Show me the steps to solve Homework Problem HW$6\_2$ Tabulation of Error Function Values

$\backslash$table$[[$z$,$erf$($z$),$z$,$erf$($z$),$z$,$erf$($z$)],[0,0,0\mathrm{.}55,0\mathrm{.}5633,1\mathrm{.}3,0\mathrm{.}9340],[0\mathrm{.}025,0\mathrm{.}0282,0\mathrm{.}60,0\mathrm{.}6039,1\mathrm{.}4,0\mathrm{.}9523],[0\mathrm{.}05,0\mathrm{.}0564,0\mathrm{.}65,0\mathrm{.}6420,1\mathrm{.}5,0\mathrm{.}9661],[0\mathrm{.}10,0\mathrm{.}1125,0\mathrm{.}70,0\mathrm{.}6778,1\mathrm{.}6,0\mathrm{.}9763],[0\mathrm{.}15,0\mathrm{.}1680,0\mathrm{.}75,0\mathrm{.}7112,1\mathrm{.}7,0\mathrm{.}9838],[0\mathrm{.}20,0\mathrm{.}2227,0\mathrm{.}80,0\mathrm{.}7421,1\mathrm{.}8,0\mathrm{.}9891],[0\mathrm{.}25,0\mathrm{.}2763,0\mathrm{.}85,0\mathrm{.}7707,1\mathrm{.}9,0\mathrm{.}9928],[0\mathrm{.}30,0\mathrm{.}3286,0\mathrm{.}90,0\mathrm{.}7970,2\mathrm{.}0,0\mathrm{.}9953],[0\mathrm{.}35,0\mathrm{.}3794,0\mathrm{.}95,0\mathrm{.}8209,2\mathrm{.}2,0\mathrm{.}9981],[0\mathrm{.}40,0\mathrm{.}4284,1\mathrm{.}0,0\mathrm{.}8427,2\mathrm{.}4,0\mathrm{.}9993],[0\mathrm{.}45,0\mathrm{.}4755,1\mathrm{.}1,0\mathrm{.}8802,2\mathrm{.}6,0\mathrm{.}9998],[0\mathrm{.}50,0\mathrm{.}5205,1\mathrm{.}2,0\mathrm{.}9103,2\mathrm{.}8,0\mathrm{.}9999]]$

Attemps Used $\frac{?}{8}=$

$20,2024,23$:$59$:$06$

Problem: Utilize the Tabulation Error Function Value Table from your Examination Booklet

Given Values$-$

Concentration of Nitrogen $($wt$\%)$: $=0\mathrm{.}25$

Position in $mm=5\mathrm{.}3$

Diffusion Coefficient for Nitrogen in Iron at $700C=5\mathrm{.}30E-1C$

Nitrogen in Iron Heat Treatment Time $($hours$)$: $=11$

Carburizing Time $($hrs$)$: $=10$

Alloy Case Depth $(mm)$:$=5$

Steel Alloy New Case Depth $($mm$)=9\mathrm{.}7$

Activation Energy $k\frac{J}{m}ol$:$=100$

$=$ Data for Probleoblem $3($Celsius$)$: $=839$

Temperature in $C$:$=598$

Diffusivity $(\frac{m^2}{s})=5\mathrm{.}87E-14$

Iemperature in $C$:$=70$

Diffusivity $(\frac{m^2}{s})=3\mathrm{.}91E-13$

Problem $1$: $$

Your Answer $=$

Problem $2$: $$

Your Answer

Problem $3$: $$

The activation energy for the diffusion of species A in metal B is listed above. Calculate the diffusion coefficient at the temperature listed, given that the value of D at $1110$ C is $6\mathrm{.}2{10}^{-11}\frac{m^2}{s}.$ Write your answer in scientific notation.

Your Answer $=1.$

Problem $4$: Part A

The diffusion coefficients for carbon in nickel are given at two temperatures above. Find the value of $D_{\text{@}}(\frac{m^2}{s})=$

Your Answer $=$

Problem $4$: Part B

The diffusion coefficients for carbon in nickel are given at two temperatures above. Find the value of $Qd(k\frac{J}{m}ol)$ :

Your Answer $=$

Problem $4$: Part C

What is the diffusivity, D$,$ at $820$ C $?$

Your Answer $=$