Question

**Problem:** Determine the carburizing time
necessary to achieve a carbon concentration listed below at a
position listed below into an iron-carbon alloy that initially
contains 0.11 wt% C. The surface concentration is to be maintained
at 1.2 wt% C, and the treatment is to be conducted at the
temperature listed below. Assume that Do = 6.2x10^{-5}
m^{2}/s and Q_{d} = 166 kJ/mol. Utilize the
**Tabulation Error Function Value Table** from your
Examination Booklet.

--Given Values--

Position (mm) = 3.7

Temperature in Celsius = 1251

Final Concentration (wt%C) = 0.41

**Part A:**

Calculate the Gaussian Error function, erf(z), from Ficke's Second Law Formula (Round your answer to the ten thousandths place, 0.0000)

Your Answer =

**Part B:**

Find the value for z utilizing the Error Function Table in your Examination Booklet. (Round your answer up to the tenthousandths place , 0.0000)

Your Answer =

**Part C:**

Calculate D, the diffusion coefficient, in m^{2}/s at
the specified temperature. Write your answer in Scientific
Notation.

Your Answer =

**Part D:**

What is the carburizing time in hours?

Your Answer =

Answer #1

Determine the carburizing time (in s) necessary to achieve a
carbon concentration of 0.44 wt% at a position 1.6 mm into an
iron-carbon alloy that initially contains 0.031 wt% C. The surface
concentration is to be maintained at 1.2 wt% C, and the treatment
is to be conducted at 1180°C. Assume that D0 =
5.1 x 10-5 m2/s and Qd
=154 kJ/mol. You will find the table below useful.
z
erf(z)
z
erf(z)
z
erf(z)
0
0
0.55
0.5633
1.3...

Determine the carburizing time (in s) necessary to achieve a
carbon concentration of 0.44 wt% at a position 1.9 mm into an
iron-carbon alloy that initially contains 0.031 wt% C. The surface
concentration is to be maintained at 1.2 wt% C, and the treatment
is to be conducted at 1020°C. Assume that D0 = 5.1 x 10-5 m2/s and
Qd =154 kJ/mol. You will find the table below useful.

Determine the carburizing time necessary to achieve a carbon
concentration of 0.30 wt% at a position 4 mm into an iron–carbon
alloy that initially contains 0.10 wt% C. The surface concentration
is to be maintained at 0.90 wt% C, and the treatment is to be
conducted at 1100°C. Use the diffusion data for γ-Fe in Table 5.2.
please show equations used and calculations thank you for your
help

Problem: Utilize the Tabulation Error
Function Value Table from your Examination
Booklet.
--Given Values--
Concentration of Nitrogen (wt%): = 0.38
Position in mm = 8.5
Diffusion Coefficient for Nitrogen in Iron at 700℃ = 9.70E-10
Nitrogen in Iron Heat Treatment Time (hours): = 13
Carburizing Time (hrs): = 10
Steel Alloy Case Depth (mm): = 3
Steel Alloy New Case Depth (mm) = 8.8
Activation Energy kJ/mol: = 107
Temperature for Problem 3 (Celsius): = 821
- = Data for...

Question: An iron-carbon alloy initially containing 0.308 wt% C
is exposed to an oxygen-rich and virtually ...
An iron-carbon alloy initially containing 0.308 wt% C is exposed
to an oxygen-rich and virtually carbon-free atmosphere at 1090°C.
Under these circumstances the carbon diffuses from the alloy and
reacts at the surface with the oxygen in the atmosphere; that is,
the carbon concentration at the surface position is maintained
essentially at 0.0 wt% C. At what position will the carbon
concentration be...

Directions: Additional information to complete these problems
can be found in your Examination Booklet. Write all Engineering
Notation to the tenth place only.
--Given Values--
Temperature 1 in Celsius = 803
Thickness of Palladium Sheet in mm = 2.4
Area of Palladium sheet (m2) = 0.33
Thickness of Sheet of Steel (mm) = 4.69
Diffusion Flux (kg/(m2-s)) = 6.26E-07
Temperature 2 in Celsius = 1049
Problem 1:
Calculate the value of the diffusion coefficient D (in
m2/s) at Temperature 1...

--Given Values--
Atomic Radius (nm) = 0.116
FCC Metal = Gold
BCC Metal: = Sodium
Temperature ( C ) = 1017
Metal A = Tin
Equilibrium Number of Vacancies (m-3) = 6.02E+23
Temperature for Metal A = 369
Metal B = Gallium
1) If the atomic radius of a metal is the value shown above and it
has the face-centered cubic crystal structure, calculate the volume
of its unit cell in nm3? Write your answers in
Engineering Notation.
...

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