The face-centered cubic unit cell describing the structure of an ionic compound has an edge length of 207 pm. The lattice points of the unit cell are occupied by anions, and the cations are small enough so that the anions are in contact along the diagonal of the face of the unit cell. What is the ionic radius of the anion (in picometers)

Answers

Answer 1

Answer:

73.2 pm

Explanation:

"The anions make contact along the diagonal of the face of the unit cell, so the diagonal of the face is equal to 4 ionic anion radii. By letting r represent the ionic radius of the anion, d represent the diagonal of the face of the unit cell, and x represent the edge length, then d=4r and

d^2=x^2+x^2=  2x^2

By substituting 4r for d, the second equation becomes

(4r)^2=(2)x^2

Solving this equation for r shows that

r=(x–√2)/4

Since the edge length x is 207 pm, the ionic radius of the anion is

r= ((207 pm) X [tex]\sqrt{2}[/tex])/4=73.2 pm

Notice that the formulae used to describe atomic radii include constants with exact values. Therefore, these values do not constrain the number of significant figures."

Answer 2

The ionic radius of the anion in the FCC unit cell where anions are in contact along the diagonal of the face of the unit cell is 73.1pm.

What is ionic radius?

Ionic radius is the distance between the center of the atom and the outermost part.

As in the question it is given that anions are in contact along the diagonal of the face of the unit cell, so the length of the diagonal is represented as: d = 4r, where

r = ionic radius

Length of edge i.e. a = 207 pm (given)

Two adjacent edges and diagonal of a FCC unit cell makes a right angle triangle, by using pythagoras theorem we can write as:

a² + a² = d²

2a² = (4r)²

2a²/16 = r²

2(207)²/16 = r²

85,698/16 =  r²

0r r = 73.18 pm

Hence, 73.18 pm is the ionic radius of the anion.

To learn more about ionic radius, visit the below link:

https://brainly.com/question/8137711


Related Questions

help please will give brainly if right

Answers

Answer:

B and D

Explanation:

Because its adaptions they need to survive in the cold.

Calculate the pH of each of the following aqueous solutions. (Enter your answers to two decimal places.) (a) 10.0 mL deionized water WebAssign will check your answer for the correct number of significant figures. 2.72 Incorrect: Your answer is incorrect. (b) 10.0 mL deionized water plus 5.0 mL of 0.10 M NaOH WebAssign will check your answer for the correct number of significant figures. (c) 10.0 mL deionized water plus 10.0 mL of 0.10 M NaOH WebAssign will check your answer for the correct number of significant figures. (d) 10.0 mL deionized water plus 15.0 mL of 0.10 M NaOH WebAssign will check your answer for the correct number of significant figures.

Answers

Answer:

a. pH = 7.0

b. pH = 12.52

c. pH = 12.70

d. pH = 12.78

Explanation:

a. Deionized water has the [H⁺] of pure water = 1x10⁻⁷ (Kw = 1x10⁻¹⁴ = [H⁺][OH⁻] - [H⁺] = [OH⁻ -)

pH = -log[H⁺] = 7

b. Moles NaOH = 5x10⁻³L * (0.10mol / L) = 5x10⁻⁴moles OH⁻ / 0.015L = 0.0333M = [OH⁻]

-Total volume = 10mL+5mL = 15mL = 0.015L

pOH = -log[OH⁻] = 1.48

pH = 14-pOH

pH = 12.52

c. Moles NaOH = 0.010L * (0.10mol / L) = 1x10⁻³moles OH⁻ / 0.020L = 0.0500M = [OH⁻]

-Total volume = 10mL+10mL = 20mL = 0.020L

pOH = -log[OH⁻] = 1.30

pH = 14-pOH

pH = 12.70

d. Moles NaOH = 0.015L * (0.10mol / L) = 1.5x10⁻³moles OH⁻ / 0.025L = 0.060M = [OH⁻]

-Total volume = 10mL+15mL = 25mL = 0.025L

pOH = -log[OH⁻] = 1.22

pH = 14-pOH

pH = 12.78

What enzyme catalyses the reaction of PRPP transfer to hypoxanthine with
formation of IMP?

