If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled, by what factor will the volume of the gas change?.

Answers

Answer 1

Answer:

Four on three

Explanation:

We so therefore the volume of gas change by a factor of four on three. So the correct option is option d. That is four x 3 is the right answer.


Related Questions

If 50.0 g of silicon dioxide (SiO2) is heated with 40 g of carbon, 27.9 g of silicon carbide is produced in chemistry lab according to the following balanced equation: SiO2(s) + 3C(s) = SiC(s) + 2CO(g) What is the percent yield of this reaction?

Answers

Taking into account definition of percent yield, the percent yield of the reaction is 62.78%.

Reaction stoichiometry

In first place, the balanced reaction is:

SiO₂(s) + 3 C(s) = SiC(s) + 2 CO(g)

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

SiO₂: 1 moleC: 3 molesSiC: 1 mole CO: 2 moles

The molar mass of the compounds is:

SiO₂: 44 g/moleC: 12 g/moleSiC: 40 g/moleCO: 28 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

SiO₂: 1 moles ×44 g/mole= 44 gramsC: 3 moles ×12 g/mole= 36 gramsSiC: 1 mole ×40 g/mole= 40 gramsCO: 2 moles ×28 g/mole= 56 grams

Limiting reagent

The limiting reagent is one that is consumed first in its entirety, determining the amount of product in the reaction.

Limiting reagent in this case

To determine the limiting reagent, it is possible to use a simple rule of three as follows: if by stoichiometry 44 grams of SiO₂ reacts with 36 grams of C, 50 grams of SiO₂ reacts with how much mass of C?

mass of C= (50 grams of SiO₂×36 grams of C)÷ 44 grams of SiO₂

mass of C= 40.91 grams

But 40.91 grams of C are not available, 40 grams are available. Since you have less mass than you need to react with 50 grams of SiO₂, C will be the limiting reagent.

Percent yield

The percent yield is the ratio of the actual return to the theoretical return expressed as a percentage.

The percent yield is calculated as the experimental yield divided by the theoretical yield multiplied by 100%:

percent yield= (actual yield÷ theoretical yield)× 100%

where the theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.

Theoretical mass of SiC

Considering the limiting reagent, the following rule of three can be applied: if by reaction stoichiometry 36 grams of C form 40 grams of SiC, 40 grams of C form how much mass of SiC?

mass of SiC= (40 grams of C×40 grams of SiC) ÷36 grams of C

mass of SiC= 44.44 grams

The theoretical yield of SiC is 44.44 grams.

Percent yield for the reaction in this case

In this case, you know:

actual yield= 27.9 gramstheorical yield= 44.44 grams

Replacing in the definition of percent yield:

percent yield= (27.9 grams÷ 44.44 grams)× 100%

Solving:

percent yield= 62.78%

Finally, the percent yield is 62.78%.

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was the experimental mole ratio exactly the same as the theoretical mole ratio? if not, give some possible reasons.

Answers

No, the experimental mole ratio is exactly the same as the theoretical mole ratio.

A mole ratio is a ratio among the amounts in moles of any compounds worried in a balanced chemical reaction. The stability chemical equation affords a comparison of the ratios of the molecules necessary to finish the response.

The mole ratio is the proportion of the theoretical mole ratio, of moles of any two chemical entities concerned in a compound or a chemical reaction. studying the mole ratio is crucial to calculate the reaction yield, determining the stoichiometry, and screening the response kinetics.

The ratio of moles of 1 substance to the moles of another substance in a balanced equation. To decide the mole ratio between  materials, all you want to do is examine the balanced equation for the coefficients in the front of the materials you are interested in

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Which of the following were goals of Reconstruction? Check all of the boxes that apply. to reincorporate the South into the Unionto create a segregated society in the Southto establish equality under law for African Americansto assist African Americans in the transition from slavery to freedom

Answers

The following were the goals of reconstruction is to reincorporate the south into the union, to establish the equality under law for African Americans, and to assist the African Americans in the transition from slavery to freedom.

In the reconstruction the period includes civil war and the southern states defeated confederation. reconstruction was basically period of political crisis . The major drawback is that the African American never be equal on economic equality with the whites.

Thus, The following were the goals of reconstruction is to reincorporate the south into the union, to establish the equality under law for African Americans, and to assist the African Americans in the transition from slavery to freedom.

