calculate the mass of dinitrogen tetroxide n2o4 that contains a trillion ×1.001012 nitrogen atoms. be sure your answer has a unit symbol if necessary, and round it to 3 significant digits.

Answers

Answer 1

The mass of dinitrogen tetroxide the number of Nitrogen atoms are 46 x 10^9 gram

Given:

number of nitrogen atoms = 1 x 10^12 atoms

To Find:

mass of dinitrogen tetroxide

Solution:

From the molecular formula of dinitrogen tetraoxide;

molar mass of dinitrogen tetraoxide = 92 g/mol

92 g of dinitrogen tetraoxide contains 2 atoms of nitrogen

x g of dinitrogen tetraoxide will contain 1 * 10^12 atoms of nitrogen

x = 92*1* 10^ 9/2

x = 46 x 10^9 gram

Hence, the number of Nitrogen atoms are

Hence, the number of Nitrogen atoms are 46 x 10^9 gram

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Answer 2

Answer:

The mass of dinitrogen tetroxide the quantity of Nitrogen particles are 46 x 10^9 gram

Number of nitrogen atoms = 1 x 10^12 atoms

Explanation:

From the atomic Formula of dinitrogen tetraoxide;

molar mass of dinitrogen tetraoxide = 92 g/mol

92 g of dinitrogen tetraoxide contains 2 molecules of nitrogen

x g of dinitrogen tetraoxide will contain 1 * 10^12 molecules of nitrogen

x = 92*1* 10^ 9/2

x = 46 x 10^9 gram

the quantity of Nitrogen molecules are 46 x 10^9 gram


Related Questions

propane (c3h8) is burned with air. for each case, obtain the balanced reaction equation for complete combustion a. with the theoretical amount of air. b. with 20% excess air. c. with 20% excess air, but only 90% of the propane being con- sumed in the reaction.

Answers

Combustion of propane is the exothermic reaction

Combustion reactions are reactions in which a substance reacts with an excess of air or oxygen to form products. the combustion of hydrocarbons in the presence of stoichiometric or excess levels of oxygen forms carbon dioxide and water and with the release of heat the molecular formula of propane is C₃H₈. one mole of propane needs five moles of oxygen for complete oxidation to form carbon dioxide and water.

The balanced equation for combustion of propane is:

C₃H₈(g) + 5O₂(g)→3CO₂(g)+4H₂O(g)

The products are 3 moles of CO₂ and 4 moles of H₂O for every mole of the alkane burnt completely. propane combust completely

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identify what each ghs symbol signifies about the type of chemical present in a bottle or storage cabinet.

Answers

If this symbol is seen on a chemicals bottle, it means that it is an oxidizing chemical.

What is the symbol?

In a chemical laboratory there is usually a special cabinet for the storage of chemicals. The chemicals that are stored are often chemicals that are used to carry out one kind of experiment or the other in the laboratory.

However, symbols are used to symbolize the peculiarity of each particular chemical. Now we can see the symbol as shown in the image attached. If this symbol is seen on a chemicals bottle, it means that it is an oxidizing chemical.

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Joshua is preparing a report to show the relationship between average kinetic energy and temperature. Is his graph accurate? Explain your answer

Answers

Yes his graph is accurate.

Average kinetic energy- The kinetic energy of each particle in a sample of matter varies with temperature. Instead, a wide range of kinetic energies are visible in the particles. The majority of the particle's kinetic energies fall somewhere in the middle of the range. However, a few particles have kinetic energies that are significantly lower or greater than the norm.

The average kinetic energy of a sample of matter reduces as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Temperatures on the order of 1 x 10∧ -10 K have been reached in the lab, but absolute zero has never been. Since the Kelvin temperature scale is based on molecular motion, absolute zero is often referred to as 0K. The average kinetic energy of a substance's particles directly relates to the substance's Kelvin temperature. For instance, the average kinetic energy of the particles in a sample of hydrogen gas at 200K is twice that of the particles in the same sample at 100K.

Relation between Average kinetic energy and temperature-

The relationship between a substance's temperature and its average particle kinetic energy is direct. These particles' constant mass means they must move more swiftly as the temperature rises.

