ChemistryAluminum has an atomic mass of 26.97 g/moland a density of 2699 kg/m3.calculatea) mass of an atomb) number of atoms in 1 mgc) volume and edge of the unit celld) number of atoms and moles per m3e) mass of a unit cellf) number of cells in a 1g of metalg) atomic radiush) packing factori) linear atomic density in the 110 and 111directionsj) surface atomic density in planes (1 1 0) and (111)

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: Chemistry Aluminum has an atomic mass…

Chemistry Aluminum has an atomic mass of 26.97 g/mol and a density of 2699 kg/m3. calculate a) mass of an atom b) number of atoms in 1 mg c) volume and edge of the unit cell

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: The density of solid W is 19.3 g/cm³. How many atoms are present per cubic centimeter of W? Number…

A: Given data:The unit cell is the smallest unit of a crystal lattice, whose continuous repetition…

Q: The density of an (NaCl) ionic solid is 3.34 g/cm3 and the length of an edge is 482 pm. a. How…

A: Given: density of an (NaCl) ionic solid = 3.34 g/cm3 length of an edge (a) = 482 pm…

Q: The density of solid Fe is 7.87 g/cm³. How many atoms are present per cubic centimeter (cm³) of Fe?

A: a) Density of Fe = 7.87 g/cm3 1 mol Fe = 56.0 g/mol 1 mol Fe = 6.023 × 1023 Fe atoms The…

Q: Gold atoms pack in a regular pattern in a three dimensional lattice in pure gold metal. Remember,…

A: The number of gold atoms in the FCC unit cell is = four The molar mass of gold is = 197.96 g/mol The…

Q: For a simple cubic unit cell, what percentage of the space in the cell is occupied by the atoms at…

A: The packing fraction is the percentage of total space in the unit cell occupied by constituent…

Q: A metal crystallizes in a type of cubic unit cell. The unit cell edge length is 287 pm. The density…

Q: using the diagram of the unit cell below, how many atoms are contained inside this "erroneous cubic"…

A: In a Simple cubic unit cell, atoms occupy each of the eight corners of the unit cell. Each atom in…

Q: -9 Silicon used in computer chips must have an impurity level below 10 (that is, fewer than one…

A: No. of boron atoms = 1.8*1013Edge length(a) = 543 pm = 5.43*10-8 cmNo. of Si atoms in a cubic unit…

Q: What is defined as the number of atoms surrounding an atom in a crystal lattice and indicates how…

A: Given statement is : What is defined as the number of atoms surrounding an atom in a crystal…

Q: Calcium has a cubic closest packed structure as a solid. Assuming that calcium has an atomic radius…

A: Given data is The structure of Calcium is a cubic closest packed structure. The atomic radius of…

Q: Examine the ionic unit cell structure shown below. The purple spheres represent iodine ions and the…

Q: Active metals release hydrogen from acids. True False Europium forms a body centered cubic…

A: Given: Density = 4.68 g/cm3 Standard data: The molar mass of europium = 151.964 g/mol

Q: All alkali metals possess a body centered crystal structure. This means that they contain a. 4…

A: Note - Since you have asked multiple question, we will solve the first question for you. If you…

Q: 1. Given the key below the unit cell, what is the empirical formula of the substance whose crystal…

A: The contribution of each atom at corner is 1/8, at the face centre is 1/2, and at the body centre is…

Q: Gallium arsenide is a compound that is important in light emitting diodes and solar cells. It packs…

A: Answer: On observing the unit cell, it can be establish that it is FCC unit cell in which Gallium…

Q: KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 Å.…

A: NaCl crystallizes in face centered Where Na atoms occupies the corners and Cl atoms are at the…

Q: What is the net number of face-centered atoms contained in a face-centered cubic unit cell?

A: Face-centered cubic (fcc) refers to a crystal structure consisting of an atom at each corner of the…

Q: 5. The unit cell of an ionic solid is shown below. What is the empirical formula of this compound?…

A: Contribution of an atom that is present at corner is 1/8 Contribution of an atom that is present at…

Q: Which of the following properties does NOT impact the vapor pressure of a particular liquid in a…

A: The objective of the question is to identify the property that does not affect the vapor pressure of…

Q: 1. The cubic unit cell shown below has been shaded to add clarity; the ions in the corners are black…

A: a) the ions in the corners are black (B) and those in the faces are gray(G) let us consider,…

Q: Gold atoms pack in a regular pattern in a three-dimensional lattice in pure gold metal. Assume the…

A: We are given the edge length of unit cell for gold atom. We have to find the volume.