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heat is . heat is . the capacity to do work the result of a force acting through a distance the flow of energy caused by a chemical reaction a chemical reaction the flow of energy caused by a temperature difference

Answers

Heat is the flow of energy caused by a temperature difference

Heat is the energy that is transferred from one body to another as the result of a difference in temprature and if two bodies at different temprature are brought together energy is transferred that is heat flow from the hotter body to the colder and heat is the transfer of thermal energy caused by a differences in temprature and this temprature difference  is also called a temprature gradient and since heat is a movement of energy and it is measured in the same unit as energy in the joules

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What mass of calcium hydroxide is formed when 10g of calcium oxide reacts with 10g of water.

Answers

Mass of calcium hydroxide is formed when 10g of calcium oxide reacts with 10g of water is 13.024 gram

Mass is a measure of the amount of matter in a substance or an object.

Here given data is

Calcium oxide =  10g

Water = 10g

We have to calculate mass of calcium hydroxide = ?

The reaction is

CaO + H₂O → Ca(OH)₂

1 mole of CaO reacted with 1 mole of H₂O to form 1 mole of Ca(OH)₂

Moles = mass/molar mass

Mole of CaO = 10g/56g/mol = 0.179 mole

Mole of H₂O = 10g/18g/mol = 0.556 mole

CaO is the limiting reagent therefore by using of mole ratio of CaO : Ca(OH)₂ is 1 : 1 mole of Ca(OH)₂ = 0.179 mole

Mass = mole × molar mass

Mass = 0.176 × 74g/mol

Mass = 13.024 gram

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Given the unbalanced equation:
_MnO₂ + _HCI → _MnCl₂ + _H₂O + _Cl₂
When the equation is balanced using the smallest
whole number coefficients, the coefficient of HCI is

Answers

Answer:

4

Explanation:

Having the coefficient 4 in front of HCl and the coefficient 2 in front of H₂O balances out the equation.

three students are asked to discuss why some molecules move further than others do on a chromatogram in the same amount of time. which student employs correct scientific reasoning?

Answers

Student 1 states that the molecules that are larger in size and are more attracted to the solvent will move further along the TLC plate employing the correct specific reasoning.

Why do some substances move further up the TLC plate than others?

Larger molecules take longer to move up the chromatography paper or TLC plate, whereas smaller molecules are more mobile. Likewise, the polarity of the molecules can affect how far the spots travel, depending on the type of solvent used.

What factor determines which molecules travel further in chromatography?

The stronger a compound is bound to the adsorbent, the slower it moves up the TLC plate. Non-polar compounds move up the plate most rapidly (higher Rf value), whereas polar substances travel up the TLC plate slowly or not at all (lower Rf value).

Thus, the molecules larger in size are more attracted to solvent will move further along the TLC plate is the reason why molecules move further than others in a chromatogram. So, student 1 is the correct option.

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A 20.0-gram cube of ice at 0.00°C is dropped into a calorimeter containing 120.
grams of water at 35.0°C. The ice eventually melted, and the water reached an
equilibrium temperature of 18.1°C. Based on this data, what is the heat of fusion, in
joules per gram, of water?

Answers

The heat of fusion for water is 79.7 J/g. This can be determined by using the specific heat capacity of water and solving for the heat of fusion.

What is fusion?
Fusion
is the process of two atoms coming together to form a heavier atom, including when two hydrogen atoms combine to form a single helium atom. The sun is powered by this process, which produces vast amounts of energy—many times more than fission. Additionally, no radioactive fission products are produced. The extreme temperature and pressure needed to fuse the nuclei together are being studied by scientists, but they are difficult to sustain for long periods of time.

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What is the concentration of a 600 mL solution that contains 250 grams of iron (II) chloride?

Answers

The molar concentration of a 600 mL solution that contains 250 grams of iron (II) chloride would be 3.28 M.

What is concentration?

The concentration of a solution is the amount of solute present in the solution relative to the volume of the solution. The concentration of solutions can be expressed in different forms. These include:

Molar concentrationMass concentration

The molar concentration of a solution refers to the number of moles of solutes per liter of the solution. The mass concentration, on the other hand, refers to the mass of solutes in a solution per liter of the solution.

In this case, we want to find the molar concentration of the iron (II) chloride solution.

The molar mass of the compound is 126.75 g/mol.

Recall that: mole = mass/molar mass

Mole of 250 grams iron (II) chloride = 250/126.75

                                                           = 1.97 moles

Volume of the solution = 600 mL

                                       = 600/1000 liter

                                        = 0.60 liter

Molar concentration of the solution = 1.97/0.60

                                                           = 3.28 mol/liter

In other words, the concentration of the solution is 3.28 M.

