The radius of a single atom of a generic element X is 169 picometers (pm) and a crystal of X has a unit cell that is body-centered cubic. Calculate the volume of the unit cell.

Answers

Answer 1

The volume of the unit cell is 2.67 x 10⁻²⁸ m³.

What is the volume of a unit cell of a body-centered cubic crystal?

In a body-centered cubic unit cell, the volume occupied by the particles of the substance is about 68% of the total unit cell.

Assuming that a single atomic a sphere, the volume is:

Volume(atom) = 4/3 x π x r³

Volume(atom) = 4/3 x π x (169 x 10⁻¹²)³

Volume(atom) = 2.02 x 10⁻²⁹ m³

There are a total of 9 atoms in a body-centered unit cell, so the total volume occupied by atoms is:

2.02 x 10⁻²⁹ x 9

= 1.82 x 10⁻²⁸ m³

Volume of cell = (1.15 x 10⁻²⁸ ) / 0.68

Volume of cell = 2.67 x 10⁻²⁸ m³

Therefore, the volume of the unit cell is 2.67 x 10⁻²⁸ m³.

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Related Questions

Calculate AH for the reaction:
2N2 (g) + 6H20 (g) → 302 (g) + 4NH3(g)

Answers

Answer:

Explanation:

4NH₃ (g) + 3O₂ (g) ⇒ 2N₂ (g) + 6H₂ O(1)

Δ[tex]H_r={\sum}{ \Delta }H_f(\text{product})-{\sum}{ \Delta }H_f(\text{reactant})[/tex]

ΔH r =(2ΔH f(N 2 )+6ΔH f (H 2 O(l)))−(4ΔH f​ (NH 3 (g))+3ΔH f (O 2 (g)))

ΔH rex =[2×0+6×(−286)]−[4×(−46)+3×0]=−1716+186

ΔH rex =−1532kJ/mol

Thermodynamics is a branch of physical chemistry that studies heat and its effects and interactions. Governed by the four main laws, thermodynamics plays a huge role in physics and chemistry, and is also responsible for the law of conservation of energy, a fundamental rule in science.


Lenses:
reflect light.
can only be concave.
do not have an optical axis.
None of the choices are correct.

Answers

Answer:

B. Can only be concave

Explanation:

Statement A is false because lenses do not reflect light. Lenses do have an optical axis.

SOUND ENERGY :SCIENCE:


If you have A B C and D 4cups and A has nothing A is control Because the pitch is high but why is it important to have control

Answers

Answer:

As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder. Relative sound intensities are often given in units named decibels (dB).

Explanation:

Question 4 of 10
Which statement best describes how scientists and engineers work together
in the research and development cycle?
OA. Scientists develop a theory, and then engineers perform
experiments to verify its accuracy.
B. Engineers do experiments to answer questions about nature, and
then scientists use the results to create a new technology.
OC. Scientists make designs based on engineering knowledge and
then make it available for public use.
D. Engineers develop a new technology, and then scientists use it to
make a new discovery.

Answers

Answer: Scientists make designs based on engineering knowledge and

then make it available for public use.

What type of reaction is shown below? Check all that apply.

2Mg+O2→2MgO

Answers

Answer:

synthesis reaction

Explanation:

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describe another way in which human activities that benefit society can also cause environmental risk.

Answers

Okay bud I’m going out for church tomorrow so I’m just tired of getting tired my head hurts too much I just don’t need anything you need anything I just got out of the house I’m just laying here watching

Draw the product you expect from the reaction of (R)-2-bromooctane with -CH3CO2- and Br-.. Use the wedge/hash bond tools to indicate stereochemistry where it exists. Include H atoms at chiral centers only. If a group is achiral, do not use wedged or hashed bonds on it.

Answers

From the mechanism shown, the major product of the reaction is (S)-(+)-2-octanol.

What is an SN2 reaction?

An SN2 reaction is one in which there is an inversion of configuration and the attack of the nucleophile occurs from behind the substrate.

As shown in the mechanism attached here, the major product of this reaction is (S)-(+)-2-octanol.

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Which of the following is the conjugate base of H3PO4?
2-
OA. HPO4²-
3-
O B. PO4³-
O C. H₂PO4
O D. H₂PO4+

Answers

Answer:

H2 PO4 -1 is the correct answer

An acid and a base which differ from each other by a proton are said to form a conjugate pair. Here the conjugate base of H₃PO₄ is H₂PO₄⁻. The correct option is C.

What is a conjugate base?

