Skip to main content
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 62

A gas mixture with a total pressure of 745 mmHg contains each of the following gases at the indicated partial pressures: CO2, 125 mmHg; Ar, 214 mmHg; and O2, 187 mmHg. The mixture also contains helium gas. What is the partial pressure of the helium gas? What mass of helium gas is present in a 12.0-L sample of this mixture at 273 K?

Guida verificata passo dopo passo
1
Identify the total pressure of the gas mixture, which is given as 745 mmHg.
List the partial pressures of the known gases: CO2 is 125 mmHg, Ar is 214 mmHg, and O2 is 187 mmHg.
Use Dalton's Law of Partial Pressures, which states that the total pressure is the sum of the partial pressures of all gases in the mixture. Set up the equation: P_total = P_CO2 + P_Ar + P_O2 + P_He.
Rearrange the equation to solve for the partial pressure of helium (P_He): P_He = P_total - (P_CO2 + P_Ar + P_O2).
To find the mass of helium, use the ideal gas law: PV = nRT. Solve for n (moles of He) using the partial pressure of He, the volume (12.0 L), and the temperature (273 K). Then, convert moles to grams using the molar mass of helium (4.00 g/mol).

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
4m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

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. This principle allows us to calculate the partial pressure of an unknown gas in a mixture by subtracting the known partial pressures from the total pressure.
Video consigliato:
Percorso guidato
00:27
Dalton's Law and Partial Pressure

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 essential for calculating the mass of a gas when its volume, temperature, and pressure are known, as it allows us to determine the number of moles and subsequently convert to mass using the molar mass.
Video consigliato:
Percorso guidato
01:15
Ideal Gas Law Formula

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is crucial for converting between the number of moles of a gas and its mass. Knowing the molar mass of helium (approximately 4.00 g/mol) enables us to calculate the mass of helium present in the gas mixture once we determine the number of moles using the Ideal Gas Law.
Video consigliato:
Percorso guidato
02:11
Molar Mass Concept