Question

In: Chemistry

For each of the questions below, choose the correct answer from the choices indicated (a), (b),...

For each of the questions below, choose the correct answer from the choices indicated (a), (b), (c) or (d).

(1) Assuming one atom per lattice point, a Simple Cubic structure when heated transforms to a Body Centered Cubic (BCC) structure. Assuming that the atomic radii remain the same, its mass density will increase by: (a) 30%; (b) 9%; (c) 4%; (d) 23%.

(2) Assuming one atom per lattice point, a Simple Cubic (SC) structure when heated transforms to a Face Centered Cubic (FCC) structure. Assuming that the atomic radii remain the same, its volume will decrease by: (a) 4%; (b) 9%; (c) 23%; (d) 29%.

(3) A Face Centered Close Packed (FCP) structure when heated transforms to a Hexagonal Close Packed (HCP) structure. Assuming that the atomic radii remain the same, its mass density will decrease by: (a) 9%; (b) 4%; (c) 30%; (d) 0%.

(4) A hypothetical AX type ceramic material has density of 2.65 g/cc and cubic structure with edgle length of 0.43 nm. The atomic weights of A and X elements are 86.6 and 40.3 g/mol respectively. The, AX has crystal structure similar to: (a) CsCl; (b) CaF2; (c) ZnS; (d) NaCl.

(5) Given the ionic radii: Na1+ = 0.102 nm and F1- = 0.133 nm, what is the ionic packing factor of NaF? (a) 52%; (b) 76%; (c) 72%; (d) 68%.

(6) Given the ionic radii: Mg2+ = 0.072 nm and O2- = 0.140 nm, what is the ionic packing factor of MgO? (a) 84%; (b) 80%; (c) 74%; (d) 69%.

Solutions

Expert Solution

(1) Assuming one atom per lattice point, a Simple Cubic structure when heated transforms to a Body Centered Cubic (BCC) structure. Assuming that the atomic radii remain the same, its mass density will increase by:

(a) 30%

(2) Assuming one atom per lattice point, a Simple Cubic (SC) structure when heated transforms to a Face Centered Cubic (FCC) structure. Assuming that the atomic radii remain the same, its volume will decrease by:

(c) 23%

(3) A Face Centered Close Packed (FCP) structure when heated transforms to a Hexagonal Close Packed (HCP) structure. Assuming that the atomic radii remain the same, its mass density will decrease by:

(b) 4%

(4) A hypothetical AX type ceramic material has density of 2.65 g/cc and cubic structure with edge length of 0.43 nm. The atomic weights of A and X elements are 86.6 and 40.3 g/mol respectively. The, AX has crystal structure similar to:

(a) CsCl

(5) Given the ionic radii: Na1+ = 0.102 nm and F1- = 0.133 nm, The ionic packing factor of NaF would be,

= [(4 x 3.14 x (0.102)^3/3) + (4 x 3.14 x (0.133)^3/3)]/[((2 x 0.102 + 2 x 0.133)/sq/rt(3))^3] x 100 = 72%

(c) 72%

(6) Given the ionic radii: Mg2+ = 0.072 nm and O2- = 0.140 nm, The ionic packing factor of MgO would be,

(a) 84%


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