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, $P{H}_2($in Mpa$),$ and asbsolute temperature $($ T $)$ according to

$C_H=1\mathrm{.}34{10}^{-2}\sqrt[\phantom{2}]{P{H}_2}$exp$(-\frac{27\mathrm{.}2K\frac{J}{m}ol}{R}T)$

Consider a thin iron membrane with the thickness and temperature listed below. Calculate the flux in $(k\frac{g}{m^2-s})$ through this membrane if the hydrogen pressure on

one side of the membrane is $0\mathrm{.}17$ MPa $,$ and on the other side it is $6\mathrm{.}1$ MPa $,$ utilizing the densities provided by your examination booklet. Assume the values for $D_0$ is

$4\mathrm{.}9{10}^{-7}\frac{m^2}{s}$ and $Q_d$ is $13\mathrm{.}4K\frac{J}{m}ol.$

$--$Given Values$--$

Membrane Thickness $(mm)=4\mathrm{.}0$

Temperature in Celsius $=309$

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

Incorrect.

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

Incorrect.

Part C:

What is the concentration of hydrogen at the B face in kilograms of H per cubic meter $($Density for Hydrogen is $7\mathrm{.}87\frac{g}{c}{m}^3)?$ Write your answer in Engineering

Notation.

Your Answer $=$

Incorrect.

Part D: $$

What is the concentration of hydrogen at the A face in kilograms of H per cubic meter$($Density for Hydrogen is $7\mathrm{.}87\frac{g}{c}{m}^3??$ Write your answer in Engineering

Notation.

Your Answer $=2\mathrm{.}65$

Part E:

What is the concentration gradient $($C$/$X$)$ in kg$/$m$4?$ Write your answer as positive to the thousandth place.

Your Answer $=$

$15\mathrm{.}9$

Incorrect.

Part F:

Calculate the diffusion coefficient, D$,$ in m$2/$s at the specified temperature. Write your answer in Engineering Notation.

Your Answer $=$

$3\mathrm{.}975$E$-8$

Incorrect.

Part G:

Compute the diffusion flux in kg$/$m$2-$s$.$ Write your answer in Engineering Notation.

Your Answer $=$

$1\mathrm{.}35$E$-4$

Incorrect.