7) Silver nanoparticles are embedded in clothing fabric to kill odor-causing bacteria. Silver crystallizes in an fcc unit cell. a. How many unit cells are present in a cubic silver particle with an edge length of 35 nm? b. How many silver atoms are there in this particle? c. If there are 1500 µg of silver per sock, how many of these particles does this mass correspond to?

7) Silver nanoparticles are embedded in clothing fabric to kill odor-causing bacteria. Silver crystallizes in an fcc unit cell. a. How many unit cells are present in a cubic silver particle with an edge length of 35 nm? b. How many silver atoms are there in this particle? c. If there are 1500 µg of silver per sock, how many of these particles does this mass correspond to?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The unit cell for tin (sn) has tetragonal symmetry, with a and c lattice parameters of 0.583 and…

A: Unit cell: The smallest group of atoms that defines the overall symmetry of the crystal is known as…

Q: For tetragonal crystals, cite the indices of directions that are equivalent to each of the following…

A: Answer: [0 0 -1]

Q: Q : (i) Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68. (ii) Prove…

Q: What is the angle between the [102] and [111] directions in the cubic system? Select one:

Q: A B 3D A. Which element would you expect to have a lower melting point? A can't tell provide a same…

A: If we took at the figure we can see that the lower top shows bond energy and bond energy is…

Q: Determine the concentration of vacancies (number/m³) needed for an FCC Cu crystal lattice to have a…

A: FCC Cu crystal lattice density =8.10 g/cm3 Lattic Parameter of Cu =3.61×10-10m Atomic Weight of…

Q: Calculate the density of NaCl given it has a rock salt crystal structure. Na has an atomic weight of…

A: NaCl crystal structure

Q: The only alkali metal halides that do not adopt the NaCl structure are CsCl, CsBr, and CsI, formed…

A: The size of Cs+ ion is greater than the Na+ion size. The coordination number of Cs ion is 8 while…

Q: What is the atomic radius of nickel (in A) if it follows an FCC crystal structure, given that Nickel…

Q: Out of every 1000 Tera atoms in pure Si, 28 atoms provide a free electron at room temperature. (1)…

Q: Project 3: Figure 1 shows the atomic packing schemes for several different crystallographic…

Q: Consider two hypothetical metallic crystal structures A and B. A has an fcc and Ba bcc lattice…

Q: HCP crystals have a higher atomic packing factor than BCC crystals. Is this true or false?

Q: 8- Determine the unit cell edge length for zinc blende (ZnS) that has a rock salt crystal structure…

A: Given data is

Q: What is the atomic packing factor for simple cubic structures and the ratio of this factor to that…

Q: Nickel and aluminum both have FCC crystal structures. Which of the following statement is correct…

A: To find which of the details are correct about Nickel and Aluminium

Q: A metal has a radius of 0.184 nm, and a planar density of 5.2214288544612 nm²² in the (110) plane.…

A: Metal has a radius of 0.184 nm, and a planar density of 5.2214288544612 nm-2 in the (110) plane.…

Q: The random arrangement of atoms in a structure is known as amorphous structure. Select one: True…

A: In crystalline structure molecules are arranged in a manner but in amorphous structure molecules are…

Q: 1.- Calculate the number of iron atoms in a-1000-kg-of-iron. 2.- Calculate the volume in a cubic…

A: (1) From the given table, write the atomic mass of iron. Atomic mass=55.847 g/mol

Q: 4.32 Molybdenum forms a substitutional solid solu- + tion with tungsten. Compute the weight percent…

Q: Consider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice…

Q: Compute the percent ionic and covalent character (%IC) of the interatomic bond that forms between…

Q: 6. Within a cubic unit cell, sketch the following directions: (a) [710] (e) [771] (b) [121] (f)…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Estimate the number of atoms that exist in a cubic centimeter of a solid material. This process will…

A: Given, Density = ρ = 6.11 g/cm3Molar mass = M = 50.942 g/molVolume = V = 1 cm3 We will first find…

Concept explainers

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.