KE ∝ T

Hence, the graph is accurate.

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Your question is incomplete. Please find the missing image below.

i need help please its due tmr for school!

Answers

450 djdueudhdjeiwjdbdhe

Number 4 -

1 kilogram = 1000 grams

0.79kg * 1000g = 790g

0.3kg * 1000g = 300g

790g - 300g = 490g

Number 5 -

24 hrs / 3 = 8

That means the lamb was fed 8 times in one day.

1 liter = 1000 milliliters

Using this conversion, we could do 290 * 8 to figure out how many milliliters it was fed in one day.

290 * 8 = 2320

2320 / 1000 = 2.32 liters fed to the lamb in one day

Working on my mental math this way<3

What do sound waves and infrared waves have in common, and what makes them different?

Both carry energy through space, but sound waves are mechanical and infrared waves are electromagnetic.
Both can transfer energy through matter, but sound waves travel through air and infrared waves travel through space.
Both can transfer energy through matter, but sound waves can be heard and infrared waves can be seen.
Both carry energy through space, but sound waves require matter to pass through and infrared waves do not.

Wave X and Wave Y are mechanical waves, and Wave Z is an electromagnetic wave.
Wave X and Wave Y are electromagnetic waves, and Wave Z is a mechanical wave.
Wave X and Wave Z are electromagnetic waves, and Wave Y is a mechanical wave.
Wave X and Wave Z are mechanical waves, and Wave Y is an electromagnetic wave.

Answers

The statement that describes the similarity and difference between sound and infrared waves is as follows: both carry energy through space, but sound waves are mechanical and infrared waves are electromagnetic (option A).

What are sound waves?

Sound waves are the longitudinal waves of pressure that is transmitted through any plastic material i.e. audible sound.

Also, infrared waves are electromagnetic radiation of a wavelength longer than visible light, but shorter than microwave radiation, having a wavelength between 700nm and 1mm.

Both sound and infrared waves carry energy, however, the difference between both waves is that sound waves are mechanical and infrared waves are electromagnetic.

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Calcium carbonate decomposes into calcium oxide and carbon dioxide. If 224 g of calcium carbonate decomposes, how many moles of carbon dioxide gas is produced?.

Answers

What is produced is 2.24 moles of carbon dioxide.

What is the number of moles of carbon dioxide?

We have to apply the stoichiometry of this reaction in trying to answer this question. Recall that what we have here is a decomposition reaction. The calcium carbonate is decomposed to give calcium oxide and carbon dioxide.

Number of moles of calcium carbonate =  224 g/100 g/mol = 2.24 moles

We can see that the reaction is 1:1 hence, the number of moles of carbon dioxide that would be produced in this reaction would also be 2.24 moles of carbon dioxide.

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The number of moles of carbon dioxide gas produced from the reaction is 2.24 mole

How to determine the moles of calcium carbonate, CaCO₃Mass of CaCO₃ = 224 gMolar mass of CaCO₃ = 100 g/molMole of CaCO₃ =?

Mole = mass / molar mass

Mole of CaCO₃ = 224 / 100

Mole of CaCO₃ = 2.24 moles

Balanced equation

CaCO₃ -> CaO + CO₂

From the balanced equation above,

1 mole of CaCO₃ decomposed to produce 1 mole of CO₂

How to determine the mole of CO₂ produced from the reaction

From the balanced equation above,

1 mole of CaCO₃ decomposed to produce 1 mole of CO₂

Therefore,

2.24 moles of CaCO₃ will also decompose to produce 2.24 moles of CO₂

Thus, 2.24 moles of CO₂ were produced from the reaction

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which element requires the least amount of energy to remove the outer-most electron from a gaseous atom i the groud state

Answers

The element that requires the least amount of energy to remove the outer-most electron from a gaseous atom in the groud state is Sodium (Na). That is option 3.

What is a ground state of an atom?

A group state of an atom is defined as the level of energy attained by an atom in which all its electrons are in the lowest possible energy levels.

From the periodic table, the elements are arranged in groups and periods according to their atomic mass number.

From the atoms listed, sodium is element that requires the least amount of energy to remove the outer-most electron from a gaseous atom in the groud state.

