Problem: When alpha$-$iron is subjected to an atmosphere of hydrogen gas, the concentration of hydrogen in the iron, CH $($in weight percent$),$ is a function of hydrogen pressure, PH$2($in Mpa$),$ and absolute temperature $($T$)$ according to

CH$=1\mathrm{.}34$ X $10-2$ sqrt$($PH$2)$ exp$(-(27\mathrm{.}2$KJ$/$mol$)/$ RT$)$

Consider a thin iron membrane with the thickness and temperature listed below. Calculate the flux in $($kg$/($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 $4\mathrm{.}9$x$10-7$ m$2/$s and Qd is $13\mathrm{.}4$KJ$/$mol$.$

$--$Given Values$--$

Membrane Thickness $($mm$)=4\mathrm{.}5$

Temperature in Celsius $=336$

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 $7\mathrm{.}87$ g$/$cm$3)?$ 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 $7\mathrm{.}87$ g$/$cm$3??$ Write your answer in Engineering Notation.

Your Answer $=$

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

Your Answer $=$

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

Your Answer $=$

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

Your Answer $=$