Q: Assume the edge length of the unit cell for tantalum is 331 pm. Calculate the volume of this unit…

Q: Tantalum atoms packs in a regular pattern in a three dimensional lattice in pure tantalum metal.…

A: Tantalum atoms pack in Body Centered Cubic cell structure in its pure form. Length of the edge of…

Q: )Element calcium (Ca) crystallizes in a face-centered cubic(fcc) lattice.The radius of a Valium atom…

A: A Unit cell is the smallest repeating unit or portion of a crystal lattice. The crystal lattice is…

Q: All the following statements describing unit cells are correct, except........ ○ In a face -…

A: Unit cells, which serve as the foundation of crystals, are the smallest repeating units in the…

Q: substance is made of elements X, Y and Z. In the unit cell of the compound, X atoms occupy…

A: Solid state

Q: Calculate the number of atoms in a given unit cell depending on the lattice type or unit-cell type

Q: The radius of a single atom of a generic element X is 199 picometers (pm) and a crystal of X has a…

Q: Assume X has a body- centered cubic lattice with all atoms at the lattice points. The edge length of…

A: In a body centered unit cell one atom exist in the center and eight 1/8 atom lies in the corner of…

Q: The packing fraction of an irregular unit cell is 0.85. The volume of the unit cell is 7.74 pm3. The…

A: The solution is given below:

Q: Gold atoms pack in a regular pattern in a three dimensional lattice in pure gold metal. Assume the…

A: Given: The edge length, a= 0.408 nm Conversion factor : 1.00 cm = 1.00 x 107 nm or 1.00 nm = 1.00…

Q: Chromium crystallizes in a body centered cubic lattice with a density of 7.20 g/cm3. Given that the…

A: Given: Chromium crystallizes in a body centered cubic lattice. density = 7.20 g/cm3 length of an…

Q: What is the length of the unit cell (a)? 3.6x10^(-8) cm 3.2x10^(-8) cm 3.36x10^(-8) cm…

A: we have to calculate the edge length and density of the crystal structure

Q: A small part of a crystal lattice is sketched below. The unit cell is outlined in red. How many…

A: The crystal lattice given is,

Q: What is the chemical formula for the ionic compound whose unit cell is shown? (A and B are cations;…

Q: An oxide of niobium has a cubic unit cell in which there are oxide ions at the middle of each edge…

A: Empirical formula is the simplest whole number ratio of atoms present in a compound.

Q: Bonus Question: The density of potassium metal is 0.856 g/cm³. Potassium atoms crystallize in a…

A: Given that: The density of potassium metal = 0.856 g/cm3Potassium atoms are in the body center cubic…

Q: 7. Sketch the [110] direction and (110) plane in a cubic unit cell. Is there any geometrical…

A: Miller indices are group of three numbers which indicates the orientation of a plane or set of…

Q: 1. Strontium forms a face centered cubic unit cell and has a density of 2.64 g/cm³. What is the…

Q: The radius of a single atom of a generic element X is 153 pm. A crystal of X has a unit cell that is…

Q: An unidentified elemental solid has a density of 5.36 g/cm3. 5.36 g/cm3. As a solid this element…

A: D= zM÷(a)3NA Molar mass= 580g/mol This element dies not exist

Q: A BCC crystal has a density of 10 g cm-3 and the unit cell has an edge length of 100 pm. (NA = 6 x…

Q: of Cu, given the mass of one Cu atom is 1.0553 x 10 g- 3. The radius of a copper atom is 127.8 pm,…

Q: Consider an alloy of copper and gold with the structure shown here: a) What is the volume (cm3) of…

Q: NaCl has a has a face centered cubic (fcc) structure. How many Na atoms per unit cell, Cl atoms per…

A: NaCl is an ionic crystal . In NaCl type structure, chloride ions occupy fcc structure and sodium…

Q: An ionic solid crystallizes in a cubic lattice. The anions are located at the corners and 4 faces of…

A: We are given a unit cell: The anions are located at the corners and 4 faces of the unit cell, The…