The entity produced when acid gives up a proton has a tendency to regain the proton and hence it behaves as a base. It is called the conjugate base of the parent acid. A base is a substance which acts as a proton acceptor.

Here the conjugate base of H₃PO₄ is formed when a proton is lost from it. So the lose of one proton forms the molecule H₂PO₄⁻ which is the conjugate base. An acid is a proton donor.

When a base accepts a proton it has a tendency to donate the proton and hence behaves as an acid. It is called the conjugate acid of the parent base.

Thus the correct option is C.

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a gas measures 725mm and 32C. what will be the temperature of the gas at 705mm?

Answers

Answer:

31°C

Explanation:

Using the ratio, we can find the temperature of the gas at 705mm.

 725mm : 32°C

 705mm : x

[ x is the temperature we have to find ]

Cross multiply the ratios.

 725x = 705 × 32

 725x = 22560

 x = [tex]\frac{22560}{725}[/tex] = 31°C

Please help.
Which organic product is formed in the reaction shown in the diagram?

Answers

The organic product formed in the reaction shown in the image would be bromoethane.

Substitution reaction in alkanes

Alkanes, such as ethane undergoes a substitution reaction with halogens such as bromine to produce haloethanes.

For example, the equation of the reaction between ethane and bromine water is as below:

[tex]C_2H_6 + Br_2 --- > C_2H_5Br + HBr[/tex]

The products formed are bromoethane and hydrobromic acid.

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A solution of the ionic salt
NaCI would have
pH.
an acidic
a basic
a neutral

Answers

Answer:

Neutral

Explanation:

NaCl aqueous solution is formed by NaOH and HCl.

NaOH is a base and HCl is an acid, so they go through neutralization process forming a neutral salt and water.

Energy and Enthalpy Changes, Heat and Work -- Monatomic Ideal Gas dynamically generated plot 2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D: State A PA=11.0atm, VA=12.50L State B PB=11.0atm, VB=7.00L State C PC=25.0atm, VC=7.00L State D PD=25.0atm, VD=20.50L Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step. Calculate q for this process. q = 1pts Tries 0/6 Calculate w for this process. w = -902 J Use w = -PΔV and sum over the individual steps. Check that you have the correct energy units and be sure you have the sign right (w is defined as the work done ON THE SYSTEM). 1pts Incorrect. Tries 4/6 Previous Tries Calculate ΔE for this process ΔE = 1pts Tries 0/6 Calculate ΔH for this process. ΔH = 1pts

Answers

(a) The heat generated in the process is 28 kJ.

(b) The work done in the process is determined as -28 kJ.

(c) The change in the internal energy is 0.

Heat of the isothermal compression

The heat generated in the process is negative done in the process.

W = -PΔV

W = -P(V₂ - V₁)

From A to B

W = -P(VB - VA)

W = -11(7 - 12.5)

W = 60.5 L.atm = 60.5 x 101.325 J/L.atm = 6,130.16 J

From C to D

W = -25(20.5 - 7)

W = -337.5 L.atm = -34,197.18 J

Total work , w = -34,197.18 J +  6,130.16 J = -28 kJ

q = - w

q = 28 kJ

Change in internal energy

ΔE = q + w

ΔE = 28 kJ - 28 kJ = 0

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What volume of oxygen gas is needed for the complete combustion of 40.0 liters of hydrogen gas?

Answers

Answer:

2C2H6 + 7O2 ==> 4CO2 + 6H2O

When dealing with gases, it is possible to use liters and mols interchangeably.

So 4.00 L C2H6 x (7 mols O2/2 mols C2H6) = 4.00 x 7/2 = ? L O2

Explanation:

what is the speed of light?can a object move in speed of light?​

Answers

Answer:

The speed of light is the speed at which light travels. No, an object cannot move at the speed of light.  

Explanation:

The speed of light is 186,000 miles per second. An object with mass cannot move at the speed of light since it would take an infinite amount of energy to achieve that velocity, since only massless particles can travel at the speed of light. Also, you would have to factor in air friction, meaning even if an object were to reach such high speeds, it would instantly disintegrate.

A solution of 0.20 M NaOH is used to prepare 0.10 M NaOH. How much of the 0.20 M solution is needed to prepare 455 mL of the diluted NaOH?

Answers

Taking into account the definition of dilution, 227.5 mL of the 0.20 M solution is needed to prepare 455 mL of the diluted NaOH.

What is Dilution

Dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.

In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.

