixture, as it allows us to determine how much each gas contributes to the overall pressure.
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Mole Fraction

The mole fraction is a way of expressing the concentration of a component in a mixture. It is defined as the ratio of the number of moles of a specific component to the total number of moles of all components in the mixture. In the context of gas mixtures, the mole fraction can be used to calculate the partial pressure of each gas by multiplying the mole fraction by the total pressure.
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Gas Laws

Gas laws describe the behavior of gases under various conditions of temperature, pressure, and volume. The ideal gas law, PV=nRT, relates pressure (P), volume (V), temperature (T), and the number of moles (n) of a gas. Understanding these laws is crucial for solving problems involving gas mixtures, as they provide the foundational relationships needed to manipulate and calculate the properties of gases.
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