MECH 210 – Materials Science and Engineering Problem Set 05, fall Semester 2008 Due Monday (10/13) 1.Calculate the number of vacancies per cubic millimeter in gold at 900°C. The energy for vacancy formation is 0.98 eV/atom. Furthermore, the density and atomic weight for Au are 18.63 g/cm3(at 900°C) and 196.9 g/mol, respectively. 2.Niobium forms a substitutional solid solution with vanadium. Compute the number of niobium atoms per cubic centimeter for a niobium-vanadium alloy that contains 24 wt% Nb and 76 wt% V. The densities of pure niobium and vanadium are 8.57 and 6.10 g/cm3, respectively. 3.Compute the magnitude of the Burger’s vector for a pure BCC iron at room temperature. 4.Given the photomicrograph of an alloy taken at a magnification of 200×, determine the ASTM grain size number. 5.Using the same photomicrograph in Problem 4, determine (a) the average grain size in millimeters and (b) the total grain boundary area ( in mm2) per cubic millimeter (mm3) using the intercept method.
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Chemical element, 0.2 kg, 3.5 mm, cubic millimeter