Consider a hypothetical metal that has a density of 11.6 g/cm3, an atomic weight of 157.6 g/mol, and an atomic radius of 0.127 nm. Compute the atomic packing factor if the unit cell has tetragonal symmetry; values for the and lattice parameters are 0.523 nm and 0.330 nm, respectively.

Answers

Answer 1

Answer:

[tex]APF(atomic packing factor)=0.31736[/tex]

Explanation:

From the question we are told that

Density of metal [tex]\rho=11.6 g/cm3[/tex]

Atomic weight of [tex]W=157.6 g/mol[/tex]

Atomic radius of [tex]r= 0.127 nm[/tex]

Lattice parameters=>[tex]x=0.523nm[/tex]  and [tex]y=0.330 nm[/tex]

Generally the equation for atomic packing factor is mathematically given as

[tex]APF(atomic packing factor)=\frac{Spere's\ volume}{unit\ cell\ volume}[/tex]

[tex]APF(atomic packing factor)=\frac{N*VN}{VC}[/tex]

Generally the equation for number of atoms N is mathematically given as

[tex]N=\frac{\rho }{atomic raduis*Avacados constant}[/tex]

[tex]N=\frac{11.6 }{0.127*10^{-9}*6.02214086*10^{23} mol-1}[/tex]

[tex]N=4[/tex]

Therefore APF(atomic packing factor)

[tex]APF(atomic packing factor)=\frac{N*VN}{VC}[/tex]

[tex]APF(atomic packing factor)=\frac{4*\frac{4}{3} \pi (0.127)^3}{(0.523)^2 *0.330}[/tex]

[tex]APF(atomic packing factor)=0.31736[/tex]


Related Questions

A solution is prepared by dissolving 10.6 g sodium carbonate in enough water to produce
500.0 mL solution. What is the molarity of sodium carbonate in the solution?

Answers

Answer:

0.2mol/dm³

Explanation:

Given parameters:

Mass of Na₂CO₃   = 10.6g

Volume of solution  = 500mL

Unknown:

Molarity of solution  = ?

Solution:

The molarity of a solution can be determined using the expression below:

 Molarity = [tex]\frac{number of moles }{volume}[/tex]  

     Number of moles  = [tex]\frac{mass}{molar mass}[/tex]  

Molar mass of Na₂CO₃ = 2(23) + 12 + 3(16)  = 106g/mol

   Number of moles  = [tex]\frac{10.6}{106}[/tex]   = 0.1mol

   Convert mL to dm³;

        500mL will give 500 x 10⁻³dm³or 0.5dm³  

So;

Molarity  = [tex]\frac{0.1}{0.5}[/tex]    = 0.2mol/dm³

I can ride my bicycle at a velocity of 5.655 X 10° um/sec. Is this fast or slow? Prove your answer by converting into km/hr.
answer ASAP​

Answers

Answer:

56/hr

Explanation:

What can you infer about the growth of the seed type pictured in the graphs below? ( Note, the vertical axis represents the number of seeds )
The graph shows Time in days from 0 to 5 on the x-axis and 0 to 100 on the y-axis with 5 percent light. Day 0 there are 100 seeds and 0 sprouts. The number of seeds and sprouts remains the same through 2.5 days. Then the number of seeds decreases while the number of sprouts increases. Day 5 there are 30 seeds and 70 sprouts.The graph shows Time in days from 0 to 5 on the x-axis and 0 to 100 on the y-axis with 80 percent light. Day 0 there are 100 seeds and 0 sprouts. The number of seeds and sprouts remains the same through 2.5 days. Then the number of seeds decreases while the number of sprouts increases. Day 5 there are 30 seeds and 70 sprouts.
a.
More seeds grow with more light.
b.
More seeds grow with less light.
c.
The seeds grow faster with more light.
d.
Light has no effect on seed growth.

Answers

Answer:

D

Explanation:

I just did it on Edge

Answer:It’s D

Explanation: It was in my test

Which best describes a hydrate?

A.) It has water molecules bonded directly to it.
B.) It lacks water molecules ik it’s crystal lattice.
C.) It lacks hydrogen and oxygen atoms, which make up water.
D.) It has water molecules incorporated into its crystal lattice.

