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Hydrogen is stored at 1 MPa pressure, at 400 °C, in a spherical steel vessel of 0.5 m radius. The wall thickness of the vessel is 10mm. Take the diffusion coefficient for hydrogen in iron at this temperature to be 10m²/s, and assume that the hydrogen concentration at the vessel walls is in equilibrium with the gas pressure acording to X(p) = 10 5V/p where X is the weight fraction of H in the steel, and p is the pressure in MPa. Develop an expression for the pressure in the vessel as a function of time, once pseudo-steady-state conditions are attained. Determine a value for the rate of pressure drop when the pressure in the vessel is still close to 1 MPa. Why does this problem involve a 'pseudo' steady state?

Hydrogen is stored at 1 MPa pressure, at 400 °C, in a spherical steel vessel of 0.5 m radius. The wall thickness of the vessel is 10mm. Take the diffusion coefficient for hydrogen in iron at this temperature to be 10m²/s, and assume that the hydrogen concentration at the vessel walls is in equilibrium with the gas pressure acording to X(p) = 10 5V/p where X is the weight fraction of H in the steel, and p is the pressure in MPa. Develop an expression for the pressure in the vessel as a function of time, once pseudo-steady-state conditions are attained. Determine a value for the rate of pressure drop when the pressure in the vessel is still close to 1 MPa. Why does this problem involve a 'pseudo' steady state?

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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2.3 Hydrogen is stored at 1 MPa pressure, at 400 °C, in a spherical steel vessel of 0.5 m radius. The wall thickness of the vessel is 10mm. Take the diffusion coefficient for hydrogen in iron at this temperature to be 10 m²/s, and assume that the hydrogen concentration at the vessel walls is in equilibrium with the gas pressure acording to X(p) = 10 ³√p where X is the weight fraction of H in the steel, and p is the pressure in MPa. Develop an expression for the pressure in the vessel as a function of time, once pseudo-steady-state conditions are attained. Determine a value for the rate of pressure drop when the pressure in the vessel is still close to 1 MPa. Why does this problem involve a 'pseudo' steady state?
Transcribed Image Text:2.3 Hydrogen is stored at 1 MPa pressure, at 400 °C, in a spherical steel vessel of 0.5 m radius. The wall thickness of the vessel is 10mm. Take the diffusion coefficient for hydrogen in iron at this temperature to be 10 m²/s, and assume that the hydrogen concentration at the vessel walls is in equilibrium with the gas pressure acording to X(p) = 10 ³√p where X is the weight fraction of H in the steel, and p is the pressure in MPa. Develop an expression for the pressure in the vessel as a function of time, once pseudo-steady-state conditions are attained. Determine a value for the rate of pressure drop when the pressure in the vessel is still close to 1 MPa. Why does this problem involve a 'pseudo' steady state?
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