This is so because of the following reasons:

It had very low nuclear charge,

Small size, and

A negligible shielding effect.

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Complete question

Which Element Requires The Least Amount Of Energy To Remove The Most Loosely Held Electron From A Gaseous Atom In The Ground State?

(1) bromine

(2) calcium

(3) sodium

(4) Silver

8. The number of
10.
9. The electric charge on an atom is neutral because the number of protons is the same as
the number of
and each of their individual charges cancel out.
are atoms of the same element with a different number of neutrons.
number.
11. What does it mean when a nucleus is "stable?"
13. What is alpha decay?
is different for each element and is known as the
12. If a nucleus is unstable and breaks apart, it is called
14. What is beta decay?
15. What is gamma decay?

Answers

Answer:

12.6

Explanation:

34. Which of the following substances is most likely to exist in the liquid state at room temperature?
A) butane
B) 2-methylpropane
C) cyclobutane
D) propanal
E) ethane

Answers

The most likely organic compound to exist in the liquid state at room temperature is Propanal; option D

What are organic compounds?

Organic compounds are the compound which are obtained from organic materials such as plants ad animals,

Organic compounds can also be obtained from the remains of dead plants and animals.

Generally, organic compounds are composed of the following elements:

Carbon, Oxygen, hydrogen, Nitrogen, Phosphorus, and Sulfur.

Organic compound include hydrocarbons which usually exist as gasses.

However, with increase in molecular weight as well as presence of other intermolecular forces such as hydrogen bonds, organic compounds can exists as solids and liquids.

Considering the give compounds, Propanal will most likely exist as liquid because of the presence of hydrogen bonding in the molecules.

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An epicenter station is4,000 km away. How long after the the first wave did the first wave arrive?

Answers

The first wave appear after 320 seconds and after the arrival of P wave

We can use the formula TD = d × t / 100 km

TD = d × t / 100 km

= ( 4000 km × 8 s ) / 100 km

= 32000 km /s / 100 km

= 320 seconds

The first s-wave will arrived in 320 seconds after the arrival of the first p-wave

The earliest waves to reach a seismograph are known as P waves, or primary waves. The fastest seismic waves, known as P waves, can pass through solid, liquid, or gas. On the medium they travel through, they leave a trail of compressions and rarefactions

The second waves to arrive during an earthquake are called S waves, or secondary waves. They can only pass through solids and are substantially slower than P waves

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Convert 300.0mm into m using dimensional analysis

Answers

Answer:

How to Convert Millimeters to Meters. To convert a millimeter measurement to a meter measurement, divide the length by the conversion ratio. The length in meters is equal to the millimeters divided by 1,000.

Explanation:

______ is the amount of heat present a.energy b.temperature c.potential d.thermometer

Answers

Answer:

[tex]b[/tex]

[tex]temperature[/tex]

which bonds maintain the primary structure of a protein? question 7 options: ionic bonds hydrogen bonds peptide bonds disulfide bonds\\

Answers

Proteins have four structures primary, secondary,m tertiary, and quaternary. The primary structure of the protein has been known to have peptide bonds. Thus, option C is correct.

What are peptide bonds?

Peptide bonds are the chemical bonds that are involved in protein polymer formation by linking the amino acid chains. They are also called amide bonds that are present between the nitrogen and the carbonyl atom.

The primary structure of the proteins includes the amino linked by the peptide bonds that make them look like linear structures. The secondary structures have hydrogen bonds and the tertiary have ionic and hydrophilic hydrogen bonds.

Therefore, option C. the primary structure of the protein contains peptide bonds.

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the pits in a cd are 1.6e-8 m deep. how many of these pits would need to be stacked on top of each other to make a hole .305 m deep?

Answers

Answer:

4.5 written in scientific notation is 4.5×100 4.5 × 10 0 .

The only exponent number that will produce 1 as the value of the number is 0.

