Calculate the density of a cemented carbide, or cermet, based on a titanium matrix if the composite contains 50 wt% WC, 22 wt% TaC, and 14 wt% TiC. [Given that density of WC = 15.77 g/cm3, TiC = 4.94 g/cm3, TaC = 14.5 g/cm3]

4. Compare and contrast SC, BCC, FCC and HCP in terms of coordination number, number of atoms per unit cell and packing fraction.

hylon VII, a starch based substitute for polystyrene packing material, has a bulk density of 12.8 kg/m^3. how  many grams of the material are needed to fill a volume of 2.00ft^3

Some hypothetical alloy is composed of 25 wt% of metal A and 75 wt% of metal B. If the densities of metals A and B are 6.17 and 8.00 g/cm' respectively, whereas their respective atomic weights are 171.3 g/mol and 162 g/mol respectively, determine the crystalline structure of the alloy assuming a unit cell edge length of 0.332nm.

a) Draw rock salt unit cell of NaCl and give the coordinates (u,v,w) describing the positions of all the atoms in such a unit cell. b) Calculate the structure factor |F_hkl|^ 2 for such a unit cell for x-ray scattering from a given set of crystallographic planes (hkl). c) Which reflection peaks have the lowest and highest intensities and why

5. a. Would you expect Frenkel defects for anions to exist in ionic ceramics in relatively large concentrations? Why or why not? b. If the energy for Frenkel defect formation in Zno is 2.51 eV, calculate the number of Frenkel defects per cubic meter at 1000°C. Take the density of ZnO at 1000°C as 5.55 g/cm. The atomic weight of zinc is 65.41 g/mol and that of oxygen is 16.00 g/mol.

(a) Pure iron has a change in crystal structure from BCC to FCC when heating up above 912°C. If the atomic radius of an Fe atom is 0.124 nm, calculate the volumes of the FCC and BCC unit cells. (b)Recall that there are two atoms per BCC unit cell, and four atoms per FCC unit cell. With this information in mind, calculate the percent change in volume of a sample of pure Fe as it transforms from an FCC to a BCC structure upon cooling below 912°C. Specify if this percent change manifests as an increase or decrease in volume of the sample.

Consider we have a silicate glass composition, this composition as shown below in percent by weight 15Na₂O +5K₂O + 2.5MgO +9.5 CaO +6 BaO + 5Al₂O3 +57 SiO₂. First, convert this composition to mole percent. Then classify each oxide added to the glass according to Sun's bond criteria. According to this classification, is this composition make glass or not? Min MO K Mg Ca Al Si Valance 1 1 2 2 2 3 4 Dissociation energy per MOX (in Kcal.) 120 115 222 257 260 402 424 Coordination Number 6 9 6 8 8 4 4 Molecular weight of oxides is shown below Oksitier (Molekil Agri): NajO (61.97), K,0 (94.18), MgO (40.31), CaO (56.08), Bao (153.33), ALO, (1015), 50, (60.08) Single Bond Strength (Kcal/mole) 20 13 37 32 33 101 106

Please guve the step-by-step solution. Thank you in advance!

20. A unit cell has the dimensions a = 4 Å, b = 6 Å, c = 8 Å, x = ß = 90°, y = 120°. Determine: a) a*, b*, and c* for the reciprocal cell. b) The volume of the real and reciprocal unit cells. c) The spacing between the (210) planes. d) The Bragg angle 0 for reflection from the above planes.