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- 10.11/ A 1.5-kg specimen of a 90 wt% Pb-10 wt% Sn alloy is heated to 250°C (480°F), at which temperature it is entirely an a-phase solid solution . The alloy is to be melted to the extent that 50% of the speci- men is liquid, the remainder being the a phase. This may be accomplished either by heating the alloy or changing its composi- tion while holding the temperature con- stant. (a) To what temperature must the speci- men be heated? (b) How much tin must be added to the 1.5-kg specimen at 250°C to achieve this state? 10.15) A magnesium-lead alloy of mass 5.5 ka consists of a solid a phase that has a compo- sition that is just slightly below the solubility limit at 200°C (390°F). (a) What mass of lead is in the alloy? (b) If the alloy is heated to 350°C (660°F). how much more lead may be dissolved in the a phase without exceeding the solubility limit of this phase? 10.27 A hypothetical A-B alloy of composition 55 wt% B-45 wt% A at some temperature is found to consist of mass…Calculate the planer density of planes (0:-1:-1) for BCC, and FCC crystal structures?The coordinates, in units of a, of the atoms in a cubic P unit cell are (0,0,0), (0,1,0), (0,0,1), (0,1,1), (1,0,0), (1,1,0), (1,0,1), and (1,1,1). Calculate the structure factor Fhkl when all the atoms are identical. Where possible, simplify your expression by using einπ = (-1)n, as in Example 15B.1.
- Give answer to all parts?is the phase diagram of sulphur. At 95.4˚C, the densities of rhombic andmonoclinic sulphur are 2.07 g cm-3and 1.96 g cm-3, whilst the enthalpy change for thephase transition from rhombic to monoclinic sulphur is 0.3 kJ mol-1. i) How many triple points are there?ii) What is the most stable form of sulphur under normal conditions?iii) Describe what happens when sulphur at 1 atm is heated from 80˚C to 200˚C.iv) Determine the volume change ΔV for the transformation from rhombic tomonoclinic sulphur.v) Estimate the pressure at which rhombic and monoclinic sulphur coexist inequilibrium at a temperature of 373 K.The thermal and mechanical processing of materials is an important step in ensuring that they have the appropriate physical properties for their intended application. Suppose a metallic element undergoes a phase transit ion in which its crystal structure changes from cubic close-packed to bodycentredcubic. (a) Does it become more or less dense? (b) By what factor does its density change?
- 1) For a crystalline substance with a hexagonal unit cell, the distance interplanar d is given by the expression. Consider graphite, for which a = 0.247 nm and c = 0.679 nm. On a standardized diffractogram with Cu Kα radiation ((λ = 1.5418 Å)), where angle 2θ will be observed the Bragg 002 peak of graphite?Barium titanate (BaTiO3) is an ionic solid with a density of 6.02 g/cm3. Its structure is described by orthogonal basis vectors (i.e. at 90 degrees to each other) with lattice parameters of a = b = 0.3992 nm and c = 0.4036 nm.a) What crystal system does barium titanate belong to, based on the above information?Explain your answer. b) Find the number of Ba, O, and Ti atoms per cubic centimeter in barium titanate (i.e.provide a value for each element). c) Sketch and label the (111) plane of BaTiO3 with its atoms and dimensions.Whatistheheatenergyrequiredtoraisethetemperatureof3gramsofcopperfrom15 ̊Cto 20 ̊C?