Explanation:

when a 12.7 g chunk of zinc dissolves in 500. ml of 1.450 m hcl, what is the concentration of hydrogen ions remaining in the final solution? (asume the volume does not change during the reaction)

Answers

Concentration of hydrogen ions remaining in the final solution is [tex].673 M[/tex]

In original solution we have 1.450M of HCl

1.450 M means 1.450 moles of HCl in 1 liter of water

Therefore, number of moles of HCl in 500ml of water will be

                                                           =  [tex]1.450*0.5[/tex] moles

                                                           =  0.725 moles of HCl

Reaction between HCl and Zn happens when zinc is added -

         [tex]Zn(s) + 2HCl[/tex]     →      [tex]ZnCl_{2} + H_{2}[/tex]

Therefore two moles of HCl is needed for 1 mole of zinc

Thus number of moles of HCl needed to react with 12.7g of Zinc will be

                                   =  [tex](12.7/ 65.38 moles of Zn )* (2moles of HCl/mole of Zn)[/tex]

                                   = .388 Moles

So moles of HCl left  = [tex]0.725 - .3888[/tex]

                                  =  0.3365 moles

In 1 Mole of HCl there is 1 mole of H because

                                    [tex]HCl[/tex]  →  [tex]H^{+} + Cl^{-}[/tex]

Therefore in 0.3365 mole HCl there will be 0.3365 moles of H

Thus final concentration of H ions in final solution is =

                                      =  [tex]0.3365mole/0.5 L[/tex]

                                      = 0.673M

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Using the dimensional Analysis
In the Above questions to convert 14,612 mL to DAL which of the following portrays to correct set up

Answers

Option A displays the accurate dimensional analysis for converting 14,612 mL to daL.

Determining the value of measurement across many units is crucial in many situations.This means that we must convert from one unit to another. The application of a conversion factor enables such a conversion.Now that we are aware of a conversion factor, we can utilize it to change mL into daL. In order for the units to cancel out, this conversion factor needs to be dimensionally precise in its arrangement.Option A displays the accurate dimensional analysis for converting 14,612 mL to daL.

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Question 7 of 14
How much energy is released if a sample loses 0.001 kg mass through
radioactive decay?
OA. 3× 102 J
B. 9 × 10¹3 J
O C. 3 × 105 J
OD. 9×1019 J

Answers

Answer:

as we know that E= mc²

E= .oo1×(3×10⁸)²

E= .001×9×10¹⁶

we can right .001 =1×10‐³

E=1×10-³×9×10¹⁶

E=9×10¹³

ans is B 9×10¹³

9×10¹³J is the energy that is released if a sample loses 0.001 kg mass through radioactive decay. Therefore, the correct option is option B.

What is energy?

Energy, which is observable in the execution of labor as well as in the form of light and heat, is the quantitative quality that's also transferred to something like a body or to any physical system in physics. Energy can be transformed in form but cannot be created or destroyed, according to the rule of conservation of energy. The joule is the SI's (International System of Units) unit of measurement of energy (J).

A moving object's kinetic energy, an object's potential energy, an object's elastic energy, chemical energy linked to chemical reactions, electromagnetic radiation's radiant energy, and the internal energy of a thermodynamic system are examples of common kinds of energy.

E= mc²

E=0 .001×(3×10⁸)²

E=0.001×9×10¹⁶

E=9×10¹³J

Therefore, the correct option is option B.

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Which of the following are used to make
predictions?
hypotheses
laws
theories

Answers

Answer:A hypothesis is a tentative explanation that can be tested by further investigation. A theory is a well-supported explanation of observations. A scientific law is a statement that summarizes the relationship between variables. An experiment is a controlled method of testing a hypothesis.

Explanation:

D. Theories

Explanation: If the theory is true, it allows scientists to make predictions about what they observed.

__________________________ which is a sickness caused by ingesting harmful bacteria, and can be prevented by cooking meat and eggs at a proper temperature.



Food poisoning


decomposition


influenza


Strep throat

Answers

Answer: Food poisoning
Definition: I remembered taking a test with that question
Good luck

- Why is the FBI interested in studying explosives?

Answers

The FBI's main goal is the protection of the state, the study of explosive could be seen as as offensive or defensive against a threat to the state

15) 1 The formula of methane is CH4 and the formula of ethane is C₂H6.
Which row describes diffusion and the relative rates of diffusion of methane and ethane?