Answers

Answer:

HPRT

Explanation:

HPRT catalyzes the salvage reactions of hypoxanthine and guanine with PRPP to form IMP and GMP

The formation of GMP from IMP requires oxidation at C-2 of the purine ring, followed by a glutamine-dependent amidotransferase reaction that replaces the oxygen on C-2 with an amino group to yield 2-amino,6-oxy purine nucleoside monophosphate, or as this compound is commonly known, guanosine monophosphate.

Which of the following explains why a longer bond is also a weaker bond? Help plz

Answers

Answer:

Longer bonds have lower attractive force

1. At an environmental testing lab, a lab technician calculated the known concentration of the calibrating solution three times too high. How will this affect the results of the samples run using this calibration solution

Answers

Answer:

The deviation in the results will be too large when compared with the actual result

Explanation:

The effect this will have on the results of the samples run using this Calibration solution is that the deviation in the results will be too large when compared with the actual result that was supposed to be obtained. and this will also lead to wrong analysis by the technician .

This will cause a result that is very different from the actual result, which will lead to errors in the analysis.

We can arrive at this answer because:

A laboratory test must be done accurately and all calibrations must follow the test protocol.Changing the calibration will cause inaccurate and incorrect results, which differ from the actual result.This will promote an analysis that is unreal, false, and far from true, which will leave the entire test inaccurate.

As we can see from the question above, the lab technician used a much higher calibration than what was recommended in the lab. This will lead to inaccurate and incorrect results.

More information:

https://brainly.com/question/957129?referrer=searchResults

What volume of 1.75 M hydrochloric acid (HCl aq) must be diluted with water to prepare 0.500 L of 0.250 M hydrochloric acid?

Answers

Answer:

[tex]V_1=0.0714L[/tex]

Explanation:

Hello there!

In this case, since we need to dilute the 1.75-M HCl, and the total number of moles remain unchanged, we can write:

[tex]n_1=n_2[/tex]

And in terms of volume and concentration:

[tex]C_1V_1=C_2V_2[/tex]

Thus, we can solve for the volume of the concentrated HCl as shown below:

[tex]V_1=\frac{C_2V_2}{C_1}[/tex]

Therefore, we plug in the data to get:

[tex]V_1=\frac{0.250M*0.500L}{1.75 M}\\\\V_1=0.0714L[/tex]

Best regards!

Anybody Understand this question please help me !

Answers

Answer:

[tex]m_{Sn}=630.57gSn[/tex]

Explanation:

Hello!

In this case, according to the chemical reaction:

[tex]SnO_2+2H_2\rightarrow Sn+2H_2O[/tex]

We can evidence the 2:1 mole ratio between hydrogen and tin, thus, we perform the following stoichiometric setup to obtain the mass of produced tin:

[tex]m_{Sn}=21.46gH_2*\frac{1molH_2}{2.02gH_2}*\frac{1molSn}{2molH_2} *\frac{118.71gSn}{1molSn} \\\\m_{Sn}=630.57gSn[/tex]

Best regards!

6CuNO3 + Al2(SO4)3 → 3Cu2SO4 + 2Al(NO3)3
Molar mass of CuNO3 125.56 g/mol
Molar mass of Al(NO3)3 213.01 g/mol

How many grams of copper (I) nitrate (CuNO3) are required to produce 44.0 grams of aluminum nitrate (Al(NO3)3)?

Answers

Answer:

77.81 g of CuNO₃

Explanation:

6 CuNO₃  +  Al₂(SO₄)₃  ⇒  3 Cu₂SO₄  +  2 Al(NO₃)₃

This is your chemical equation.  We will need this information for converting from Al(NO₃)₃ to CuNO₃.

First, convert grams of Al(NO₃)₃ into moles using the molar mass.

[tex]44.0g*\frac{mol}{213.01g} = 0.2065mol[/tex]

Next, convert moles of Al(NO₃)₃ to moles of CuNO₃.  You can do this by using the stoichiometry (the numbers in front of the compounds).  For every 6 moles of CuNO₃, you will get 2 moles of Al(NO₃)₃, causing the ratio of CuNO₃ to Al(NO₃)₃ to be 6:2.

