Question

Your company has received a shipment of metal bars to be used in the production of gear shafts. Unfortunately, the supply company lost the identifying information for the metal and so the metal is unknown. Your boss has tasked you, the duty engineer, with identifying the mystery metal. Using X-ray diffraction, you determine that the crystal structure is BCC and you determine that the lattice parameter is 316.5 Å. Additionally, using Archimedes method, you determine the 3 density is 19.25 g/cm . With this information, determine the metal the bars are made of.

Answer 1

Criverin Density of Material (8) = 19. 25 8/3 B.C.C Latice forametes te side of vrit cell @ : 316.5 1° e 3165110m for Bcc unit cell (ory (316-57168 Noo of effective Atom (2) = 8 + 1 2 + 1) = 2 atom Solo: NA (Avogadro's M (Ranu) = Atomic mass of let, is Hunses) = 6.028+103 Lel Metal we have mass density. 19 Zx volume of unit cell ) 98- Р [316.5*100] 3 2 x (1 123 19.25 -17 (3.1704+10 x (6.022 +10 +19.25 = 2x1 M = 183.7 x 16 AMU@ 30 nie. such a low voive is not possible, 7150, if for obşerne the data of letice Palomety 9=316.54 which seeme that • Inoppropriate because of by large approprate valve shoved be will find Mol. Mass (11) = 183.7 Amy which is the value of And Autungosten Its Then you 9= 3,1640