Answers

The relative rate of diffusion is faster of methane than methane and particles move from high concentration to low concentration.

Diffusion is the spreading of particle from a region of higher concentration to a region of lower concentration.

Diffusion is the process by which molecules move in the presence of a concentration gradient. All living things go through this crucial phase. The movement of chemicals into and out of cells is aided by diffusion.

The molecular weight of methane is lower than the molecular weight of ethane so lower the molecular weight easier will be its diffusion. So, methane will diffuse more easily than ethane.

So, According to the question, row B describes diffusion and the relative  rates of diffusion of methane and ethane.

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Your question is incomplete. Please find the missing image below.

is it true or false an oxygen atom has the same atomic number as hydrogen atom?

Answers

False atomic number determines the element so if it is the same, it must be one element and not oxygen and hydrogen

Answer:

False

Explanation:

Hydrogen atoms contain 1 proton and have an atomic number of 1. Oxygen atoms contain 8 protons and have an atomic number of 8.

In this experiment you are going to use 100. Mg of sodium borohydride. How many moles of sodium borohydride will you use?.

Answers

2.64×10⁻³ (0.00264) moles of sodium borohydride will be used.

m(NaBH₄) = 100 mg ÷ 1000 mg/g

m(NaBH₄) = 0.1 g; mass of sodium borohydride

M(NaBH₄) = 37.83 g/mol; molar mass of sodium borohydride

n(NaBH₄) = m(NaBH₄) ÷ M(NaBH₄)

n(NaBH₄) = 0.1 g ÷ 37.83 g/mol

n(NaBH₄) = 0.00264 mol; amount of sodium borohydride

Sodium borohydride is white solid and it is a reducing agent.

Sodium tetrahydridoborate is an inorganic compound with the formula NaBH₄.

Mass is a fundamental measure of the amount of matter in the object.

Kilogram (symbol: kg) is the base unit of mass in the International System of Units.

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Conductivity is directly related to the number of ions present in a solution. Insoluble compounds do not dissociate to any appreciable extent. What kind of conductivity would you expect such a solution to have?.

Answers

An incompletely dissociating solution would have weak conductivity. Ions that have completely broken free from their bonding conduct more effectively than those that are still connected.

Why conductivity is important?

Aquatic organisms and plants prefer a particular spectrum of salinities. Outside of this area, they will have negative effects and possibly even die. Others can endure both low and high salinities, whereas certain creatures can only endure low salinity.

In addition to its direct effects on aquatic life, salinity has various other important influences on the chemistry and density of water.

How is Conductivity measured?

The most popular way to quantify saltiness is in parts per thousand, or grams per liter.

A Siemen is a unit used to measure conductivity. It is also known by its smaller equivalents, the milli-Siemen and the micro-Siemen, which are each one millionth of a Siemen. The most popular type of conductivity is referred to as specific conductivity.

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What are the main categories of properties of matter? Mark all that apply.
Physical
Chemical
Pure Substance
Mixture

Answers

Physical, chemical, pure substance, and mixture are all categories of properties of matter.

What is Matter?

The matter is defined as something that has mass and occupies space.On basis of physical state, the matter is classified into solid, liquid, or gas.On basis of chemical property, the matter is categorized as homogenous and heterogeneous.The matter is also categorized into pure substances and mixtures.Pure substances are further divided into elements and compounds.The matter is made up of specific chemical and physical properties called elements which are not further broken down.

Therefore, physical, chemical, pure substances, and mixtures are the main categories of matter.

Hence, all the given options are correct.

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At constant temperature, the behavior of a sample of a real gas more closely approximates that of an ideal gas as its volume is increased because the.

Answers

At constant temperature, the behavior of a sample of a real gas more closely approximates that of an ideal gas as its volume is increased because the (D) Average distance between molecules becomes greater.

An ideal gas is:

1) made up of molecules which are in constant random motion in straight lines.

2) all collisions are perfectly elastic, there is no loss of kinetic energy during the collision.

3) follows ideal gas law: p·V = n·R·T.

4) the gas particles have negligible volume.

At low temperatures, volume of the gas is not negligible.

Real gases may be expected to deviate from Charles's law at high pressures.