[tex]0.2065mol*\frac{6}{2} =0.6197mol[/tex]

Now that you moles of CuNO₃, convert this to grams using its molar mass.

[tex]0.6197 mol * \frac{125.56g}{mol} =77.81 g[/tex]

You will need 77.81 grams of CuNO₃ to produce 44.0 grams of Al(NO₃)₃.

What are the dependent and independent variables? (Picture^^)

Answers

Answer:

X axis shows the independent and Y axis shows the dependent.

Explanation:

As the independent variable is always plotted on the X-axis of the graph the Y-axis shows the dependent variable that is affected by the X variables Time is an independent variable and is always shown along the X-axis.  Such as the image showed tells about the data of N2O biofuel emissions from 2009-10. Thus this will be plotted along the X-axis and Y-axis will show the amount of nitrogen fertilizer applied.

PLEASE HELP ME! I beg you :(

Answers

The answer is the second one from what i remember

3. Define the term zwitterion. Draw the structure of alanine and explain why this molecule is a
zwitterion in certain conditions.

Answers

Answer:

A zwitterion or a hybrid ion is an ion that has both a positive and negative charge and can act as either a base or an acid.

Explanation:

A zwitterion or a hybrid ion is an ion that has both a positive and negative charge and can act as either a base or an acid. The net charge on a zwitterion is zero since it has equal number of positive and negative charges.

Alanine, is a monoamino monocarboxylica acid that is diprotic when fully protonated. The carboxylic acid group, COOH and the amino group, NH₃⁺, are able to produce one proton each. At a pH equal to the isoelectric point of alanine, it exists mainly in the zwitterionic form with the α-amino group protonated as NH₃⁺ and the α-carboxyl group deprotonated as COO⁻ . This is because at the isoelectric point of alanine (6.0), pI is greater than the acid dissociation constant, pKa of the α-carboxyl group whereas, pI is less than the acid dissociation constant, pKa of the α-amino group, so the two groups are negatively and positively charged respectively.

adaptive features of aquatic plants​

Answers

Aquatic plants can only grow in water or in soil that is frequently saturated with water. They have leaves with large air pockets allowing them to absorb oxygen from the water (they should have one air bubble in each leaf). The leaves of aquatic plants are soft. It allows them to move smoothly/easily with the waves.

who are called anthropologist? ​

Answers

Answer: A person engaged in the practice of anthropology. Anthropology is the study of aspects of humans within past and present societies. Social anthropology, cultural anthropology and philosophical anthropology study the norms and values of societies.

Explanation: I HOPE THIS HELPS U AND ANSWERS UR QUESTION!!! Stay safe and healthy!

Calculate the moles of electrons obtained from 250coulomb of electricity

Answers

Answer:

[tex]n=0.00259 mol[/tex]

Explanation:

Hello there!

In this case, since the Faraday's constant is 96500 Coulombs per mole, we can set up the following process to obtain the moles in 250 Coulombs:

[tex]n=\frac{250C}{96500C/mol}\\\\n=0.00259 mol[/tex]

Best regards!

A compound contains 0.5 mol Na, 0.5 mol N, and 10 mol H. The empirical formula of the
compound is -

Answers

Answer:

NaNH₂₀

Explanation:

0.5 mol Na, 0.5 mol N, and 10 mol H

To obtain the empirical formulae, we find the mole ratio between the elements and this is done by dividing all through by the smallest mol (0.5)

Na = 0.5 / 0.5 = 1

N = 0.5 / 0.5 = 1

H = 10 / 0.5 = 20

The mole ratio is used to write the empirical formulae. It is given as;

NaNH₂₀

What does synthesis gas (water gas) consist of?​

Answers

Answer:

ch4+h2o----725°-->co+2h2

25 jejejejdhdbbdbdbdbd

I NEED HELP!!!!! IM TIMEDDDD! HELP PLZZZZ!!!!

