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Methane diffuses from a gas phase onto a catalytic surface where it undergoes the following reaction CH4 (g) → C(s) + 2 H₂ (g) Carbon is deposited on the catalytic surface and continuously brushed off, while hydrogen diffuses back into the gas phase. Across a thin film 5 mm in thickness concentration of methane inside the gas phase drops from 1 mole / m³ to 0.1 mol/m³ at the catalyst surface. The process is steady state. The temperature is 250 °C and pressure is 350 mm Hg abs. Under these conditions diffusivity of methane in hydrogen is 0.5 x 10-4 m²/s. Determine rate of decomposition of methane in mg per cm² of the catalyst surface in 24 hours.

Methane diffuses from a gas phase onto a catalytic surface where it undergoes the following reaction CH4 (g) → C(s) + 2 H₂ (g) Carbon is deposited on the catalytic surface and continuously brushed off, while hydrogen diffuses back into the gas phase. Across a thin film 5 mm in thickness concentration of methane inside the gas phase drops from 1 mole / m³ to 0.1 mol/m³ at the catalyst surface. The process is steady state. The temperature is 250 °C and pressure is 350 mm Hg abs. Under these conditions diffusivity of methane in hydrogen is 0.5 x 10-4 m²/s. Determine rate of decomposition of methane in mg per cm² of the catalyst surface in 24 hours.

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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Methane diffuses from a gas phase onto a catalytic surface where it undergoes the following reaction CH4 (g) › C(s) + 2 H₂ (g) Carbon is deposited on the catalytic surface and continuously brushed off, while hydrogen diffuses back into the gas phase. Across a thin film 5 mm in thickness concentration of methane inside the gas phase drops from 1 mole / m³ to 0.1 mol/m³ at the catalyst surface. The process is steady state. The temperature is 250 °C and pressure is 350 mm Hg abs. Under these conditions diffusivity of methane in hydrogen is 0.5 x 104 m²/s. Determine rate of decomposition of methane in mg per cm² of the catalyst surface in 24 hours. Please show the derivations in detail.
Transcribed Image Text:Methane diffuses from a gas phase onto a catalytic surface where it undergoes the following reaction CH4 (g) › C(s) + 2 H₂ (g) Carbon is deposited on the catalytic surface and continuously brushed off, while hydrogen diffuses back into the gas phase. Across a thin film 5 mm in thickness concentration of methane inside the gas phase drops from 1 mole / m³ to 0.1 mol/m³ at the catalyst surface. The process is steady state. The temperature is 250 °C and pressure is 350 mm Hg abs. Under these conditions diffusivity of methane in hydrogen is 0.5 x 104 m²/s. Determine rate of decomposition of methane in mg per cm² of the catalyst surface in 24 hours. Please show the derivations in detail.
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