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question_answer1) The edge length of unit cell of a metal having molecular weight 75 g/mol is \[5\overset{o}{\mathop{A}}\,\] which crystallizes in cubic lattice. If the density is 2 g/cc and the radius of metal atom is 43.3 x pm. \[({{N}_{A}}=6\times {{10}^{23}}).\] Find the value of x.
question_answer2) In face centred cubic (fee) crystal lattice, edge length is 400 pm. The diameter of greatest sphere is 29.29 d pm which can be fit into the interstitial void without distortion of lattice. Find the value of d.
question_answer3) AB; crystallizes in a body centred cubic lattice with edge length 'a' equal to 387 pm. What is the distance between two oppositely charged ions in the lattice?
question_answer4) If calcium crystallizes in bcc arrangement and the radius of Ca atom is 96 pm, and the volume of unit cell of Ca is \[x\times {{10}^{-\,30}}\,{{m}^{3}}\]. Find the value of x
question_answer5) The radii of \[N{{a}^{+}}\] and \[C{{l}^{-}}\] ions are 100 pm and 200 pm respectively Calculate the edge length of NaCl unit cell.
question_answer6) CsBr has bcc structure with edge length\[4.3\overset{o}{\mathop{A}}\,.\] What is the shortest interionic distance \[(in\overset{o}{\mathop{A}}\,)\] between \[C{{s}^{+}}\] and \[B{{r}^{-}}\].
question_answer7) A metallic crystal crystallizes into a lattice containing a sequence of layers AB AB AB......Any packing of spheres leaves out voids in the lattice. What percentage of volume of this lattice is empty space?
question_answer8) A molecule \[{{A}_{2}}B\] (M wt. = 166.4) occupies triclinic lattice with a = 5\[\overset{o}{\mathop{A}}\,\], b = 8\[\overset{o}{\mathop{A}}\,\], and c = 4\[\overset{o}{\mathop{A}}\,\]. If the density of \[A{{B}_{2}}\] is \[5.2\,g\,c{{m}^{-\,3}}\], find the number of molecules present in one unit cell.
question_answer9) Consider the bcc unit cells of the solids 1 and 2 with the position of atoms are shown below. The radius of atom B is twice that of atom A. The unit cell edge length is 50% more in solid 2 than in 1. What is the approximate packing efficiency (in %) in solid 2?
question_answer10) Find the sum of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure.
question_answer11) Calculate the radius (in pm) of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell. (Given edge length is 100 pm)
question_answer12) CuCl has face centred cubic structure. Its density is \[3.4\text{ }g\text{ }c{{m}^{-\,3}}\]. What is the length of unit cell in \[\overset{{}^\circ }{\mathop{A}}\,\]?
question_answer13) Molybdenum forms body-centred cubic crystals whose density is \[10.3\text{ }g\,\,c{{m}^{-\,3}}\]. Calculate the edge length of the unit cell. The molar mass of Mo is \[95.94\text{ }g\text{ }mo{{l}^{-\,1}}\].
question_answer14) The density of mercury is 13.6 g/mL. Calculate approximately the diameter in A of an atom of mercury assuming that each atom is occupying a cube of edge length equal to the diameter of the mercury atom.
question_answer15) In the fluorite structure if the radius ratio is\[\left( \sqrt{\frac{3}{2}}-1 \right)\] how many total ions does each cation touch?
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