Answers

Answer:

a

Explanation:

i’m like pretty sure that the answer is d

What is the mass of 0.063x10^-4 moles of aluminum sulphate ?

Answers

Answer:

The mass of 0.063*10⁻⁴ moles of aluminum sulphate  is 2.15*10⁻³ grams.

Explanation:

Aluminum sulfate Al₂(SO₄)₃ has a molar mass of 342.15 g/mol.

Molar mass is the amount of mass that a substance contains in one mole of a substance, which can be an element or a compound.

So in this case you can apply the following rule of three: if 342.15 grams are present in 1 mole of aluminum sulfate, how much mass is present in 0.063*10⁻⁴ moles of the compound?

[tex]mass of aluminum sulphate=\frac{0.063*10^{-4}moles*342.15 grams }{1 mole}[/tex]

mass of aluminum sulphate= 2.15*10⁻³ grams

The mass of 0.063*10⁻⁴ moles of aluminum sulphate  is 2.15*10⁻³ grams.

What is the mass percentage of calcium in calcium carbonate CaSO4?

Answers

40.04% yep I’m sure

(22 points) please please help me thanks so much

Answers

Answer:

d

Explanation:

Answer:

hopen it helps soo much thanks for the points

PLEASE HELP IMMEDIATE WORTH 10 POINTS

Fill in the blank with the word or phrase that best completes the statement or answers the question. The scientific name for a plant that reproduces with flowers is a(n)​

Answers

Answer:

the scientific name is Angiosperms

Explanation:

please mark brainliest

Help! What is this question I do not understand

Answers

Answer:

A 70%

B 92%

C 87%

D 79%

Explanation:

This excercise is about dividing water by liquid.

How many moles are in 20.0g of lithium?

Answers

Answer:

I believe it is 5.00

Explanation:

Please please help me please please help please please help me please please help please please help me please

Answers

Answer:

A

I honestly think it's A, but I could be wrong. It might be B, but I don't think so.

The following image is a prediction of how an earthquake would spread from the epicenter (marked by a star). Red indicates the
worst areas, and green indicates the places where there is the least shaking. Water is colored blue. Consider a seismic wave-an
earthquake that starts in the middle of the red area and travels outward along the surface of the earth.
Image courtesy of U.S. Geological Survey
Department of the Interio/
USOS
Point A is the same distance from the epicenter as point B. Using what you know about the movement of waves, how would you
expect the seismic waves to be different at point A and point B?
OA.
The waves would be larger at point A than at point B.
OB. The waves would be exactly the same at points A and B.
OC. The waves would arrive at point B before they arrived at point A.
OD
The ground would shake up and down at point A but back and forth at point B.

Answers

Answer:

its B

Explanation:

The earthquakes are occurring more in the land region of earth surface. Hence, the waves would arrive at point B before they arrived at point.

What is an earthquake?

When two layers of the ground abruptly slide past one another, an earthquake results. The fault or fault plane is the area where they slide. The epicenter is the point on the earth's surface that is directly above the hypocenter, which is where the earthquake begins under the surface.

The energy that would typically force the blocks to move past one another is being saved up while the fault edges are glued together and the rest of the block is moving.

All that accumulated energy is released when the force of the sliding blocks ultimately displaces the resistance of the sharp edges of the fault and causes it to unstick. Like ripples on a pond, the energy radiates from the fracture in all directions as seismic waves. Therefore, point B in the land surface will first experience the seismic waves.

To find more on earthquakes, refer here:

https://brainly.com/question/29500066

#SPJ2

Question 2 (1 point)
Which of the following does NOT involve a chemical reaction?
Fallen leaves decay in a compost pile.
Leaves change color in the fall.
O A fire burns a pile of fallen leaves.
A pond freezes over in the winter.

