Aluminum metal crystallizes with a face -centered cubic unit cell. The volume of the cell is 0.0662 nm3.The atomic mass of aluminum is 26.98 g/mol. What is the lattice parameter (edge length) of the FCC unit cell in centimeter? b. What is the density of the given FCC unit cell in g/cm ? c. What is the atomic radius of aluminum in centimeter?

Aluminum metal crystallizes with a face -centered cubic unit cell. The volume of the cell is 0.0662 nm3.The atomic mass of aluminum is 26.98 g/mol. What is the lattice parameter (edge length) of the FCC unit cell in centimeter? b. What is the density of the given FCC unit cell in g/cm ? c. What is the atomic radius of aluminum in centimeter?

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: 7) Silver nanoparticles are embedded in clothing fabric to kill odor-causing bacteria. Silver…

Q: Titanium, Ti, crystallizes in a body centered cubic unit cell. The edge of the unit cell measures…

Q: What element forms a face centered cubic cell, has a density of 8.92g/cm3 and a radius of 128pm?

A: Density of a unit cell is given as the ratio of mass and volume of unit cell. The mass of a unit…

Q: 6. Polonium is the only metal that form a simple cubic crystal. Using PPO = 9.32 g/cm³, calculate…

Q: Rhodium crystallizes in a face-centered cubic unit cell. The radius of a rhodium atom is 135 pm.…

A: The density of unit cell is given as- d or ρ= z.MNA.a3 (equation-1)where, d or ρ is densityz…

Q: 3. A metal crystallizes with HCP unit cell. Its density is 8.67 g/cm3 and atomic weight of 111.95…

Q: Which type of closest-packed solid state structure is most stable? A:Group of answer choices…

A: The packing efficiency of both HCP and CCP is 74.05% that is structure occupies 74.05% of space…

Q: Compare the number of particles in one unit cell foreach of the following types of unit cells.a.…

A: To find: Number of particles in, a. simple cubicb. body-centered cubic

Q: The radius of manganese is 126 pm and the density is 7.47 g/cm3. Does elemental manganese have a…

A: Given, radius of manganese = 126 pm density = 7.47 g/cm3 we have to determine that it has…

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: 4. Chromium crystallizes with a body-centered cubic unit cell. The radius of a chromium atom is 125…

A: Density of a lattice is calculated using the following formula ρ=zMNa3 Where ρ=density M=atomic…

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: 2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and…

A: a)Unit cell length,do The distance between the centres of two corner atoms on the same edge,…

Q: Gold (Au) has a cubic tight stacking (face centered cubic unit cell) crystal structure with a…

A: Given : Density(d) = 19.3 g/cm3 Atomic mass of Au(M) = 197 gmol-1 We have to calculate radius of…

Q: A metal with atomic radius of 180 pm crystallizes in the face-centered cubic unit cell. What is the…

A: In face-centered cubic unit cell, the atoms are present in the face centres and corners And the…

Q: 5. What is the edge length of a body-centered cubic unit cell made up of atoms that each has a…

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

A: Solid state

Q: A metal with molar mass = 102.91 g/mol crystallizes in a face-centered cubic lattice with an edge…

A: Given that :- Molar mass = M = 102.91 g/mol Edge length = a = 380.1 pm { but 1 pm =…

Q: Which of the following statements about the face-centered cubic unit cell is true? I. The packing…

Q: The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell…

Q: Vanadium (V) crystallises in a bcc structure and has an atomic radius of 131 pm. Determine the…

Q: form a simple cubic unit cell 1. The anions of CsCl fill the octahedral holes 2. The anions NaCl and…

A: 1.The anions of CsCl forms a cubic unit cell.

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: Iridium crystallizes in a face-centered cubic unit cell. What is the radius of the iridium atom? The…

A: This question is related to crystallography. There are various types of lattice system such as…

Q: Nickel crystallizes in face center cubic unit cell. What is the atomic radius of nickel if the…

A: The density(ρ) of a unit cell is given by the following equation ρ=Z×MN×a3…

Q: 2. This crystal contains cesium ions and chloride ions. a. What type of crystal is it? b. What is…

A: Unit cell of CsCl

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: Platinum (Pt) crystallizes in a face-centered cubic unit cell and has a density of 21.45 g/cm3.…

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

Q: An ionic solid crystallizes in a cubic lattice. The anions are close-packed and the cations occupy…

A: Ionic compounds are made up of cations and anions. These ions are arranged in three dimensional…

Q: . Potassium crystallizes in a body-centered cubic lattice, and its atomic radius is 235 pm. The…

Q: Gold (197.0 g/mol) has cubic crystals whose unit cell has an edge length of 407 pm. The density of…

A: Density: The density of the metal is defined as the mass of unit volume. The density of the gold is…

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

Aluminum metal crystallizes with a face -centered cubic unit cell. The volume of the cell is
0.0662 nm³.The atomic mass of aluminum is 26.98 g/mol.
а.
What is the lattice parameter (edge length) of the FCC unit cell in centimeter?
b. What is the density of the given FCC unit cell in g/cm ?
С.
What is the atomic radius of aluminum in centimeter?
d. What is the volume (in cubic centimeter) and density (g/cm ) of a single aluminum
atom?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

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

Step by step pls
4. How many Na* and Cl- ions are in each NaCl unit cell? 5. The edge length of the NaCl unit cell is 564 pm. What is the density of NaCl in g/cm?? 6. Copper crystallizes in a face-centered cubic lattice (the Cu atoms are at the lattice points only). If the density of the metal is 8.96 g/cm³, what is the unit cell edge length in pm?
1.Using the radius ratio, predict the type of hole where the Mg2+ ion is present in the MgS crystal lattice. The ionic radius of Mg2+ is 0.86 Å and the ionic radius of S2- is 1.70 Å. a.cubic b.trigonal c.octahedral d.tetrahedral2. Which one of the following substances crystallizes as an ionic solid? a.CH3OH b.SiO2 c.K2O d.Sn
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
29. A metal has body center cube unit cell crystal structure. The molar mass of metal is 217.0 g/ mole and has the radius of 0.177 nm . Calculate density of metal. a or l = 4r /3 a.29.4 g/ cm3b.10.5 g/cm3c.1.89 g/ cm3d.15.6 g/ cm3
Aluminum (Al) crystallizes in a face-centered cubic cell with a unit cell edge length of 404.5 pm. Determine the density of aluminum (in g/cm3)
I need help with these two questions?
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