Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 49SEP
To determine
Which pairs of elements might be expected to have complete solid solubility in each other from the given table.
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Iron (Fe) undergoes an allotropic transformation at 912°C: upon heating from a BCC [ alpha phase) to a FCC (gamma phase). Accompanying thistransformation is a change in the atomic radius of Fe from R bcc= 0.12584 nm to R fcc= 0.12394 nm and, in addition, a change in density.Compute the percentage volume change per atom (Vfinal |-V initial |)/ (V; initial |) associated with this reaction . Indicate whetherthere is an expansion or zontraction taking place during the process
The force of attraction between a divalent cation and a monovalent anion is 8.02x10-9 N. If the ionic radius of the cation is 0.060 nm, (q=1.6x10-19 C, k0=9x109 V∙m/C). What is the anion radius?
Maximum solubility
in FCC austenite at
1147 °C is
2.04 wt%
2.14 wt%
14.2 wt% O
0.022 wt% O
Chapter 8 Solutions
Foundations of Materials Science and Engineering
Ch. 8.15 - Define (a) a phase in a material and (b) a phase...Ch. 8.15 - In the pure water pressure-temperature equilibrium...Ch. 8.15 - How many triple points are there in the pure iron...Ch. 8.15 - Write the equation for the Gibbs phase rule and...Ch. 8.15 - Refer to the pressuretemperature equilibrium phase...Ch. 8.15 - (a) What is a cooling curve? (b) What type of...Ch. 8.15 - Prob. 7KCPCh. 8.15 - What is an alloy? What is the difference between...Ch. 8.15 - Prob. 9KCPCh. 8.15 - What is the significance of the liquidus curve?...
Ch. 8.15 - Prob. 11KCPCh. 8.15 - Prob. 12KCPCh. 8.15 - Prob. 13KCPCh. 8.15 - Describe the mechanism that produces the...Ch. 8.15 - Can coring and surrounding occur in a...Ch. 8.15 - What is a monotectic invariant reaction? How is...Ch. 8.15 - Write equations for the following invariant...Ch. 8.15 - How are eutectic and eutectoid reactions similar?...Ch. 8.15 - Distinguish between (a) a terminal phase and (b)...Ch. 8.15 - Distinguish between (a) an intermediate phase and...Ch. 8.15 - What is the difference between a congruently...Ch. 8.15 - Consider an alloy containing 70 wt% Ni and 30 wt%...Ch. 8.15 - Consider the binary eutectic coppersilver phase...Ch. 8.15 - If 500 g of a 40 wt% Ag60 wt% Cu alloy is slowly...Ch. 8.15 - A lead-tin (PbSn) alloy consists of 60 wt%...Ch. 8.15 - A PbSn alloy (Fig. 8.12) contains 40 wt% and 60...Ch. 8.15 - An alloy of 30 wt% Pb70 wt% Sn is slowly cooled...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - In the copperlead (CuPb) system (Fig. 8.24) for an...Ch. 8.15 - For an alloy of Cu70 wt% Pb (Fig. 8.24), determine...Ch. 8.15 - What is the average composition (weight percent)...Ch. 8.15 - Consider an Fe4.2 wt% Ni alloy (Fig. 8.17) that is...Ch. 8.15 - Consider an Fe5.0 wt% Ni alloy (Fig. 8.17) that is...Ch. 8.15 - Determine the weight percent and composition in...Ch. 8.15 - Determine the composition in weight percent of the...Ch. 8.15 - Draw, schematically, the liquidus and the solidus...Ch. 8.15 - Consider the CuZn phase diagram of Figure 8.26. a....Ch. 8.15 - Consider the nickelvanadium phase diagram of...Ch. 8.15 - Consider the titaniumaluminum phase diagram of...Ch. 8.15 - What is the composition of point y in Figure...Ch. 8.15 - In Figure 8.12, determine the degree of freedom,...Ch. 8.15 - The cooling curve of an unknown metal shows a...Ch. 8.15 - In the PbSn phase diagram (Fig. 8.12), answer the...Ch. 8.15 - Based on the CuAg phase diagram in Figure P8.23,...Ch. 8.15 - Based on the PdAg phase diagram in Figure EP 8.3,...Ch. 8.15 - Prob. 49SEPCh. 8.15 - Derive the lever rule for the amount in weight...Ch. 8.15 - Based on the AlNi phase diagram given in Figure...Ch. 8.15 - Prob. 52SEPCh. 