Magnesium oxide (mgo) has the rock salt crystal structure and a density of 3.58 g/cm3. the atomic weights of magnesium and oxygen are 24.31 g/mol and 16.00 g/mol, respectively. (a) determine the unit cell edge length.

Answers

Answer 1

Answer:

(a)  The unit cell edge length 0.421 nm

Explanation:

Lets calculate -:

Given -

density = [tex]3.58g/cm^3[/tex]

Molecular weight of MgO = 24.31 +16

                                           [tex]40.13 g/mole[/tex]

Avagadro number = [tex]6.022\times10^2^3[/tex]

In rock salt structure , there are four anions and four cations , hence Z=4 (Number of formula per unit cell)

Now, using the formula -

                     [tex]d=\frac{ZM}{N_Aa^3}[/tex]

               [tex]a=[\frac{ZM}{N_Ad}]]^\frac{1}{3}[/tex]

Now, putting the given values

   [tex]a=\frac{4\times40.13g/mole}{6.022\times10^2^3\times(3.58g/cm^3)}[/tex]

  [tex]4.21\times10^-^8 cm[/tex]

  = 0.421 nm

Hence , the unit cell edge length = 0.421 nm

Answer 2

The unit cell edge length of magnesium oxide (MgO) is equal to 0.421 nanometer.

Given the following data:

Density = 3.58 [tex]g/cm^3[/tex]Atomic weight of magnesium = 24.31 g/mol.Atomic weight of oxygen = 16.00 g/mol.

Scientific data:

Avogadro's number = [tex]6.02 \times 10^{23}[/tex]Z for FCC = 4Molar mass of magnesium oxide (MgO) = [tex]24.31 + 16 = 40.31 \;g/mol.[/tex]

To determine the unit cell edge length:

Mathematically, the unit cell edge length for a face-centered cubic (FCC) structure is given by the formula:

[tex]a=\sqrt[3]{\frac{ZM}{\rho N_A} }[/tex]

Where:

Z is the number of atoms per unit cell.[tex]\rho[/tex] is the density.M is the molar mass.[tex]N_A[/tex] is the Avogadro constant.

Substituting the given parameters into the formula, we have;

[tex]a=\sqrt[3]{\frac{4 \; \times \;40.31}{3.58\; \times \;6.02 \times 10^{23}} }\\\\a=\sqrt[3]{\frac{161.24}{2.16 \times 10^{24}}}\\\\a=\sqrt[3]{7.47 \times 10^{-23}} \\\\a=4.21 \times 10^{-8}\;meter[/tex]

Note: [tex]1 \;nanometer = 1 \times 10^{-9} \;meter[/tex]

a = 0.421 nanometer.

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Related Questions

I need help please!!​

Answers

Answer:

BECAUSE OF DENSITY

Explanation:

Answer:

It's DENSITY

Explanation:

YOURE WELCOME

Find [H+] of a 0.056 M hydrofluoric acid solution. Ka = 1.45 x 10-7

Answers

Answer:  [tex][H^+][/tex] of 0.056 M HF solution is [tex]8.96\times 10^{-5}[/tex]

Explanation:

[tex]HF\rightarrow H^+F^-[/tex]

 cM              0             0

[tex]c-c\alpha[/tex]        [tex]c\alpha[/tex]          [tex]c\alpha[/tex]  

So dissociation constant will be:

[tex]K_a=\frac{(c\alpha)^{2}}{c-c\alpha}[/tex]

Give c= 0.056 M and [tex]\alpha[/tex] = ?

[tex]K_a=1.45\times 10^{-7}[/tex]

Putting in the values we get:

[tex]1.45\times 10^{-7}=\frac{(0.056\times \alpha)^2}{(0.056-0.056\times \alpha)}[/tex]

[tex](\alpha)=0.0016[/tex]

[tex][H^+]=c\times \alpha[/tex]

[tex][H^+]=0.056\times 0.0016=8.96\times 10^{-5}[/tex]  

Thus [tex][H^+][/tex] of 0.056 M HF solution is [tex]8.96\times 10^{-5}[/tex]

Burning is a reaction in which oxides are formed by combining ______ and _________.

Answers

Carbon with monoxide

Answer:

Burning is a reaction in which oxides are formed by combining fuel(reductant) and oxidant.

Explanation: Ex charcoal and lighter fluid

Hope this helps

1. A sample of oxygen gas has a volume of 150 ml when its pressure is 440 mmHg. If the pressure is
Increased to standard pressure and the temperature remains constant, what will the new volume be?

Answers

Answer:86.84

Explanation:

help please. What type of reaction is this: barium nitrate --> barium oxide + nitrogen dioxide + oxygen

Answers

Answer:

Decomposition Reaction

Explanation:

Ba(NO₃)₂(s) ⇒ BaO(s) + N₂(g) + 3 O₂(g)

Barium nitrate decomposes into the chemical species that were used to create it.

