Silicon crystallizes in a cubic structure.If the edge length of the unit cell is 543pm and the density of the crystal is2.33 g/cm3, how many Si atoms are inone unit cell? Aunt Julie went to the jewelry storeto buy a gift for her amiga. As an auntfrom Poveda, she knows that thekarat scale is based on masspercentages. She was also informedby Uncle Bruno that pure gold isequivalent to 24 karats. If she boughta bracelet made of gold alloy that is50 mol% silver and 50 mol% gold,what is the karat number of thebracelet?

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

Answered: Silicon crystallizes in a cubic…

Silicon crystallizes in a cubic structure. If the edge length of the unit cell is 543 pm and the density of the crystal is 2.33 g/cm3, how many Si atoms are in one 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: Shown below is a representation of the unit cell of the mineral fluorite, CaF. The green spheres…

Q: Nickel metal has a density of 8.909 g/cm^3 and an atomic radius of 124.6 pm. a.) Calculate the…

Q: A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The…

A: Answer:- This question is answered by using the simple concept calculation of radium of the atom of…

Q: When platinum crystallizes, it forms face-centered cubic cells. The unit cell edge length is 392.3…

A: The formula for density of an ionic crystal can be given as follows; Density=z×MNa×a3 where z =…

Q: The density of potassium metal is 0.856 g/cm^3. Potassium atoms crystallize in a body-centered cubic…

A: The question is based on solid state. we have been given density of potassium crystal lattice. we…

Q: A hypothetical metal A with a BCC lattice structure has a density of 8.87 g/cm3.If a hypothetical…

A: Here density of metal A is given as 8.87 g/cm3. The formula to calculate the density is, d=Z×MNA×a3…

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

A: Answer:Here:

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

A: Given Density of metal ( d ) = 8.92 g/cm3 Crystal type = FCC lattice atomic radius of metal ( r )…

Q: Gallium has an orthorhombic structure, with an = 0.45258 nm, bo = 0.45186 nm, and Ar Co = 0.76570…

A: Given :

Q: A metal crystallizes in a body centered cubic unit cell. The radius of one atom = 1.66 x 10 -8 cm.…

A: Answer:Unit cell is the smallest unit of crytsal structure whose continuous repetition forms the…

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: An element has a molar mass of 195.1 g/mol crystallizes with a face-centered cubic unit cell. It has…

Q: A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The…

A: we have to calculate the lattice constant for the crystal

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

Q: A metal has a body-centered cubic lattice with a unit cell edge length of 2.866 Å (1 Å = 10⁻¹⁰ m).…

A: Given information:Edge length of unit cell (a) = 2.866 ÅDensity of metal (d) = 7.87 g/cm3

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

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: What is the volume of a single lattice cell in cubic centimeters for an atom with a radius of 151 pm…

A: Step 1:In face centered cubic cell the atoms are connected face diagonally. Thus,For face centered…

Q: Gold has a face-centered cubic arrangement with a unit cell edge length of 4.08 Å. How many moles…

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

Q: The density of PbSe at room temperature is 8.27 g/cm^3. Calculate the length of an edge of the PbSe…

A: Density of PbSe = 8.27 gcm3

Q: 2. Lead has a face centered cubic lattice with all atoms at the lattice points and a unit cell edge…

A: The crystal lattice formed from the repetition of cube shaped unit cells in three dimensions is…

Q: Copper has a body-centered cubic unit cell and has a density of 8.96 g/cm³. From this information,…

Q: Aluminum has a density of 2.7 g/cm^3 and crystallizes in a face-centered cubic structure. What is…

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: 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: Given that the edge length of an FCC unit cell is 674.0 pm, determine the radius of the atoms which…

A: Cyrstal lattice is the three dimensional arrangement of atoms in a crystal. The lattice can be of…

Q: There are 2 atoms or ions per unit cell in a body centered cubic structure. True False

A: The body centred cubic (BCC) structure, looks like this. There are 8 atoms in the corner each shared…

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

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

Silicon crystallizes in a cubic structure.
If the edge length of the unit cell is 543
pm and the density of the crystal is
2.33 g/cm3, how many Si atoms are in
one unit cell?

Aunt Julie went to the jewelry store
to buy a gift for her amiga. As an aunt
from Poveda, she knows that the
karat scale is based on mass
percentages. She was also informed
by Uncle Bruno that pure gold is
equivalent to 24 karats. If she bought
a bracelet made of gold alloy that is
50 mol% silver and 50 mol% gold,
what is the karat number of the
bracelet?

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The radius r of M atoms has been measured to be 158.pm .Calculate the lattice constant a of a crystal of M .Be sure your answer has the correct number of significant digits, and be sure it has the correct unit symbol.
A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The lattice constant a has been measured by X-ray crystallography to be 441. pm. Calculate the radius of an atom of M. Be sure your answer has the correct number of significant digits, and be sure it has the correct unit symbol.
In a simple cubic lattice (based on a single element) with atoms at each point in the lattice and with a lattice constant a, what is the density of atoms (number per unit area) on a surface (100) .
Chromium has a body-centered cubic unit cell, and a density of 7.19 g/cm3. Calculate the edge length of the unit cell, in pm. (The atomic mass of iron is 51.996 amu. Also, 1 amu = 1.661 × 10–24 g.)
An imaginary element with a radius of 267 pm and a density of 4.03 g/cm3 crystallizes in a face-centered cubic cell. Calculate the molar mass of the element in g/mol.
Which substance has the highest melting point? Kr Cl 2 Mg SiO 2 (silica) C 5H 12
The density of solid Ni is 8.90 g/cm³. How many atoms are present per cubic centimeter (cm³) of Ni? Ni atoms: atoms/cm3 As a solid, Ni adopts a face-centered cubic unit cell. How many unit cells are present per cubic centimeter (cm³) of Ni? unit cells: unit cells/cm3
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?
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