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how many molecules of oxygen are produced when 43g of h2o decompose

Answers

6.9×10^23 molecules of oxygen are produced when 43g of h2o decompose.

2H20⇆O2+2H2

given mass,H2O=43 g

molar mass H2O=18 g

moles=given mass/molar mass

moles=43/18

moles=2.3 mol

molecules of oxygen= 2.3/2=1.15 mol

molecules of oxygen=1.15 mol×6.022×10^23

molecules of oxygen=6.9×10^23 molecules.

The non-metallic chemical element oxygen is found in Group 16 of the periodic table, generally known as the oxygen group (O). All living creatures require the colorless, tasteless, and odorless gas known as oxygen. When plants use it as a source of carbon and release the oxygen back into the environment, plants utilise the carbon dioxide that animals have taken up and converted it into.

Oxygen may react with almost every other element to form compounds in addition to reactions that remove elements from their combinations with one another. Combustions are the name for these reactions, which are typically accompanied by the creation of heat and light. The most important component is water.

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the lowest-energy distribution of electrons in the sublevels for an atom of a particular element is called the

Answers

The lowest-energy distribution of electrons in the sublevels for an atom of a particular element is called the ground state.

When an atom, molecule, or ion and its electrons are at their lowest potential energy level, they are said to be in the ground state. They are said to be thrilled if their energy level is higher. Excited electrons are those with energies greater than their ground state. When many quantum mechanical states are present at the same energy, these levels are known as degenerate energy levels.

An electron orbit around an atom's nucleus is referred to as an electron shell or energy level in chemistry. This atomic model by Bohr states that the electrons follow a circular path around the nucleus known as an orbit.

The "K shell" is the shell that is closest to the nucleus; it is followed by the "L shell," the "M shell," and so forth as one moves farther from the nucleus. Quantum numbers (n = 1, 2, 3, 4, etc.) or alphabets (K, L, M,...) can be used to represent the shells.

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Throughout history, scientists have been known to copy ideas from their peers. Dmitry Mendeleev was no exception—he arranged all of the elements known at the time according to their atomic masses, just as Johann Döbereiner and John Newlands did before him. However, Mendeleev intentionally left blank spaces in his working version of the periodic table of elements.

Which statement best explains the importance of the blank spaces in Mendeleev’s version of the periodic table of elements?

Answers

The statement which best explains the importance of the blank spaces in Mendeleev’s version of the periodic table of elements is that they predicted the existence of elements that had not yet been discovered.

What is Periodic table?

This is referred to as the tabular arrangement of elements into groups and periods based on their common properties and features. There are 18 groups and seven periods in which elements are grouped under.

Mendeleev intentionally left blank spaces in his working version of the periodic table of elements because he predicted the existence of elements that had not yet been discovered.

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how many grams of solute are needed to order to prepare 100.00 ml of a 0.1000 m solution of a compound with a molecular weight of 350.0 g/mol? report your answer in grams, but do not include units in your answer.

Answers

Molecular Weight - The grams of solute that are needed is 3.5 g.

What is molecular weight?

The mass of the a given molecule is its molecular mass (m), which is expressed in daltons. Because they contain various isotopes of an element, different molecules of same compound can have distinct molecular masses. According to IUPAC, the related quantity comparative molecular weight is a unitless comparison between the mass of a molecule and the truly united atomic mass unit (also called the dalton).

GIVEN:

c =  Molarity = 0.1 M

M = Molar mass = 350 g/mol

V = Volume of solution = 100 mL = 0.1 L

n = Number of moles

m = Mass of solute

C = n/v

n =0.01 moles

M=m/n

m= 3.5g

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Write net ionic equations for the reaction that occurs when aqueous solutions of ammonium sulfate,
(NH4)2SO4, and barium nitrate, Ba(NO3)2 react to form a white precipitate.

Answers

(NH4)2SO4 + Ba(NO3)2 → BaSO4 + 2NH4NO3 is  net ionic balanced equations for the reaction that occurs

To balance chemical equations, stoichiometric coefficients for the reactants and products are required. This is important because a chemical equation must follow the rules of conservation of mass and constant proportions, which dictate that the same number of atoms of each element must be avail on two of the reactant and product sides of the equation.

