what is the edge length of a body-centered cubic unit cell made up of atoms that each has a radius of 178 pm ?

Answers

Answer 1

The edge length of a body-centered cubic unit cell made up of atoms of radius 178 pm is 411.074 pm.

The body-centered cubic unit cell is defined as an unit cell that has atoms at each of the eight corners of a cube (like the cubic unit cell) plus one atom present in the center of the cube. Each of the corner of  atoms is the corner of another cube so the corner atoms are shared among eight unit cells.

Length of body diagonal = r + 2r + r

                                         = 4r

From the cube, body diagonal = √(3) a

∴ 4r = √(3) a

Where:

a: is the edge length

R: is the radius of each atom = 178 pm      

By solving equation the equation for "a" we have:

a = 4r/√(3)

⇒ a = (4 × 178)/√(3)

⇒ a = 411.074 pm

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Related Questions

based on the molar mass of nacl (58.44 g/mol) and on the count of the ions inside the unit cell, what is the mass (in grams) of nacl is in a unit cell.

Answers

Therefore, 0.25 moles of unit cells will be present in 58.5 g.

How many atoms make up a mole of sodium chloride?

Therefore, 6.0231023 6.023 10 23 molecules make up 1 mole of NaCl. The total number of atoms in 1 mole of NaCl N a C l is twice Avogadro's number, or 6.0231023 6.023 10 23 because each molecule of the salt has two atoms (Na and Cl).

How can you determine an ion's mass?

Similar to covalent compounds, the formula mass of an ionic compound is determined by adding the average atomic masses of all the atoms in the compound's formula.

Calculation:

1 mole of NaCl

Avogadro's number, or 6.0231023

0.25 moles of unit cells will be present in 58.5 g.

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A baseball player throws a ball with a force of 10N. The ball travels 20 meters? How much work was done?

Answers

Answer:

200Joules

Explanation:

W=Fd                                                                                                                                         W=10×20                                                                                                                             W=200J

melt-away creamery combines sugar, cream, and the best natural flavorings, then churns and freezes the resulting mixture at a very low temperature, creating ice cream. the method melt-away uses is an example of

Answers

Melt-away creamery combines sugar, cream, and best natural flavorings, then churns and freezes resulting mixture at low temperature, creating ice cream. This method is an example of process manufacturing.

What do you understand by process manufacturing?

A production method that creates goods by combining supplies, ingredients or raw materials using formula or recipe is called process manufacturing.

It is usually used in industries that produce bulk quantities of goods, like food, beverages, refined oil, gasoline, pharmaceuticals, chemicals and plastics. Process manufacturing is also known as a process industry and is defined as an industry, like the chemical or petrochemical industry, that is concerned with the processing of bulk resources into other products.

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A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.”

Answers

Answer:

According to the graph, during year 14, revenue from online ads is approximately $4.2 million, while revenue from online ads has more than doubled revenue from printed ads (at least by year 14)

Both curves intersect between the seventh and eighth year, I would say around the middle of year 7, and both online ads and printed ads generated an approximate revenue of $2.2 million each

Explanation:

Balance the following redox reaction if it occurs in basic solution. What are the coefficients in front of br2 and oh- in the balanced reaction?.

Answers

The coefficients in front of br2 and oh- in the balanced reaction:

Br2 = 3, OH- = 6

There are indices that are part of the chemical formulas of the reactants and products. Also, there is a coefficient in front of the formula that indicates how many molecules of that substance are used or produced.

The number before the equation to balance the equation is called the factor which multiplies all the atoms in the equation. For example, the symbol 2NaHCO3 indicates two units of sodium bicarbonate containing 2 Na atoms 2 H atoms 2 C atoms, and 6 O atoms. Coefficients indicate how many numerators there are in a given expression.

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How many moles of O are in 132.03 g of CO2? (molar mass = 44.01 g/mol)?

Answers

There are 3.00 molecules of CO2 in 132.03 grams of CO2.

What is mass?

Mass is quantitative measure of interia a fundamental quantity of all matter.

Mass of CO2 = 132.03 grams

Number of molecules of CO2 = ?

Molar mass of CO2 = ?

For the molar mass of CO2: Atomic mass of Carbon = 12; Oxygen = 16

= 12 + (16 x 2)

= 12 + 32 = 44g/mol

Apply the formula:

number of molecules = (mass in grams/molar mass)

N = (132.03 grams/44g/mol)

N = 3.00 molecules

Thus, there are 3.00 molecules of CO2 in 132.03 grams of CO2.

