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
Tutti i libri di testoTro 4th EditionCh.5 - GasesProblema 118
Capitolo 5, Problema 118

A quantity of N2 occupies a volume of 1.0 L at 300 K and 1.0 atm. The gas expands to a volume of 3.0 L as the result of a change in both temperature and pressure. Find the density of the gas at these new conditions.

Guida verificata passo dopo passo
1
Identify the initial conditions: Volume (V1) = 1.0 L, Temperature (T1) = 300 K, Pressure (P1) = 1.0 atm.
Identify the final conditions: Volume (V2) = 3.0 L. The final temperature (T2) and pressure (P2) are not given, but we need to find the density at these conditions.
Use the ideal gas law in the form \( PV = nRT \) to express the number of moles \( n \) in terms of the initial conditions: \( n = \frac{P1 \times V1}{R \times T1} \).
Assume the number of moles \( n \) remains constant. Use the ideal gas law again for the final conditions: \( P2 \times V2 = n \times R \times T2 \).
Density \( \rho \) is defined as mass per unit volume. Use the molar mass of \( N_2 \) and the number of moles \( n \) to find the mass, then divide by the final volume \( V2 \) to find the density: \( \rho = \frac{n \times \text{molar mass of } N_2}{V2} \).

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.

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 for understanding gas behavior under varying conditions and allows for the calculation of one variable when the others are known.
Video consigliato:
Percorso guidato
01:15
Ideal Gas Law Formula

Density of a Gas

Density is defined as mass per unit volume. For gases, density can be calculated using the formula ρ = PM/RT, where ρ is density, P is pressure, M is molar mass, R is the ideal gas constant, and T is temperature. Understanding this relationship is crucial for determining the density of gases under different conditions.
Video consigliato:
Percorso guidato
01:21
Gas Density Example

Changes in State Variables

When a gas undergoes changes in volume, temperature, or pressure, its state variables are interrelated. Understanding how these variables affect each other is essential for solving problems involving gas expansion or compression, as it allows for the application of the Ideal Gas Law to find unknown quantities.
Video consigliato:
Percorso guidato
01:41
Physical Changes
Pratica correlata
Domanda del libro di testo

A mixture of CO(g) and O2(g) in a 1.0-L container at 1.0×103 K has a total pressure of 2.2 atm. After some time, the total pressure falls to 1.9 atm as the result of the formation of CO2. Determine the mass (in grams) of CO2 that forms.

1477
views
Domanda del libro di testo

A catalytic converter in an automobile uses a palladium or platinum catalyst (a substance that increases the rate of a reaction without being consumed by the reaction) to convert carbon monoxide gas to carbon dioxide according to the reaction: 2 CO(g) + O2(g) → 2 CO2(g) A chemist researching the effectiveness of a new catalyst combines a 2.0:1.0 mole ratio mixture of carbon monoxide and oxygen gas (respectively) over the catalyst in a 2.45-L flask at a total pressure of 745 torr and a temperature of 552 °C. When the reaction is complete, the pressure in the flask has dropped to 552 torr. What percentage of the carbon monoxide was converted to carbon dioxide?

3208
views
Domanda del libro di testo

The radius of a xenon atom is 1.3×10– 8 cm. A 100-mL flask is filled with Xe at a pressure of 1.0 atm and a temperature of 273 K. Calculate the fraction of the volume that is occupied by Xe atoms. (Hint: The atoms are spheres.)

2544
views
2
comments
Domanda del libro di testo

A scuba diver creates a spherical bubble with a radius of 2.5 cm at a depth of 30.0 m where the total pressure (including atmospheric pressure) is 4.00 atm. What is the radius of the bubble when it reaches the surface of the water? (Assume that the atmospheric pressure is 1.00 atm and the temperature is 298 K.)

1833
views