Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 2KCP
In the pure water pressure-temperature equilibrium phase diagram (Fig. 8.1). what phases are in equilibrium for the following conditions: (a) along the freezing line, (b) along the vaporization line, and (c) at the triple point.
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The given figure shows the pressure-temperature phase diagram for H2O. Apply the Gibbs phase rule at points A,B, and C, and specify the number of degrees of freedom at each of the points, that is, the number of externally controllable variables that need to be specified to completely define the system.
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27.6, 31.2, and 33.5 wt% Ni respectively. The ends of the tie
line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha
phase/L phase ratio at C?
T(°C)
1300
1200
20
- L (liquid)
ABC
L + a
C1
30
S
liquidus
L + a
solidus
α
(solid)
40
a. Walpha=0.26; WL=0.38; Walpha/WL = 5.67
O b. Walpha=0.21; WL=0.33; Walpha/WL = 8.85
c. Walpha=0.32; WL=0.34; Walpha/WL = 8.94
O d. Walpha=0.18; WL=0.47; Walpha/WL = 7.56
50
wt% Ni
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27.3, 31.2, and 33.3 wt% Ni respectively. The ends of the tie
line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha
phase/L phase ratio at C?
T(°C)
1300
1200
20
L (liquid)
ABC
L+a
C1
Previous page
30
S
liquidus
L + a
solidus
α
(solid)
O a. Walpha=0.23; WL-0.38; Walpha/WL = 4.88
O b. Walpha=0.15; WL-0.47; Walpha/WL = 6.65
O c. Walpha=0.18; WL-0.33; Walpha/WL = 7.53
O d. Walpha=0.30; WL-0.34; Walpha/WL = 7.87
50
wt% Ni
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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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