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draw the major product formed when the epoxide reacts with methanol in the presence of sulfuric acid. use wedge‑and‑dash bonds, including hydrogens at each stereogenic center, to show the stereochemistry of the product.

Answers

The major product of the reaction is (2S,3R)-3-methoxy - 3-methylpentan-2-ol

Epoxide reacts with methanol in the presence of sulfuric acid.

In this chemical reaction, methanol act as nucleophile and sulfuric acid act as catalyst.

What are Epoxides?

Epoxides are a type of cyclic ether in which a three-membered ring is formed by a oxygen atom bonded to two adjacent carbon atoms. They are also known as oxiranes. Epoxides are used in a variety of applications, including as chemical intermediates, catalysts, and as raw materials for a range of products.

What is sulfuric acid?

Sulfuric acid is a strong, corrosive acid that is used in a variety of industrial applications. It is also known as battery acid, as it is used in car batteries to facilitate a chemical reaction. Sulfuric acid is colorless and odorless, and is composed of two hydrogen atoms, one sulfur atom, and four oxygen atoms.

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In a spectrophotometer, both absorbance and transmittance indicate choose. Passing through a sample. A high absorbance corresponds to a choose. Transmittance.

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If the solution absorbs large amount of light, then it will transmit very less amount of light. Therefore, A high absorbance corresponds to a Low transmittance.

What is spectrophotometer?

A spectrophotometer is a device that accurately measures electromagnetic energy at specific wavelengths of light. It uses properties of light and energy to identify colors and determine the amount of each color in a ray. The two main components of a spectrophotometer are the spectrometer and the photometer.

Spectrometer: A spectrometer sends a straight beam of light through a lens to a prism, which splits it into individual wavelengths. A wavelength selector then filters only the specified wavelengths and sends them to the photometer.

Photometer: A photometer is a piece of device that detects the number of photons absorbed and transmits that measurement to a digital readout.

Therefore, A high absorbance corresponds to a Low transmittance.

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you have a flask to which you add 0.025 m nh3, 0.25m n2 what is the value of the equilibrium constant

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The value of the Equilibrium Constant is 1  when 0.025 m NH3, 0.25m N2 is added to the flask.

The value of a chemical reaction's reaction quotient at chemical equilibrium, a state that a dynamic chemical system reaches when enough time has passed and at which its composition has no observable tendency to change further, is the equilibrium constant for that reaction. As a result, the composition of a system at equilibrium can be calculated from its initial composition using known equilibrium constant values. The equilibrium constant's value, however, may be impacted by parameters affecting the reaction, such as temperature, solvent, and ionic strength.

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c Shazad's pebble has a mass of 90 g and a volume of 30 cm³. What is its density?

Answers

Answer:

Density = 3 g/cm³

Explanation:

Density is a ratio which compares an object's mass per every 1 unit volume. Grams is a unit of mass and cm³ is a unit of volume. Since you have been given values for both a mass and volume, you can use them to determine the density.

Density = g/cm³                                     <----- Density units

Density = 90 g / 30 cm³                        <----- Insert values

Density = 3 g / 1 cm³                              <----- Simplify

Density = 3 g/cm³

2H2O2 → O2 + 2H2O

a. Single Displacement
b. Synthesis
c. Decomposition
d. Combustion

Which one of these is it?

Answers

Answer:

c. decomposition

Explanation:

it formula is splitting between O2 and 2H2O

How would u know what kind of solvent is needed to clean a grease stain

Answers

Answer:

Trichloroethane is a solvent used to remove grease from clothes.

in double replacement reactions, why will two metals not combine with each other when products are formed?

Answers

When both products are soluble, a double replacement equation will not produce a reaction.

What causes certain double displacement reactions to be inert?

We use the (s) symbol for solid because salt is an insoluble substance that will not dissolve in water. The silver, fluoride, potassium, and chloride ions would have effectively moved to a new location if there had been no precipitate formation, but they would still be floating around as ions. In this scenario no reaction happens.

What guidelines apply to responses involving double replacement?

A double replacement reaction occurs when two ionic compounds swap ions to form two new ionic compounds. The following response is an example of this kind: AB + CD AD + CB.

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What are some of the disadvantages of electron microscopy?
Explain

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A type of microscope known as an electron microscope uses an accelerated electron beam as its illuminating source.

