aluminum (al) has a density of 2.70 g/cm3 and crystallizes as a face-centered cubic structure. what is the unit cell edge length?

Answers

Answer 1

To find the unit cell edge length of aluminum, we need to first identify its crystal structure, which is face-centered cubic (FCC). In an FCC structure, each corner of the cube is occupied by an atom, and there are additional atoms in the center of each face. Unit cell length is 4.95 * [tex]10^{-23}[/tex].

This results in a total of 4 atoms per unit cell. The volume of the unit cell can be calculated using the formula: V = [tex]a^{3/4}[/tex] Where a is the edge length of the cube.

We know that the density of aluminum is 2.70 g/cm3, which means that the mass of one unit cell can be calculated as: mass = density x volume mass = 2.70 g/cm3 x [tex]a^{3/4}[/tex]

Simplifying this equation, we can find a in terms of the given density: a = (4 x mass / (density x π))[tex]1^{1/3}[/tex] Since we are given the density of aluminum, we can substitute the values of mass and density into this equation to find the edge length of the unit cell.

Using the atomic mass of aluminum (26.98 g/mol) and Avogadro's number ([tex]6.022 x 10^{23}[/tex] atoms/mol), we can calculate the mass of one aluminum atom as: mass of one atom = 26.98 g/mol / (6.022 x [tex]10^{23}[/tex] atoms/mol) = 4.48 x [tex]10^{23}[/tex] g/atom

Assuming one unit cell contains 4 atoms, the mass of one unit cell can be calculated as: mass = 4 x 4.48 x [tex]10^{23}[/tex] g/atom = 1.79 x [tex]10^{23}[/tex]g Substituting this value and the given density of 2.70 g/cm3 into the equation for a, we get: a = ([tex]4*1.79*10^{-22}[/tex] g / [tex](2.70 g/cm^{3)x^{1/3}[/tex] = [tex]4.05 10^-8[/tex] cm

Therefore, the unit cell edge length of aluminum in its FCC crystal structure is approximately[tex]4.05 x 10^-8[/tex] cm.

Know more about edge length here:

https://brainly.com/question/29149665

#SPJ11


Related Questions

Which of the following is the correct definition of partial pressure *
A) The total pressure exerted by all gases in the mixture
B) The contribution each gas in a mixture makes to the total pressure
C) The space occupied a gas in the mixture
D) The amount of gas particles present in a mixture

Answers

Answer:A

Explanation:

Which statement correctly describes soil horizon C? A. It is considered the subsoil layer. B. It is the horizon with the smallest rock pieces. C. It is also referred to as the bedrock layer. D. It is the horizon that contains the least humus.
Help I'll help y'all
heyyyyy.

Answers

Answer:

It's D, it is the horizon that contains the least humus.

Explanation:

I just did the test

The  statement which correctly describes the soil horizon is option B. The horizon B contains the the smallest rock pieces. It is also called the subsoil layer.

What is soil horizon?

Soil horizon contains different layers of soil which are classified based on the composition of the soil and the presence of rocks within the soil. The primary level of the soil is rich in humus. The decomposed of matter of plants and animals are called humus. On which the plants are growing.

The secondary level of soil horizon or the subsoil level contains some small rocks also onto which the roots of plants does not adhere so much. The third level of soil horizon contains bigger rocks with small gaps between them.

The last layer of the soil horizon is called bedrock layer containing bigger rocks with no significant gaps between them It is called the bedrock layer.

To find more on soil horizon, refer here:

https://brainly.com/question/2416348

#SPJ2

If the point of the nail can be approximated as a circle with a radius 2.00×10^-3m What is the pressure in MPa exerted on the wall if a hammer strikes the nail with a force of 104 N

Answers

Answer:

8.28 MPa

Explanation:

From the question given above, the following data were obtained:

Radius (r) = 2×10¯³ m

Force applied (F) = 104 N

Pressure (P) =?

Next, we shall determine the area of the nail (i.e circle). This can be obtained as follow:

Radius (r) = 2×10¯³ m

Area (A) of circle =?

Pi (π) = 3.14

A = πr²

A = 3.14 × (2×10¯³)²

A = 3.14 × 4×10¯⁶

A = 1.256×10¯⁵ m²

Next, we shall determine the pressure. This can be obtained as follow:

Force applied (F) = 104 N

Area (A) = 1.256×10¯⁵ m²

Pressure (P) =?