Chemical equations use the relevant chemical formulae to symbolically express the reactants and products of a chemical process. To the left of the sign "," and to the right of the arrow symbol, respectively, is the part of the chemical equation that is on the reactant side.

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The acceleration of a runner is 12 m/s². The force exerted on the starting
blocks is 700 N. What is the mass of the runner?
10

Answers

Force = mass * acceleration
700 = mass * 12
Mass = 700/12
= 58.33 kg

What mass of glucose (c6h12o6) should be dissolved in 10.0 kg of water to obtain a solution with a freezing point of -4.2 ∘c ?

Answers

The mass of glucose required here is  4068 grams, we get this freezing point depression.

Freezing point depression generally refers to the lowering of the freezing point of solvent upon the addition of solutes.

It is a colligative property of the solutions that is generally proportional to the molality of solute that is added. The depression in the freezing point of a solution can be described by the following formula;

Δ[tex]T_{f}[/tex] = [tex]K_{f}[/tex] × molality × i

4.2[tex]^{o}C[/tex] = 1.86 × m × 1

m = 2.26

molality = moles of solute

                mass of solvent

2.26m = mole of solute

                10.0Kg

mole of solute = 22.6mol

mole of glucose = mass of glucose

                              molar mass

22.6 = mass of glucose  

                180

Mass of glucose = 22.6 × 180

Mass of glucose = 4068 grams

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which of the following relationship is used to calculate one from the other, process capability index, cp and process capability ratio, cr.

Answers

The relationship between process capability index, Cp and process capability ratio, Cr is given as Cp = 1/Cr.

In statistics, process capability index is used to measure the variations or changes that occur in a process.

In general, the it lies between the specification limits which are also held in check while performing the Process capability index.

As we know that different processes has different optimal situations which help us to contrast the processes and also help us to identify if the obtained results meet our expectations.

Simply put, Process capability index also called process capability ratio is a statistical measurement method to identify the possible variations in a process.

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How much heat is needed to raise the temperature of a 5. 0 gram block of aluminum from 22. 0°c to 37. 0°c?.

Answers

The required heat in this case id 68J

Aluminum is an element with the atomic symbol Al, and the atomic number of this element is 13 in the periodic table. Aluminum is weaker than steel, and also it is less dense than steel.

specific heat, is the quantity of heat required to raise the temperature of one gram of a substance by one  degree celsius. The units of specific heat are usually calories or joules per gram per Celsius degree.

When there is change of heat the expression used will be;

Q = mCΔT

Where m = 5 grams, ΔT = 37[tex]^oC[/tex] - 22[tex]^oC[/tex] ⇒ 15[tex]^oC[/tex], C = 0.900J

Q = 5 × 0.900 × 15

= 68 J

Therefore the required heat in this case is 68J

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A 0.940g sample of barium chloride is heated and 0.800g of anhydrous residue remains after cooling. How many moles of anhydrous barium chloride were present in the sample? How many moles of water were present in the sample?

Answers

Answer: (0.800g BaCl2) / (208.233g BaCl2/mol) =

0.00384 mol BaCl2

Explanation: Hope this helps :)

The number of moles of anhydrous barium chloride is equal to 3.84 ×10⁻³ mol and the number of moles of water is equal to 7.78 ×10⁻³ mol.

What is a mole?

A mole can be described as a standard unit that is used to determine the number of atoms, molecules, ions, or other particular particles in the given mass of the substance. The mass of one mole of any chemical element is known as atomic mass and that of any chemical compound is called the molar mass of that compound.

Given the chemical reaction of decomposition of barium chloride:

[tex]BaCl_2.2H_2O\longrightarrow BaCl_2 +2H_2O[/tex]

Given the mass of the hydrated barium chloride = 0.940 g

The mass of the anhydrous  barium chloride = 0.800 g

The molar mass of the anhydrous barium chloride = 208.23 g/mol

The number of moles (n) of anhydrous barium chloride = 0.800/208.23

n = 3.84 ×10⁻³ mol

The mass of the water = Mass of hydrated barium chloride - anhydrous barium chloride

Mass of water = 0.940 -0.800 = 0.14 g

The number of moles of water = 0.14/18 = 7.78 ×10⁻³ mol

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97.19 ml of 1.527 m sodium chloride (aq) is added to 111.84 ml of 1.923 m silver sulfate (ag2so4). after the reaction is complete, what is the mass of precipitate that has formed?