The electron microscope offers benefits and drawbacks. One of the biggest drawbacks of the electron microscope, though, is that it cannot examine live samples. As a result of utilizing this microscope to view microorganisms, the following drawbacks are listed:

*Samples must be exposed to analysis in a vacuum state since other molecules in the air easily scatter electrons. This states that using this microscope to study live specimens is not possible.

*Additionally, the requirement that the sample be evaluated in a vacuum state makes it impossible to comprehend biological interactions in various bacteria.

*When investigating microorganisms, an electron microscope can only provide black-and-white images, which is not ideal.

* Equipment as expensive and specialised as electron microscopes. The employment of an electron microscope in the research could be counterproductive because most studies have little funding.

* For proper use of this technology, specialized operators, who may need years of training, are needed to operate electron microscopes.

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1. Use Models: How does the GPS determine its distance from each satellite?

Answers

The GPS receiver in your mobile device compares the time signals it receives from the satellites with its internal clock. Knowing the speed of light and when the signals were sent and received, your device can calculate your distance from each satellite, and thereby home in on your longitude, latitude and altitude

why would methyl salicylate be much more volatile than salicylic acid? refer to the structures of the acid and ester to explain your reasoning.

Answers

The reason that methyl salicylate be much more volatile than salicylic acid is because:

Methyl salicylate (MeSA) is a volatile that has been demonstrated to help plants defend themselves from diseases and some herbivores, most notably aphids. It has been demonstrated to have the ability to manage the aphid pest, but little is known about its mode of action, particularly the induced plant-mediated effects.

Salicylic acid is it flammable?

Salicylic acid's COOH group is esterified with methanol in methyl salicylate (oil of wintergreen), whereas acetylsalicylic acid (aspirin) has acetic acid as the acid component of the ester and salicylic acid provides the phenolic OH group.

Note that Methyl salicylate, a volatile methyl ester of salicylic acid, can also diffuse into the atmosphere and aid in plant-plant communication.

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an absoprtion spectrum shows an empty space where a green wavelength should be. how does this occur in the atom

Answers

The green wavelength is absorbed by the medium hence it does not appear.

What is the absorption spectrum?

We know that absorption has to do with the process by which the atom is able to take in energy and this would lead to the upward movement of the electrons that are in the atom.

Thus the wavelengths that can be taken in by the atom as it is absorbing energy can be seen in the absorption spectrum. It is also possible to have gaps in the absorption spectrum due to absorption by the medium.

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how many protons, neutrons, and electrons, respectively, by the following symbol? 4822x

Answers

The number of protons, electrons, and neutrons in the element, ⁴⁸₂₂X is:

Number of protons = 22

Number of electrons = 22

Number of neutrons = 26

What are protons, electrons, and neutrons?

Protons are the positively charged particles found within the nucleus of an atom. The number of protons in the nucleus of an atom gives the atomic number of that element.

Electrons are the negatively-charged particles found within electron shells or a[orbits around an atom.

Neutrons are the neutral particles found within the nucleus of an atom. The number of neutrons together with the protons gives the atomic mass of the atom.

The given element, ⁴⁸₂₂X has the following number of protons, electrons, and neutrons:

Number of protons = 22

Number of electrons = 22

Number of neutrons = 48 - 22

Number of neutrons = 26

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Suppose you found a material in which 12. 5% of the original radioactive atoms were present. If the half-life is 47 years, how old is the material?

Answers

The response dates back 141 years. The formula (1/2)n = x can be used to compute it. x is the remaining fraction, There are n half-lives in total.

How do you determine a radioactive substance's half-life?

The amount of time needed for the reactant concentration to drop to half its initial value is known as the half-life of a reaction. A first-order reaction's half-life is a constant that is correlated with its rate constant radioactive atoms: t1/2 = 0.693/k.

How many half life does it take for a radioactive substance, such as a 1 C 3 b2 D 4, to decay to 12.5 percent of its initial volume?

The period of time it takes for half of the atoms in a given sample to experience radioactive, or nuclear, decay, is known as the half-life of a radioisotope.

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The pH of a 0. 095 M solution of an unknown monoprotic acid is 5. 42. Calculate the Ka of the acid

Answers

Ka of Monoprotic Acid

Ka = [H+] [A-] / [HA]

What is a Monoprotic Acid?

