Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly
8 cm and paint them black.

However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density
). She suggests forming the gold into hollow balls instead , so that the fake "iron ore" has the same density as real iron ore
One of the balls of fake "iron ore," sliced in half.

Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2
significant digits.

Answers

Answer 1

The thickness of the walls of each hollow lump of iron ore is: 0.295cm. This is determined using the knowledge of the Volume of a Hollow Sphere.

What is the Volume of a Hollow Sphere?

The formula for the Volume of a Hollow Sphere is give as:

Volume of a Hollow = 4/3 R³ – 4/3 r³

Step 1 - Find the apparent volume of 8cm diameter sphere including the wall the the hollow inside

V = 4/3 r³

V = (4/3) (8)³

V = (4/3) * (22/7) * 512

V = 2145.52cm³

Step 2 - Determine the mass of Gold required for the sphere to achieve the density of iron ore if the apparent volume is as given in Step 1 above.

Recall that Mass = Density * Volume

Mass = 5.15 *  2145.52

Mass = 11049.45

Step 3 - Find volume of gold based on mass calculated in Step 2 above

Recall that :

Volume = Mass/Density

Thus,

V = 11049.4/19.3

Thus, Volume = 572.51cm³

Step 4 - Find the width of the wall of a hollow sphere for the volume realized in step 3

Recall the initial formula:

Volume of a Hollow = 4/3 R³ – 4/3 r³

Thus, 572.51 = (4/3) (8³ - (8 - t)³)

572.51 = (4/3) *(22.7) *(8³ - (8 - t)³)

572.51 = (88/21) *(8³ - (8 - t)³)

Multiply both sides by 21 and we have

88 (512 - (8 - t)³) = 12,022.71

Simplify further
(8 - t)³ = 357.38

t = 0.9035cm

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Related Questions

Which word equation best describes the following formula equation:

4Al+3O2→2Al2O3?

A. Four molecules of aluminum and three molecules of diatomic oxygen react to form two molecules of aluminum oxide.
B. Four molecules of aluminum react with six molecules of oxide to form twelve molecules of aluminum oxide.
C. Two molecules of aluminum oxide reacts to form three molecules of oxygen and four molecules of aluminum.
D. Aluminum reacts with oxide to form aluminum oxide.

Answers

Option A is the correct answer that describes the equation best as compared to other statement.

Which statement best describes the equation?

Four molecules of aluminum and three molecules of diatomic oxygen react to form two molecules of aluminum oxide is the statement best describes the equation because this statement have same number of molecules that reacted in the equation. We considered an equation correct that have wrong numbers in front of atoms.

4Al+3O2------------>2Al2O3

So we can conclude that option A is the correct answer that describes the equation best as compared to other statement.

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valance shell example..​

Answers

Answer:

Oxygen has six valence electrons, two in the 2s subshell and four in the 2p subshell.

Valence electrons are the electrons in the outermost shell, or energy level, of an atom.

Configuration of oxygen's valence electrons as 2s²2p⁴.

Explanation:

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[tex]\\ \green{MaggieEve}[/tex]

The products of __________ combustion are carbon monoxide, carbon and water. what one word completes this sentence?

Answers

Answer:

Complete combustion

Explanation:

To solve such this we must know the concept of combustion reaction. Therefore the products of complete combustion are carbon monoxide, carbon and water.

What is chemical reaction?

Chemical reaction is a process in which two or more than two molecules collide in right orientation and energy to form a new chemical compound. The mass of the overall reaction should be conserved.

There are so many types of chemical reaction reaction like combustion reaction, acid base reaction, double displacement reaction, combustion reactions. The products of complete combustion are carbon monoxide, carbon and water. Large amount of heat is also released in combustion reaction

Therefore the products of complete combustion are carbon monoxide, carbon and water.

