The atomic radius of lead is 0.238 nm. If it forms a face-centered cubic crystallinem³)? Atomic weight of lead=207.2 g/molstructure, what is its density (in g/cm3Express your answer in two decimal places. P:nAVCNAWhere: p density (g/cm³)n = no. of atoms/ unit cellA = atomic weight (g/mol)Importantconversion factors1 cm = 107 nm1 cm = 10¹⁰ pm1 cm = 10⁰ Å1 nm = 10 ÅVc = volume / unit cell (cm³/unit cell) = a³NA = Avogadro's number = 6.022x10²3 atoms/mol

Answered: Image /qna-images/answer/d3db4cd1-8a67-4f2c-93dd-917105902c42.jpg

Answered: The atomic radius of lead is 0.238 nm.…

The atomic radius of lead is 0.238 nm. If it forms a face-centered cubic crystalline structure, what is its density (in g/cm³)? Atomic weight of head=207.2 g/mol

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 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: Metallic silver (Ag) crystallises in an FCC crystal structure. The edge length of the unit cell is…

Q: Outline the type of defects in Crystalline structure

A: To outline the type of defects in Crystalline structure.

Q: A compound consists of X and Y atoms. Its solid has the cubic unit structure shown below. Based on…

A: In BCC one atom is present at the center as well as atoms are present at the 8 corners of the unit…

Q: A compound contains three elements: sodium, oxygen, and chlorine. It crystallizes in a cubic…

A: In the problem formula of a compound has to be in primitive cubic lattice with oxygen, chlorine and…

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: The element technetium (Tc) crystallizes with a Simple Hexagonal unit cell. The density of a…

A: The density is defined as mass per volume occupied. Density = MassVolume

Q: Lead, Pb, is used in solders as radiation shield. It adopts the face centered cubic unit structure…

A: Given question related to calculation of density of lead.

Q: 5) Calcium has a face-centered cubic structure. If the atomic radius of calcium is 231 pm, calculate…

Q: A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar…

A: Given, Structure: FCC (Face centred cubic lattice) Density (d) = 20.5 g/cm3 Molar mass of metal =…

Q: Nickel crystallizes in the face-centered cubic (FCC) lattice. The density of the metal is 8902…

A: The face-centered unit cell has an atom in the middle of each face of the cube.The total number of…

Q: 22. Palladium (Pd) crystallizes in a face-centered cubic lattice with an edge length of 388.8 pm.…

Q: When silver crystallizes, it forms face- centered cubic cells. The unit cell edge length is 4.087 A.…

Q: Silver crystallizes in the face-centered cubic (FCC) lattice. The density of the metal is 10500…

A: Given density of metal = 10500 kg/m3 For FCC Number of atom in per unit cell (Z) = 4 Molar mass of…

Q: The density of a metal is 8.92 g/cm3. The metal crystalizes into FCC structure. If the atomic radius…

A: The molar mass can be calculated as :-

Q: An element crystallizes in a body-centered cubic (BCC) unit cell (which contains two atoms per unit…

Q: Define crystal lattice and unit cell.

A: Lattice is a collection of lattice points that are arranged in a periodic pattern so that the…

Q: A substance is a brittle crystal that conducts electricity in molten liquid state only. Which type…

A: Given : different types of crystal

Q: Under certain conditions, iron (A = 55.84 g/mol) can assume a face-centered cubic (FCC) structure…

Q: A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar…

A: Given: Density of metal = 20.5 g/cm3. The lattice structure of the metal is FCC. And the molar mass…

Q: Decide what kind of crystalline solid each element or compound in the table forms, and what kind of…

A: The given problem is based on the classification of solids based on intermolecular forces.

Q: cide what kind of crystalline solid each element or compound in the table forms, and what kind of…

A: Answer:Ionic solidsMolecular solidsNetwork solids

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.93 g/cm3.…

A: Given the element, Le has a body-centered cubic(BCC) structure. Density of Le, d = 6.93 g/cm3.…

Q: hypothetical element, Le, has a body centered cubic structure with a density of 7.3 g/cm3. Calculate…

Q: 3. If atomic radius of Ru is 205 pm and it forms hep crystalline structure, calculate the…

A: In the given question we have to calculate the density of Ru crystal.The density of a crystal can be…

Q: what form of unit particles makes up each type of crystal

A: There are 4 types of crystals – Ionic crystals Molecular crystals Covalent crystals Metallic…

Q: Europium forms a body-centered cubic unit cell and has an edge length of 4.68 cm. From this…

A: In body centred √3 × a = 4 r

Q: What are the Cubic unit cells?