8.15 - Based on the Al2O3SiO2 phase diagram in Figure...Ch. 8.15 - (a) Design a CuNi alloy that will be completely...Ch. 8.15 - Prob. 55SEPCh. 8.15 - Given that Pb and Sn have similar tensile...Ch. 8.15 - Consider the sugarwater phase diagram shown in...Ch. 8.15 - In Figure P8.57, if 60 g of water and 140 g of...Ch. 8.15 - In Figure P8.57, if 30 g of water and 170 g of...Ch. 8.15 - At 80C, if the wt% of sugar is 80%, (a) what...Ch. 8.15 - (a) Based on the phase diagram in Figure P8.61,...Ch. 8.15 - Referring to Figure P8.61. explain what happens as...Ch. 8.15 - Referring to Figure P8.61, (a) explain what...Ch. 8.15 - Using Figure P8.40, explain what the phase diagram...Ch. 8.15 - Using Figure P8.40. explain why, according to the...Ch. 8.15 - (a) In the TiAl phase diagram. Figure P8.42, what...Ch. 8.15 - Draw an approximate hypothetical phase diagram for...Ch. 8.15 - Draw the hypothetical phase diagram for a binary...
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- Q3/ A- What are the important reactions in( Fe- C) system? B- Calculate the activation energy for vacancy formation in aluminum ,given that the equilibrium number of vacancies at 500°C is 7.57 x10 m.The atomic weight and density for aluminum are respectively, 26.98g /mol and 2.62 g/em.,Avogadros number ( 6.022x10 atoms/mol ), and Boltzmanns constant (8.62x10 ev /atom.K).?arrow_forwardFor austenitic stainless steel, Cu, and Al (all FCC metals): a. Calculate the actual magnitudes of the full and partial dislocations, assuming that the lattice parameters are 0.365 nm, 0.362 nm, and 0.405 nm, respectively. b. Calculate the equilibrium partial dislocation separation distance d for all three materials. c. Put the numbers from part (b) in context by comparing them to the atomic size (diameter) and lattice parameter for each material. d. In which of the three material(s) is wavy glide very likely to be observed?arrow_forwardVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597arrow_forward
- Show that Ni and Cu are totally soluble in one another using Hume-Rothery rules. Atomic radii, electronegativities and crystal structures of Ni and Cu are given below. Ni Cu Crystal Structure FCC FCC Electronegativities 1.9 1.8 r (nm) 0.1246 0.1278arrow_forwardVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm ? Given: Avogadro's Number NA = 0.6023 x 1024 (atoms/mole) Select one: O a, 0.021 O b. 0.011 Oc.1.5 d. 0.0087 e. 0.00597 Potassium (K) has the Body-Centered Cubic (BC) crystal structune. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction (01112 Select one: O ENG O O 0 00arrow_forwardIron exhibits an allotropic behavior change of solid state structure in such a way that when it is heated to 910 C it undergoes a structure change from body-centered cubic BCC to face-centered cubic FCC considering that the atomic radius of iron increases to 0.1241 nm or 0.126 nm more when said temperature is reached obtainThe volume change experienced by the structure when the temperature of 910 C is reachedarrow_forward
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- What is the composition in weight percent of an alloy that contains 98 g tin and 65 g lead? What is the composition in atom percent?arrow_forwardA NIO-20 mol % Mgo ceramic is allowed to solidify. (See the figure below.) Temperature (°C) 2800 2600 2400- 2200 2000 L (Ni, Mg)0 40 60 80 MgO Mole percent MgO NIO 20 (a) Determine the composition (in mol% MgO) of the first solid to form. 80 x (b) Determine the composition (in mol% MgO) of the last liquid to solidify under equilibrium conditions. 35 X%arrow_forwardWhat is the the dislocation energies relative to Fb = [111] for Fb = [110] in a bcc structure?arrow_forward
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