Answers

D is your best answer

given mass of sodium sulphate contains 1.052 moles of oxygen atom then moles of sodium atom present in it would be equal to (ans=0.526)
how to solve this please help me...!​

Answers

Ce clasă ești sa văd daca te pot ajuta

The diagram shows the electron configuration around the chlorine nucleus. Chlorine has 17 protons.
CI
Which of the following correctly completes the statement?
Chlorine has valence electrons, and the effective nuclear charge, Zett, for the chlorine atom shown is
O A. 7,7+
OB. 7,7-
O C. 10,7-
D. 17, 7+

Answers

Answer: A. [tex]7,+7[/tex]

Explanation:

Valence electrons are the number of electrons constituting the outermost shell of an atom. It is also defined as the electrons that take part in the formation of a chemical bond.

The atomic number of chlorine is 17 as it has 17 protons and the electronic configuration will be 2,8,7. Thus the electrons present in the outermost shell are 7 and hence the valence electrons are 7.

Effective nuclear charge is the net positive charge experienced by valence electrons. It is calculated by: Zeff = Z – S

where Z = atomic number , S = number of shielding electrons.

Thus for Chlorine , [tex]Z_{eff}=17-10=7[/tex]

The photograph shows one of the boats in a science club's toy boat race. All the boats were powered by identical
rubber bands. Judges used stopwatches to time how long each rubber band took to unwind. The table shows some
of the data the judges collected.
Boat
Time
(5)
Acceleration
(m/s)
N
1.6
1.4
1.1
Mass of
Boat (kg)
0.125
0.116
0.130
0.118
P
Penywise/Dreamstime.co
Q
1.5
1.2
2.1
1.0
1.8
R
Which boat experienced the greatest unbalanced force?

Answers

Answer:

Boat p

Explanation:

Answer:

boat p

Explanation:

20 g of Allg is dissolved in water to produce a solution with a concentration of 2.007M. What is the volume of this solution in milliliters?

Answers

Answer:

369 ml

Explanation:

Mass of Aluminium (Al) = 20 g

Molar concentration =  2.007M

Molar concentration = Number of moles / Volume

The relationship between mass and number of moles;

Number of moles = Mass / Molar mass

Number of moles = 20 / 27 = 0.741 mol

2.007  = 0.741  / Volume

Volume = 0.741 / 2.007 = 0.369 L

converting to millilitres by multiplying by 1000

Volume = 0.369 * 1000 = 369 ml

Identify the components of the ionic formula based on the name strontium phosphide. What is the symbol for the element that forms the positive cation? What is the symbol for the element that forms the negative anion? What is the subscript on the cation in the neutral formula? What is the subscript on the anion in the neutral formula?

Answers

Answer: The components are Strontium (Sr) and Phosphorous (P). The symbol for the element that forms the positive cation is [tex]Sr^{2+}[/tex]. The symbol for the element that forms the negative anion is [tex]P^{3-}[/tex]. The subscript on the cation in the neutral formula is 3 and the subscript on the anion in the neutral formula is 2.

Explanation:

For formation of a neutral ionic compound, the charges on cation and anion must be balanced. The cation is formed by loss of electrons by metals and anions are formed by gain of electrons by non metals.

Here in strontium phosphide , element strontium is having an oxidation state of +2 called as [tex]Sr^{2+}[/tex] cation and element phosphorous [tex]P^{3-}[/tex] is an anion with oxidation state of -3. Thus they combine and their oxidation states are exchanged and written in simplest whole number ratios to give neutral strontium phosphide [tex]Sr_3P_2[/tex]

PLEASE HELP 100 POINTS
Write a paragraph (3-4 complete sentences) using at least of the vocabulary words demonstrating how nitrogen is recycled throughout the ecosystem. (using these words)

Nitrogen Nitrates Ammonium

Nitrites Nitrogen Fixation Denitrification

Answers

Answer:

Gaseous nitrogen (78% in air) is fixed (by nitrogen fixing bacteria, and during lightning), then absorbed and assimilated by plants in the form of proteins, as well as nucleic acids. ... Nitrogen is returned to soil with excretory materials of animals and dead organisms.

