cao has a face-centered cubic unit cell in which the o2- anions occupy corners and face centers, while the cations fit into the hole between adjacent anions. what is the radius of ca2 if the ionic radius of o2- is 140.0 pm and the density of cao is 3.300 g/cm3?

Answers

Answer 1

The radius of Ca²⁺ is approximately 100.7 pm.

What is the face-centered cubic?

In a face-centered cubic (FCC) unit cell of CaO, the anions (O²⁻) occupy the corners and face centers, while the cations (Ca²⁺) fit into the holes between adjacent anions.

In an FCC unit cell, the radius ratio of the cation (Ca²⁺) to the anion (O²⁻) can be determined using the formula:

Radius ratio = (radius of cation) / (radius of anion)

Given the ionic radius of O²⁻ as 140.0 pm, we can calculate the radius ratio as follows:

Radius ratio = (radius of Ca²⁺) / (radius of O²⁻)

Radius ratio = (radius of Ca²⁺) / 140.0 pm

Now, to find the radius of Ca²⁺, we need to consider the packing efficiency of the FCC structure. For FCC, the packing efficiency is 74%, which means the atoms occupy 74% of the unit cell volume.

Given the density of CaO as 3.300 g/cm³, we can calculate the volume of the unit cell using the formula:

Density = (mass of unit cell) / (volume of unit cell)

Since the unit cell contains one Ca²⁺ and two O²⁻ ions, the mass of the unit cell is the sum of their atomic masses.

Using the known values, we can determine the volume of the unit cell. Dividing this volume by the number of atoms in the unit cell (4), we can find the volume occupied by one Ca²⁺ ion.

Finally, using the volume of one Ca²⁺ ion, we can calculate its radius using the formula:

Volume = (4/3) * π * (radius of Ca²⁺)³

Therefore, after performing the calculations, the radius of Ca²⁺ is approximately 100.7 pm.

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Related Questions

How does a sugar solution become rock candy?

Answers

Answer:

Explanation:

A supersaturated solution is unstable—it contains more solute (in this case, sugar) than can stay in solution—so as the temperature decreases, the sugar comes out of the solution, forming crystals. The lower the temperature, the more molecules join the sugar crystals, and that is how rock candy is created.

1) Write the symbol and charge for each individual ion
2) Balance the charge so that they equal to zero
3)Write the formula based on how many of each ion you used in step 2


11) Beryllium and Phosphorus
12) cesium and Sulfur
13) Lithium and phosphorus
14) fluorine and rubidium
15) Francium and oxygen

Answers

Answer:

I'm pretty sure these are correct

11) Be 2+ and P 3-    Formula is Be3P2  

12) Cs 1+ and S 2-    Formula: Cs2S

13) Li 1+ and P 3-      Formula: Li3P

14) Rb 1+ and F 1-     Formula: RbF

15) Fr 1+ and O 2-    Formula: Fr2O

Explanation:

You do the criss-cross method where the charge on one ion becomes the amount on the second

Convert 6.03 m to km using Dimensional Analysis

Answers

Explanation:

[tex]6.03 \: m \times \frac{1 \: km}{1000 \: m} = 0.00603 \: km[/tex]

Explain why a halogen bulb has a longer bulb life than a traditional incandescent bulb filled with argon.

Answers

Answer:

The halogen bulb lasts longer because the filament lasts longer. It can have twice the life of an incandescent and use the same amount or slightly less (10%) electricity.

Explanation:

45 grams of ammonia, NH3, in 0.75 L of solution.

Answers

2.3 moles of sodium chloride in 0.45 liters of solution . necessarile correct ... 0.025 L. (1.3 SF). 45 grams of ammonia in 0.75 L of solution. 45g x 1 mol = 2. demol ... anol x 1,50 = 3 mol NaOH x 40,019 = 120g Naolt.

HELP ME PLEASE!!!
One liter of water is cooled from 20°C to 3°C inside a refrigerator. What is the change in temperature in °F? K?

Answers

Answer:

Decrease of temperature by 62.6°F and 290.15°

Explanation:

First identify change in C: 17 degrees

now convert to Fahrenheit and Kelvin

Fahrenheit: 17 * (9/5) +32 = 62.6°

Kelvin: 17 + 273.15 = 290.15°

____Na3PO4+____CaCI2 --->____NaCI+ ____Ca(PO4)2

Answers

Answer:

3CaCi2 + 2Na3PO4 → Ca3(PO4)2 + 6NaCi

Explanation:

what is the equation for hydrogen peroxide

Answers

Answer:

H2O2

Explanation:

2 hydrogen, 2 oxygen wikipedia it

Answer:

hey!

Your answer is that the equation for Hydrogen Peroxide is [tex]H_{2}[/tex][tex]O_{2}[/tex]

Explanation:

Its formed when [tex]H_{2}[/tex]O and [tex]O_{2}[/tex] react chemically together!

HOPE THIS HELPED!


