A sample of a metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm. What is the density of the sample?

Answers

Answer 1

If a  sample of metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm, then the density of the sample of the metal would be 11.36 grams / centimeter³.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body.

ρ = mass / volume

As given in the problem sample of metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm.

The density of the metal  = 2272 / (5 × 5× 8)

                                         = 11.36 gram / cm³

Thus, the density of the metal would be 11.36 grams / cm³.

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Related Questions

Summarize the process of anabolism.

Answers

The process of anabolism is a metabolic pathway in which one or more molecules are used to synthesize more complex compounds.

What is anabolism?

Anabolism refers to the chemical metabolic reactions that occur in biological systems which are aimed at generating complex molecules from simpler ones. This process is different from catabolism, which involves the release of energy to be used in the anabolic process.

Therefore, with this data, we can see that anabolism refers to the generation of complex molecules in biological systems by using the energy generated by catabolic reactions in the body.

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If an object that weighs 50 N displaces a volume of water that weighs 10 N,what is the buoyant force on the object?

Answers

10 N

Buoyant force is equal to the weight of the displaced fluid; acting in the upward direction.

Answer:We know that when a body is fully or partially submerged in a fluid,its weight is decreased and that amount of decrease is equals to the weight of the fluid displaced by it.

So,this apparent reduction of weight is due to the buoyancy force acting,which is equals to the weight of the fluid displaced by the body.

So,here the buoyancy force acting on the object is

10

N

Explanation:

​Enzyme A is currently functioning at a temperature of 55 and a pH of 7. According to the information provided in the chart, select all factors that would increase the rate of function of enzyme A?
A
Increase the temperature to 70∘^{\circ}
B
Increase the pH with the addition of a base
C
Decrease the temperature to 40∘C
D
Decrease the pH with the addition of an acid

Answers

The factor that will increase the rate of the function of the enzyme A is increasing the temperature to 70°C (option A).

What is an enzyme?

Enzymes are biological catalysts meaning that they regulate the rate of biochemical reactions in living cells.

Enzymes lower the activation energy of a reaction, which is the required amount of energy needed for a reaction to occur. Enzymes do this by binding to a substrate and holding it in a way that allows the reaction to happen more efficiently.

The factors that affect the rate of function of na enzyme are as follows:

TemperaturepHSubstrate concentrationEnzyme concentration

Each enzyme has an optimum pH range. This means that changing the pH outside of this range will slow enzyme activity, however, raising temperature generally speeds up a reaction, and lowering temperature slows down a reaction.

Therefore, the increase of temperature will increase the rate of function of the enzyme A.

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Why do you think that we used the metal salts (solutions) instead of the pure metals?

Answers

Answer:

the metal salts are more stable and less reactive than the pure metals

Explanation:

hope this helps

79.853 ml of 4.988 m sodium fluoride (aq) is added to 23.760 ml of 1.471 m beryllium sulfate. after the reaction is complete, what is the mass of precipitate that has formed?

Answers

Using the balanced reaction equation, we can calculate that the mass of the precipitate will be 1.617 g.

To solve this question, we need to write the balanced reaction equation first:

2 NaF(aq) + BeSO₄(aq) → Na₂SO₄(aq) + BeF₂(s)

We can now see that the precipitate will be beryllium fluoride. We can also see that 1 mol of beryllium sulfate reacts with 2 moles of sodium fluoride. Now we can calculate the number of moles (n) of both reactants using their molarities (c) and volumes (V):

c = n/V ⇒ n = c * V

n(NaF) = c(NaF) * V(NaF)

n(NaF) = 4.988 M * 79.854 mL = 0.3983 mol

n(BeSO₄) = c(BeSO₄) * V(BeSO₄)

n(BeSO₄) = 1.471 M * 23.3760 mL

n(BeSO₄) = 0.03439 mol

We can see that n(NaF) is more than 2 times greater than n(BeSO₄), so NaF is in excess, and BeSO₄ is the limiting reactant. Now we can calculate the number of moles of BeF₂ formed:

1 mol BeSO₄ : 1 mol BeF₂ = 0.03439 mol BeSO₄ : X

X = 0.03439 mol BeF₂

We can now convert the number of moles (n = 0.03439 mol) of BeF₂ into mass (m), using the molar mass of BeF₂ (M = 47.01 g/mol):

n = m/M ⇒ m = n * M

m = 0.03439 mol * 47.01 g/mol

m = 1.617 g

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Calculate the mass of water of hydration lost and the mass of dehydrated salt remaining (CuSO4(s)).