P = F / A

P = 104 / 1.256×10¯⁵

P = 8280254.78 Nm¯²

Finally, we shall convert 8280254.78 Nm¯² to MPa. This can be obtained as follow:

1 Nm¯² = 1×10¯⁶ MPa

Therefore,

8280254.78 Nm¯² = 8280254.78 Nm¯² × 1×10¯⁶ MPa / 1 Nm¯²

8280254.78 Nm¯² = 8.28 MPa

Thus, the pressure exerted on the wall is 8.28 MPa

100 POINTS PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i need this im struggling with my work

Explanation:

Last one and the first

What is earth's crust mainly composed of ​

Answers

Answer:

The crust is made of solid rocks and minerals. Beneath the crust is the mantle, which is also mostly solid rocks and minerals, but punctuated by malleable areas of semi-solid magma. At the center of the Earth is a hot, dense metal core.

Explanation:

Answer:

The crust is made of solid rocks and minerals. Beneath the crust is the mantle, which is also mostly solid rocks and minerals, but punctuated by malleable areas of semi-solid magma.

BF3
What is The calculation and bond type

Answers

Bond order is 1 1/3 the type of bond is it’s a covalent bond

Which is true of an element?

a
It is the purest substance
b
It has different kinds of atoms
c
It is a mixture
d
The atoms always exist as single atoms

Answers

Answer:

b it has different kinds of atoms

Answer:

it has different kind of atom

Explanation:

i think

Describe the similarities and/or differences between heating and burning the magnesium metal. Did either heating or burning produce a chemical change?

Answers

Answer and Explanation:

Heating the magnesium metal is a physical change because after the process, the magnesium metal is still magnesium metal and no other substance is formed. When we heat the metal, we tranfer energy and the temperature is raised. It could include the melting of the metal, which is a change in the state of matter, but it is still a physical change because no chemical reactions occur.

Burning the magnesium metal is a chemical change because it involves the reaction with O₂ to form a different compound (a magnesium oxide).

Question 8
Which one of the following salts does not contain water of crystallisation?​

Answers

Baking soda is sodium bicarbonate in anhydrous form without any water of crystallisation and it is widely used as dry fire extinguisher because of its alkali nature.

Answer:

pb

Explanation:

dosn't contain water of crystallization

What is on the left side of the arrow 2H2+1O2 --> 2H2O

Answers

Answer:

The correct answer is - reactants.

Explanation:

In any chemical reaction, there is an arrow that distinguishes the two major components of the chemical equation by placed in between them. These two components are reactants and products.

OftenlThe reactants placed on the left side of a chemical equation and the products placed on the right side of a chemical equation. In this given case, the reactants 2H2 + 1O2 are placed on the left side of the equation.

What is the formula for CNHO

Answers

Answer:

this is basically structure of iso cyanic acid

Can someone help me ASAP.

Answers

Answer:

This type of mutation occurs when one or more base pairs are added to the gene sequence: insertion

This type of mutation occurs when one or more base pairs take the place of other base pairs in the gene sequence: substitution

Cu + HNO3 --> Cu(NO3)2 + NO + H2O
how to balance... WILL GIVE 15 POINTS

Answers

Answer:

3 Cu + 8 HNO3 --> 3 Cu(NO3)2 + 2 NO + 4 H2O

Explanation:

Make sure both sides are equal

3 Cu + 8 HNO3 --> 3 Cu(NO3)2 + 2 NO + 4 H2O

// start by those elements that change their oxidation degree

Cu and N

// also you can write reduction-oxidation reactions

[tex]Cu^{0}[/tex] + 2 [tex]e^{-}[/tex] --> [tex]Cu^{-2}[/tex] | 2

[tex]N^{+5}[/tex] - 3 [tex]e^{-}[/tex] -->  [tex]N^{+2}[/tex] | 3

// write the numbers of electrons that are lost/gained as the coefficients of the opposite elements

// then check if H and O are the same on both sides

// adjust if they aren't.

Answer:

Explanation:

3Cu + 2HNO3 --> 3Cu(NO3)2 + 2NO + 2H2O

What happens during meiosis that does NOT happen during mitosis?
A new cells are formed
B two rounds of cell division
C DNA is passed on to the daughter cells
D parent cells grow in size before division
please help

Answers

Answer is B two rounds or cell division

describe meteor showers​

Answers

Answer:

a rain of asteroids coming from space

Explanation:

Meteor showers occur when dust or particles from asteroids or comets enter Earth's atmosphere at very high speed. When they hit the atmosphere, meteors rub against air particles and create friction, heating the meteors. The heat vaporizes most meteors, creating what we call shooting stars.

