Problem: When alpha-iron is subjected to anatmosphere of hydrogen gas, the concentration of hydrogen in theiron, CH (in weight percent), is a function of hydrogenpressure, PH2 (in Mpa), and asbsolute temperature (T)according to
CH= 1.34 X 10-2sqrt(PH2) exp(- (27.2KJ/mol) / RT)
Consider a thin iron membrane with the thickness and temperaturelisted below. Calculate the flux in (kg/(m2-s)) throughthis membrane if the hydrogen pressure on one side of the membraneis 0.17 MPa, and on the other side it is 6.1MPa, utilizing thedensities provided by your examination booklet. Assume the valuesfor D0 is 4.9x10-7 m2/s andQd is 13.4KJ/mol.
--Given Values--
Membrane Thickness (mm) = 4.0
Temperature in Celsius = 383
Part A:
What is the concentration of hydrogen at the low - pressure (orB) side in wt%? Write your answer in Engineering Notation.
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Part B:
What is the concentration of hydrogen at the low - pressure (orA) side in wt%? Write your answer in Engineering Notation.
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Part C:
What is the concentration of hydrogen at the B face in kilogramsof H per cubic meter (Density for Hydrogen is 7.87g/cm3)? Write your answer in Engineering Notation.
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Part D:
What is the concentration of hydrogen at the A face in kilogramsof H per cubic meter(Density for Hydrogen is 7.87g/cm3?? Write your answer in Engineering Notation.
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Part E:
What is the concentration gradient (C/X) in kg/m4?Write your answer as positive to the thousandthplace.
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Part F:
Calculate the diffusion coefficient, D, in m2/s atthe specified temperature. Write your answer in EngineeringNotation.
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Part G:
Compute the diffusion flux in kg/m2-s. Write youranswer in Engineering Notation.
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