Answers

According to the concept of molar mass, mass of water of hydration lost is 90 g/mole and mass of dehydrated salt is 159.68 g/mole as the mass of copper sulfate pentahydrate is 249.68 g/mole.

What is molar mass?

Molar mass of a compound or a molecule is defined as the mass of the elements which are present in it.The molar mass is considered to be a bulk quantity not a molecular quantity. It is often an average of the of the masses at many instances.

The molecular mass and formula mass are used as synonym for the molar mass.It does not depend on the amount of substance which is present in the sample.It has units of gram/mole.

Molar masses of an element are given as relative atomic masses while that of compounds is the sum of relative atomic masses which are present in the compound.

Copper sulfate along with water of hydration has mass of 249.68 g/mole.On heating , the mass of water of hydration lost =90 g/mole

∴mass of dehydrated salt=249.68-90=159.68 g/mole.

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11. How is the atomic emission spectrum of an element produced?

Answers

Answer:

Atomic emission spectra are produced when excited electrons return to the ground state. When electrons return to a lower energy level, they emit energy in the form of light.

Explanation:

how America can best accelerate its transition to renewable energy​
500-1000 words essay

Answers

America can best accelerate its transition to renewable energy by :

The effort to eliminate carbon emissions on a net basis by 2050 will accelerate innovation and create the largest reallocation of capital.Rising geopolitical tensions have targeted the focus of industries on energy security, reliability and sustainability.Companies and governments are facing pressures to provide more oil and gas supply along with accelerating the energy transition.Renewable digital technologies are emerging with a game-changing take on artificial intelligence, machine learning and automation.Need to accelerate the transition of national net-zero energy ecosystems.Transformation on this scale will require a combination of vision, imagination for companies and investors to achieve their decarbonization ambitions.  

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a sample of a material has 20002000 radioactive particles in it today. your grandfather measured 40004000 radioactive particles in it 6060 years ago. how many radioactive particles will the sample have 60 years60 years from today?

Answers

The remaining mass of radioactive elements with 60 years of half-life is 1000 particles.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 60 years

No = 2000 particles

t = 60 years

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = 2000 x (1 / 2)^(60 / 60)

N = 1000 particles

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what is the purpose of using the Bohr model? what does this model shows . ?


i need helppp bro

Answers

Answer:

The purpose of a Bohr model is to show the atom(s) as a central nucleus; containing protons and neutrons with the electrons in circular orbitals at specific distances from the nucleus.







Explanation:

Have a great rest of your day
The one and only,
-Mr. Universe

In 1913 Bohr proposed his model of the atom , it's purpose was to explain how electrons can have stable orbits around the nucleus. It shows electrons orbiting the nucleus of an atom -He found that electrons farther away from the nucleus have more energy, meaning the electrons that are closer to the nucleus have less energy.

For example...(shows  Bromine )

(you can give that gentleman up top brainliest)

Beryllium, the first element in group 2, has an atomic number of 4. The second element in this group has an atomic number of?.

Answers

Answer:

I think 11 yeah.. try that

Explanation:

A chemical reaction combines the metal sodium (NA) and the gas chlorine (cl2) to form sodium chloride, commonly known as table salt (nacl) why does this produce have different properties from the reactants

Answers

When a chemical reaction happens, the atoms in the reactants are rearranged to create compounds with various chemical characteristics. Although identical atoms are present in both the reactants and the products, sodium chloride was produced by rearranging the atoms in the reactants. The reactants lacked sodium chloride.

