Vanadium (V) crystallises in a bcc structure and has an atomic radius of 131 pm. Determine the density if the edge length of the bcc unit cell is 4r/v3 and the atomic mass is 50.94 g/mol. (NA = 6.022×1023 mol-1) A. 3.06 g/cm³ B. 6.11 g/cm³ C. 2.77 g/cm³ D. 12.2 g/cm3 F. 8.46 a/cm³

Vanadium (V) crystallises in a bcc structure and has an atomic radius of 131 pm. Determine the density if the edge length of the bcc unit cell is 4r/v3 and the atomic mass is 50.94 g/mol. (NA = 6.022×1023 mol-1) A. 3.06 g/cm³ B. 6.11 g/cm³ C. 2.77 g/cm³ D. 12.2 g/cm3 F. 8.46 a/cm³

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: A certain crystal exhibits a closest cubic packed structure. If the density of the metal is 11.6…

A: In a cubic close-packed (ccp) structure, also known as face-centered cubic (fcc), the relationship…

Q: Sodium metal adopts a body-centered cubic structure. Each side on the unit cell has length of 4.286…

Q: Many elements crystalize with a unit cell that is hexagonally shaped (6 sided). The calculations of…

A: Answer:Here:

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: When a particular substance crystallizes, it forms a body-centered cubic unit cell. It has a…

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: You've discovered what you think is a new face-centered cubic metal. You find the density of this…

A: Given, The lattice is fcc density =5.58 g/cm3 edge length, a = 4.46×10-8 cm

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: What is the density, in g/cm, of a hypothetical metal Imaginarium (Im-28.5 g/mol), if its atoms are…

A: In fcc crystal lattice there are four atoms present in an unit cell.

Q: а ВСС

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. For the HCP crystal structure, show that a) The volume of the unit cell is given by 6√3R²c. b)…

A: The structure of the HCP unit cell is shown below, Figure 2 is the large representation of the…

Q: A metal crystallizes in a body-centered cubic unit cell. The radius of one atom is 2.30 x 10-8 cm…

A: The given solid is body-centered cubic unit.The radius is .The density of the metal is .To find the…

Q: The edge length of unit cell of a metal having molecular weight 75 g/mol is 5 A which crystallizes…

A: 1) Determine the given cubic lattice is BCC or FCC or simple cubic from density formula. 2) Based on…

Q: What is the IUPAC name of the following compound? 4-ethynyl-3-methyl-1-pentyne…

A: Given compound is We need to write IUPAC name of this compound by following proper rules…

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

Q: Europium crystallizes in a bcc cubic lattice. a. If the atomic radius of a europium atom is 231…

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

Q: What is the volume of the unit cell for a body-centered cubic structure for atoms with radius, r? a.…

Q: Solid cesium bromide has the same kind of crystal structure as CsCl which is pictured below: CI Cs…

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

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: 1. For the HCP crystal structure, show that a) The volume of the unit cell is given by 6√3R²c. b)…

A: The HCP crystal lattice is shown as- The hexagonal closed structure has 2 lattice parameters,…

Q: Within a cubic unit cell, rank the following interplanar spacings from smallest to largest. (1 =…

A: Attached is the detailed solution for the question

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: Cesium bromide packs into a regular pattern in a three dimensional lattice. The unit cell is the…

A: Conversion of Angstrom in CM Given edge length = 4.39 A° Now, given, 1cm = 1.00×108 A° Now, edge…

Q: 4. What is the length of an edge of the unit cell when barium (atomic radius 222 pm) crystallizes in…

A: The objective of this question is to find the length of the BCC unit cell.

Q: 13. Copper has an atomic radius of 128 pm. Calculate the density of the hypothetical forms of…

Q: Aluminum metal crystallizes with a face -centered cubic unit cell. The volume of the cell is 0.0662…

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

Q: Iron crystallizes in a BCC unit cell at room temperature and have the following properties: Atomic…

Q: Consider Base Centered Cubic (BCC) Molybdenum (Mo) crystal structure with an atomic radius Mo =…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: The radius of gold atom is 1.44 Å. What is the length of the unit cell for gold crystals whose atomo…

A: Given that - The radius of gold atom = 1.44 A° Type of unit cell for Gold atom is Face centered…

Q: Mythril is composed of two unknown metals. Metal 1, which is a 25 wt% impurity,has a density of…

A: We have given two unknown metals whose density and atomic masses are known. We have to find out the…

Q: Shown below is one face of a hypothetical face-centered cubic unit cell. The cell length (short side…

A: The long side of a right angled triangle can be calculated by using Pythagorus formula- (AC)2 =…

Q: I'm not sure how I would begin to answer this question. Thank you for all your time.

A: Given data:

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

Vanadium (V) crystallises in a bCC
structure and has an atomic radius of 131 pm. Determine
the density if the edge length of the bcc unit cell is 4r/V3 and
the atomic mass is 50.94 g/mol. (N = 6.022x1023 mol-1)
A. 3.06 g/cm³
B. 6.11 g/cm3
C. 2.77 g/cm3
D. 12.2 g/cm3
F. 8.46 a/cm3

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

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

Barium oxide (BaO] crystallizes in a structure in which the O² io are in a face-centered cubic lattice and the Ba²+ ions are in octahedral holes. What is the number of Ba²+ ions in the unit ce 2 V = a³ = (4.47x10-8cm)³ = 8.93x10-23 cm³ 4.72x10¯ 5.28 g cm formul 3 8 = 4.01 formula units
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
Metallic strontium crystallizes in a face-centered cubic lattice, with one Sr atom per lattice point. If the metallic radius of Sr is 215 pm, what is the volume of the unit cell in pm³ and in cm³ ? 3 pmº cm³
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
c) The figure below shows a NaCl unit cell. When x-rays of wavelength 0.1541 nm was allowed to pass through a NaCl crystal, reinforcement of the x-rays first occurred when the angle between the direction of the rays and the crystal face is 14.140 Pege 2 of 7 CTRRPINWCTA0715/P2MOCK 2021
6
Shown below is one face of a hypothetical face-centered cubic unit cell. The cell length (short side of the right triangle) is 6.67 Å. What is the length of the long side in Å? ( 1 Angstrom = 0.1 nm)
11. An element with atomic mass 106.9amu crystallizes in a face–centered cubic unit cell. Its density is 11.0 g/cm3 at 27°C. Calculate the atomic radius of an atom of the element in centimeters.
5) a) SrCl, is crystallized in cubic structure as can be seen in the figure below. The density of this material is 3052 kg/m². Since the molar masses of Sr and Cl are 87.62 g / mol and 35.45 g/ mol, respectively, what is the unit cell length of this cubic structure? Sr Cl a b) Using the figure on the below, [230], [110], [ 100], [ 210], [ 130], [100], [1 30], [ 10] Draw.