Question

Problem: When alpha-iron is subjected to an atmosphere of hydrogen gas, the concentration of hydrogen in the iron, C_H (in weight percent), is a function of hydrogen pressure, PH₂ (in Mpa), and asbsolute temperature (T) according to

C_H= 1.34 X 10^-2 sqrt(PH₂) exp(- (27.2KJ/mol) / RT)

Consider a thin iron membrane with the thickness and temperature listed below. Calculate the flux in (kg/(m²-s)) through this membrane if the hydrogen pressure on one side of the membrane is 0.17 MPa, and on the other side it is 6.1MPa, utilizing the densities provided by your examination booklet. Assume the values for D₀ is 4.9x10^-7 m²/s and Q_d 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 (or B) side in wt%? Write your answer in Engineering Notation.

        Your Answer =

Part B:

What is the concentration of hydrogen at the low - pressure (or A) side in wt%? Write your answer in Engineering Notation.

        Your Answer =

Part C:

What is the concentration of hydrogen at the B face in kilograms of H per cubic meter (Density for Hydrogen is 7.87 g/cm³)? Write your answer in Engineering Notation.

        Your Answer =

Part D:

What is the concentration of hydrogen at the A face in kilograms of H per cubic meter(Density for Hydrogen is 7.87 g/cm³?? Write your answer in Engineering Notation.

        Your Answer =

Part E:

What is the concentration gradient (C/X) in kg/m⁴? Write your answer as positive to the thousandth place.

        Your Answer =

Part F:

Calculate the diffusion coefficient, D, in m²/s at the specified temperature. Write your answer in Engineering Notation.

        Your Answer =

Part G:

Compute the diffusion flux in kg/m²-s. Write your answer in Engineering Notation.

        Your Answer =

Answer 1