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Scientists are trying to find out why bees are dying in large numbers. Which best describes how the scientists will try to solve the problem?
A. They will do the same experiments to obtain similar evidence.
B. They will only work with scientists who share the same opinions.
C.
They will observe the same patterns and draw the same conclusions
D.
They will approach the problem in different ways but share ideas. ​

Answers

Answer: D. They will approach the problem in different ways but share ideas.

compare the properties of physical and chemical change with the help of an example.​

Answers

Explanation:

For physical change

(1)It is easily reversable, example: the melting of ice.

(2)It produces no new substance example: all cases of melting of solid to liquid.

(3) There is no change in the mass of the substance

example: the magnetization of iron.

For chemical change

(1)It is not easily reversable, example: all cases of burning.

(2) new substance are produced example: rusting of iron.

(3) There is change in the mass of the substance, example : slaking of lime.

Which particles that make up an atom are involved in nuclear reactions?.

Answers

Basically nuclear reactions need to involve protons and neutrons and changes in them. So it should be particles within the nucleus. Aka protons and neutrons.

Solid aluminum and oxygen gas react to form solid aluminum oxide. Suppose you have 3.0 mol of Al and 11.0 mol of O2 in a reactor. Suppose as much as possible of the reacts. How much will be left? Round your answer to the nearest 0.1 mol.

Answers

8.75 moles of oxygen will be left

The reaction is

Al(s) + O₂(g) -----> Al₂O₃(s)

On balancing the equation, we get:

4Al(s) + 3O₂(g) -----> 2Al₂O₃(s)

If 3 mol of Al reacts, we need 3/4 x 3 = 9/4 = 2.25 mol of oxygenIf 11 mol of oxygen reactions, we need 11/3 x 4 = 44/3 = 14.7 mol of AluminiumBut we only have 3 mol of AlAluminium is the limiting reagent and all 3 moles of Al will react

We get 2 moles of aluminium oxide from 4 moles of aluminium. So from 3 moles of aluminium, we get:

                      3/4 x 2 = 6/4 = 1.5 moles of aluminium oxide

If we use 4 moles of Al, we need 3 moles of oxygenSo when we use 3 moles of Al,  we need

                      3/4 x 3 = 9/4 = 2.25 mol of oxygen

We had 11 moles of oxygenThe amount of oxygen left = 11-2.25 = 8.75 mol

8.75 moles of oxygen will be left

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write the transitional metals and their electronic configuration​

Answers

Answer:

yo no se nada

Explanation:

solo se que no se nada xd

What is the si unit if sound

Answers

Explanation:

The SI Unit of sound is decibel.

or we can say that

The SI Unit of sound is watt per square metre (i.e.w/m2).

What are two ways in which the safe house of lean might influence a product owner?

Answers

The safe house of lean might influence a product owner to provide better customer service.

What is the main purpose of safe house of lean?

The safe house of lean is designed to provide ultimate value to the customer one the shortest possible time.

Employing the safe house of lean might influence the product owner in the following two ways:

enable the product ownerr work together with Agile Teams to develop stories with clear acceptance criteria.assist Agile Teams gain a clear understanding of their customers and how best to serve them.

Therefore, the safe house of lean might influence a product owner to provide better customer service.

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Which quantity is held constant for Boyle's law, Gay-Lussac's law, and Charles's law?

volume

mass

temperature

pressure

Answers

Boyle's law: in Boyle's law, pressure of a gas in inversely proportional to the volume while the temperature is shield constant

Temperature

Gay-Lussac's law: In Gay-Lussac's law, pressure of a gas in directly proportional to the temperature while the volume is held constant.

Volume

Charles's law: In Charles's law, the volume of a gas is directly proportional to the temperature while the pressure is held constant.

