Skip to main content
Ch.10 - Gases
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.10 - GasesProblema 40a
Capitolo 10, Problema 40a

An aerosol spray can with a volume of 125 mL contains 1.30 g of propane gas (C3H8) as a propellant. (a) If the can is at 25 °C, what is the pressure in the can?

Guida verificata passo dopo passo
1
The volume of the can is 125 mL, which needs to be converted to liters for use in the ideal gas law. The mass of propane is 1.30 g, and the temperature is 25 °C, which needs to be converted to Kelvin.
Convert the volume from mL to L by dividing by 1000. Convert the temperature from Celsius to Kelvin by adding 273.15. Calculate the number of moles of propane using its molar mass (C3H8).
The ideal gas law is given by PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is temperature in Kelvin.
Rearrange the equation to P = (nRT)/V. Substitute the values for n, R, T, and V into the equation.
Perform the calculation to find the pressure in the can, ensuring all units are consistent. The result will be in atmospheres (atm).

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:
5m

Concetti chiave

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

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. This law allows us to calculate the pressure of a gas when its volume, temperature, and amount are known.
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). For propane (C3H8), the molar mass can be calculated by summing the atomic masses of its constituent elements: carbon (C) and hydrogen (H). Knowing the molar mass is essential for converting grams of a substance to moles, which is necessary for applying the Ideal Gas Law.
Video consigliato:
Percorso guidato
02:11
Molar Mass Concept

Gas Pressure

Gas pressure is the force exerted by gas molecules colliding with the walls of their container. It is typically measured in units such as atmospheres (atm) or pascals (Pa). In the context of the aerosol can, understanding how temperature and the number of gas molecules affect pressure is crucial for determining the pressure inside the can using the Ideal Gas Law.
Video consigliato:
Percorso guidato
01:15
Pressure Units
Pratica correlata
Domanda del libro di testo

(b) Carbon dioxide makes up approximately 0.04% of Earth's atmosphere. If you collect a 2.0-L sample from the atmosphere at sea level (101.33 kPa) on a warm day 127 °C2, how many CO2 molecules are in your sample?

1632
views
Domanda del libro di testo

(a) If the pressure exerted by ozone, O3, in the stratosphere is 304 Pa and the temperature is 250 K, how many ozone molecules are in a liter?

988
views
Domanda del libro di testo
A scuba diver's tank contains 2.50 kg of O2 compressed into a volume of 11.0 L. (b) What volume would this oxygen occupy at 25 °C and 101.33 kPa?
650
views
Domanda del libro di testo
A 50.0 g sample of solid CO2 (dry ice) is added at -100 °C to an evacuated (all of the gas removed) container with a volume of 5.0 L. If the container is sealed and then allowed to warm to room temperature 125 °C2 so that the entire solid CO2 is converted to a gas, what is the pressure inside the container?
1396
views
Domanda del libro di testo
A 334-mL cylinder for use in chemistry lectures contains 5.225 g of helium at 23 °C. How many grams of helium must be released to reduce the pressure to 7.60 MPa assuming ideal gas behavior?
764
views
Domanda del libro di testo

An aerosol spray can with a volume of 125 mL contains 1.30 g of propane gas (C3H8) as a propellant. (c) The can's label says that exposure to temperatures above 50 °C may cause the can to burst. What is the pressure in the can at this temperature?

1104
views