A: The smallest part of a crystal that shows a 3-D pattern of the entire crystal is defined as a unit…

Q: The radius of chromium is 125 pm and the density is 7.14 g/cm³. Does elemental chromium have a…

Q: A mystery metal has a bcc crystal structure, a density of 6.54g/cm3, and an atomic weight of…

A: we have been given density of metal, atomic weight of metal, crystal structure of type bcc for…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.79 g/cm3.…

A: Given that, density of body centered cubic structure (d) = 6.79 g/cm3 Atomic mass = 56.389 g/mol

Q: 6.28 g/cm3. Calculate its atomic radius in pm. Atomic Mass: Le: 50.225 g/mol Round your answer to…

A: In Body Centered cubic (BCC) number of atoms are at corners and body center. So, effective number of…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.93 g/cm3.…

Q: A hypothetical element, Ny, forms a face-centered cubic lattice with an atomic radius of 166 pm.…

Q: Platinum nanoparticles of diameter ∼2 nm are important catalysts in carbon monoxide oxidation to…

A: Given: Diameter of the nanoparticles=2 nm Edge length=3.924A° To find: The number of platinum atoms

Q: 7. Platinum crystallizes with the face-centered cubic unit cell. The radius of a platinum atom is…

A: We have radius as 139 pm. We are given an FCC unit cell. We have to calculate the edge length and…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.12 g/cm3.…

A: Atomic radius of element is calculated by determining edge length of element. Density is the mass…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 7.98 g/cm3.…

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

The atomic radius of lead is 0.238 nm. If it forms a face-centered cubic crystalline
m³)? Atomic weight of lead=207.2 g/mol
structure, what is its density (in g/cm3
Express your answer in two decimal places.

P:
nA
VCNA
Where: p density (g/cm³)
n = no. of atoms/ unit cell
A = atomic weight (g/mol)
Important
conversion factors
1 cm = 107 nm
1 cm = 10¹⁰ pm
1 cm = 10⁰ Å
1 nm = 10 Å
Vc = volume / unit cell (cm³/unit cell) = a³
NA = Avogadro's number = 6.022x10²3 atoms/mol

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

VIEW

Step 2

VIEW

Step 3

VIEW

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

What are the Cubic Crystalline Lattices?
The density of Ni is 8.90 g/cm3. Does nickel crystallize in a simple cubic structure? Explain.
Aluminum has a cubic closest packed structure as a solid. Assuming that aluminum has an atomic radius of 143 pm, calculate the density of solid aluminum. g/cm³
tion 2 Iridium (192.2 g/mol) crystalizes in a face centered cubic lattice. Iridium has a density of 22.56 g/cm3. Calculate the cryptographic radius of an atom in pm. O 5.661x1023 pm 85.5 pm 136 pm 53.9 pm 384.0 pm
Scandium forms a body-centered cubic unit cell and has a density of 22.99 g/cm^3. From this information, determine the length (in pm) of the edge of the cubic cell.
A hypothetical element, Le, has a body centered cubic structure with a density of 6.93 g/cm3. Calculate its atomic radius in pm. Atomic Mass: Le: 55.963 g/mol 132.34 131.43 129.61 130.52
Aluminum has a face-centered cubic unit cell. How many atoms of Al are present in each unit cell?
What is face centered cubic unit cell? What is its significance in the field of engineering and chemistry?
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.
18. Copper crystallizes into a face-centered cubic crystal structure. (a) How many copper atoms are there in one unit cell of copper crystal? (b) If the density of copper is 8.96 g/cm³, what is the edge-length of the unit cell in pm? (c) Calculate the atomic radius of copper in pm. (1 u = 1.6605 x 10-24 g; 1 pm = 10-10 cm) %3D 3
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.
The density of platinum is 21.45 g/cm3. It crystallizes in a fcc lattice. Calculate its metallic radius.