(a) What is the concentration of hydrogen at the low-pressure (or B) side in wt%? CH(B) = i 4.65E+3 wt% (b) What is the concentration of hydrogen at the high-pressure (or A) side in wt%? CH(A) = i 3.89E+2 wt%

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When α-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, \(p_{H_2}\) (in MPa), and absolute temperature \(T\) according to

\[
C_H = 1.34 \times 10^{-2} \sqrt{p_{H_2}} \exp\left(-\frac{27.2 \text{ kJ/mol}}{RT}\right)
\]

Furthermore, the values of \(D_0\) and \(Q_d\) for this diffusion system are \(4.0 \times 10^{-7} \text{ m}^2/\text{s}\) and 14 kJ/mol, respectively. Consider a thin iron membrane 1.4-mm thick that is at 204°C. Calculate the diffusion flux [in kg/(m\(^2\)-s)] through this membrane if the hydrogen pressure on one side of the membrane is 0.11 MPa, and on the other side 7.7 MPa, given that the density of iron is 7.87 g/cm\(^3\).
Transcribed Image Text:When α-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, \(p_{H_2}\) (in MPa), and absolute temperature \(T\) according to \[ C_H = 1.34 \times 10^{-2} \sqrt{p_{H_2}} \exp\left(-\frac{27.2 \text{ kJ/mol}}{RT}\right) \] Furthermore, the values of \(D_0\) and \(Q_d\) for this diffusion system are \(4.0 \times 10^{-7} \text{ m}^2/\text{s}\) and 14 kJ/mol, respectively. Consider a thin iron membrane 1.4-mm thick that is at 204°C. Calculate the diffusion flux [in kg/(m\(^2\)-s)] through this membrane if the hydrogen pressure on one side of the membrane is 0.11 MPa, and on the other side 7.7 MPa, given that the density of iron is 7.87 g/cm\(^3\).
(a) What is the concentration of hydrogen at the low-pressure (or B) side in wt%?
Cᴴ(B) = 4.65E+3 wt%

(b) What is the concentration of hydrogen at the high-pressure (or A) side in wt%?
Cᴴ(A) = 3.89E+2 wt%
Transcribed Image Text:(a) What is the concentration of hydrogen at the low-pressure (or B) side in wt%? Cᴴ(B) = 4.65E+3 wt% (b) What is the concentration of hydrogen at the high-pressure (or A) side in wt%? Cᴴ(A) = 3.89E+2 wt%
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**Problem Statement:**

(a) What is the concentration of hydrogen at the B face in kilograms of H per cubic meter?  
\[ C''_{\text{H(B)}} = \] [Input Field] kg/m³

(b) What is the concentration of hydrogen at the A face in kilograms of H per cubic meter?  
\[ C''_{\text{H(A)}} = \] [Input Field] kg/m³

**Description:**

This section contains two problems related to calculating the concentration of hydrogen at different faces of a structure, denoted as face A and face B. The concentrations are to be provided in kilograms per cubic meter (kg/m³).

**Instructions for Students:**

1. Examine any given data or results from prior calculations related to hydrogen diffusion or concentration differences.
2. Use appropriate formulas or models for calculating concentrations if required.
3. Enter your answers in the designated input fields for each respective face (A or B).
Transcribed Image Text:**Problem Statement:** (a) What is the concentration of hydrogen at the B face in kilograms of H per cubic meter? \[ C''_{\text{H(B)}} = \] [Input Field] kg/m³ (b) What is the concentration of hydrogen at the A face in kilograms of H per cubic meter? \[ C''_{\text{H(A)}} = \] [Input Field] kg/m³ **Description:** This section contains two problems related to calculating the concentration of hydrogen at different faces of a structure, denoted as face A and face B. The concentrations are to be provided in kilograms per cubic meter (kg/m³). **Instructions for Students:** 1. Examine any given data or results from prior calculations related to hydrogen diffusion or concentration differences. 2. Use appropriate formulas or models for calculating concentrations if required. 3. Enter your answers in the designated input fields for each respective face (A or B).
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