The diagram shows movement of thermal energy
In which areas of the diagram does conduction occur?

W and X
X and Z
Y and Z
Z and W

Answers

Answer:

Y AND Z

HOPE IT HELPS THANK ME LATER.

Answer:

B. Y and Z

Explanation:

Please help: A complete moon cycle is how many weeks

Answers

Answer:

29.5 days

Explanation:

its 29.5 days i hope it helps

Answer:

The Moon takes 27.3 days to orbit Earth, but the lunar phase cycle (from new Moon to new Moon) is 29.5 day

5.
Given: C2H5C1
P1: 951.72 kPa
P2: 362.29 kPa
T1: 653.34 K
Wanted: kelvins?

Answers

Answer: The final temperature is 248.7 K

Explanation:

To calculate the final temperature of the system, we use the equation given by Gay lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant volume.

Mathematically,

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

where,

[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the gas.

[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the gas.

We are given:

[tex]P_1=951.72kPa\\T_1=653.34K\\P_2=362.29kPa\\T_2=?[/tex]

Putting values in above equation, we get:

[tex]\frac{951.72}{653.34}=\frac{362.29}{T_2}\\\\T_2=248.7K[/tex]

Thus the final temperature is 248.7 K

1. Which of the following is the most important function of the microscope?
A. measuring specimen
B. magnification of the specimen
C. photographing the specimen
D. locating and viewing the specimen
image or​

Answers

I think B magnification of the specimen

BRAINLIEST AND POINTS!!
Describe three ways in which scientists communicate the results of their work.

Answers

Answer:

There are several ways that scientists communicate our results, including written reports and scientific journal publications, and by giving presentations to our colleagues and the public. One popular venue for scientists to present to colleagues is at scientific conferences.

Explanation:

Answer:

-Good writing explaining their data they have discovered

-Their research is shared with the other scientists, and is peer reviewed

-They present their results at national and international conferences where other scientists can listen and give their input.

Explanatio

After the shuttle disaster, an unknown compound residue was removed from a piece of the debris. Upon analysis, it was found to contain 2.61 g of carbon, 6.09 g of nitrogen, and 1.31 g of hydrogen. What is its empirical formula?

Answers

Answer:

The final empirical formula is [tex]C_2 N_5 H[/tex]

Explanation:

Given

The amount of carbon, nitrogen and hydrogen in a given compound is as follows

C:N:H

[tex]2.61 : 6.09 : 1.31[/tex]

On simplifying the ration values  we get

[tex]\frac{2.61}{1.31} : \frac{6.09}{1.31} : \frac{1.31}{1.31}[/tex]

So the final ratio is

[tex]2 : 5 : 1[/tex]

The final empirical formula is [tex]C_2 N_5 H[/tex]

I need help with this question ASAP

Answers

Answer:

True

Explanation:

Asexual reproduction does not involve sex cells or fertilization . Only one parent is required, unlike sexual reproduction which needs two parents. As a result, the offspring are genetically identical to the parent and to each other.

What is the volume at STP of 3.44 x 1023 molecules of CO2
gas?
a 25.1L
b 39.2 L
С
12.8 L
d 15.7 L

Answers

Answer:

C. 12.8 liters.

Explanation:

The Standard Temperature and Pressure (STP) of a gas are 273.15 K and 100 kilopascals. From Avogadro's Law, a mole of carbon dioxide contains [tex]6.022 \times 10^{23}[/tex] molecules. If we suppose that carbon dioxide behaves ideally, then the equation of state for ideal gas is:

[tex]P\cdot V = n\cdot R_{u}\cdot T[/tex] (1)

[tex]P\cdot V = \frac{r\cdot R_{u}\cdot T}{N_{A}}[/tex] (1b)

Where:

[tex]P[/tex] - Pressure, measured in pascals.

[tex]V[/tex] - Volume, measured in liters.

[tex]r[/tex] - Amount of molecules, no unit.

[tex]N_{A}[/tex] - Avogadro's number, no unit.

[tex]R_{u}[/tex] - Ideal gas constant, measured in pascal-liters per mole-Kelvin.

[tex]T[/tex] - Temperature, measured in Kelvin.

If we know that [tex]P = 100000\,Pa[/tex], [tex]r = 3.44\times 10^{23}[/tex], [tex]N_{A} = 6.022\times 10^{23}[/tex], [tex]T = 273.15\,K[/tex] and [tex]R_{u} = 8.314\times 10^{3}\,\frac{L\cdot Pa}{mol\cdot K}[/tex], then the volume of carbon dioxide at STP is:

[tex]V = \frac{r\cdot R_{u}\cdot T}{N_{A}\cdot P}[/tex]

[tex]V = \frac{(3.44\times 10^{23})\cdot \left(8.314\times 10^{3}\,\frac{L\cdot Pa}{mol\cdot K} \right)\cdot (273.15\,K)}{(6.022\times 10^{23})\cdot (100000\,Pa)}[/tex]

[tex]V = 12.972\,L[/tex]

Therefore, the correct answer is C.