One proton or hydrogen atom per molecule is all that a monoprotic acid contributes to an aqueous solution. In contrast, polyprotic acids, which can donate more than one proton or hydrogen, can do so. Depending on how many protons they can contribute, polyprotic acids can be further divided into several types.

Given,

Ph = 5.42;

Conc of unknown MonoProtic Acid = 0.095M;

X= conc. of H+ = 3.8×10∧-6

Ka = x∧2 / 0.095 - x

We know the value of x, obtained from pH:

x = [H+] = 10∧-5.42 = 3.8 x 10∧-6

We solve for Ka

Ka = [3.8 x 10∧-6]2 / [0.095 - 3.8 x 10∧-6]

Ka = 1.5216 x 10∧-10

So, Ka of Monoprotic Acid

Ka = [H+] [A-] / [HA]

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Identifying isotopes helpp

Answers

The atomic number of the atom in image A is 3The mass number of the atom in image B is 7The two atoms that are the same element with different mass numbers are atoms A and C

What are isotopes?

Isotopes are any of two or more forms of an element where the atoms have the same number of protons, but a different number of neutrons within their nuclei. Thus, isotopes have the same atomic number but a different mass number.

In an atom, there are three components called subatomic particles as follows:

ProtonElectronNeutron

In a neutral atom, the number of protons, which is the atomic number, equate the number of electrons.

According to this question, the transparent subatomic particle inside the atom's nucleus is proton while the blue colored particle is the neutron.

In atom A, there are 3 protons, hence the atomic number of atom A is 3. However, in atom B, the number of protons and neutrons are 4 and 3 respectively, hence, the mass number i.e. protons + neutrons is 7.

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. Calculate the frequency of a photon with an energy of 2.55 x 10-18 J

Answers

Answer:

The equation gives the frequency of a photon

f = E/h,

Where E is the photon's energy and h is Planck's constant (6.626 x 10-34 J s).

Substituting the values, we get:

f = 2.55 x 10-18 J / (6.626 x 10-34 J s)

 = 3.85 x 1015 Hz

Explanation:

Scientists are studying fertilizers to help grass grow in southern California. Fertilizer is any substance that can be added to soil to help plants grow in it. In other words, fertilizer makes soil more fertile. The scientists set up different plots of land that all use the same type of soil and grass seed, but they use different types of fertilizer in each plot. Scientists then measure the grass growth in the different soils over time.

How should scientists set up the control group in this experiment?

a plot with grass seed but no fertilizer in the soil
a plot with grass seed and many types of fertilizer in the soil
a plot without any grass seed or any fertilizer in the soil
a plot without any grass seed but with fertilizer in the soil

Answers

Answer:

The corrrect answer will be option-A.

Explanation:

A scientific experiment contains two types of groups: the control and the experimental groups. The control group in any scientific experiment is the sample which does not receive the variable we need to test which is provided in the experimental groups.

In the given question, the scientist wanted to study the effect of fertilizers on the growth of the grass. so the parameter (variable) to be studied is fertilizer. The experimental samples are provided with different concentration of the fertilizer but the control sample will not receive the fertilizers as the control sample provides the base or reference to the experimental group to increase the accuracy of the results obtained.

Thus, option-A is the correct answer.

The particle accelerator with a circular path that smashes together particles to make new atoms and particles is called a
Question 28 options:
synchrotron.
mass spectrometer.
cyclotron.
linear particle accelerator.

Answers

Answer:

linear particle accelerator

Pema want to do an activity with hydrochloric acid and lime water (bae). Mot acid and bae can damage human kin. Which tep mut he follow during the activity to enure afety?

Answers

When the hydrochloric acid react with the lime water then the product is formed by the reaction is calcium chloride.

The reaction of the hydrochloric acid with the reaction of the lime reaction is given as :

Ca(OH)₂   +      HCl    ---->      CaCl₂   +   H₂O

lime water     hydrochloric    calcium      water

                         acid             chloride

the safety taken during the reaction of acid and bases are :

wear the acid and bases resistant gloves , while handling the acid and base.wear the face shield, while working.wear the apron and the disposable gown, if you are working with the large amount the volume of acid and base.wash your hand properly.

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when the concentration of a and b were 0.023 m and 0.054 m, the reaction rate was 8.31x10-2 m/sec, calculate the value for k (with units).

Answers

The reaction takes place in third order. The rate constant of the reaction for the given rate and concentrations is 1.23 × 10³ mol⁻² L² /s.