A dilution is mathematically expressed as:

Ci×Vi = Cf×Vf

where

Ci: initial concentrationVi: initial volumeCf: final concentrationVf: final volume

Initial volume

In this case, you know:

Ci= 0.20 MVi= ?Cf= 0.10 MVf= 455 mL

Replacing in the definition of dilution:

0.20 M× Vi= 0.10 M× 455 mL

Solving:

(0.10 M× 455 mL)÷ 0.20 M= Vi

227.5 mL= Vi

In summary, 227.5 mL of the 0.20 M solution is needed to prepare 455 mL of the diluted NaOH.

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A gas occupies 4.31 liters at a pressure of 0.755 atm. Determine the Temperature

Answers

A gas that occupies 4.31 litres at a pressure of 0.755 atm will have a temperature of 39.58°C. Details about temperature can be found below.

How to calculate temperature?

The temperature of a gas can be calculated using the following formula:

PV = nRT

Where;

P = pressureV = volumen = number of molesR = gas law constantT = temperature

0.755 × 4.31 = 1 × 0.0821 × T

3.25 = 0.0821T

T = 3.25 ÷ 0.0821

T = 39.58°C

Therefore, a gas that occupies 4.31 litres at a pressure of 0.755 atm will have a temperature of 39.58°C.

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So I’m in 6th grade and this is a chart. I need the # of molecules, # of atoms in each element and the total # of atoms 2H₂SO

Answers

Answer:

1.) 2 molecules

2.) 4 H atoms, 2 S atoms, 2 O atoms

3.) 8 total atoms

Explanation:

1.) 2 H₂SO

--------> The molecule is all of the elements bonded together (H₂SO). Because there is a coefficient of 2 in front of the molecule, this means that there are 2 molecules present.

2.) 2 HSO

---------> The number of atoms of each element is determined by the subscripts and the coefficients. In one molecule, there is one oxygen, one sulfur, and 2 hydrogen atoms (denoted by subscripts). Because there are two molecules, these values are doubled.

3.)

--------> The total number of atoms is calculated by adding the number of atoms of each element. If between 2 molecules there are 4 hydrogens, 2 sulfurs, and 2 oxygens, combined there would be a total of 8 atoms.

A student didn't notice that her pipette tip was broken. She used the pipette properly but it consistently delivered 4.70 cm³ of vinegar instead of the desired 5.00 cm³. How would the percent by mass results obtained have been affected? Explain your answer.​

Answers

The mass % will be affected by 0.25%.

What is mass percentage ?

Mass Percentage is defined as the grams of solute per gram of solution , multiplied by 100%

It is given that

She used the pipette properly but it consistently delivered 4.70 cm³ of vinegar instead of the desired 5.00 cm³.

Mass Percentage affected = ?

Mass is directly proportional to the volume

For calculating ratios of the  same compound the density can be neglected

the density of vinegar is 1.05 gm/cm³

mass for 5cm³= 5*1.05 = 5.25gm

mass for 4.75 cm³ = 4.9875 gm

for 100 gm solution

mass% expected = 5.25* 100/100 = 5.25%

mass % (actual) = 4.9875 / (100-0.2625) = 5%

Therefore the mass % will be affected by 0.25%.

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The food you eat can be broken into three main groups: _____, _____, and _____.
1 carbohydrates, fats, and vitamins
2 proteins, fats, and minerals
3 carbohydrates, fats, and proteins
4 proteins, vitamins, and minerals please help :)

Answers

Answer:

carbonhydrates, fats and ptoteins

Answer:3 carbohydrates, fats, and proteins

Explanation:

A certain atom has 22 protons and 19 electrons. This atom loses an electron. The net charge on the atom is now 4+. If this same atom with 22 protons and 19 electrons were to gain 3 electrons, the net charge on the atom would be

Answers

Answer: 0

Explanation:

If 3 electrons were to be gained, then the number of protons would equal the number of electrons.

Chemistry B Semester Exam
An unknown substance has a boiling point of 174°C. Which statement is true about this unknown substance? (1 point)
-It has a lower boiling point than water, and it likely has stronger electrostatic forces between its molecules
than water.
-It has a higher boiling point than water, and it likely has stronger electrostatic forces between its molecules
than water.
-It has a lower boiling point than water, and it likely has weaker electrostatic forces between its molecules
than water.
-It has a higher boiling point than water, and it likely has weaker electrostatic forces between its molecules
than water.

Answers

Answer:

See below

Explanation:

Boiling point of water is 100 C

 this substance is higher boiling point and the molecules are likely with higher e-static forces

The unknown substance has a higher boiling point than water, and it has stronger electrostatic forces between its molecules than water. Therefore, option B is correct.