Practice Problem #2: How many atoms
of Ba are in 7.8 moles of Ba?

Answers

[tex]7.8 \: mol = \frac{6.02 \times {10}^{23} atoms}{1 \: mol} = 4.6956 \times {10}^{24} \: atoms[/tex]

round as you wish.

what is the answer to this​

Answers

Answer:

Explanation:

i may be wrong but i think its b

Answer:

B Ndaira is right for real

Solid potassium chlorate breaks into potassium chloride and oxygen gas when heated up to high temperature. This is an example of a/an _______ reaction.

Answers

Answer:

es correcto bro claro eres un crak

Answer:

Decomposition Reaction

Explanation:

You can determine the type of reaction by writing out a balanced equation.

Solid Potassium Chlorate: KClO3

Potassium Chloride: KCl

Oxygen Gas: O2

Balanced Equation: 2KClO3 -> 2KCl + 3O2

By definition, a decomposition reaction is when a single substance decomposes into two more simpler substances. AB -> A + B

Because the solid potassium chlorate is breaking into two substances, potassium chloride and oxygen gas, it is a decomposition reaction.


While driving down the road, a tiny hummingbird hit the windshield of
Maria's car. This is a clear case of Newton's 3rd law of motion. The
hummingbird hit the car and the car hit the hummingbird. How do the
forces on the hummingbird and the windshield compare?*
The forces are equal and opposite.
The force on the windshield is greater
The force on the hummingbird is greater
The force on the hummingbird is less than that of the windshield.

Answers

Answer:

2

Explanation:

Answer:

a

Explanation:

i just took it

What molecular geometry would be expected for BF3 and NH3?

Answers

Answer:

Boron trifluoride would have a trigonal planar geometry.Ammonia would have a trigonal pyramidal geometry.

Explanation:

There are three valence electrons in a boron atom.

In boron trifluoride, the central boron atom did not achieve an octet with eight valence electrons. Rather, that boron atom would be electron deficient with only six valence electrons.

Each of the three fluoride atoms would have shared one valence electron with that boron atom, with a total of three boron-fluorine single bonds. On the other hand, all three of the valence electrons of that boron atom would be involved in bonding. Hence, there would be no extra valence electrons to act as lone pairs on that boron atom.

Hence, the central boron atom would have three electron domains (one for each boron-fluorine bond) with none of the electron domains coming from lone pairs. By the VSEPR theory, the geometry of the molecule would be trigonal planar. All four atoms in this molecule would be in the same plane.

There are five valence electrons in a nitrogen atom.

In ammonia, the central nitrogen atom is indeed able to achieve an octet (with eight valence electrons in total.) Three of the five valence electrons of nitrogen would form a total of three hydrogen-nitrogen bonds. The other two valence electrons would form a lone pair.

Hence the central nitrogen atom would have four electron domains (one for each of the three hydrogen-nitrogen bond, and one for the lone pair.) Hence, by the VSEPR theory, the geometry of this molecule would be trigonal pyramidal.

I WILL GIVE YOU BRANILY PLS

Answers

Answer:

what dose this even mean?

Explanation:

Which of the following statements is TRUE about the loose rocks on the surface
of the earth? (SC.6.E.6.1
Both the large loose rocks and the small loose rocks used to be part
of earth's solid rock layer.
The large loose rocks used to be part of earth's solid rock layer, but
the small loose rocks were never part of the solid rock layer.
The small loose rocks used to be part of earth's solid rock layer, but
the large loose rocks were never part of the solid rock layer.
Neither the large nor the small loose rocks used to be part of earth's
solid rock layer

Answers

Answer:B

Explanation:

Answer:

Both large loose rocks and the small loose rocks used to be apart of the earths solid rock layer.

Explanation:

what is a second degree burn​

Answers

a second degree burn is a burn that affect the first and second layers of your skin. it may develop blisters and look wet or moist. the pain caused can be very severe

Write the word and balanced chemical equations for the reaction between:
Copper + zinc nitrate (zinc is more reactive than copper)

Answers

Answer:

Word Equation:

Zinc + Copper (II) nitrate → Copper + Zinc nitrate

Formula Equation:

Zn (s) + Cu(NO3)2 (aq) → Cu (s) + Zn(NO3)2 (aq)

Ionic Equation:

Zn (s) + Cu2+ (aq) → Zn2+ (aq) + Cu (s)

Description

A 1 gram granule of zinc metal was dropped into a test tube containing 10 cm

3

of clear blue copper nitrate solution (1 M). The zinc quickly began to react with the solution producing a clear green solution and a darker solid at the bottom of the test tube.