What is reaction rate?

The rate of a reaction is the rate of increase in the concentration of products or rate of decrease in the concentration of the reactants.

For the given reaction, the rate law is written as:

rate = k[A][B]²

[A] = 0.023

[B] = 0.054

rate = 8.31 ×10⁻² M/s

Rate constant k = rate/[A] [B]²

K = 8.31 ×10⁻² M/s/(0.023 × 0.054²)

  = 1.23 × 10³ mol⁻² L² /s

Therefore, the rate constant for the reaction is 1.23 × 10³ mol⁻² L² /s.

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Your question is incomplete. But your complete question probably was:

The rate of a reaction is, Rate = k[A][B]2.when the concentration of a and b were 0.023 m and 0.054 m, the reaction rate was 8.31x10-2 m/sec, calculate the value for k (with units).

How many grams of CO would be
required to generate 635 g CO2?
Fe2O3 + 3CO → 2Fe + 3CO2
CO: 28.01 g/mol
CO2: 44.01 g/mol
[?] g CO₂

Answers

3 moles or 84.03 g of CO produces 3 moles of or 132 g of CO₂. Thus, the mass of CO required to produce 635 g of CO₂ is 404.23 g.

What is carbon monoxide?

Carbon monoxide  is an inorganic gas produced from the covalent bonding  of carbon with oxygen. When carbon monoxide reacts with metal oxides it produces carbon dioxide.

From the given balanced reaction, 3 moles of CO produces 3 moles of CO₂.

Molar mass of CO = 28.01 g/mol, 3 moles =  (28.01 ×3) 84.03 g

molar mass of CO₂ = 44.01 g/mol , 3 moles = 132 g.

Thus, mass of CO required to produce 635 g of CO₂ is :

= (84.03 × 635 g) /132 g = 404.23 g.

Therefore, the mass of CO required to produce 635 g of CO₂ is 404.23 g.

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Describe the unique properties of water and how they affect the following:
phase changes
physical properties

This is my answer. Is it ok? Do you have suggestions to make it better?
Unique properties of water are polarity, solvency, cohesion, adhesion, high boiling point, density and the ability to dissolve other substances. The three phases of water are solid (frozen), liquid and gas and are changed by temperature. Water molecules don't change between the phases, the molecules just interact differently to make the change.

Answers

Unique properties of water

Water molecules have a bent overall structure, partial positive charges on the hydrogens, partial negative charges on the oxygen, and are polar. This is due to the fact that oxygen is more electronegative than hydrogen, making it more effective at drawing electrons. Excellent solvents include water.

Temperature alters the three states of water, which are solid (frozen), liquid, and gas. Although the interactions of the water molecules change, the molecules themselves do not alter between the phases.

Water quality's physical characteristics

Color: Polluted water may be coloured; pure water is colourless.

Turbidity: Clear, light-unabsorbing water is the opposite of pure water.

Taste and odour: Pure water never has a taste or an odour.

How many distinct characteristics does water have?

Given their polar nature, water molecules form hydrogen bonds. This gives water its distinctive properties, including polarity, solvency, cohesion, adhesion, high specific heat, and the capacity to act as a buffer. A solute that has dissolved in a solvent creates a homogeneous mixture known as a solution.

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two basketballs are sitting 1 m apart and are not moving which best explains why the gravitational force does not cause them to move

Answers

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

How much heat, in joules, does it take to raise the temperature of 225. 0 g of water from 25. 0°c to 100. 0°c ?.

Answers

10.5 kJ is required to convert the temperature of water.

What is Temperature?

Temperature is a unit used to describe hotness or coldness. It can be stated in terms of any number of arbitrary scales and shows the direction in which heat energy will naturally flow, i.e., from a hotter body to a colder body (one at a lower temperature). Temperature is not the same as the energy of a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match.

As opposed to extensive characteristics, like mass or volume, temperature is referred to as an intense property—one that is independent of the quantity of matter being considered—along with pressure, density, and other comparable properties.

q=m⋅c⋅ΔT, where

q - heat absorbed

m- the mass of the sample

c- the specific heat of the substance

ΔT - the change in temperature, defined as final temperature minus initial temperature

q=100.0g⋅4.18Jg∘C⋅(50.0−25.0)∘C

q= 10.5 kJ

10.5 kJ is required to convert the temperature of water.

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