Determine the relative amounts (in terms of volume fractions) for a 52.0 wt% Pb-48.0 wt% Mg alloy at 425°C. The densities of lead and magnesium at 425°C are given as follows: PPb = 10.96 g/cm³ PMg = 1.68 g/cm³ You may also want to use Animated Figure 9.20. Vα = VMg2Pb =

A copper-nickel alloy contains 38% by weight of Cu and 62% by weight of Ni and is at 1330 ° C. Using the figure, answer the following questions:a) What is the percentage by weight of copper in the solid and liquid phases at this temperature?b) What percentage by weight of the alloy is liquid and what percentage is solid?

Consider 1 kg of tin-bismuth alloy (Sn-Bi) containing 40 wt% Bi. The phase diagram of the alloy is shown in the figure below. The alloy is cooled to 138 "C (just below the eutectic temperature). How many kilograms of phase B form? 300 271°C 232°C 200 Bi + L В +L 139 C 21 100 Bi - В + Bi 13°C vate Windows 100gs to activate Windows (Bi) 20 40 60 80 (Sn) 6:37 PM A 4) ENG 57 B. Temperature (°C)

Please solve this question. Thank you very much

For alloy of two hypothetical metals A and B, there exist an a, A-rich phase and a B, B-rich phase. For alloys of two different overall compositions at 25°C, the weight fractions of Wa and WB are listed in the table. Determine the solubility limits for both a and B phases at 25°C. Alloy Composition Wa WB 70wt% A-30wt% B 0.78 0.22 35wt% A-65wt% B 0.36 0.64

Calculate the concentration of monovacancies in gold at 1,000 K, knowingthat Hf = 1.4 × 10−19 J. If the gold is suddenly quenched to ambienttemperature, what will be the excess vacancy concentration?

At what temperature does the first liquid phase form at 90% Ni? T(°C) 1600 1500 1400 1300 1200 1100 1000, L (liquid) L+α solidus liquidus 80 100 20 40 60 80 wt% Ni

QUESTION 3: Consider 2 kg of tin-bismuth alloy (Sn-Bi) containing 30 wt% Bi. The phase diagram of the alloy is shown in the figure below. The alloy is cooled to 138 °C (just below the eutectic temperature). 300 271°C 232°C L 9 200 Bi +L B +L 139°C 21 57 100 Bi B + Bi 13°C 20 40 60 80 100 (Sn) (Bi) Composition (wt% Bi) a) What is the proeutectic phase? b) How many kilograms of total phase B and Bi form? c) How many kilograms of the proeutectic phase form? d) How many kilograms of the eutectic phase B and eutectic phase Bi form? e) Schematically sketch and label the resulting microstructure. Temperature (°C)

Question 1Helium gas is contained in a cylinder by a gas-tight piston which can beassumed to move without friction. The gas occupies a volume of 1 x 10^-3m^3 temperature of 300K and a pressure of 1 x 10^5 Pa.(a) Calculate :i.the number of helium atoms in the container,ii.the total KE of the helium atoms(b) Energy is now supplied to the gas in such a way that the gas expands andthe temperature remains constant at 300K. State, and explain what changes, if any, will have occurred in the following quantities :i. The internal energy of the gasii. The root-mean-square speed of the helium atomsiii. The density of the gas.(Given : Boltzmann's constant = 1.38 x 10^23 JK^-1)

1 Al-Li Aerospace Alloys When a small amount of Li is added into Al to create an Al-Li alloy, the two elements typically do not mix homogeneously. Instead, most of the material is nearly-pure Al, while some small regions are Li-rich.¹ (These small regions are called precipitates and they are responsible for giving Al-Li alloys much better properties for aerospace applications relative to pure Al. We'll learn more about the alloying process and about precipitates later in the course.) The Li-rich regions have the chemical formula Al3Li and belong to the cubic crystal system.² In the unit cell, the Li atoms are located at 000, while the Al atoms are located at 110, 101, and 01121. (a) Draw the unit cell of Al3Li. (b) Which of the crystal structures from Callister Chapter 3 does this resemble? Why do we not call it that structure? (c) Given that the lattice parameter is 0.401 nm, what is the density of Al3Li?