Sodium is a soft, silver-colored metal that may be sliced with a knife. With water, pure sodium metal reacts violently (and even explosively), creating sodium hydroxide, hydrogen gas, and heat.

2Na(s)  +  2H₂O(l)  ⟶  2NaOH(aq)  +  H₂(g)

Chlorine is a poisonous yellow-green gas with a pungent smell.

But when sodium and chlorine combine, they create sodium chloride, or table salt, which is known to practically everyone in the world.

2Na(s)  +  Cl₂(g)  ⟶  2NaCl(s)

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christian has a mass of 5 kg. he is running across the room accelerating at a rate of 10 m/s2. what is his force?

Answers

The force required to move a body with a mass of 5kg and accelerating at 10m/s² is 50 Newtons.

What is the force of Christian?

A force is simply a push or pull of a body resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

Mass m = 5kgAcceleration a = 10m/s²Force F = ?

Plug the given values into the equation above and solve for F.

F = m × a

F = 5kg × 10m/s²

F = 50kgm/s²

F = 50N

Therefore, the force of Christian is 50 Newtons.

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The force required to move the body with the mass of 5 kg with acceleration of 10 m/s² is 50 Newtons.

What is force?

Force is defined as a push or pull exerted on an object as a result of the interaction of the object with another object.

It can also be defined as an external factor that, when used, alters or has the potential to alter the state of the body.

Force can be expressed as

Force = mass x acceleration

Given, Mass = 5 kg

Acceleration = 10 m/s²

So, F = m x a

F = 5 kg x 10 m/s²

F = 50 kgm/s²

F = 50 Newtons

Thus, the force required to move the body with the mass of 5 kg with acceleration of 10 m/s² is 50 Newtons.

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Name the two molecular compounds you think would have the same mass.

Answers

The oxides of 'C' and 'N' are the two molecular compounds having the same mass i.e. CO₂ and N₂O.

To calculate the molecular weight of a molecule, individual atomic masses of various elements are added.

Given: The atomic mass of 'C' = 12u

          The atomic mass of 'N' = 14u

          The atomic mass of 'O' = 16u

∵Molecular weight of CO₂ = 12+16+16 = 44g/mol

The molecular weight of Carbon Dioxide is 44g/mol.

∵Molecular weight of N₂O = 14+14+16 = 44g/mol

The molecular weight of Nitrous Oxide is 44g/mol.

Molecular compounds having the same mass are known as Isobars. Isobaric properties are:

Same physical behaviorDifferent chemical behavior

e.g.: Ar and Ca

Cobalt metal and copper ions

Answers

a. The metal known as cobalt forms cobalt III oxide and cobalt II oxide when it react with oxygen.

b. The ionic charge on the metallic copper is +2

How cobalt III oxide is formed

When cobalt II oxide reacts with oxygen, it results in the formation of cobalt III oxide.

The balanced chemical equation is given below.

4CoO + O₂ → 2Co2O₃

The ion on metallic is plus 2 charge, it is on this premise that the ionic charge on the metallic copper is confirmed as +2.

So therefore, when cobalt is combines with air, it forms a binary compound known as cobalt II oxide and tricobalt tetroxide.

O₂

Complete question:

a. What compounds does cobalt metal forms?

b. What is the charge on copper ion?

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Write four components of a modern detergent and the uses of the components

Answers

The four main components of a modern detergent are builders (50% by weight), surfactants (15%), bleach (7%), and enzymes (2%).

What is the use of the components in the detergent?

A detergent can be described as a surfactant or a mixture of surfactants with cleansing properties in dilute solutions. These substances are similar to soap but are more soluble in hard water due to the polar sulfonate is less likely than the polar carboxylate of soap to bind ions in hard water.

Builders are water softeners and their anions react with cations to form insoluble compounds which precipitate onto fabrics and washing machines and which are hard to remove.

Surfactants provide absorption and emulsification of soil into the water and also by reducing the surface tension of water to improve wetting.  The main function of bleaches is oxidizable organic stains, which are usually of vegetable origin.