Which of the following is a FALSE statement? *

A. Heat moves through solids by by conduction.
B. Molecules move faster in warmer substances.
C. Warm water is denser than cold water.
D. Heat moves through liquids and gases by convection.

Answers

Answer:

C: Warm water is denser than cold water

30g of Aluminum at 80°c is added to 30g of water at 10°c . Predict
the final temperature of the water

Answers

Answer:

the explanation of this 20

Explanation:

20 c

Waves made by the breeze were very different than wave created by speedboat. describe the difference

Answers

Answer:

The amplitude of the speedboat waves were larger then the Breeze waves. The frequency of the speedboats waves were lower than the breeze waves. the speedboat waves had more of an effect on the boat, which tells us the speedboat waves had more energy.

Explanation:

plz can i get brainliest:)

Answer:

speedboat waves artificail and waves by breezes natural

Explanation:

Groups of atoms repeat to make up a substance?

True
False

Answers

Answer:

ITS TRUE!!!!!

What does it mean to say that scientific models are open to change? (2 points)

a
Scientific models are usually not very accurate.

b
Scientific models can be adjusted when new information is found.

c
People can adjust scientific models to fit their personal beliefs.

d
Experimental results can be changed to fit the accepted model

Answers

Pretty sure the answer is B

What would be the most effective way for a scientist to get an idea of the actual age of a rock?

Answers

Answer:

Radiometric dating

Explanation:

Radiometric dating would be the most effective way since it is a technique that can establish the age of objects older than a few thousand years.

How much water needs to be added
to 55 mL of 3.0 M stock solution to
produce a .75 M solution?

Answers

Answer:

165 ml

Explanation:

We are given;

Initial volume; V_a = 55 ml

Initial molarity; M_a = 3 M

Molarity of desired solution; M_b = 0.75 M

Volume of desired solution; V_b = (55 + x) ml

Where x is the volume of water to be added.

To solve for V_b, we will use the equation ;

M_a•V_a = M_b•V_b

V_b = (M_a•V_a)/M_b

V_b = (3 × 55)/0.75

V_b = 220 mL

Thus;

(55 + x) = 220

x = 220 - 55

x = 165 mL

Answer:

gotta concert mL to L

3.0=mol/0.055( you multiply morality and liter)

0.165 mol

you divide the mole by the other given molarity

0.165/0.75= 0.22 L

0.22 *1000= 220 mL

Explanation:

In a heat engine, 500 J of heat enters the system, and the piston does 300 J of work. What is the final internal (thermal) energy of the system if the initial energy is 1500 J?

200 J
800 J
1300 J
1700 J

Answers

Answer:

200J

Explanation:

This is because 500J - 300J = 200J

I hope this helps!!!

Answer:

1700 Joules. I Took the test.

Explanation:

Hello Friends Can Yall Plz Help Me For Brainliest Don’t Comments No B.S Yu Will Get Cursed out show ya work

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Answer:

it is b

Explanation:

mid ocean ridge diverges meaning it moving in two different direction horizontally - left to right

Explain how scientists study the Earth’s interior. PLEASE HELP :))))!

Answers

Answer:

Scientists study Earth's interior by studying

seismic waves. Seismic waves are waves of energy that travel

through Earth.

Explanation:

My teacher didn’t explain this. Please Help Me!!

Due to their low melting points nitrogen oxygen and helium are examples of which type of matter when at room
temperatures?

A. Gas
B.liquid
C.Plasma
D. Solid

Answers

A. Gas

Oxygen is a gas at room temperature

An unknown piece of metal absorbs 1350 J of heat as 55.0 g of the metal heats up from 20.0 oC to 47.0 oC

Answers

Answer:

[tex]C=0.91\frac{J}{g\°C}[/tex]

Explanation:

Hello there!

In this case, according to the given information, it is possible to recall the equation to calculate the heat, Q, in these calorimetry problems as shown below:

[tex]Q=mC(T_f-T_i)[/tex]

Thus, given the absorbed heat, mass and temperatures, we can easily calculate the specific heat of the metal as shown below:

[tex]C=\frac{Q}{m(T_f-T_i)}[/tex]

Then, by plugging in we obtain:

[tex]C=\frac{1350J}{55.0g(47.0\°C-20.0\°C)} \\\\C=0.91\frac{J}{g\°C}[/tex]

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Answers

Answer:

C

Explanation:

increasing T (knowledge of direct proportion and Inverse proportion)

C . Po ang tamang sagot

Question 19 (3 points)

If the density of the earth was 11.0 g/mL instead of its measured value of 5.51 g/mL, the force of gravity would

be twice what it is at sea level. If the earth's density was twice than its actual density, then in pounds per

square inch at sea level the earth's atmosphere in British units would be equal to:

a) 7.35 psi b) 14.7 psi c ) 29.4 psi d) 44.1 psl e) 98.8 psi

Answers

Answer:

c ) 29.4 psi

Explanation:

If the density of earth was twice than its actual density which is 5.51 g/mL, then at sea level the atmospheric pressure of earth in British units would be equal to 29.4 psi because increase of gravity, increase occurs in the atmospheric pressure.  If we double the gravity of earth by double of the earth density, so the weight of that same mass of air will be double which leads to the doubling of the atmospheric pressure at the sea level.

