Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
15th Edition
ISBN: 9781269935678
Author: Nivaldo J. Tro
Publisher: Pearson Education
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Chapter 13, Problem 57E
Interpretation Introduction
To determine: The number of C atoms in a unit cell of diamond.
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Calculate the volume of a unit cell of Nickel in nm3. The volume of unit cell of Nickel is 4.3142×10-29 m3. Note that Nickel has a Face Centred Cubic Lattice Structure. The atomic mass of nickel is 58.11 g/mole. Find the density of Nickel in Mg/m3. (Here, Mg is defined as Mega-gram) Use the value of Avogedro Number NA=6.023×1023 Use the below mentioned formulae to calculate the density (ρ)
ρ=(n×A)/(NA×Vc ), Here, A = the atomic mass of Nickel, Vc=Volume of unit cell of nickel, n=number of atoms in an unit cell of Nickel.
Chapter 13 Solutions
Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
Ch. 13 - Determine what state this substance is in at 1 atm...Ch. 13 - Prob. 2SAQCh. 13 - Prob. 3SAQCh. 13 - Prob. 4SAQCh. 13 - Prob. 5SAQCh. 13 - Prob. 6SAQCh. 13 - Prob. 7SAQCh. 13 - Prob. 8SAQCh. 13 - Prob. 9SAQCh. 13 - Prob. 10SAQ
Ch. 13 - What is a phase diagram?Ch. 13 - Draw a generic phase diagram and label its...Ch. 13 - What is the significance of crossing a line in a...Ch. 13 - What is graphene? Why is graphene unique?Ch. 13 - Prob. 5ECh. 13 - What is a crystalline lattice? How is the lattice...Ch. 13 - Prob. 7ECh. 13 - Prob. 8ECh. 13 - What is the difference between hexagonal closest...Ch. 13 - What are the three basic types of solids and the...Ch. 13 - Prob. 11ECh. 13 - What kinds of forces hold each of the three basic...Ch. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - Prob. 15ECh. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Consider the phase diagram for iodine shown here....Ch. 13 - Prob. 21ECh. 13 - Prob. 22ECh. 13 - Prob. 23ECh. 13 - Prob. 24ECh. 13 - Prob. 25ECh. 13 - An X-ray beam of unknown wavelength is diffracted...Ch. 13 - Prob. 27ECh. 13 - Determine the coordination number for each...Ch. 13 - Prob. 29ECh. 13 - Molybdenum crystallizes with the body-centred unit...Ch. 13 - Prob. 31ECh. 13 - An atom has a radius of 142 pm and crystallizes in...Ch. 13 - Rhodium has a density of 12.41 g / cm3 and...Ch. 13 - Barium has a density of 3.59 g/cm3 and...Ch. 13 - Prob. 35ECh. 13 - Palladium crystallizes with a face-centered cubic...Ch. 13 - Prob. 37ECh. 13 - Identify each solid as molecular, ionic, or...Ch. 13 - Which solid has the highest melting point? Why?...Ch. 13 - Which solid has the highest melting point? Why?...Ch. 13 - Which solid in each pair has the higher melting...Ch. 13 - Which solid in each pair has the higher melting...Ch. 13 - Prob. 43ECh. 13 - Prob. 44ECh. 13 - Prob. 45ECh. 13 - Prob. 46ECh. 13 - The unit cells for cesium chloride and barium(ll)...Ch. 13 - Prob. 48ECh. 13 - Prob. 49ECh. 13 - Prob. 50ECh. 13 - Prob. 51ECh. 13 - Prob. 52ECh. 13 - Prob. 53ECh. 13 - Prob. 54ECh. 13 - Prob. 55ECh. 13 - Prob. 56ECh. 13 - Prob. 57ECh. 13 - The density of an unknown metal is 12.3 g/cm3 and...Ch. 13 - Prob. 59ECh. 13 - Consider a planet where the pressure of the...Ch. 13 - An unknown metal is found to have a density of...Ch. 13 - Prob. 62ECh. 13 - Potassium chloride crystallizes in the rock salt...Ch. 13 - Calculate the fraction of empty space in cubic...Ch. 13 - Prob. 65ECh. 13 - Prob. 66ECh. 13 - Prob. 67E
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- The unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.arrow_forwardPalladium has a cubic crystal structure in which the edge of the unit cell is 389 pm long. If the density of palladium is 12.02 g/cm3, how many palladium atoms are in a unit cell? In which of the cubic unit cells does palladium crystallize?arrow_forwardCalculate the percent of volume that is actually occupied by spheres in a body-centered cubic lattice of identical spheres You can do this by first relating the radius of a sphere, r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along a diagonal passing through the body-centered sphere.) Then calculate the volume of a unit cell in terms of r. The volume occupied by spheres equals the number of spheres per unit cell times the volume of a sphere (4r3/3).arrow_forward
- The CsCl structure is a simple cubic array of chloride ions with a cesium ion at the center of each cubic array (see Exercise 69). Given that the density of cesium chloride is 3.97 g/cm3, and assuming that the chloride and cesium ions touch along the body diagonal of the cubic unit cell, calculate the distance between the centers of adjacent Cs+ and Cl ions in the solid. Compare this value with the expected distance based on the sizes of the ions. The ionic radius of Cs+ is 169 pm, and the ionic radius of Cl is 181 pm.arrow_forwardThe coordination number of uniformly sized spheres in a cubic closest-packing (FCC) array is 12. Give the coordination number of each atom in (a) a simple cubic lattice. (b) a body-centered cubic lattice.arrow_forwardConsider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a primitive cubic unit cell just touch along the cubes edges, calculate the percentage of occupied space within the unit cell. (Recall that the volume of a sphere is (4/3)r3, where r is the radius of the sphere.) (b) Compare the percentage of occupied space in the primitive cell (pc) with the bcc and fcc unit cells. Based on this, will a metal in these three forms have the same or different densities? If different, in which is it most dense? In which is it least dense?arrow_forward
- CaTiO3, a perovskite, has the structure below. (a) If the density of the solid is 4.10 g/cm3, what is the length of a side of the unit cell? (b) Calculate the radius of the Ti4+ ion in the center of the unit cell. How well does your calculation agree with a literature value of 75 pm? Unit cell of the perovskite CaTiO3 A sample of perovskite, iO3 FIGURE 7.11 Relative sizes of some common ions. Rodii are given in picometers (1 pm 1 1012 m). (Data taken from J. Emsley, The Elements, Clarendon Press, Oxford, 1998, 3rd edition.)arrow_forward8.98 If you know the density of material and the length of the edge of its cubic Iattice, how would you determine if it is face-centered cubic, body-centered cubic, or simple cubic Would you have to look up any information?arrow_forwardCalculate the unit cell edge length of copper metal, which has an fcc arrangement. The radius of a copper atom is 126 pm.arrow_forward
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