(a) Why is the carbon concentration in austenite (y-Fe) higher than in ferrite (a-Fe)? (b) Determine the volume change accompanied by the transformation of y-Fe (FCC) to a-Fe (BCC) during cooling. Note that the atomic radii for a-Fe, y-Fe, and C are 0.124nm, 0.127mm, and 0.077mm, respectively.

(a) Why is the carbon concentration in austenite (y-Fe) higher than in ferrite (a-Fe)? (b) Determine the volume change accompanied by the transformation of y-Fe (FCC) to a-Fe (BCC) during cooling. Note that the atomic radii for a-Fe, y-Fe, and C are 0.124nm, 0.127mm, and 0.077mm, respectively.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 806°C. The energy for…

Q: Use the atomic radii of scandium, yttrium, lanthanum, and lutetium to answer the questions below.a.…

A: a. In lanthanum electrons are added in the 4f orbitals which shield the electrons in the 6s orbital…

Q: Explain in detail the factors that control solubility ranges in alloys. Based on these factors,…

A: The maximum amount of one element that can dissolve in another element while maintaining a…

Q: Calculate the number of Frenkel defects per cubic meter in zinc oxide at 939°C. The energy for…

Q: In FCC iron-carbon atoms enter the lattice (a)/(b) sites to form austenite, and in BCC iron, carbon…

A: a) In FCC austenite phase of steel, interstitial carbon occupies tetrahedral sites due to its…

Q: Compute for the composition, in atom percent, of an alloy that consists of 92.5 wt% Ag and 7.5 wt%…

A: Consider the alloy sample has a mass of 100 g. Then according to the problem, the 100 g alloy sample…

Q: For a hypothetical material, experiments show that a sample containing 1 billion atoms has 40…

A: Given; Number of atoms (N) @600° C is 1 billion (1×109 ) Numbers of vacancies (Nv) @600° C is 40…

Q: Silver Ag has the fcc crystal structure as shown in the figure below. Determine its atomic packing…

Q: What is the composition in weight percent of an alloy that contains 98 g tin and 65 g lead? What is…

A: weight of the alloy (98+65)=163g weight percentage of Tin=(98/163)x100=60.12 %…

Q: 4. Calculate the fraction of vacant lattice sites for pure copper at 1080°C. The value of the…

A: Temperature T = 1080 C = 1080+273 = 1353 K

Q: (6) For an aluminum alloy under constant load, the creep rate increased by a factor of 2 when the…

Q: QI / There are three alloys ( A,B ,C) have atomic wieght, desity, and atomic radus as listed in…

A: Data given- RA = 0.125 nm = 1.25 × 10-8 cm RB = 0.133 nm = 1.33 × 10-8 cm RC =0.142 nm = 1.42…

Q: Consider the ReO3 unit cell shown below, with a = 3.74 Å and ∆ Hsub = 626 kj/mol (a) What is the…

A: Solution: Given Data: a=3.74 Ao∆Hsub=626 kJ/mol To Find: (a) What is the Bravais lattice and…

Q: For a hypothetical material, experiments show that a sample containing 1 billion atoms has 40…

A: Given Data T=6000c = T=600+273=873k N=number of atomic sites per cubic meter = 1x109 atoms/m3…

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 749°C. The energy for…

A: No. of vacancies per cubic meter = ?temperature = 749°cenergy formation = 0.84 eV/atomdensity = 8.18…

Q: The magnesium-lead alloy was cooled from 600°C to 450°C. Microstructures are composed of initial…

A: Given:- Alloy cooled 600°C to 450°C Factor=0.28 To find:- Composition of alloy

Q: The crystal structure of austenite is?

A: It is required to state the crystal structure of austenite phase.

Q: Lead has FCC crystal structure. If the atomic weight of Pb is 207.2 g/mol and density of 11.36…

A: It is required to determine atomic radius of Pb

Q: alculate the number of vacancies per m3 for gold at 900 C. the energy for vacancy formation is 0.86…

A: Given Temperature, T = 900oC = 1173 K Vacancy formation = 0.86 eV/atom Find Number of vacancies

Q: Aluminum forms an FCC structure and has an atomic radius of 0.143 nm. Calculate the theoretical…

A: Answer: The theoretical density of aluminum metal in the unit cell is 2.71 g/cm3.

Q: Consider the following face-centered-cubic dislocation reaction: (110) [21]+(121) 2 (a) Given [b]= z…

A: The Initial dislocation is,u = 1, v= 1 and z =0.Therefore,

Q: A polypropylene specimen has a mass of 28 kg and density of 1.65x103 kgm-3 . Determine the…

Q: Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M…

Q: A carbon steel contains 87.3 % of ferrite room temperature. Calculate the carbon content of the…

Q: ubic (b) face-centred cubic (c) close-packed hexagon

A: given: The crystal structure of aluminium is (a) body-centred cubic (b) face-centred cubic (c)…

Q: It is the structure of metals wherein atoms are located at each corners and centers of all cube…

A: GIVEN DATA- A MCQ GIVEN OF MATERIAL SCIENCE SUBJECT WE HAVE TO TELL WHICH TYPE OF CUBIC STRUCTURE…

Q: Column A Column B Increasing thickness of alumina Hardness Column A Column B Increase in atomic…

A: 1) increase in thickness of the lamina DECREASE the hardness. 2)Increase in atomic packing factor…

Q: Calculate the fraction of atom sites tha

A: Need to find fraction of atom site.