Answers

61.62 g of precipitate of AgCl is formed after the reaction is complete

As we know the formula :

M = n / V

where

M = Molarity

n= no of moles

V = volume ( in litres)

Concentration of NaCl = 1.527 M = 1.527 mol/L

Volume of NaCl solution = 97.19 ml = 97.19 /1000

= 0.09719 L

Number of moles of NaCl

= 1.527 mol/L × 0.09719 L

= 0.148 mol

Concentration of Ag2SO4 = 1.923M = 1.923 mol/L

Volume of Ag2SO4 solution = 111.84 ml = 111.84/1000

= 0.11184 L

Number of moles of Ag2SO4

= 1.923 mol/L × 0.11184 L

= 0.215 mol

Balanced equation:

Ag2SO4 (aq) + 2 NaCl (aq) -->2 AgCl (s) [precipitate] + Na2SO4 (aq)

1 mol of Ag2SO4 reacts with 2 moles of NaCl produces 2 moles of AgCl,

then 0.215 mols of Ag2SO4 will react with 2 × 0.215 moles = 0.43 moles of NaCl will produce 0.43 moles of AgCl

Molar mass of AgCl = 143.32 g/mol

Mass of precipitate formed = no of moles× molar mass

= 0.43 mol × 143.32 g/mol = 61.62 g

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what is the anion name for telluric acid

Answers

The anion name for telluric acid is TeO₃²⁻ is tellurite ion

Anion are ion that are negatively charged and ion are charged atom or molecule and if a balanced atom loses one or more electron and it will become positively charged cation and if balanced atom gain one or more electron it will become  negatively charged anion and in the telluric acid means H₆O₆Te and the anion are formed TeO₃²⁻ is called as tellurite ion and telluric acid as tellurium source in the synthesis of oxidation catalyst

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A cup of coffee has a hydroxide ion concentration of 1. 0 × 10−10 m. What is the ph of this coffee?.

Answers

The coffee's pH will be 10.

What does pH refer to?

An aqueous solution's acidity or basicity can be determined using the pH scale, which previously stood for "potential of hydrogen." In comparison to basic or alkaline solutions, acidic solutions are measured to have lower pH values.pH = pH3O+

because hydrogen ions attach to water molecules for form hydronium ions.

To calculate the pH of a solution, use the equation

pH = − log [H3O+]

Since we are given the hydronium ion (H3O+) concentration of the solution, we can plug this value into the formula.

pH = −log[ 1.00 × 10^−10M]

pH = 10

Hence, The pH of this solution is 10

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What gets emitted when an electron relaxes from an excited state to the ground state?.

Answers

Answer: Photon

Explanation:

The electron can reach its ground state level either with one direct jump or with shorter jumps via intermediate levels. If an excited electron emits a photon, the energy hf of that photon equals the energy difference between the initial energy level of the electron and a lower level.

When determining the mass of an atom, the electrons are not considered. Why can scientists disregard the electrons?.

Answers

When determining the mass of an atom, scientists disregard electrons is because they are 2000 times smaller than protons and neutrons. They are meaningless in terms of mass.

What is atomic mass?

The ideal definition of atomic mass is 1/12 of the mass of a carbon-12 atom in its ground state. The total mass of protons and neutrons, which is almost equal to the atomic mass, can be used to account for the mass of an atom. The loss of binding energy mass is what caused this minor alteration.

1 amu = 1.66 ×10−24 g

When divided by unified atomic weight or Daltons, the atomic weight of an atom is a dimensionless number.

Compared to the masses of the proton and neutron, which both have 1.67 10^-27 mass, the electron has a mass of 9.1 10^-31. since electrons are much smaller and have far less mass than a nucleus. This allows for the ignoring of the electron mass.

Another explanation is that, in order to achieve stability, an electron of any element may be transferred from one orbital of any one element to another orbital of any other element during the production of any compound. As such we do not factor the mass of the electron into atomic mass for this reason.

Another explanation for why the mass of any atom is unaffected by the electron is that electrons are always in motion. Since electrons move around the nucleus at an extremely fast rate—even faster than the speed of light—causing their mass to be turned into energy. According to a quantum physics hypothesis, when an item travels at square of the speed of light, it loses mass, turns into energy, and is no longer affected by gravity.

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predict the product(s) and provide a fully balanced chemical equation for each of the following hydrogenation reactions:

Answers

The product of the fully balanced chemical equation is single bond compound.

Hydrogenation reactions include the reaction of hydrogen and nitrogen to form product depending on the choice of catalyst.

