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*launch*### Foundations of Materials Science and En...6th EditionSMITH Publisher: MCGISBN: 9781259696558

Foundations of Materials Science and En...

## Solutions for Foundations of Materials Science and Engineering

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A material is refers to a mixture of constituents or chemical constituent that institute an object....Law of multiple proportions: States that for different pure substances, each pure substance have...Write the expression to calculate mass of nickel (mNi). mNi=nNi×MNi (I) Here, number of moles of...Write the expression to calculate number of gram-moles of copper (nCu). nCu=mCuMCu (I) Here, molar...Write the expression to calculate number of gram-moles of manganese (nMg). nMg=mMgMMg (I) Here,...Write the expression to calculate energy of the electromagnetic radiation (E). E=hcλ (I) Here,...Write the expression to calculate energy of the photon emitted (E)....Write the expression for subsidiary quantum number. ℓ=n−1 (I) Here, the subsidiary quantum number is...There are certain number of sub-shells denoted by l that exist in any principal shell denoted by n....

The net force acting between two atoms is, Fnet=Fattraction−Frepulsion Refer Equation (2.8), Write...Write the equation to calculate the wavelength of the characteristic X-rays of the element (λ)....(a) Crystalline solid: A solid containing ordered, repeating and three-dimensional (3D) arrangement...Show the cubic direction [0 1 0] in the BCC unit cell as in Figure (1). Position coordinates: For...Show the direction vector in the FCC unit cell for the cubic direction [1¯ 1¯ 1] as in Figure (1)....Show the hexagonal crystal plane having Miller-Bravais indices of (1 0 1¯ 1) as in Figure (1).For plane a the intercepts are a1=∞, a2=−1, a3=1 and c=∞. For plane b the intercepts are a1=1, a2=∞,...For finding the Miller-Bravais direction indices we need coordinates of intercept of the plane. By...The coordinates of intercept (a1, a2, a3 and c) of the basal plane of the vectors originating at the...Draw the figure for the plane of (100). Figure-(1) Write the expression for the planer density of...Draw the figure for the plane of (100). Figure (1) Write the expression for the planer density of...Write the expression to calculate lattice constant of sodium chloride (a). a=2rCl−+2rNa+ (I) Here,...Show the solidification process of a pure metal as in Figure (1). In general, the solidification...Express the volume of critical size nucleus. V=43π(r∗)3 (I) Here, critical radius is r∗. Since...Express the volume of critical size nucleus. V=43π(r∗)3 (I) Here, critical radius is r∗. Since pure...Express the relative mass of silver. mAg=MAgN(%mAg) (I) Here, molecular mass of silver is MAg,...Express the at% of nickel. Ni%=NNiN×100% (I) Here, number of atoms of nickel is NNi and overall...Express the density of alloy. ρalloy=(wt%Cu)(ρCu)+(wt%Ni)(ρNi) (I) Here, density of copper and...Express mass of one Fe atom. mFe=MFeN (I) Here, atomic or molar mass of Fe is MFe and number of atom...Thermally activated process refer to the process that keep on processing not due to average effects,...Express the equilibrium concentration of vacancies per cubic meter in pure copper. nv=NCe−Ev/kT (I)...Express the equilibrium concentration of vacancies per cubic meter in pure copper. nv=NCe−Ev/kT (I)...Write the formula for lattice constant (a) of unit of FCC iron. a=4R2 (I) Here, the radius of the...It is given that the 1018 steel having 0.8 wt% at 1000 °C. It means that 0.8 g of carbon and 99.2 g...Alloying components are added to the liquid (fundamental) metal and permitted to dissolve. The...Write the expression for the initial cross sectional area of the wire. A0=π4d02 (I) Here, initial...Write the expression for initial area of the bar: A0=π4d02 (I) Here, initial diameter of the bar is...Write the expression for initial area of the bar: A0=π4d02 (I) Here, initial diameter of the bar is...Write the expression for the Schmidt’s law: τr=σcosλcosϕ …… (I) Here, τr is resolved shear stress ,...Write the expression for the Schmidt’s law: τr=σcosλcosϕ (I) Here, resolved shear stress is τr ,...Hall-Petch Equation: The Hall-Petch equation describes the strength of the metal as a combination of...Write the expression for the initial cross sectional area of the wire. A0=π4d02 (I) Here, initial...Write the expression for the stress acting in the rod. σ=FA0 …… (I) Here, applied force is F, and...Write the expression to determine the angle (θ) between the two planes....When a material undergoes plastic deformation, ductile fracture occurs. The characteristics of a...Write the expression to calculate stress amplitude. σa=(σmax−σmin)2 (I) Here, the stress amplitude...Write the expression for Potential energy stored in the hammer is, P.E1=m×g×h1 (I) Here, mass of...Write the expression of height of the hammer when it reached 120° from its initial position is,...Write the expression for the circumferential stress or hoop stress in cylindrical vessel. σ=Prt (I)...Write the expression for the critical length. a=1π×(KCγσ)2 (I) Here, the fracture toughness of the...Phase refers to the physical similarity and difference among the regions of a material. Phase in a...Express wt% of liquid. wt% liquid=40−7.952−7.9×100%=72.8%=0.728 Express wt% of proeutectic α. wt%...Refer Figure P8.28, and make a phase analysis at a temperature of 2600°C, i. Phases present or...Let the phase diagram of two elements A and B that are totally soluble in each other. Let the alloy...Refer Figure 8.27, for the composition of alloy Al2O3-55 wt% SiO2: At temperature of 1900°C, the...Express the number of moles in nickel. NNi=wtNi[1 molMNi] (I) Here, number of moles in nickel is...Refer Figure P8.42, "Ti–Al phase diagram", is presenting the formation or development of