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Ch.10 - Gases: Their Properties & Behavior
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 142

A 5.00-L vessel contains 25.0 g of PCl3 and 3.00 g of O2 at 15 °C. The vessel is heated to 200.0 °C, and the contents react to give POCl3. What is the final pressure in the vessel, assuming that the reaction goes to completion and that all reactants and products are in the gas phase?

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1
Identify the balanced chemical equation for the reaction: \( \text{PCl}_3 + \text{O}_2 \rightarrow \text{POCl}_3 \).
Calculate the number of moles of \( \text{PCl}_3 \) and \( \text{O}_2 \) using their respective molar masses.
Determine the limiting reactant by comparing the mole ratio from the balanced equation with the calculated moles of reactants.
Use the stoichiometry of the reaction to find the moles of \( \text{POCl}_3 \) produced, which will be equal to the moles of the limiting reactant.
Apply the ideal gas law \( PV = nRT \) to calculate the final pressure, using the total moles of gas (\( \text{POCl}_3 \) produced) and the final temperature of 200.0 °C converted to Kelvin.

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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 final pressure in the vessel after the reaction, as it allows us to determine how changes in temperature and the number of moles affect the pressure of the gas mixture.
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Ideal Gas Law Formula

Stoichiometry of the Reaction

Stoichiometry involves the calculation of reactants and products in chemical reactions based on balanced equations. Understanding the stoichiometry of the reaction between PCl3 and O2 to form POCl3 is crucial for determining the moles of each substance before and after the reaction, which directly influences the final pressure.
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Stoichiometry Concept

Gas Phase Reactions

Gas phase reactions occur when reactants and products are in the gaseous state, allowing for the application of gas laws. In this scenario, recognizing that all substances are gases and that the reaction goes to completion is vital for accurately calculating the final pressure, as it affects the total number of moles present in the vessel.
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Phase Changes in Diagrams
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