Boiling point is a measure of the temperature at which a substance changes from a liquid to a gas phase. Substances with higher boiling points generally have stronger intermolecular forces, such as hydrogen bonding or stronger dipole-dipole interactions.

Since the boiling point of the unknown substance is higher than that of water (which boils at 100°C), it suggests that the unknown substance likely has stronger electrostatic forces between its molecules compared to water.

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What is the mass of a cube that has a density of 45g/ml and a volume of 15 ml?

Answers

Answer:

675g

Explanation:

The equation that relates mass, density and volume is:

Density = mass ÷ volume

By rearranging the equation we can find the mass of the cube.

Mass = density × volume

Mass = 45 × 15

∴ Mass = 675 grams

A sample of gas is collected in a flask with a volume of 267 mL at a pressure of 771 mmHg and a temperature of 21C. If the mass of the gas is 1.05 g, what is the molar mass of the gas?

Answers

Answer:

M=93.5g/mol

Explanation:

I did this in class and it was a review. :)

The energy changes in two partial reactions are 225.3 kJ
and -432.0 kJ. The combined reaction is exothermic.

Answers

The combined reaction is exothermic , with the heat of reaction as -206.7 kJ

What is an Exothermic Reaction ?

A reaction in which energy is liberated when reactants react to form products , The energy level of the reactant is more than that of the products.

The energy is liberated in the form of heat.

In the question it is given that

The energy changes in two partial reactions are 225.3 kJ and -432.0 kJ

The combined reaction is exothermic.

For the reaction to be exothermic the value of the heat of the reaction must be negative.

Summing the two energy changes will give us the heat of the combined reaction.

225.3 - 432.0

= -206.7 kJ

The combined reaction is exothermic , with the heat of reaction as -206.7 kJ.

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What happens if i don’t pass the chemistry regent?

Answers

Answer:

You will typically get another chance to retake the exam

Answer:

well you either have a chance to retake the test if your teacher or just not let you take it at all. you have to pass 4 regents test including chemistry in order to get a regent diploma. so you can either retake or it you just failed it.

determine the number of gram of gas produced when 4.66 mole of water produced from the complete combustion of butane​

Answers

.we can read the chemical preparation of the reaction as: "4 g of hydrogen react with 32 g of oxygen to give 36 g of water".   :)

How many moles of nitric acid are present in 50.0 g?

Answers

Answer:

3150.5g

Explanation:

1 mole of nitric acid weighs 63.01g

so i did 63.01g times 50.0g which equals 3150.5g

g= Grams

Hope This Helped

Answer:

0.79 moles

Explanation:

Formula :

Number of moles = Weight of substance / molecular mass

=============================================================

Here :

⇒ Weight of HNO₃ = 50 g

⇒ Molecular mass = 63 g

============================================================

Solving :

⇒ Number of moles = 50/63

⇒ Number of moles = 0.79 moles

different between effort and load​

Answers

Answer:

Is that load is a burden; a weight to be carried while effort is the work involved in performing an activity; exertion.

Explanation:

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What do the little numbers (subscripts) next to the lower right of each letter mean in the C₂H₄O₂?

Answers

Answer:

It represents the number of atoms of that particular element present in the compound. In C₂H₄O₂ there are 2 Carbon atoms, 4 Hydrogen atoms and 2 Oxygen atoms.

PLEASE HELP!
The vapor pressure of benzene at 25 °C is 95.1 mm Hg and of toluene 28.4 mm Hg. The mass fractions of benzene and toluene in a solution are 0.5.
a) Calculate the partial pressure of benzene and toluene above the solution.
b) Calculate the total vapor pressure above the solution.
c) Calculate the vapor composition above the solution.

Answers

Benzene be B

Toluene be T

We have made then one lettered to make things easier

[tex]\sf P^0_B=95.1mmHg,P^0_T=28.4mmHg[/tex][tex]\sf x_B=x_T=0.5[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{P^0_B-P_B}{P^0_B}=x_B[/tex]

[tex]\\ \rm\Rrightarrow 95.1-P_B=95.(0.5)[/tex]

[tex]\\ \rm\Rrightarrow 95.1-P_B=47.55[/tex]

[tex]\\ \rm\Rrightarrow P_B=47.55mmHg[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{P^0_T-P_T}{P^0_T}=x_T[/tex]

[tex]\\ \rm\Rrightarrow 28.4-P_T=28.4(0.5)[/tex]

[tex]\\ \rm\Rrightarrow P_T=14.2mmHg[/tex]

Total vapour pressure

28.4+95.1123.6mmHg
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