4. A batch combustion chamber is loaded with 151 moles of methane and 909 moles of air (21.0 mol % O₂). The methane combusts to form only carbon dioxide and water, but some methane may remain unburned. At interruption, the reactor contains 59.69 moles of O₂. a) Enter the correct stoichiometric coefficients. CH4 + b) Which reactant is limiting? 0₂- c) What is the extent of reaction at interruption? CO₂ +. d) How many moles of each species are present at interruption? _H₂O

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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### Problem Statement

A batch combustion chamber is loaded with 151 moles of methane and 909 moles of air (21.0 mol% O₂). The methane combusts to form only carbon dioxide and water, but some methane may remain unburned. At interruption, the reactor contains 59.69 moles of O₂.

#### Questions:

a) Enter the correct stoichiometric coefficients.

\[ \text{CH}_4 + \_\_ \text{O}_2 \rightarrow \_\_ \text{CO}_2 + \_\_ \text{H}_2\text{O} \]

b) Which reactant is limiting?

c) What is the extent of reaction at interruption?

d) How many moles of each species are present at interruption?

### Explanation:

For question (a), the task is to balance the combustion reaction of methane. The general reaction is:

\[ \text{CH}_4 + 2 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2\text{O} \]

For question (b), determine the limiting reactant by comparing the initial moles of CH₄ and available O₂ from air in the stoichiometry balanced equation.

For question (c), calculate the extent of the reaction given the remaining moles of O₂ are 59.69 mol. Use the stoichiometry of the balanced equation and initial moles to find the extent.

For question (d), calculate the remaining moles of each species (CH₄, O₂, CO₂, H₂O) using the extent of reaction and stoichiometric calculations.
Transcribed Image Text:### Problem Statement A batch combustion chamber is loaded with 151 moles of methane and 909 moles of air (21.0 mol% O₂). The methane combusts to form only carbon dioxide and water, but some methane may remain unburned. At interruption, the reactor contains 59.69 moles of O₂. #### Questions: a) Enter the correct stoichiometric coefficients. \[ \text{CH}_4 + \_\_ \text{O}_2 \rightarrow \_\_ \text{CO}_2 + \_\_ \text{H}_2\text{O} \] b) Which reactant is limiting? c) What is the extent of reaction at interruption? d) How many moles of each species are present at interruption? ### Explanation: For question (a), the task is to balance the combustion reaction of methane. The general reaction is: \[ \text{CH}_4 + 2 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2\text{O} \] For question (b), determine the limiting reactant by comparing the initial moles of CH₄ and available O₂ from air in the stoichiometry balanced equation. For question (c), calculate the extent of the reaction given the remaining moles of O₂ are 59.69 mol. Use the stoichiometry of the balanced equation and initial moles to find the extent. For question (d), calculate the remaining moles of each species (CH₄, O₂, CO₂, H₂O) using the extent of reaction and stoichiometric calculations.
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