Enzymes are needed to degrade stubborn stains composed of proteins, fats, starch, and cellulose.

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Specify the particular process(es) that would be altered, and EXPLAIN how this/these process(es) would be altered. (Hydrologic Cycle)

Answers

The hydrologic cycle to be altered because of global warming due to increasing green house effect.

What is global warming?

Global warming is the term used to describe the phenomena of a gradual increase in temperature close to the earth's surface. This trend has been noticed during the past century or so. This change has affected the pattern of the earth's climate. Scientists have offered proof that the earth's temperature is gradually rising, even if the concept of global warming is still up for debate.

Global warming has a number of causes that are harmful to people, plants, and animals.

What is Green house effect?

A glass-enclosed structure called a greenhouse is used to grow plants. The sun's beams warm the greenhouse's air and plants. The greenhouse must be warmed in order for the plants to flourish because the heat that is trapped inside is unable to escape. The earth's atmosphere is identical.

The greenhouse gases in the earth's atmosphere absorb the heat throughout this process. Because of this, the earth's surface becomes warmer, which enables life to exist on the planet.

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True or false? First nations people along the west coast of british columbia used smelting technology to create copper plaques

Answers

First nations people along the west coast of British Columbia used smelting technology to create copper plaques is false.

Smelting process is the form of extractive metallurgy to produce a metal from its ore. it is the process of melting and separation of charges .  it is extensive energy process. Plaques are made by pouring molten metal in to a mold. and when it gets cools , it solidified into a copper solid plaque. first nation people use copper as hunting weapons, spear tools etc. copper is metal.

Thus, First nations people along the west coast of British Columbia used smelting technology to create copper plaques is false.

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How does one periodic trend connect a racial trend in American Society? Why is it important to understand racial trends in American Society?

Answers

A periodic trend connect a racial trend in American Society ad it affect the distribution of power, wealth, opportunity, and create enduring social stratifications.

It is important to understand racial trends in American Society as it helps in understanding the society better.

How to illustrate the information?

A trend is a shift or progression toward something new or different. Global migration is one of the most significant developments nowadays.

Today, 244 million individuals live in nations other than their native countries, which is three times the number in 1960. The world's migrant population would be the sixth largest country.

It should be noted that among the issue of racial trend is also the issue of black lives matter. This is important in order to end discrimination and also enhance the development in the country.

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How many molecules of sucrose are
in 205 g C12H22011?
(C12H22O11, 342.34 g/mol)
[?]
[? ]×10¹²] molecules C12H22O11
Coefficient (green) Exponent (yellow)
I
Enter

Answers

To begin with, sucrose is C12H22O11. Additionally, we must determine how many moles of sucrose there are in a pound of sucrose:

The moles of sucrose are 454g, 342.30g, mol1, and 1.33mol.

Is sucrose a good sugar to use?

Brief Summary According to a University of California, Davis study that was published in the Journal of Clinical Endocrinology and Metabolism, sucrose, the more "natural form of sugar," may be just as harmful to your health as HFCS.

Is sugar a healthy food?

Your body only receives sugar when you consume sucrose like soda or candy, and typically too much of it. The threat is present here. You run the risk of major health problems if you consume too much added sugar (fructose or sucrose) in your diet.

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element x has two naturally occurring isotopes. if 72% of the atoms have a mass of 85 amu and 28% of the atoms have a mass of 87 amu, what is the atomic mass of element x?

Answers

The atomic mass of element x is 85.56 amu if 72% of the atoms have a mass of 85 amu and 28% of the atoms have a mass of 87 amu

The atomic mass of an element can be determined by first multiplying the percentage of its isotopes by their atomic mass and then adding the resultants together.

As 72% of the atoms have a mass of 85 amu and 28% have a mass of 87 amu, therefore

atomic mass of element x = (72% × 85) + (28% × 87)

atomic mass of element x = (72/100 × 85) + (28/100 × 87)

atomic mass of element x = (0.72 × 85) + (0.28 × 87)

atomic mass of element x = 61.2 + 24.36

atomic mass of element x = 85.56 amu

Therefore the atomic mass of element x is calculated to be 85.56 amu.