Q: The inorganic part of bone is made of CaF2, or fluorite. For CaF2, the unit cell is cubic, and the…

A: CaF2 has fcc lattice, hence Z=4 Given, At. mass Ca = 40.08 g/mole At. mass F = 19.00 g/mole…

Q: 23. Tin crystallizes in a face centered cubic arrangement. The atomic radius of a tin atom is 1.41 x…

Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

Chemistry
Aluminum has an atomic mass of 26.97 g/mol
and a density of 2699 kg/m3.
calculate
a) mass of an atom
b) number of atoms in 1 mg
c) volume and edge of the unit cell
d) number of atoms and moles per m3
e) mass of a unit cell
f) number of cells in a 1g of metal
g) atomic radius
h) packing factor
i) linear atomic density in the 110 and 111
directions
j) surface atomic density in planes (1 1 0) and (11
1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

+ Calculate the total number of atoms contained within this unit cell. A) 8 atoms B) 4 atoms C) 2 atoms D) 1 atom
In the cubic unit cell below, white spheres are sulfur atoms and black spheres are potassium atoms. Complete the table, then answer the questions. White spheres Black spheres How many spheres are on the corners of the unit cell? How many spheres are on the edges of the unit cell? How many spheres are on the faces of the unit cell? How many spheres are entirely inside the unit cell? If all the sphere segments inside the unit cell boundaries were cut out and glued together, how many whole spheres could be made? How many spheres of the other color does each sphere touch? a) Which kind of cubic unit cell is it? How do you know? b) What is the formula of the compound shown?
1. The radius of gold atom is 1.44 Å. What is the length of the unit cell for gold crystals whose atoms are packed according to fcc lattice?
Calcium sulfide packs into a regular pattern in a three dimensional lattice. The unit cell is the smallest repeating unit of an ionic packing structure. Remember, there are four calcium ions and four sulfide ions in the unit cell. Calculate the mass, in g, of this unit cell. Submit an answer with three significant figures. (molar mass of Ca = 40.08 g/mol; molar mass of S = 32.07 g/mol) %3D
Which cubic unit cell has the largest number of equivalent atoms?
Not all unit cells have a cubic structure. Take for example the below image wherein the unit cell takes the shape of a parallelepiped and has lengths a, b, c and angles α, β, γ. This particular unit cell has an atom arrangement where it has one atom at each corner, one central atom at each of the bases, one atom at the center of the unit cell, and one atom at the center of each of the edge lengths across length c. Given a density of 24.19 g/cm3, calculate the length of edge c in angstroms of a theoretical element Ro given the following unit cell dimensions in angstroms and degrees: a = 9.84A b = 6.4A γ = 43o Atomic Mass: Ro: 50.833 g/mol
Iridium crystallizes in the face-centered cubic unit cell. The edge length of the unit cell is 379 pm. What is the density of this crystalline form of iridium in g/cm? 1.90 Previous Ne
A substance is made of elements X, Y and Z. In the unit cell of the compound, X atoms occupy corners of the unit cell, Y atoms occupy center of faces of unit cell and Z atoms occupy edges of the unit cell. Determine the simplest formula of the substance. A. XY3Z4 B. XY3Z C. XY2Z3 D. XY3Z2 E. XY3Z3
The density of Rh is 12.4 g/mL and the cell volume is 5.50 x 10-23 cm3. Determine the number of atoms in the unit cell. Note: the number of atoms in a unit cell is a whole number.
5. Gold has a cubic crystals whose unit ceil has an edge length of 407.9 pm. The density of the metal is 19.3 g/cc. Calculate the number of gold atoms in a unit cell, assuming all atoms are at the lattice points. What type of cubic lattice does gold have?
Zinc blende, or sphalerite, can be described as having a face-centered cubic unit cell with sulfur atoms at each lattice point and four zinc atoms within the unit cell. What is the empirical formula for this material?
9. A binary ionic compound crystallizes in the cubic unit cell shown below. The anions (larger spheres) define the unit cell while four cations (smaller dark spheres) are located in tetrahedral holes within the unit cell. What is the formula for this ionic compound (M = cation, X= anion)? eelo bi biloa bifoa oino biloe ci le of hsk at s sta P. MX b. M2X MX2 d. M2X3 e. MX4 a. с. D. 10. The cubic uniț çell of rhenium trioxide (ReOa) hoo Po