Answers

Answer:

D. A pond freezing over is not a chemical reaction, it is a physical reaction.

Please help me thanks

Answers

Answer:

your finger becomes negatively charged

Explanation:

hope it helps. follow me

250 ml juice has 22 g sugar how sugar is in 2000ml of juice

Answers

Answer:

176 grams of sugar

explanation is down

Explanation:

250 / 22 = 2000 / x250 ml to 22 grams = 2000 ml to x grams

cross multiply

(250)(x) = (2000)(22)

250x = 44,000

x = 44,000/250

x = 176 grams of sugar 

The gleaming metallic appearance of the Gateway Arch in St. Louis, Missouri, comes from the stainless steel used in its construction. This steel is made mostly of iron, but it also contains 19% (by mass) chromium and 9.0% (by mass) nickel. Stainless steel maintains its metallic sheen because the chromium and nickel in it combine with oxygen from the atmosphere, forming a layer of Cr2O3 and NiO that is too thin to detract from the luster of the steel but that protects the metal beneath from further corrosion. What is the mole ratio of chromium to nickel atoms in this steel?

Answers

Answer:

the mole ratio of chromium to nickel atoms in the steel is 2.383

Explanation:

Given the data in the question;

Chromium  = 19% ( by mass )

Nickel = 9% ( by mass )

now, let the mass of the steel = 100 g

so mass of Chromium  = 19g

mass of nickel = 9g

We know that; Atomic mass of Cr is 52 g/mol, Atomic mass of Ni is 58.7 g/mol

Moles of Cr =  mass/atomic number = 19/52 mol

Moles of Ni =  mass/atomic number = 9/58.7 mol

The mole ratio of of Cr to Ni atom  will be;

⇒ Moles of Cr / Moles of Ni

= (19/52) / (9/58.7)

= 19×58.7 / 9×52

= 2.383

Therefore, the mole ratio of chromium to nickel atoms in the steel is 2.383

At what minimum temperature do rocks melt into lava?
A) 3,500 degrees Celsius
B) 6,332 degrees Fahrenheit
C) 800 degrees Fahrenheit
OD 800 degrees Celsius

Answers

The answer is D 800 degrees Celsius
Other Questions
I need help on this and the first person who answer correctly gets a BRANLIST Do stereotypes, bias, and discrimination exist against Muslim? What are they? Solve the following equation. Write your answer in simplest form,2/5x+4= 16 Can u pls help me its easy Question: give me five reasons why photoshop is bad? Helppp!!!!!I need answer to both of theseThis is importantYou will be mark brainliest you give me and answer to this True or False questions Why do stars farther from earth appear dimmer then stars closer to earth work out the following,giving your answers in their simplest form:a)3/11 divide 3/11 b)9/10 divide 3/5 find area of figures What is 10x-5y+2x-3y= true or false help please pre cal 1/4 divided by 5 explain how you do it ____ is when the company and the customercome to an official agreement. (Select the best answer.)O Closing a saleO Turning a lead into a prospectO Self-actualizationO Creating a lead David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn? hi I need help I don't know how to right an equation like ugh this is hard to explainnn so (Your father uses text messaging to communicate with his employees. If he sends an average of 19 text messages each day, how many more text messages does he send than you? Write an equation and solve for the unknown value.) How would I right this I'll give brainliest to whoever explains need help asap 30 points Insert the correct terms below into the following paragraph. Each term will be used. /20 pts sovereignty, republic, state, capitalism, free-market, Democracy, autocracy, command economy, Constitution, communism, Every 1. ( ) has a form of government that has 2. ( ) within its territorial boundaries. A 3. ( ) is a government of and by the people that may have a 4. ( ) that protest the rights of the people, unlike a 5. ( ) that concentrates power in the hands of one person. The United States is a 6. ( ) with elected representation. It has a mixed economy based on 7. ( ). The 8. ( ) allows buyers and sellers to make economy decisions about what to produce , how much to produce, and who gets to goods and services produced. In contrast, under 9. ( ) the Peoples Republic of China and North Korea have operated a 10. ( ). Hello, can you help me, I can't find a story in which the cat plays an important role. I need to explain why the animal was chosen by the author How does paragraph 19 affect the development of the story? THE BRIGHT SIDE OF SADNESS what shape is similar to the original shape what are the reactants of the krebs cycle? What message does Kurt Vonnegut convey through the satire Harrison Bergeron, and how does the title character develop this message?Use evidence from the story and explain your evidence