A gaseous mixture contains 5.0 moles of nitrogen and 10.0 moles of helium . What is the total pressure if the temperature is 25 degrees C and the volume is 3.0 L? a) 122 atm
B) 56 atm
d) 2.0 atm
C)3.0 atm

Answers

Answer:

A) 122 atm

Explanation:

PV = nRT

Solve for P --> P = nRT/V

n = 10.0 mol + 5.0 mol = 15.0 mol

R = 0.08206 L atm / mol K

T = 25 + 273 = 298 K

V = 3.0

P = (15.0)(0.08206)(298) / (3.0) = 122 atm

A boy is skating down the street, hits a curb, and files off the board. Why did this happened? Can y’all plz help me it’s due today!

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Answer:

to much sause

Explanation:

NEED HELP ASAP
You need to prepare a 100. mL of a 0.050M solution of CaCl2. How many grams of CaCl2 are needed?

Answers

Answer:

9.

Explanation:

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A lake has been infected by some type of new algae that is unknown. Every single day the amount of surface area that the algae takes up doubles. Day 1 has a certain amount, day 2 it is 2x that amount. It takes 87 days for the entire lake to be overrun by this new algae. How many days does it take to cover half of the lake? Show your work and explain your thinking. In science we need to be able to justify our answers.




hint: It is not the "obvious" answer.

Answers

Answer:

It takes 86 days take to cover half of the lake

Explanation:

In the day #1, the amount of the algae is X,

In the day #2 is 2X

In the day #3 is 2*2*X = X*2²

...

In the day #n the amount of the algae is X*2^(n-1)

Assuming X = 1m³. In the day 87, the area infected was:

1m³*2^(87-1)

7.74x10²⁵m³ is the total area of the lake

the half of this amount is 3.87x10²⁵m³

The time transcurred is:

3.87x10²⁵m³ = 1m³*2^(n-1)

Multiplying for 5 in each side:

ln (3.87x10²⁵) = ln (2^(n-1))

58.9175 = n-1 * 0.6931

85 = n-1

86 = n

It takes 86 days take to cover half of the lake

Which of the following statements is not true? a. Water is polar. b. Water stabilizes temperature. c. Water is essential for life. d. Water is the most abundant atom in Earth’s atmosphere.

Answers

Answer: d. Water is the most abundant atom in Earth’s atmosphere.

Explanation:

Water percentage in the atmosphere is 0.001 percent only as it not the major reservoir or source of water. The water is available in the atmosphere in the form of water vapors. These water vapors when aggregate and their concentration becomes high they fall down as rain on earth so the rain is collected in water reservoirs like oceans, rivers, lakes, ponds, aquifers, and other sources of water, which are the components of hydrosphere on earth. So, hydrosphere is most abundant in water. Moreover, water is not an atom instead it is the molecule formed by the combination of two molecules of hydrogen and one molecule of oxygen.

HCl (aq) + NaOH (aq) = NaCl (aq) + H2O (l)

What type of reaction is the above?​

Answers

Answer:

Neutralization reaction

Explanation:

It is a reaction between an acid and a base


Balance C12H22011 → C + H2

Answers

Answer:

What is this?

Explanation:

Put the following in order from largest to smallest.
Chromosome, gene, nucleus, cell, DNA

Answers

Answer:

cell, nucleus , chromosome, DNA, gene

Look at the following enthalpy diagram. Select all that apply.
1. The products have more energy than the reactants.
2. This is an addition reaction.
3. A large activation energy is required for this reaction to take place.
4.The products are more stable than the reactants.
5. This is a substitution reaction.

Answers

Answer:

Option 2 and 4 are correct

Explanation:

The reactants in the attached image have more enthalpy and hence less stability as they are more reactive. Thus, Product is more stable than the reactants.

This is an addition reaction in which two reactants add up to form the product.

Very less activation energy is required as the reactants themselves are unstable, possess high energy and hence are very reactive.

Reactants have more energy than the products.  

You have a hydrate of compound X that is 60.26g. You heat the hydrate, allow it to cool, and then remass it. The new mass is 23.0g. The molar mass of compound X as an anhydrate is 100 g/mol.

Answers

Answer:

100gmol

Explanation:

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Answers

Explain ways humans can reduce global warming

The list of ways humans can reduce global warming includes: driving affordable electric cars, increasing the use of wind and solar energy in communities, and reducing water waste like plastic bottles. Greenhouse gases in the atmosphere cause global warming and air pollution. Also, reducing wastage that affects our soil benefits agriculture and freshwater locations. Conserve energy by turning off your lights, walking or riding your bicycle, and invest in solar energy. Solar energy can decrease greenhouse gas emissions in our air that we beathe! Affordable solar energy helps the enviorment and poorer communites with reducing air pollution.

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