Real gases may be expected to deviate from Charles's law near the liquefaction temperature.

Missing options:

(A) Collisions with the walls of the container become less frequent

(B) Average molecular speed decreases

(C) Molecules have expanded

(D) Average distance between molecules becomes greater

(E) Average molecular kinetic energy decreases

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water molecules are made of hydrogen atom(s) and oxygen atom(s). (use only one number per blank.) quiozlet

Answers

Water molecules are made of 2 hydrogen and 1 oxygen atom. H2O.

Two hydrogen atoms bound together by covalent bonds to one oxygen atom make up a water molecule. The shared electrons in covalent bonds are drawn to oxygen atoms because they are electronegative.Polar covalent bonds are present. Due to the extra electron sharing, oxygen atoms have a tiny negative charge, whereas hydrogen atoms have a slight positive charge (from the extra un-neutralized protons).The minor negative charges on the oxygen atoms of other water molecules are drawn to the slight positive charges on the hydrogen atoms in a water molecule. This bond is called hydrogen bond which is weak bond. A liquid state of water is due to these small, weak hydrogen bonds.

It can be concluded that hydrogen atom have 2 hydrogen and 1 oxygen atom which are bounded together by covalent bond.

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Which compound is composed of calcium and chlorine?

Answers

Answer:

CaCl2, because calcium loses two electrons and chlorine gains one electron.

Explanation:

what would be the molarity of a solution prepared by diluting 250.0 ml of 0.400m sulfuric acid with 1000 ml of water?

Answers

The final concentration of sulfuric acid in terms of molarity is 0.08 M.

The molarity of a solution expresses the concentration in terms of the number of moles of solute per liter of solution. Since the volume of the solution increased, the molarity of the solution will change.

First, let us solve for the number of moles of sulfuric acid based on the initial concentration and volume. Volume must be converted to L in order for the units to have consistency.

number of moles = molarity*volume

number of moles = 0.40 M * 250 mL * ( 1 L/1000 mL)

number of moles = 0.10 moles

Then, let us solve for the new concentration by dividing the same number of moles with the new volume. The number of moles remains the same since there is no addition of solute.

final concentration in terms of molarity = number of moles / total volume

final concentration = 0.10 moles / [(250mL+1000mL)*(1L/1000mL)]

final concentration = 0.08 M

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Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft x 28 ft ceiling with gold leaf that is five-millionths of an inch thick. The density of gold is 19.32 g/cm^3, and gold costs $1654 per troy ounce ( 1 troy ounce =31.1035 g). How much will it cost the architect to buy the necessary gold?

Answers

Based on the calculations, it would cost the architect $33,940.08 to buy the necessary gold.

What is density?

Density can be defined as a ratio of mass to the volume of an object such as a baseball. Mathematically, the density of a baseball can be calculated by using this formula:

Density = M/V

Where:

M represents the mass of a physical object.V represents the volume of a physical object.

How to determine the cost of gold needed?

First of all, we would determine the volume of gold that is required in cubic centimeters as follows:

Conversion factor:

12 inches = 1 foot

Volume = 100 × 12 × 28 × 12 × 5 × 10⁻⁶

Volume = 2.016 in³

In cubic centimeters, we have:

Volume = 2.016 × 2.54³

Volume = 33.04 cubic centimeters.

Next, we would determine the mass of gold required:

Mass = Density × Volume

Mass = 19.32 × 33.04

Mass = 638.33 grams.

Converting the mass in grams to troy ounces, we have:

Mass = 638.33/31.1035

Mass = 20.52 troy ounce

Now, we can determine the total cost of gold needed:

Total cost of gold = 20.52 × $1654

Total cost of gold = $33,940.08.

