Question

--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 nm^{3}? Write your answers in
Engineering Notation.

Your Answer =

2) What is the atomic packing factor for the BCC crystal
structure?

Your Answer =

3) Find the theoretical density for the FCC Element shown above in
g/cm^{3}. Write your answer to the ten thousandths place
(0.0000):

Your Answer =

4) Calculate the atomic radius, in nm, of the BCC Metal above
utilizing the density and the atomic weight provided by examination
booklet - Write your answer with 4 significant
figures:

Your Answer =

5) Calculate the fraction of atom sites that are vacant for copper
(Cu) at the temperature provided above. Assume an energy for
vacancy formation of 0.90 eV/atom:

Your Answer =

6) Repeat the calculation in question 5 at room temperature (25
C):

Your Answer =

7) Calculate the energy (in eV/atom) for vacancy formation for the
Metal A and the equilibrium number of vacancies at the temperature
provided above - Write your answer with 4 significant
figures:

Your Answer =

8)Calculate the number of atoms per cubic meter in Metal B (units
atoms/m^{3}). Write your answer with 4 significant figures
:

Your Answer =

9) What is the composition, in atom percent, of an alloy that
contains a) 36 g Metal A and b) 47 g Metal B? Composition for Metal
A (%):

Your Answer =

10) What is the composition, in atom percent, of an alloy that
contains a) 36 g Metal A and b) 47 g Metal B? Composition for Metal
B (%):

Your Answer =

11) What is the composition of Metal A in atom percent, if the
alloy consists of 4.5 wt% Metal A and 95.5 wt% of Metal
B?

Your Answer =

12) What is the composition of Metal B in atom percent, if the
alloy consists of 4.5 wt% Metal A and 95.5 wt% of Metal
B?

Your Answer =

Answer #1

Releation between edge length and radius of atom for FCC = a = r√8

a = edge length

r = radius of atom

a = 0.116 nm x √8

volume = a^{3} = (0.116 nm x √8 )^{3} = 0.03532
nm^{3} = 3.53 x 10^{-2} nm^{3}

2.

atomic packing factor = volume of atoms in unit cell / total voulme of unit cell

relation between edge length and radius for BCC = a = 4r/√3

volume of unit cell = (4r/√3)^{3}

total no. of atoms in BCC inside unit cell = 2

volume of atoms inside unit cell = 2 x 4/3 x pi x
r^{3}

atomic packing factor = 2 x 4/3 x pi x r^{3} /
(4r/√3)^{3} = 0.6798 ~ = 0.68

3.

theoretical density = mass of atoms inside cell / volume of unit cell

in FCC there are 4 atoms inside unit cell = 4 x 197g / 6.022 x
10^{23} = 130.85 x 10^{-23} g

volume calculated in part 1 = 3.53 x 10^{-2}
nm^{3} = 3.53 x 10^{-2} x 10^{-21}
cm^{3}

density = mass / volume = 130.85 x 10^{-23} g / 3.53 x
10^{-2} x 10^{-21} cm^{3} = 37.06899
g/cm^{3}

please ask rest of them seperately thanks!

Below are listed the atomic weight, density, and atomic radius
for three hypothetical alloys at room temperature. For each
determine whether its crystal structure is FCC, BCC, or simple
cubic and then justify your answer.
Alloy
Atomic weight
Density
Atomic radius
(g/mol)
(g/cm3)
(nm)
A
195.08
21.45
0.139
B
209
9.32
0.335
C
55.85
7.87
0.124

1) For a metal that has the face-centered cubic (FCC) crystal
structure, calculate the atomic radius if the metal has a density
of (8.000x10^0) g/cm3 and an atomic weight of
(5.80x10^1) g/mol. Express your answer in
nm.
2) Consider a copper-aluminum solid solution containing
(7.82x10^1) at% Al. How many atoms per cubic centimeter
(atoms/cm^3) of copper are there in this solution?
Take the density of copper to be 8.94 g/cm3 and the
density of aluminum to be 2.71 g/cm3.

Consider a cube of chromium 1.00 mm on side. The atomic weight
of chromium is 52.0 g/mol and the atomic radius is .125 nm.
a. If the chromium cube at absolute zero temperature had a
perfect BCC crystal structure, calculate the number of chromium
atoms present in the cube.
b. If 1 electron volt (eV) is required to create a vacancy in
chromium, calculate the temperature at which one in every million
of the lattice sites is vacant.

A-What is the trend of atomic size in the periodic table and
why?
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crystal structure.
D-Calculate the atomic packing factor for FCC and BCC
structures
E-Compute the elongation due to thermal expansion of given
material.
F-Given the vacancy concentration, calculate
Evf
G-How can edge dislocation move? Draw illustrations.
H-Why are vacancies important to dislocation motions?
I-What is the mechanism...

If the atomic radius of a metal that has the simple cubic
crystal structure is (4.20x10^-1) nm, calculate the volume of its
unit cell (in nm^3). Use scientific notation with 3 significant
figures (X.YZ x 10^n). Note that Avenue automatically enters x10,
so you only need to enter X.YZ and n. Note: Your answer is assumed
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Problem: Utilize the Tabulation Error
Function Value Table from your Examination
Booklet.
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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...

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