Explanation:

Nitrates (or nitrites) are natural chemicals that are found in the soil, air and water. Nitrates are also used as a food additive to stop the growth of bacteria and to enhance the flavor and color of foodsAmmonium is also a general name for positively charged or protonated substituted amines and quaternary ammonium cations (NR + 4. ), where one or more hydrogen atoms are replaced by organic groups (indicated by R).an obsessive interest in or feeling about someone or something.

"our fixation with diet and fitness"

Denitrification: the loss or removal of nitrogen or nitrogen compounds specifically : reduction of nitrates or nitrites commonly by bacteria (as in soil) that usually results in the escape of nitrogen into the air

Mara and ivy are asked to identify two minerals in science class. To do this, they decided to study the physical properties of the minerals in the following ways.
1 examine how they freeze
2 determine how they break
3 rub them on a white tile plate . What is the best method for the girls to study the physical properties and

Answers

Answer:

2 only is a pretty accurate answer the others dont make sense  to me.

Explanation:

Answer: determine how they break

Explanation: :)

3. Match each of the following descriptions with one of the beakers in Model 1. In each case, assume the change in volume as the solid(s) are added is minimal. a. A 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of water in beaker . b. A 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.500 M sodium hydroxide solution in beaker . c. A 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.200 M sodium hydroxide solution in beaker . d. A 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.200 M calcium nitrate solution in beaker . 4. Based on the solubility product constant, Ksp, for calcium hydroxide given in Model 1, do you expect most of the 1.00 mole sample of solid to dissolve in any of the four beakers

Answers

Answer:

Explanation:

When calcium hydroxide is dissolved in water , it ionizes as follows .

Ca( OH)₂ = Ca⁺² + 2 OH ⁻

When it is dissolved in water which contains minimal OH⁻ , so there is almost no common ion effect . Hence calcium hydroxide is fully dissolved in pure water solvent .

When 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.500 M sodium hydroxide solution in beaker , it is not fully dissolved due to common ion of hydroxide ion ( OH⁻ )

NaOH = Na⁺ + OH⁻

OH⁻ ion from NaOH , suppresses the dissolution of calcium hydroxide .

Similarly

When A 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.200 M sodium hydroxide solution in beaker , it is not fully dissolved due to common ion of hydroxide ion ( OH⁻ )  

NaOH = Na⁺ + OH⁻

OH⁻ ion from NaOH , suppresses the dissolution of calcium hydroxide

When 1.00 mole sample of solid calcium hydroxide is added to 500.0 mL of 0.200 M calcium nitrate solution , it is not fully dissolved due to common ion of calcium  ion ( Ca⁺² )

Ca( NO₃)₂ = Ca⁺² + 2NO₃⁻

Ca⁺²  ion from Ca( NO₃)₂ , suppresses the dissolution of calcium hydroxide .

what the the noble gas configuration for Boron

Answers

Answer:

[He]2[tex]s^{2}[/tex]3[tex]p^{1}[/tex]

Explanation:

The electron configuration for Boron is 1[tex]s^{2}[/tex]2[tex]s^{2}[/tex]3[tex]p^{1}[/tex], but you can also write it as the noble gas configuration, which is [He]2[tex]s^{2}[/tex]3[tex]p^{1}[/tex]

Note that helium has the configuration of 1[tex]s^{2}[/tex], so we instead of writing it, we write [He]. This can be useful when writing the configurations of elements from the later periods as it saves space.

Answer:-
Dude............G00gle the configuration

what is the chemical symbol for fluoride

Answers

Answer:  

I think F

Explanation:

The symbol for fluoride F

Different substances require different amounts of heat to change their temperature by a given amount. This behavior of the materials is called the specific heat and is a characteristic of each material.

a. True
b. False

Answers

Answer: True

Explanation:

Explanation:

The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.

It is dependent on the type of material and is fixed for a particular type of material. For example: The specific heat capacity of iron material is fixed and the value is [tex]0.444J/g^0C[/tex]

HURRY WHICH ONE IS IT??

Answers

Answer:

Protons are positive, electrons are negative, neutrons have to charge. Most of an Atoms mass comes from its protons and neutrons

Explanation:

I took some notes in my notebook about Atoms.

what sean said ^^^ ya yaayayayaya

A mixture of cyclopropane (C3H6) and oxygen (O2) is sometimes used as a general anesthetic. In a mixture, the partial pressures of cyclopropane and oxygen are 170. torr and 570. torr, respectively. Calculate the ratio of the moles of oxygen to the moles of cyclopropane in the mixture.