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Other Questions
wich type of econmic activity employs that most workers A curve at a racetrack has a radius of 800 m and is banked at an angle of 7.0. On a rainy day, the coefficient of friction between the cars' tires and the track is 0.50. What is the maximum speed at which a car could go around this curve without slipping? Plasma is one of the fundamental states of matter and consists of a:A) liquid at high temperatureB) totally or partially ionized gas, electrically neutralC) partially ionized gas, with electric chargeD) partially ionized liquidE) partially ionized liquid, electrically neutral Name this program lower.c - This program will read two strings and output which string has more lowercase letters. If both strings contain the same amount of lowercase letters, indicate the number of lowercase letters. Match the output according to the examples below. Assume each string will contain less than 50 characters.ExamplesEnter two strings:Hello wORLD'Hello' contains 3 more lowercase letter(s) than 'wORLD'.Enter two strings:HELLO WORLD'HELLO' and 'WORLD' both contain 0 lowercase letter(s).Enter two strings:CRIMson! tide1'tide1' contains 1 more lowercase letter(s) than 'CRIMson!'. A ball was thrown off a bridge. The table relates to the height of the ball above the ground in feet to the time in seconds after it was thrown. Use the data to enter a quadratic model in vertex form and convert it to standard form. Use the model to find the height of the ball at 1.5 seconds. What is the smallest prime number that divides evenly into 45? In an arithmetic sequence, the first term is 8, the common difference is 3 and the last term is 68.a How many terms are there in this sequence?b Find the sum of all the terms of the sequence. 5. Scientists at a local university have been studying the impact thatpeople have on Earth. One of the areas being studied is how theburning of fossil fuels affects the environment. Which effect of fossilfuel burning have the scientists MOST likely evaluated? . determine whether each of the following statement is true or false: a) x {x} b) {x} {x} c) {x} {x} d) {x} {{x}} The lengths of the three sides of a triangle (in feet) are consecutive even integers. Ifthe perimeter is 96 feet, find the value of the shortest of the three side lengths. Wharton, Inc., pays income taxes on capital gains (including gains on marketable securities) at a rate of 30 percent. At December 31, year 1, the company owns marketable securities that cost $180,000 but have a current market value of $220,000. b. As of December 31, year 1, what income taxes has Wharton paid on the increase in value of these investments? c. Prepare a journal entry at January 4, year 2, to record the cash sale of these investments at $220,000. d. What effect will the sale recorded in part c have on Whartons tax obligation for year 2? Help if you can thank you help with 6 and 7 describe the given set with a single equation or with a pair of equations. the plane through the point parallel to a. the xy-plane b. the yz-plane c. the xz-plane Read the passage from Animal Farm.As Clover looked down the hillside her eyes filled with tears. If she could have spoken her thoughts, it would have been to say that this was not what they had aimed at when they had set themselves years ago to work for the overthrow of the human race. These scenes of terror and slaughter were not what they had looked forward to on that night when old Major first stirred them to rebellion. If she herself had had any picture of the future, it had been of a society of animals set free from hunger and the whip, all equal, each working according to his capacity, the strong protecting the weak, as she had protected the lost brood of ducklings with her foreleg on the night of Major's speech. Insteadshe did not know whythey had come to a time when no one dared speak his mind, when fierce, growling dogs roamed everywhere, and when you had to watch your comrades torn to pieces after confessing to shocking crimes. There was no thought of rebellion or disobedience in her mind. She knew that, even as things were, they were far better off than they had been in the days of Jones, and that before all else it was needful to prevent the return of the human beings. Whatever happened she would remain faithful, work hard, carry out the orders that were given to her, and accept the leadership of Napoleon. But still, it was not for this that she and all the other animals had hoped and toiled. It was not for this that they had built the windmill and faced the bullets of Jones's gun. Such were her thoughts, though she lacked the words to express them.What was most likely Orwells purpose for writing this passage?a)to show that Clover is more sensitive to violence than the othersb)to remind readers of Major's speech and the original rebellionc)to present Napoleon as a cruel leader unworthy of the animals supportd)to represent misled followers and their dashed hopes for better lives Rose has 1 3/4 cups of powdered sugar. she sprinkles 1/3 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does rose sprinkle on the brownies? What is the common name of halobacterium salinarum and is it heterotrophic or autotrophic? There are a children in the class, and b of them are girls. How many boys are in the class? How long will you ensure that all people are free to do what they want as long as others are not hurt ? 23. SALES TAX You buy a jacket, and the sales tax is 6%. The total cost is $79.49.Find the cost of the jacket before the tax. Which type of figurative language is being used in the example?