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A sample consists of ethanol and water.
Ethanol has a density of 0.79 g/mL.
Which liquid will float on top of the sample
- the ethanol or the water?

Answers

Density of water is 1g/cc whereas ethanol is 0.79g/cc

So density of ethanol is less than water hence ethanol will float on water

What is density ?

density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimeter are a typical unit of measurement for density. For instance, while Earth has a density of 5.51 grammes per cubic centimeter, water has a density of 1 grammes per cubic centimeter. Another way to state density is in kilograms per cubic meter (in meter-kilogram-second or SI units)

Density of water is 1g/cc whereas ethanol is 0.79g/cc

So density of ethanol is less than water hence ethanol will float on water

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if i have an unknown quantity of CI2 at a pressure of 1.2 atm, a volume of 31 liters and a temperature of 87C, how many moles of CI2 do i have

Answers

Answer:

I think 1.3 moles correct me if I'm wrong

Explanation:

XY + Z→ XZ + Y is an example of a

Answers

XY + Z→ XZ + Y is an example of a substitution reaction. A substitution reaction involves the exchange of one atom for another.

Why is a substitution reaction?A substitution reaction involves the exchange of one atom for another. These are extremely useful reactions in the chemical industry because they allow chemists to transform one compound into something more useful, allowing them to construct designer molecules such as drugs.Substitution reactions are classified into two types: nucleophilic reactions and electrophilic reactions. The primary distinction between these two reactions is the type of atom that is attached to the original molecule.The combination of two or more atoms or molecules to form a large molecule is known as an addition reaction. A substitution reaction is one in which an atom or group of atoms is replaced by another atom or group of atoms.

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Please read the following direction I need it ASAP!!!

HIghschool Earth & Physical Science (9th Grade)

Answers

The correct answer about Liquids A and B is:

Liquid B has a lower boiling point because more water evaporated, therefore the interactions between the particles in Liquid B are weaker than the interactions in Liquid A; option D

What is the boiling point of a liquid?

The boiling point of a liquid is the temperature at which the molecules of the liquid change phase from liquid to gas.

At the boiling point of a liquid, the molecules of the liquid acquire enough energy to break free of the intermolecular forces between the molecules.

The lower the boiling point of a liquid, the lesser the strength of the intermolecular forces between the molecules,

Hence liquids with lower boiling points evaporate faster.

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Select all the correct answers. what are three reasons why nebulae contribute more to stellar formation than other regions of the universe? they are rich in hydrogen and helium. they have an unlimited supply of hydrogen. they are far away from black holes. they are dense and hot. they have a strong gravitational pull.

Answers

Answer:

1 ) They are wealthy in gases hydrogen and helium. 2 ) They are very hot and dense . 3 ) They have a solid gravitational pull.

Explanation:

Space where huge size of gaseous and dust cloud is present is called nebula. It is mainly made of hydrogen and helium. Nebula exist in the space which is between the stars and it is call as interstellar space.

Helix nebula is closest nebula which is near the earth. It’s distance from earth is about 700 light years.

Dark nebulae are very dense as well as cold. Nebula can be divided into dark nebula and bright nebula. The gas which is present between the stars is always combine with solid grains cosmic dust.

Nebulae contribute more to stellar creation than other areas of the universe for the following three reasons:

They are abundant in helium and hydrogen.They are hot and thick.They are highly gravitationally drawn.

So, the correct options are A, D and E.

What is Nebulae?

Huge clouds of gas and dust known as nebulae are found in space and are made up of heavier elements in the form of dust particles as well as ionized gases like hydrogen and helium.

Because the gases and dust within them have the potential to collapse under the influence of gravity and form new celestial objects, they are frequently the birthplace of stars and planetary systems. They are rich in hydrogen and helium. They have a strong gravitational pull and are hot and dense.

Hence, the correct options are A, D and E.