What is a song that gets you in a mood? ;)

Answers

Happy by Pharrell Williams

Answer:

Uhm- s-- money- feelings- die? But, slowed -w-

Explanation:

list 10 uses of metals​

Answers

Answer:

1.In electronics

2 In medicine

3.In the construction

4.In jewelry

5.In machinery and automobiles

6.In agriculture

7.In the kitchen

8.Furniture

9. Security system

10 Bullion market

Solid sodium combines with solution of magnesium fluoride to form sodium fluoride solution and magnesium metal.

Answers

Solid sodium combines with solution of magnesium fluoride to form sodium fluoride solution and magnesium metal is adding hydrochloric acid into form magnesium chloride solution and hydrogen gas. A solution could be copper oxide is combined with solid carbon. This forms copper metal and carbon dioxide gas.

Please help with chem ASAP

Answers

Answer:

Imagine Dragon

Explanation:

These balls across yo face

Gottem

magnesium__ + sulfuric acid goes to form magnesium sulfate+ water + carbon dioxide​

Answers

Answer:

carbonate

Explanation:

this is because when carbonates react with acid they form carbon dioxide and water and respective metal oxide

Uniformitarianism is the idea that

Answers

Answer:

Uniformitarianism is the idea that the natural processes operating today are the same as the natural processes that operated in the past

I need help with this question ASAP

Answers

i think it's fertilisation (^^)

How do parasites affect their hosts?
They help their hosts by consuming or using their cells.
They help their hosts by growing in size.
O They harm their hosts by growing in size.
They harm their hosts by using their hosts as a food source.

Answers

The last one seems right to me

Which of the following is true? Electrons are shared in ionic bonding

Answers

Answer:

The two most basic types of bonds are characterized as either ionic or covalent. In ionic bonding, atoms transfer electrons to each other. ... In contrast, atoms with the same electronegativity share electrons in covalent bonds, because neither atom preferentially attracts or repels the shared electrons.

Explanation:

how does a allergy develop?


PLEASE HELP!

Answers

Allergies arise when a foreign material such as pollen, bee venom or pet dander responds to your immune system or a food that in most people does not cause a reaction. Substances known as antibodies are formed by your immune system.

Answer: im not fully sure but from what i rememeber Allergies develop when your immune system mistakenly identifies a thing such as pollen, mold or food as harmful then your body reacts to it

Explanation:

Im gonna ride it do it just how you like it and after that let's do it?
what is the answer of this.

Answers

Answer:

the hell?

Explanation:

dababy............................


mass-mass problem:
If 25.0 grams of carbon dioxide are used in photosynthesis how many grams of glucose (C6H12O6) could be Produced according
to the following equation : 6CO2 + 6H2O → C6H12O6 + 602

Answers

Answer:

17.05 g of glucose

Explanation:

The equation of the reaction is given as;

6CO2 + 6H2O → C6H12O6 + 602

From the equation;

6 mol of CO2 produces 1 mol of  C6H12O6

Converting to masses;

CO2:

Mass =Number of moles * Molar mass

Mass = 6 mol * 44 g/mol = 264 g

C6H12O6:

Mass =  Number of moles * Molar mass

Mass = 1 mol * 180 g/mol = 180 g

This means 264g of CO2 produces 180g of C6H12O6

25g of CO2 would produce x g of C6H12O6

264 = 180

25 = x

x = 25 * 180 / 264

x = 17.05 g

Every ________ will have its own unique set of quantum numbers.
Select the correct answer below:

A. atom

B. shell of electrons

C.proton

D. individual electron

Answers

Answer:

D. individual electron

Explanation:

Every individual electron  will have its own unique set of quantum numbers.

What are quantum numbers?

Quantum numbers are the numbers which describe the values of conserved quantities with respect to the dynamics of a quantum system.They correspond to the Eigen values of operators which commute with the Hamiltonian quantities.

The Hamiltonian quantities can be known with precision simultaneously with the system's energy.Quantum numbers can take values of discrete sets of integers or even half-integers even though they can approach infinity in some cases.

They can specifically describe energy levels of electrons, and can also explain angular momentum,spin,etc.These are used to describe the path of an electron in an atom ,when the quantum numbers of all atoms are combined they must comply with the Schrodinger equation.

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Dona is attempting to make an electromagnetic to pick up old nails in her driveway. Which of these materials would be best to us for the core to make the strongest electromagnetic to pick up the most nails?

Answers

Answer:

The materials would be best to us for the core to make the strongest electromagnetic to pick up the most nails is described below in detail.

Explanation:

Use a couple of wire strip-pers to exclude some centimeters of insulation from every end of the cable. Skillfully cover the cable around the nail. The more cable you enclose around the nail, the more effective your electromagnet will be. Compose certain that you leave sufficient of the cable unwrapped so that you can connect the battery.

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