Answers

Answer:

0.30

Explanation:

Provided that the volume and pressure remains constant

[(Pressure of cyclopropane)/ (Pressure of Oxygen)] = [(no. Of moles of cyclopropane)/(no. Of moles of Oxygen)]

Pressure of cyclopropane= 170. torr

Pressure of Oxygen= 570. torr

If we substitute the values

[(no. Of moles of cyclopropane)/(no. Of moles of Oxygen)] = 170/570

[(no. Of moles of cyclopropane)/(no. Of moles of Oxygen)] = 0.30

Hence, the ratio of the moles of oxygen to the moles of cyclopropane in the mixture is 0.30

If 80% of the moths are dark and you have 80 moths, how
many would be dark??

Answers

Answer:

the answer is 64 moths are dark

Convert 3.93 x 10-22 grams of X4Z3 into molecules/formula units of the same compound. (Assume that the molar mass of X is 59.45 grams per mole and the molar mass of Z is 13.84 grams per mole.)

Assume that Avogadro's number is 6.022 x 1023. Report your answer to three decimal places.

Answers

Answer:

0.847 molecule.

Explanation:

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

Mass of X₄Z₃ = 3.93×10¯²² g

Number of molecules of X₄Z₃ =?

Avogadro's number = 6.022×10²³ molecules

Next, we shall determine the molar mass of X₄Z₃. This can be obtained as follow:

Molar mass of X₄Z₃ = (4×59.45) + (3×13.84)

= 237.8 + 41.52

= 279.32 g/mol

Finally, we shall determine the number of molecules in 3.93×10¯²² g of X₄Z₃. This can be obtained as follow:

From Avogadro's hypothesis,

1 mole of X₄Z₃ = 6.022×10²³ molecules

But 1 mole of X₄Z₃ = 279.32 g

Thus we can say that:

279.32 g = 6.022×10²³ molecules

Therefore,

3.93×10¯²² g = 3.93×10¯²² × 6.022×10²³ / 279.32

3.93×10¯²² g = 0.847 molecule.

Thus, 3.93×10¯²² g of X₄Z₃ contains 0.847 molecule.

According to the following reaction, how many moles of calcium chloride will be formed upon the complete reaction of 27.9 grams of calcium hydroxide with excess hydrochloric acid? calcium hydroxide (aq) + hydrochloric acid (aq) calcium chloride (aq) + water (l) moles calcium chloride

Answers

Answer: 0.377 moles of calcium chloride will be formed.

Explanation:

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} Ca(OH)_2=\frac{27.9g}{74g/mol}=0.377moles[/tex]

The balanced chemical reaction is:

[tex]Ca(OH)_2+2HCl\rightarrow CaCl_2+2H_2O[/tex]  

According to stoichiometry :  

As 1 mole of [tex]Ca(OH)_2[/tex] give = 1 mole of [tex]CaCl_2[/tex]

Thus 0.377 moles of [tex]Ca(OH)_2[/tex] give =[tex]\frac{1}{1}\times 0.377=0.377moles[/tex]  of [tex]CaCl_2[/tex]  

Thus 0.377 moles of calcium chloride will be formed upon the complete reaction of 27.9 grams of calcium hydroxide with excess hydrochloric acid

Steel is an alloy of iron and carbon. The addition of carbon to iron enhances which of the following properties of iron metal?
O A hardness
O B. malleability
O C. ductility
O D. softness​

Answers

Answer:

The answer should be A. Adding carbon to iron makes it tougher and stronger.

The addition of carbon atom to iron metal, enhances the property of hardness of metal.

What is alloy?

Alloy is a compound which is formed by the mixture of two or more than two metals with different properties to make a new compound with better properties.

When we add carbon atom in the iron metal, it deviates the crystal lattice property of iron and makes it more harder. So, the content of carbon in the iron is directly proportional to the hardness of iron metal.

Hence, option (A) is correct i.e. hardness.

To know more about hardness, visit the below link:
https://brainly.com/question/18173707

Sam noticed on a climate map that most of the areas with high rainfall and a tropical climate were located in one region. Why are all the rainy, tropical areas found at a similar latitude? Describe the factors that influence the climate in this location.

