4) Among the compounds MgCl2, Na2O, and ZnO, one has cations with cuboidal coordination, File Preview ther with octahedral coordination, and the other with tetrahedral coordination. Based on the ionic radii provided below, write the compound's chemical formula next to the appropriate cation coordination. (3 points) _cuboidal _octahedral tetrahedral Ion Radius (Å) Mg2+ 0.66 Zn2+ 0.74 Na+ 0.97 02- 1.32 Cl- 1.81

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Calculate the theoretical density of NiO, given that it has the rock salt crystal structure. You may want to use the table below. The atomic weights for Ni and O are 58.69 g/mol and 16.00 g/mol, respectively. Ionic Radius (nm) P = i Cation Fe²+ Ni²+ Mg2+ Mn2+ g/cm³ 0.077 0.069 0.072 0.067 Anion 0²- S²- Ionic Radius (nm) 0.140 0.184

A number of elements along with their crystal structures and atomic radii are listed in the following table. Which pairs might be expected to have complete solid solubility in each other? Crystal Atomic Crystal Structure Atomic Structure radius (nm) radius (nm) Silver Palladium FCC 0.144 Lead FCC 0.175 FCC 0.137 0.137 Tungsten Rhodium ВСС Copper Gold FCC 0.128 FCC 0.134 Platinum Tantalum FCC 0.144 FCC 0.138 Nickel FCC 0.125 ВСС 0.143 Aluminum Sodium FCC 0.143 Potassium ВСС 0.231 ВСС 0.185 Molybdenum ВСС 0.136

Convert the following Miller indices to directions and sketch the directions within a cubic unit cell: (a) [301] (b) [301] (c) [301] (d) [122] (e) [122] [122] (g) [111] (h) [T11] (1) [171] V) [117] Question 2: The change of SO, concentration with time is shown in Table 1. t(s) [C] 1.000000 100 0.778801 200 0.606531 300 0.472367 400 0.367879 500 0.286505 600 0.223130 800 0.135335 1000 0.082085 1200 0.049787 The process is governed by the rate law given by the equation: In(SO)-k1+ In (SO), Where k is the rate constant and is the time, and In is natural logarithm. By calculating the corresponding values of In [SO,] and plotting the graph of In [SO,] against time, r, determine the rate constant k of the reaction.

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The plot below shows bonding energy vs. interatomic separation for two elements. АВ a A. Which element would you expect to have a lower melting point? A B same can't tell provide a brief justification of your choice. B. Which element would you expect to have a smaller lattice constant? A В same can't tell provide a brief justification of your choice. C. Which element would you expect to have a larger elastic modulus? A justification of your choice. В same can't tell provide a brief can't tell provide a brief D. Which element would you expect to have the highest yield stress? justification of your choice. A В same Bonding energy

b. Given that Na = 6.022x1023 atoms/mol. Calculate the theoretical density of nickel. Show your calculations.

Solve this and show all of the calculations

4. Indices of direction. If [hkl] are indices of a set of directions relative to lattice vectors a, a, az and [h'k'l'] are the indices of same direction relative to lattice vectors af, as, a, obtain the relation between two sets of indices. Hence show that, if aj, as, az are lattice vectors for the conventional hexagonal unit cell and a, as, a refer to the orthorhobic cell of an hcp structure, then h' k' 0 0 1 200 110 80.0