Explanation:

The freezing point of a substance is the
at
which it freezes.

Answers

Answer:

reff lagay mo yung ilalagay mo

Answer:

Freezing point is the temperature at which a liquid becomes a solid at normal atmospheric pressure. Alternatively, a melting point is the temperature at which a solid becomes a liquid at normal atmospheric pressure.

1) In which state of matter will particles move the fastest?​

Answers

Answer:

Gases

Explanation:

The particals will move around rapidly in all directions.

. How many grams of magnesium chloride can be produced by reacting 2 moles of chlorine gas with excess magnesium bromide? ____Cl2 + ____MgBr2  ___MgCl2 + ___Br2

Answers

Answer: 190 g of magnesium chloride can be produced by reacting 2 moles of chlorine gas with excess magnesium bromide.

Explanation:

The balanced chemical reaction is;

[tex]Cl_2+MgBr_2\rightarrow MgCl_2+Br_2[/tex]

[tex]Cl_2[/tex] is the limiting reagent as it limits the formation of product and [tex]MgBr_2[/tex] is the excess reagent.

According to stoichiometry :

1 mole of [tex]Cl_2[/tex] produces = 1 mole of [tex]MgCl_2[/tex]

Thus 2 moles of [tex]Cl_2[/tex] will produce=[tex]\frac{1}{1}\times 2=2moles[/tex]  of [tex]MgCl_2[/tex]

 Mass of [tex]MgCl_2=moles\times {\text {Molar mass}}=2moles\times 95g/mol=190g[/tex]

Thus 190 g of magnesium chloride can be produced by reacting 2 moles of chlorine gas with excess magnesium bromide

What drives this process

Answers

Answer:

B

Explanation:

cool air never rises so not A

C would mean its getting warmer

and heat flows from warm to cool so not D

we are left with B

if my anwser helps please mark as brainliest.

The answer to your question is C.
Convection currents in the air.


This phenomena is called an offshore breeze. At night, land is cooling faster than water; the air above the land also cools and, therefore, its density grows. As a result, the pressure above the land is greater than above the water, and the air moves from the regions with higher pressure (land) to the ones with lower pressure (water).

Picture a neutral S atom. This neutral atom will have
valence electrons. To reach a more stable configuration, this atom will
(gain, lose) electrons. The charge of the ion that forms will be
ASAP please

Answers

Answer:

it will have 6 valence electrons

it will gain electrons

charge will be 2-

Which structures join with the cell’s membrane during exocytosis?

Answers

Answer:Exocytosis is also used to integrate new proteins into the cell membrane. In this process, the new protein is formed inside the cell, and migrates to phospholipid bilayer of the vesicle. The vesicle, containing the new protein as a part of the phospholipid bilayer, fuses with the cell membrane.

Explanation:

Other Questions
What volume of carbon dioxide (molar mass = 44.00 g /mol)(in l) will 13.26 g of antacid made of calcium carbonate (molar mass = 100.09 g /mol) produce The length of timber cuts are normally distributed with a mean of 95 inches and a standarddeviation of 0.52 inches. In a random sample of 30 boards, what is the probability that themean of the sample will be between 94.7 inches and 95.3 inches?O 0.998O 0.436O 0.002O 0.950 Write a program that uses the variables below and inverses the value from name to reverseName (reversing the order of the name to aznA eD). data name BYTE ""De Anza"" reverseName BYTE ? VeCo, which uses the perpetual method, records merchandise purchases at gross. On October 3, VeCo buys $42,000 of merchandise on account. Terms are 2/10,n/40. On October 9, VeCo returns goods that cost $10,000. On October 11, VeCo pays $31,360. What entry does VeCo record on October 11? a. Accounts Payable 31,360 Cash 31,360 b. Accounts Payable 32,000 Cash 31,360 Purchase Discounts 640 c. Accounts Payable 32,000 Cash 31,360 Inventory 640 d. Accounts Payable 31,360 Purchase Discounts 640 Cash 31,360 Inventory The time-averaged intensity of sunlight that is incident at the upper atmosphere of the earth is 1,380 watts/m2. What is the maximum value of the electric field at this location?a.1,020 N/Cb.840 N/Cc.660 N/Cd.1,950 watts/m2e.1,200 N/C 8. Which best explains why it is so difficult to preserve the wild tiger population? a. Tigers do not get along with most other animals. b. Tigers must make their homes close to rivers and the worlds rivers are evaporating. c. Tigers require a lot of space. d. Tigers hunt in large packs and there are too few tigers left to make these packs. 9. Which of the following is an opinion? a. Tigers can grow up to eleven feet long. b. Saving the wild tiger population is important. c. South China tigers were brought to live in South Africa. d. Humans have endangered the worlds wild tiger population. 10. Based on context, which best defines the term rewilded as used in the last paragraph? a. To preserve animals by keeping them in zoos b. To teach animals to coexist with humans c. To teach humans to coexist with animals d. To bring animals born in zoos back to nature 11. What does this idiom mean: other parts of the tiger can also fetch a pretty penny? a. The fur is the only valuable part of the tiger. b. Other parts of the tiger are worth a lot of money. c. The tiger is a very beautiful animal. d. Tigers can be trained to do tricks like in the circus. 12. Which of the following could be best supported by information from the text? a. Efforts to save tigers have had some success, but there are many obstacles to recovery. b. Efforts to save tigers have failed in the past, but there is reason to continue trying. c. Efforts to save tigers have been so successful that they saved tigers from endangerment. d. Efforts to save tigers have failed completely in terms of stress response, one symptom turfgrasses have in common under both high drought (but where recovery is still possible) and high/excessive soil moisture is ______________________. void foo(int a[], int b) { a[0] = 2; b = 2; } int main(int argc, char **argv) { int x[4]; x[0] = 0; foo(x, x[0]); based on the following information compute cash flow financing activities purchase opf shor term investments Frakoris teacher suggest that it would be beneficial if he participated in a formal arrangement where he learned trade-specific vocational skills, related to his job interests, over an eight-month period. What type of work experience does his represent? Find the limit, if it exists,Lim (x, y) -> (0, 0) xy/(x^2+y^2)to examine lim (x, y) (0, 0) xy/(x^2+y^2), first approach (0, 0) along the x-axis. on this path, all points have _________ (6 points) let s be the relation on the set r (real numbers) defined by xsy, if and only if x y is an integer. prove that s is an equivalence relation on r. The organs of the senses of soil nematodes are much lessdeveloped than those of flatworms living in water. Explain why it isthe case.Many parasitic nematodes, such as human roundworms, can feed onhuman blood which they suck from the intestinal wall. Explain whatconsequences for the host organism it can have. 1. please write done the general attitude dynamic equation. (5 points) 2. list three attitude control methods and compare their advantages and disadvantages. Mario, the owner of Shear Delight Salon, has asked you to consult on his business. Shear Delight employs five stylists, two shampoo techs, a massage therapist, and a receptionist. Mario asks for your advice on whether he should hire a manager. What advice would you give him? conditional data transfers offer an alternative strategy to conditional control transfers for implementing conditional operations. they can only be used in restricted cases. true false Please select the group (a)-(1) above that contains the bias committed by the statement below. (a) Context-based Biases Confirmation bias; Observer-expectancy bias; Anchoring effect; The framing effect; Selective attention; The availability bias (b) Group-based Biases Groupthink; The bystander effect (c) Egocentric Biases Self-serving attribution error; Self-serving recollection bias; The Barnum (or Forer) effect; The spotlight effect; False- consensus bias (d) Pessimism and Optimism Biases Declinism; The halo effect; Just-world bias; The placebo effect (e) Knowledge & Memory-Related Biases Clustering illusion; Frequency illusion (or Baader Meinhof phenomenon): Stereotyping: The dunning.kruger effect; The curse of knowledge; Recency; Misinformation effect; The Hindsight Bias: Outcome bias; Confabulation (f) Other Miscellaneous Biases Omission bias; Status quo bias; Ostrich effect; Loss aversion; The sunk-cost fallacy Statement: A man in a busy street is clearly in need of help, but no-one offers it.a b c d e f Which detail best helps readers imagine the scene? compare or contrast the populists with the progressives - were they more similar or different? 22) The parents of a college student set up anaccount for her with an inital deposit of$5,000. They set up automatic deposits of$100 per week. Write and solve an equation to determinehow much money the student will haveafter 15 weeks.