Answers

Answer:

Okay here's the answer ↓

Step-by-step explanation:

Tropical climate is one of the five major climate groups in the Köppen climate classification. Tropical climates are characterized by monthly average temperatures of 18 ℃ (64.4 ℉) or higher year-round and feature hot temperatures. Annual precipitation is often abundant in tropical climates, and shows a seasonal rhythm to varying degrees. There are normally only two seasons in tropical climates, a wet season and a dry season. The annual temperature range in tropical climates is normally very small. Sunlight is intense because they are receiving direct sunlight.

What does CoH12O6 tell you about the glucose molecule?

Answers

Answer:

Glucose = C6H12O6

molecular mass = 6(12) + 12(1) + 6(16)

= 72 + 12 + 96

= 180 g

Explanation:

Glucose has a chemical formula of: C6H12O6 That means glucose is made of 6 carbon atoms, 12 hydrogen atoms and 6 oxygen atoms. ... Glucose is produced during photosynthesis and acts as the fuel for many organisms.

Which part of the atom was discovered last?

Answers

Answer: The nuetron was

Explanation: sorry is this is incorrect but im

99% its right

Which of the following describes how the mid Atlantic ridge formed on earth at a divergent plate boundary.
A Plates move in closer
B Plates slid past each other
C Plates moved with each other in the same direction
D Plates moved apart
Srry couldn’t find science

Answers

Answer:

Maybe (C)

...............

Answer:

A. plates move in faster

Explanation:

The convergence is a process where both the plates tend to move in closer as one plate overrides the other and the formation of a Himalayas is described as a range that formed by the movement of the sediments that were bought by the Tethys sea. By the collision of the Indian and the Eurasian plate.

i hope this helps

alquien por favor que me ayude con ejercicios de química orgánica?​

Answers

dime cómo es el trabajo y veo si te puedo ayudar

what are the three important properties of acids

Answers

taste, smell, texture, reactivity
Taste, smell, texture, reactivity,.

Which of the following elements would be considered a compound? CH, Si, F, O6

Answers

Answer:

CH

Explanation:

CH, a typical sample of the compound contains one atom of carbon (C) to one atom of hydrogen (H).

Density of water calculation using a 10 mL graduated cylinder

10 mL graduated cylinder + 10 mL unknown liquid (g) 10 mL graduated cylinder (g) Volume of liquid (mL) Density (g/mL)
Trial 1 19.731 9.861 10.0
Trial 2 19.831 9.861 10.0
Trial 3 19.831 9.861 10.0
Trial 4 19.771 9.861 10.0
Trial 5 19.751 9.861 10.0

Required:
Calculate the average density for the gradudated cylinder measurements.

Answers

Answer:

Average density of the liquid = 0.992 g/mL

Explanation:

Density = mass/volume

mass of liquid = (mass of liquid + mass of cylinder) - mass of cylinder

Trial 1: mass of liquid = 19.731 - 9.861 = 9.87

volume of liquid = 10 mL

density of liquid = 9.87 g / 10 mL = 0.987 g/mL

Trial 2: mass of liquid = 19.831 - 9.861 = 9.97

volume of liquid = 10 mL

density of liquid = 9.97 g / 10 mL = 0.997 g/mL

Trial 3: mass of liquid = 19.831 - 9.861 = 9.97

volume of liquid = 10 mL

density of liquid = 9.97 g / 10 mL = 0.997 g/mL

Trial 4: mass of liquid = 19.771 - 9.861 = 9.91

volume of liquid = 10 mL

density of liquid = 9.91 g / 10 mL = 0.991 g/mL

Trial 5: mass of liquid = 19.751 - 9.861 = 9.89

volume of liquid = 10 mL

density of liquid = 9.89 g / 10 mL = 0.989 g/mL

Average density = (0.987 + 0.997 + 0.997 + 0.991 + 0.989)/5 = 4.961/5

Average density of the liquid = 0.992 g/mL

True or False Weather is the condition or earth's atmosphere at a certain place and time.

Answers

Answer:

True

Explanation:

Weather is short term, climate is over the long term

Answer:

true, different weather patterns are found all around the world at different times, there could be a hurricane in the gulf of mexico and as a result of the storm tornadoes could break out in texas

Explanation:

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