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Select all the correct answers. what are three reasons why nebulae contribute more to stellar formation than other regions of the universe?

they are rich in hydrogen and helium. they have an unlimited supply of hydrogen. they are far away from black holes. they are dense and hot. they have a strong gravitational pull.

A scientist placed a sample of lithium into a container of water. The scientist observed the lithium floating and making a buzzing sound as gas bubbles were forming around it. Smoke and steam were released as well. Which conclusion is BEST supported by this observation?

A.
Water was vaporized.

B.
Dissolved gases were released.

C.
A chemical change took place.

D.
The lithium was dissolved by the water.

Answers

Answer:

Explanation:Again, this is an example of a physical change. Figure 3.6. 1: Ice melting is a physical change. When liquid water (H2O) freezes into a solid state (ice), it appears changed; however, this change is only physical, as the composition of the constituent molecules is the same: 11.19% hydrogen and 88.81% oxygen by mass.03-Sept-2019

Consider a 3-atom molecule a-b-a for which b has a total of only two valence electrons. If you assume that b is a group ii metal, what is the bond angle for a-b-a? please answer in degrees to the nearest whole number.

Answers

Consider a 3-atom molecule a-b-a for which b has a total of only two valence electrons if you assume that b is a group ii metal, then the bond angle for a-b-a is 180 degree

Valence electron is the s and p electron in the outermost shell and electron present in the inner shell are core electron and according to the valence shell electron pair repulsion theory and we that bond angle that an atom has with its neighbor which also called dihedral angle a group II metal has two valence electron there it can form only single bond then b will not have any lone pair and the ones digit in the group number is the number of valence electron and 180 degree bond angle means the atom are connected in straight line called 180 degree bond

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Look at the diagram below. Which part, A-C, correctly shows the electronic structure of a sodium ion?

Answers

The correct diagram is C as it is the correct electronic configuration for Sodium ion

What is electronic configuration ?

The description of the positions of the electrons around a nucleus is called an electron configuration. As we previously discovered, every neutral atom contains an equal number of protons and electrons. Now, we'll arrange those electrons such that they stand around the nucleus in a way that shows their energy and the nature of the orbital in which they are housed.

Na ( Sodium )

Atomic Number - 11

Electronic Configuration : 2,8,1

Na+ ( Sodium ion)

Electronic Configuration : 2,8

The correct diagram is C as it is the correct electronic configuration for Sodium ion

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a sample of br2(g) takes 46.0 min to effuse through a membrane. how long would it take the same number of moles of ar(g) to effuse through the same membrane?

Answers

From the equation of Graham's law of diffusion of gases, it would take the same number of moles of Ar(g) 23 minutes to effuse through the same membrane.

What factors affect the rate of diffusion of gases?

The rate of diffusion or effusion of gases is affected by temperature, concentration, pressure, and the molecular weight of the gas.

The gas law that describes how the molecular weight or vapor density of a gas affects the rate of diffusion is Graham's law of diffusion of gases.

Mathematically, Graha's law of diffusion of gases is given below as follows:

R₁ / R₂ = √(M₂ / M₁) or T₁ / T₂ = √(M₁ / M₂)

where;

R₁ is the rate of diffusion of gas 1

T₁ is the time of diffusion of gas 1

M₁ is the molecular weight of gas 1

R₂ is the rate of diffusion of gas 2

T₂ is the time of diffusion of gas 2

M₂ is the molecular weight of gas 2

Substituting the values in the second equation:

The molecular weight of Br₂ = 160 g/mol

The molecular weight of Ar = 40 g/mol

46 / T₂ = √(160 / 40)