Hydrogenation is a chemical reaction that provides hydrogen to a molecule. Hydrogenation is not thermodynamically favorable at regular temperatures, so a catalyst is needed. Normally this catalyst is a metal. Examples of hydrogenated products consist of margarine, mineral turpentine, and aniline.

An example of an alkene addition response is a technique called hydrogenation. In a hydrogenation reaction, two hydrogen atoms are brought across the double bond of an alkene, ensuing in a saturated alkane.

Hydrogenation is used to solidify, preserve or purify many products, raw materials, or ingredients. Ammonia, fuels (hydrocarbons), alcohols, pharmaceuticals, margarine, polyols, numerous polymers and chemicals are products dealt with using a hydrogenation manner.

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Disclaimer:- your question is incomplete, please see below for the complete uestion.

predict the product(s) and provide a fully balanced chemical equation for each of the following hydrogenation reactions:

An atom of which element has the strongest attraction for the electrons in a bond?.

Answers

An atom of Fluorine  element has the strongest attraction for the electrons in a bond.

One of the most important properties of electrons is their mutual Coulomb repulsion. As electrons are negatively charged species we know that they will be attracted to the nucleus. We know that these electrons moved in their fixed energy levels called as the orvbitals ,which in turn decides the size of an atom as well.

In the periodic table as we move from left to right in the periodic table we see that the even though the number of electrons are increasing, but the size of the atoms will decrease. This happens because for each atom when the upcoming electrons are added they get added to the same shell . Due to this the nucleus will attract these electrons towards itself.

This is the main reason why from left to right in the periodic table the size of the atoms decreases, so it means smaller the size greater will the attraction faced by the electrons . Since Fluorine is the element present on the right most corner of the periodic table, it has the strongest attraction faced due to its smaller size.

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Please classify the following equation: Na₂O + H₂O → 2NaOH
combustion
double replacement
single replacement
synthesis
decomposition

Answers

Answer:

Explanation:

Synthesis

since you know its not a chemical change, why do you think the color change occured when you heated the plated penny in part 2.

Answers

The penny must have changed its color because an oxidation reaction. When we heat some metals, the trnasform into oxides, for exxample Zinc oxide ZnO or CuO.

Moreover, his compounds are colored molecules mostly brown or black colored compounds. First at all when we put the pennies into a acetic acid solution, a redox reaction wiil happen. The acetate is an oxidant  and it will react with the Cu, Zn and Sn to reduce them. for example, if we have ZnSO4 in the plate and it will be heated, the Zn will suffer a redox reaction and will form Zn0. a metalic form. that´s why the color changes.

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If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled, by what factor will the volume of the gas change?.

Answers

If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled then volume of the gas change is 4/3

Volume is the space occupied within the boundaries of an object in three dimensional space

Here the relationship between pressure volume and temprature can be expressed as

PV/T

And then

P₁V₁/T₁ = P₂V₂/T₂

So in this case P₁V₁T₁ are equal to 1 and have the pressure triple so that P₂ = 3 and the temprature quadrupled so that T₂ = 4 and then we have to calculate V₂ = ?

(1)(1)/1 = (3)V₂  /4

1 = 3/4 V₂

1(4/3) = (3/4) V₂ 4/3

V₂ = 4/3

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The half-life of radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain after 2000 years?.

Answers

41.788 mg of sample contains 100 mg, remains after 2000 years when the half-life of radium-226 is 1590 years.

Radium is a radioactive element. All radioactive elements are first order reactions with half-life constants.

For first-order reactions, the half-life is inversely proportional to the rate constant. The formula is:

for first-order reaction

[tex]t_{1/2} = \frac{ln2}{k} \\k = \frac{ln2}{t_{1/2}} \\\\k= \frac{0.693}{1590} \\\\\\k= 0.000436 years[/tex]

Radioactive decay period is:

t = 2.303 × log(a/a-x)/k

Where,

t ⇒ Decay time of radioactive element.

a ⇒ initial amount

a-x ⇒ remainder after t time

k ⇒ rate constant

put the value in formula

t = 2.303 × log(a/a-x)/k

2000 = 2.303 * log(100 / a-x) / 0.000436, so,

log(100 / a-x) = 2000 * 0.000436 / 2.303

                   =0.379

100 / a - x = log 0.379

100/a-x=2.393

a - x = 100 / 2.393

a - x = 41.788 mg

So after 2000 years,  41.788 mg of radium-226 will remain

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