Skip to main content
Ch.12 - Liquids, Solids & Intermolecular Forces
Tro - Chemistry: A Molecular Approach 5th Edition
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371Non è quello che usi tu?Cambia libro di testo
Capitolo 12, Problema 94

A sealed flask contains 0.55 g of water at 28 °C. The vapor pressure of water at this temperature is 28.35 mmHg. What is the minimum volume of the flask in order that no liquid water be present in the flask?

Guida verificata passo dopo passo
1
Convert the mass of water from grams to moles using the molar mass of water (18.02 g/mol).
Use the ideal gas law equation, PV = nRT, to find the volume. Here, P is the vapor pressure (converted to atm), n is the number of moles calculated in the previous step, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is the temperature in Kelvin (28 °C + 273.15).
Convert the vapor pressure from mmHg to atm by dividing by 760 mmHg/atm.
Convert the temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature.
Rearrange the ideal gas law equation to solve for V (volume): V = nRT/P, and substitute the known values to find the minimum volume of the flask.

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.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given temperature. It indicates the tendency of molecules to escape from the liquid phase into the vapor phase. In this question, the vapor pressure of water at 28 °C is 28.35 mmHg, which is crucial for determining the conditions under which all liquid water will evaporate.
Video consigliato:
Percorso guidato
02:40
Raoult's Law and Vapor 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 volume of gas produced from the evaporation of water in the flask. By knowing the number of moles of water vapor and the vapor pressure, we can determine the minimum volume required to ensure no liquid water remains.
Video consigliato:
Percorso guidato
01:15
Ideal Gas Law Formula

Molar Mass and Moles

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. For water, the molar mass is approximately 18.02 g/mol. Understanding how to convert grams of water to moles is necessary for applying the Ideal Gas Law and calculating the volume of vapor needed to prevent the presence of liquid water in the flask.
Video consigliato:
Percorso guidato
02:11
Molar Mass Concept