T₂= 46 / 2

T₂ = 23 mins

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If the dimensions of the garden plus the walkway are 18 yards by 26 yards, find the dimensions of the garden.***NOTE*** This is a Quadratic Word Problem, so please use the Quadratic Method when solving and show all steps!! write each decimal in word form 302.78 and 15.023 _____ elements may not be equally distributed; however, they can still promote some form of equilibrium by placing numerous small items on one side of the page and just a few large objects on the other side.SymmetricalEmphasizedContrastingAsymmetrical HURRY IM TIMED the prophet who promoted a syncretic blend of zoroastrian, christian, and buddhist elements into a religious faith that would serve the needs of a cosmopolitan world was in the sophomore class at Summit High School the number of students taking French is 2/3 of the number taking Spanish. how many students are studying each language if the total number of students in French and Spanish is 310 ?This is Homework Solve the system by substitution:y=-6x-77x+y=-3(__ , __) what is a type of energy that powers a cell phone? Today's previewYou can solve this by rearranging to create asituation to use the method from the previouslesson, or you can solve this by thinking a littledifferently about how the variables below mightalso be described.... so solve it.y = 2x + 4x + y = 7 In the book passing chapter 3 part 2 in Clare behavior to risky? Read the excerpt from The Odyssey.At this he gave a mighty sob and rumbled:'Now comes the weird upon me, spoken of old.A wizard, grand and wondrous, lived hereTelemus,a son of Euryinus; great length of dayshe had in wizardry among the Cyclopes,and these things he foretold for time to come:my great eye lost, and at Odysseus' hands.Always I had in mind some giant, armedin giant force, would come against me here.But this, but yousmall, pitiful and twiggyyou put me down with wine, you blinded me.Come back, Odysseus, and I'll treat you well,praying the god of earthquake to befriend youhis son I am, for he by his avowalfathered me, and if he will, he mayheal me of this black woundhe and no otherof all the happy gods or mortal men.Why does the Cyclops invite Odysseus back to the island?He realizes that Odysseus was destined to take his eye.He wants to obey the Greek custom of providing food and shelter to guests.He fears far more harm will come to him if does not befriend Odysseus.He wants to take revenge on Odysseus. 2(1 5x) = 4 4(-2x) Solve the equation for y in terms of x. After that, replace y & solve with function notation f(x). Once you solve that, find f(4).y+3x^2=4f(x)=____f(4)=____ Rule for Input/output table Input values: 1, 2, 3, 4, n Output values: -4,-2,0,2 what is the momentum of an 7.2- kg bowling ball rolling at 3.0 m/sm/s ? express your answer to two significant figures and include the appropriate units. Which two sentences in the excerpt suggest that Policles loved quality music?The Contestby Arthur Conan Doyle (adapted excerpt)The blue-clad player struck several chords upon his lyre, and then burst suddenly out into the "Ode of Niobe," and Policles sat straight up on his bench and gazed at the stage in amazement. The tune demanded a rapid transition from a low note to a high, and had been purposely chosen for this reason. The low note was a grunting, a rumble, the deep discordant growling of an ill-conditioned dog. Then suddenly the singer threw up his face, straightened his figure, rose upon his tiptoes, and with wagging head and scarlet cheeks emitted a howl. All the while the lyre twanged and thrummed, sometimes in front of and sometimes behind the voice of the singer. But what amazed Policles most of all was the effect of this performance upon the audience. Every Greek was a trained critic, and as unsparing in his hisses as he was lavish in his applause. Many a singer far better than this absurd fop had been driven from the platform, but now, as the man stopped and wiped the abundant sweat from his face, the whole assembly burst into a delirium of appreciation. The shepherd held his hands to his bursting head and felt that his reason must be leaving him, for it was surely a dreadful musical nightmare, and he would wake soon and laugh at the remembrance. But no, the figures were real, the faces were those of his neighbours, and the cheers which resounded in his ears were indeed from an audience which filled the theatre of Olympia. The whole chorus was in full blast, the hummers humming, the shouters bellowing, the tappers hard at work upon the benches, while every now and then came a musical cyclone of "Incomparable! Divine!" from the trained phalanx who intoned their applause, their united voices sweeping over the tumult as the drone of the wind dominates the roar of the sea. It was madnessinsufferable madness! If this were allowed to pass, there was an end of all musical justice in Greece. Policles' conscience would not permit him to be still. Standing upon his bench with waving hands and up-raised voice, he protested with all the strength of his lungs against the mad judgment of the audience. Evaluate each expression using the values given in the table.