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Ch.5 - Gases
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 5, Problema 65

A gas mixture contains 1.25 g N2 and 0.85 g O2 in a 1.55 L container at 18 °C. Calculate the mole fraction and partial pressure of each component in the gas mixture.

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Convert the mass of each gas to moles using their molar masses: \( \text{Molar mass of } N_2 = 28.02 \text{ g/mol} \) and \( \text{Molar mass of } O_2 = 32.00 \text{ g/mol} \).
Calculate the total number of moles in the gas mixture by adding the moles of \( N_2 \) and \( O_2 \).
Determine the mole fraction of each gas by dividing the moles of each gas by the total moles of the gas mixture.
Use the ideal gas law \( PV = nRT \) to calculate the total pressure of the gas mixture, where \( R = 0.0821 \text{ L atm/mol K} \) and \( T = 18^\circ C = 291 \text{ K} \).
Calculate the partial pressure of each gas by multiplying its mole fraction by the total pressure.

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Mole Fraction

Mole fraction is a way of expressing the concentration of a component in a mixture. It is calculated by dividing the number of moles of a specific component by the total number of moles of all components in the mixture. This dimensionless quantity helps in understanding the composition of the gas mixture and is crucial for calculating partial pressures.
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Mole Fraction Formula

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is fundamental in calculating the behavior of gases under various conditions. In this context, it allows us to determine the partial pressures of nitrogen and oxygen in the gas mixture based on their mole fractions and the total pressure.
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Ideal Gas Law Formula

Partial Pressure

Partial pressure is the pressure that a single component of a gas mixture would exert if it occupied the entire volume alone at the same temperature. It can be calculated using Dalton's Law, which states that the total pressure of a gas mixture is the sum of the partial pressures of its individual components. Understanding partial pressures is essential for analyzing gas mixtures and their behaviors.
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Partial Pressure Calculation
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