Q: Iron exhibits an allotropic behavior change of solid state structure in such a way that when it is…

Q: Question 2. HfO2 has the CaF2 crystal structure. Calculate the density of HfO2 in kg/m³ if the ionic…

Q: Consider the concept of elastic modulus at the atomic level and the inclusion of impurity in a metal…

A: Elastic modulus or modulus of elasticity is the property of the material and is given as the ratio…

Q: In a binary Fe-Fe3C system, what is the transformation that occurs when cooling an austenistic…

A: Given: The carbon percentage = 2% The temperature of austenite mixture, T = 1100 C The eutectoid…

Q: Calculate the number of vacancies per cubic meter at 1000°C for a metal that has an energy for…

A: Given Temperature = 1000o C Energy = 1.22 eV/atom Density = 6.25 g/cm3 Atomic weight = 37.4 g/mol To…

Q: Problem 2. (a) Calculate the fraction of atom sites that are vacant for copper (Cu) at its melting…

A: To determine:a)Fraction of atom sites that are vacant for cu at its melting pointb)Fraction of atom…

Q: Suppose one has measured the lattice parameter a of face-centred cubic (fcc)-Fe as a function of the…

A: Use the tie-line rule as the most convenient method. According to this method, the volume of the…

Question

100%

(a) Why is the carbon concentration in austenite (y-Fe) higher than in ferrite (a-Fe)?
(b) Determine the volume change accompanied by the transformation of y-Fe (FCC) to a-Fe
(BCC) during cooling. Note that the atomic radii for a-Fe, y-Fe, and C are 0.124nm,
0.127mm, and 0.077mm, respectively.
(HINT: Because the number of atoms in FCC and BCC differs, consider volume per atom in
the calculation of volume change).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: To find and given

VIEW

Step 2: Solution of subpart (a)

VIEW

Step 3: Solution of subpart (b)

VIEW

Solution

VIEW

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Given that the expression for the equilibrium concentration of point defects are similar for pure metals, will there be identical amount of vacancies and (self-) interstitial atoms at room temperature? Justify your answer
The spacing of adjacent atoms in a NaCl crystal is 0.282 nm, and the masses of the atoms are 3.82*10-26 kg (Na) and 5.89*10-26 kg (CI). Use this information to calculate the density of NaCl. p= kg/m³
Write down the Miller-Bravais index of the a-plane of the HCP Zn pure metal and draw the atomic arrangement of the a-plane cross-section with reference to the FCC example below.
Iron(Fe) is unusual in that it transforms from a BCC to an FCC structure at high temperature. Calculate the ratio of the densities of FCC-iron and BCC-iron . find the value of the expression shown
Determine the miller indices of HCP for the plane shown below? ja2 (c)
A metal has a certain fraction f = 105 of vacancies at the atomic level at finite temperatures. If the activation energy for vacancy formation was increased by 50%, what would be the new vacancy concentration? Select one: a. 7.43E-10 b. 6.22 E-5 C. 1.24E-6 O d. 3.16E-8 e. 5.48E-4
Parvinbhai
Which of the following statements are true of dislocations: Select one or more: a. Dislocations are spatially fixed defects b. Dislocations arise due to insertion of a foreign atom into a lattice site of a “host” metal c. Dislocations can be viewed without the aid of a microscope d. Dislocations enable plasticity in metals e. Dislocations can arise due to shear deformation of the lattice
Estimate the density of platinum and lead from their lattice parameters at room temperature. Both are FCC. Compare the theoretical density with experimental values. Which is closer? Why? For platinum A=192.09, Avogadro number =6.02x1043, a=3.9239 Angstrom. Experimental density of Pt = 21.47. For lead A=207.2, and a=4.9502Angstrom.
Calculate the number of vacancies/cm³ are expected in copper at 831 °C. The energy for vacancy formation is 19910 cal/mol. Cu properties are: 29, FCC, 3.6151Ả, 63.54 g/mol, 8.93 g/cm³. Answer is 1018 yаcancies/ст3
(a) Describe with illustration, TWO (2) possible point defects that can occur in metal alloying elements. (b) Nickel and boron are to be diffused into an FCC iron metal during surface treatment. The diffusion process begins at the same time for both nickel and boron atoms. Identify with justification which metal atom diffused at a higher rate during the process. Table 2: Atom and crystal characteristic Atomic radius Crystal Structure Electronegativity Element Ni 0.1246 FCC +2 0.085 Rhombohedral +3 Fe 0.124 FCC +2 C 0.071 НСР +4
O f.0.47 g. 0.59 Oh.0.41 Clear my choice Silver (Ag) has the FCC crystal structure. The atomic radius is R = 0.144 nm and the atomic mass is M = 107.87 g/mole. What is the density of Silver in g/m7 Given: Avogadro's Number NA = 0.6023 x 10 (atoms/mole) Select one: Ca 10.6x10 o10.6x10 Cc.10.6-10 Gd.10.6x10 Oe 1060 Calcium (Ca) hashe Face-Certered Cubic (FCC) crystal strucure.The edge length is a = 0.548 nm. What is the linear density in atoms/nm along direction [100]?