Question

7) Silver nanoparticles are embedded in clothing fabric to kill odor-causing bacteria.
Silver crystallizes in an fcc unit cell.
a. How many unit cells are present in a cubic silver particle
with an edge length of 35 nm?
b. How many silver atoms are there in this particle?
c. If there are 1500 µg of silver per sock, how many of
these particles does this mass correspond to?
Heating Curve
Temperature
Boiling point
Melting point
Solid and liquid
in equilibrium
A
Solid
B
C
Liquid and vapor
in equilibrium
Liquid
Time
D
Vapor

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: Write the given data and what is to find

VIEW

Step 2: (a) Determine the number of unit cells present:

VIEW

Step 3: (b) Determine the number of silver atoms present:

VIEW

Step 4: (c) Determine the number of particles in the mass of the silver sock:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Principal Metallic Crystal Structures and Crystal Structure Analysis

Learn more about

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

Similar questions

Sodium chloride (NaCl) has the rock salt crystal structure and a density of 2.17 g/cm³. The atomic weights of sodium and chlorine are 22.99 g/mol and 35.45 g/mol, respectively. (a) Determine the unit cell edge length. nm (b) Determine the unit cell edge length from the radii in the table below assuming that the Nat and Cl- ions just touch each other along the edges. nm Cation Mg2+ Fe2+ Na+ Ionic Radius (nm) 0.072 0.077 0.102 Anion Ionic Radius (nm) CI- 0²- 0.181 0.140
2. How to find what a materials crystal structure is? (FCC, BCC or neither FCC or BCC or others) 3. Describe the crystal structure of iron, which crystallizes with two equivalent metal atoms in a cubic unit cell. 4. Silver has a face-centered cubic unit cell. How many atoms of Ag are present in each unit cell? 5. Copper crystallizes in a face-centered cubic structure. What is the mass of one unit? 6. What is the edge length of a simple cubic unit cell made up of atoms having a radius of 158 pm? 7. State the number of atoms on a plane having the miller indices of 110 in a BCC unit cell.
Assume we have to accommodate 18 million books, each of which has 1 billion characters. If each character can be written using 100atoms, and if the bulk atoms can be used, calculate the size of an object (in nanometers) that can accommodate all the 18 million books. Assume one atom occupies a space which is 0.25 nm in size
Copper is a typical face-centered-cubic metal. In its pure state, it has extremely high electrical conductivity. Oxygen in copper causes a major reduction of conductivity. To investigate this issue further, I want to you to tell me whether oxygen atoms substitute for copper atoms, or if they enter interstitial sites.
A paper clip has a mass of 10.75 grams and is made of gold. (FCC, R = 0.1442 nm), calculate: a) The number of unit cells in the sample volume. b) The number of atoms contained in the volume of the sample.
Question 14 White tin (Sn) is known to crystallize into a body-centered tetragonal cell shown below. In this cell, a= b= 0.35 nm and c= 0.25 nm (c is the dimension along the z-axis). Atoms are touching along the directions. The interaxial angles are all 90°. Calculate the Atomic Packing Factor. OO O 0.34 0.24 0.36 0.16 0.73 0.68 of White Tin
Determine the indices for the directions shown in the following cubic unit cell. Part 1 Z We begin with Direction A. (a) What is the x coordinate of the vector tail (x₁)? (b) What is the x coordinate of the vector head (x2)? (c) What is the y coordinate of the vector tail (y₁)? (d) What is the y coordinate of the vector head (y2)? (e) What is the z coordinate of the vector tail (2₁)? (f) What is the z coordinate of the vector head (z₂)? Fractional entries should be expressed in decimal form. H +y
1. Is there a difference in packing (coordination number) between these two types (FCC and HCP) of structures? 2. Look at the two structures. A small difference in arrangement of atoms causes a dramatic difference in the properties of FCC ductile metals and HCP brittle metals. Can you see it? Try to draw the differences (You can draw the 3-layers separately):
Which of the following have the same periodicity as the crystal lattice: a) electron wave function, b) electron distribution probability, c) lattice potential
HCP crystals have a higher atomic packing factor than BCC crystals. Explain either way. Moving to another question will save this response. L W
Lead and Aluminum both have FCC crystal structures. Given the following information and knowing that solid aluminum has a density of 2.71 g/cm3, determine the density of solid lead in g/cm3 Atomic Weight (amu) Atomic Radius (nm) Aluminum 26.98 0.143 Lead 207.2 0.175
I want 3.47 3.58 3.60 Thx