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Carbon dioxide (CO2) can react with hydrogen gas (H2) to produce methane (CH4) and water vapor (H2O). A gas mixture of 100 mole/hr that contains 15 mole % of CO2, 40 mole % of H2, and balance nitrogen (N2) is fed into a reactor. If the extent of reaction is 12 mole/hr of the limiting reactant reacting. (a) Plot a diagram illustrating the process and write down the balanced chemical reaction. (b) What is the limiting reactant? What is the excess reactant? What is the % excess of the reactant that is fed in excess to the reactor? (c) What is the fraction conversion of the limiting reactant? (d) Calculate the number of moles of each species in the product stream. (e) Determine the mole fractions of the species in the product stream.

Carbon dioxide (CO2) can react with hydrogen gas (H2) to produce methane (CH4) and water vapor (H2O). A gas mixture of 100 mole/hr that contains 15 mole % of CO2, 40 mole % of H2, and balance nitrogen (N2) is fed into a reactor. If the extent of reaction is 12 mole/hr of the limiting reactant reacting. (a) Plot a diagram illustrating the process and write down the balanced chemical reaction. (b) What is the limiting reactant? What is the excess reactant? What is the % excess of the reactant that is fed in excess to the reactor? (c) What is the fraction conversion of the limiting reactant? (d) Calculate the number of moles of each species in the product stream. (e) Determine the mole fractions of the species in the product stream.

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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**Transcription for Educational Website** --- **Chemical Reaction and Analysis** Carbon dioxide (CO₂) can react with hydrogen gas (H₂) to produce methane (CH₄) and water vapor (H₂O). A gas mixture of 100 mole/hr that contains 15 mole % of CO₂, 40 mole % of H₂, and balance nitrogen (N₂) is fed into a reactor. If the extent of reaction is 12 mole/hr of the limiting reactant reacting, perform the following analyses: (a) Plot a diagram illustrating the process and write down the balanced chemical reaction. (b) Determine the limiting reactant and the excess reactant. What is the % excess of the reactant that is fed in excess to the reactor? (c) Calculate the fraction conversion of the limiting reactant. (d) Calculate the number of moles of each species in the product stream. (e) Determine the mole fractions of the species in the product stream. **Diagram and Balanced Chemical Equation** - A diagram should include inputs of CO₂, H₂, and N₂ into a reactor and the output of CH₄ and H₂O along with N₂. - Write the balanced chemical reaction: CO₂ + 4H₂ → CH₄ + 2H₂O **Tasks** 1. **Identify Limiting and Excess Reactants:** - Calculate amounts of CO₂ and H₂ entering and reacting. - Identify limiting reactant and calculate the excess amount of the other. 2. **Fraction Conversion:** - Determine how much of the limiting reactant reacts relative to its initial amount. 3. **Product Stream Composition:** - Use stoichiometry to find amounts of CH₄, H₂O, and unreacted materials. - Compute mole fractions for each product. This analysis helps in understanding chemical processing and material balances in reactor systems.
Transcribed Image Text:**Transcription for Educational Website** --- **Chemical Reaction and Analysis** Carbon dioxide (CO₂) can react with hydrogen gas (H₂) to produce methane (CH₄) and water vapor (H₂O). A gas mixture of 100 mole/hr that contains 15 mole % of CO₂, 40 mole % of H₂, and balance nitrogen (N₂) is fed into a reactor. If the extent of reaction is 12 mole/hr of the limiting reactant reacting, perform the following analyses: (a) Plot a diagram illustrating the process and write down the balanced chemical reaction. (b) Determine the limiting reactant and the excess reactant. What is the % excess of the reactant that is fed in excess to the reactor? (c) Calculate the fraction conversion of the limiting reactant. (d) Calculate the number of moles of each species in the product stream. (e) Determine the mole fractions of the species in the product stream. **Diagram and Balanced Chemical Equation** - A diagram should include inputs of CO₂, H₂, and N₂ into a reactor and the output of CH₄ and H₂O along with N₂. - Write the balanced chemical reaction: CO₂ + 4H₂ → CH₄ + 2H₂O **Tasks** 1. **Identify Limiting and Excess Reactants:** - Calculate amounts of CO₂ and H₂ entering and reacting. - Identify limiting reactant and calculate the excess amount of the other. 2. **Fraction Conversion:** - Determine how much of the limiting reactant reacts relative to its initial amount. 3. **Product Stream Composition:** - Use stoichiometry to find amounts of CH₄, H₂O, and unreacted materials. - Compute mole fractions for each product. This analysis helps in understanding chemical processing and material balances in reactor systems.
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