an...Raw pig iron is usually extracted from ores of iron oxide in a blast furnace in the presence of...Refer Figure 9.43, “Aluminum-rich end of aluminum-copper phase diagram”. Draw the plot with the...Polymer refers to the chemical terminology for a long chain molecules commonly made up of units of...Show the bonding structure of the polyacryonitrile, polybutadlene, and polystyrene as: Express the...Express the average molecular weight of the copolymer mer....Show the chemical structure bonding of polybutadiene and polystyrene as: Express the weight per cent...Show the chemical structure bonding of polyacrylonitrile and polybutadiene as: Express the weight...Express the first relaxation time. τ1=−tln(σ/σ0) (I) Express the second relaxation time....Ceramic materials: Ceramic materials are referred as type of materials which are inorganic and...Write the expression to calculate lattice constant of cesium bromide structure (a). a=23(rCs++RBr−)...Write the expression to calculate lattice constant of strontium oxide structure (a). a=2(rSr++RO2−)...Write the expression to calculate lattice constant of manganese oxide structure (a). a=2(rMn2++RO2−)...Write the expression to calculate lattice constant of zinc telluride structure (a)....Write the expression to calculate lattice constant of beryllium oxide structure (a)....Write the expression to calculate lattice constant of zirconium dioxide structure (a)....Write the expression to calculate lattice constant of cerium oxide structure (a). a=43(rCe4++RO2−)...Write the expression to calculate lattice constant of strontium tin oxide structure (a)....Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Composite material: Composite material is referred as a material system containing combination or...Write the expression to calculate mass of carbon fiber in the composite (mcf). mcf=ρcfVcf (I) Here,...Write the expression to calculate average density of the composite (ρc). ρc=ρcfVcf+ρerVerV (I) Here,...Write the expression to calculate the load on a material. P=σA (I) Here, stress on the material is...For the isostress conditions, the stress on the composite will be equal to stress on the matrix and...Write the formula for saturated surface dry density. SSDD=specific gravity×density of water=specific...Write the formula for saturated surface dry density. SSDD=specific gravity×density of water=specific...Write the expression to calculate strain on the composite (εcomp). εcomp=σcompEcomp Here, stress on...Write the equation for the rule of mixture for the ceramic-matrix composites....Write the expression to calculate strain on the composite (εcomp). εcomp=σcompEcomp Here, stress on...Write the equation for the rule of mixture for the composite material. Ec=EfVf+EmVm (I) Here,...Corrosion: It is the deterioration of materials. When the materials are exposed to atmosphere...Write the expression for corrosion current. I=wnFtM (I) Here, the corrosion mass is w, the corrosion...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for corrosion current. I=wnFtM (I) Here, the corrosion mass is w, the corrosion...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for the mass of the pit. w=ρAlVAl Here, density of aluminum is ρAl and volume...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the formula for Pilling-Bedworth (P.B.) ratio. P.B. ratio=volume of oxide produced by...In metals, the arrangement of the atoms in the crystal structure is kept together with the metallic...Write the expression for electrical conductivity, σT=σoexp[(−Eg2k)1TT] (I) Here, temperature is T,...Write the expression to calculate the concentration of holes. pp=Na−Nd ...... (I) Here,...Write the expression to calculate the concentration of holes. pp=Na−Nd ...... (I) Here,...Write the expression to calculate the concentration of majority charge carriers in a n-type...Write the expression to calculate the concentration of majority charge carriers in a p-type...Write the expression for the conductivity of GaAs at 300 K. σ300 K=niq(μn+μp) (I) Here, the...Write the expression for the conductivity of InSb at 300 K. σ300 K=niq(μn+μp) (I) Here, the...Write the expression for the conductivity of GaAs at 300 K. σ300 K=niq(μn+μp) (I) Here, the...Write the expression for the fraction of current carried by electrons. Fe=μnμn+μp (I) Here, the...Write the energy equation of radiation relating to its wavelength and frequency as follows:...Write the equation to calculate the minimum wavelength of the radiation (λ). λ=hcEg (I) Here, energy...Write the equation to calculate the wavelength of the radiation (λ). λ=hcEg (I) Here, energy band...Ferromagnetism: It is a property of metals to exhibit strong magnetic field surrounding them when...Write the expression to calculate saturation magnetization for nickel (Ms). Ms=(Atomic density)NμB...Write the expression to calculate saturation magnetization for cobalt metal (Ms). Ms=(Atomic...Write the expression to calculate saturation magnetization for gadolinium (Ms). Ms=(Atomic...Write the expression to calculate average magnetic moment for cobalt (N). N=MsμB(Atomic density) (I)...Write the expression to calculate saturation magnetization for nickel (Ms). Ms=(Atomic density)NμB...Write the expression to calculate saturation magnetization for gadolinium (Ms). Ms=(Atomic...Write the expression to calculate mass of iron in the metallic glass composition (mFe). mFe=nFeMFe...Write the expression to calculate saturation magnetization for the ferrite NiO⋅Fe2O3(Ms). Ms=(Atomic...Express the relation for isostrain model. ε=Pb+PlAbEb+AlEl (I) Here, strain in the bone and implant...Express the volume of wear debris created in a 10-year period using the equation of dimensional wear...

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Foundations of Materials Science and Engineering

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