Part $2$

X Be sure to review Section $5\mathrm{.}3.$ How can you use the density of iron to find the concentration of hydrogen in the alloy?

Review the previous step. Check your mathematics.

If you are having difficulty with this problem, you may wish to review:

Solving Equations

Equations, Symbols, and Units

Powers and Roots

$($a$)$ What is the concentration of hydrogen at the $B$ face in kilograms of H per cubic meter?

$C_{H(B)}^{\text{'}\text{'}}=$

$k\frac{g}{m^3}$

$($b$)$ What is the concentration of hydrogen at the A face in kilograms of H per cubic meter?

$C_{H(A)}^{\text{'}\text{'}}=,k\frac{g}{m^3}$ Part $3$

What is the concentration gradient $(\frac{C}{}x)$ in $k\frac{g}{m^4}?$

$\frac{C}{}x=$

$k\frac{g}{m^4}$

eTextbook and Media Part $4$

Calculate the diffusion coefficient, $D,$ in $\frac{m^2}{s}$ at the specified temperature.

$D=$

$\frac{m^2}{s}$

eTextbook and Media

Attempts: $0$ of $3$ usedPart $5$

Compute the diffusion flux in $k\frac{g}{m^2}-$s$.$

$J=$

$k\frac{g}{m^2}-s$

eTextbook and Media

Attempts: $0$ of $3$ usedWhen $-$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

$C_H=1\mathrm{.}34{10}^{-2}\sqrt[\phantom{2}]{p_{H_2}}$exp$(-\frac{27\mathrm{.}2\frac{kJ}{m}ol}{RT})$

Furthermore, the values of $D_0$ and $Q_d$ for this diffusion system are $4\mathrm{.}9{10}^{-7}\frac{m^2}{s}$ and $10k\frac{J}{m}ol,$ respectively. Consider a thin iron

membrane $1\mathrm{.}7-mm$ thick that is at $310C.$ Calculate the diffusion 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 $6\mathrm{.}6$ MPa $,$ given that the density of iron is $7\mathrm{.}87\frac{g}{c}{m}^3.$

Part $1$

Correct Answer $($Used$)$

$($a$)$ What is the concentration of hydrogen at the low$-$pressure $($or B$)$ side in wt$\%?$

$C_{H(B)}=$

$wt\%$

$($b$)$ What is the concentration of hydrogen at the high$-$pressure $($or $A)$ side in $wt\%?$

$C_{H(A)}=$