Pressure

Escriba la formula de:

5) Ácido -3,3-dimetil-Pentinoico
6) 3-etil-6-Heptenoato de propilo
7) Bromuro de 2,3,3-trimetil--5--Hexenoilo
8) N,N-dimetil-2-metil-3-fenil-Butanamida
9) 2-etil-2,5-Octadienal
10) 2,3,3-trimetil-5-Hexinamida

Answers

Answer:

Translate your language to English

The reaction of nitrogen(g) with hydrogen(g) to form ammonia(g) proceeds as follows: N2(g) 3H2(g)2NH3(g) When 6.44 grams of N2(g) react with sufficient H2(g), 21.2 kJ of energy are evolved. What is the value of H for the chemical equation given

Answers

The enthalpy of the reaction is obtained as 4.876 kJ.

What is the enthalpy?

The enthalpy of a reaction is the heat that is absorbed or emitted in a reaction.

Given the reaction; N2(g) + 3H2(g) ⇔2NH3(g);

Number of moles of N2 = 6.44 grams/28 g/mol

= 0.23 moles

If 1 mole of N2 releases 21.2 kJ of energy

0.23 moles of N2 releases 0.23 moles *  21.2 kJ /1 mole

= 4.876 kJ

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A compound has an empirical formula C₂H4S.
What is its molecular formula, if its molar
mass is 168 g/mol?

Answers

The atomic mass of carbon is 12.011 g/mol.The atomic mass of hydrogen is 1.00794 g/mol.The atomic mass of sulfur is 32.06 g/mol.

This means that the molar mass of [tex]\text{C}_{2}\text{H}_{4}\text{S}[/tex] is

[tex]2(12.011)+4(1.00794)+32.06=60.11376[/tex]

Dividing this by the given molar mass, we get [tex]\frac{168}{60.11376} \approx 3[/tex]

So, the molecular formula is about [tex]\boxed{\text{C}_{6}\text{H}_{12}\text{S}_{3}}[/tex]

An unidentified element has one electron in the outer most shell. Explain what
characteristics you would expect this element to have? Your response should include
three or four sentences

Answers

Answer:

They are unstable as single atoms, but can become stable by losing or sharing their one valence electron.

Explanation:

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b) Explain what happens when a drop of concentrated sugar solution is placed on a rheo leaf peel mounted on a glass slide. Name this phenomenon. Would the same happen if the rheo leaf was boiled before mounting? Give reason for your answer

Answers

The rheo leaf peel will lose water by osmosis and become flaccid. If the rheo leaf was boiled, this would not happen.

What is osmosis?

Across living membranes, water moves from a region of high to a region of low water potential.

Concentrated sugar solutions have low water potential when compared to the cell sap of the cells of rheo leaf peel. Thus, water will move from the rheo leaf peel to the sugar solution.

This will result in the wilting of the leaf peel.

If the leaf peel is boiled, the membranes in the cells die and can no longer function as a selectively permeable interface.

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eggs do not contain sugar. Explain why they have such high energy values.​

Answers

Answer:

becuz they have protien inside them dumy its easy

Answer:

because they have protein inside them dummy its easy therefore they did not have sugar

Explanation:

According to Le Châtelier's principle, an increase in temperature will shift the equilibrium position toward the products in an endothermic reaction.

True

False

Answers

The statement "According to Le Châtelier's principle, an increase in temperature will shift the equilibrium position toward the products in an endothermic reaction" is definitely true.

What is Le Châtelier's principle?

Le Châtelier's principle may be defined as transformations in the temperature, pressure, volume, or concentration of a system that will lead to observable and conflicting changes in the strategy in order to accomplish a refreshed equilibrium state.

According to Le Châtelier's principle, an increase in temperature generates the equilibrium to move in the direction of the product of the endothermic reaction, and the decrease in the temperature rationales the equilibrium to move in the direction of the product of the exothermic reaction.

Therefore, it is well described above.

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In an endothermic reaction products are _____ in potential energy and _____ stable than reactants.

higher; more

lower; more

higher; less

lower; more

Answers

In an endothermic reaction, products are higher in potential energy and  less stable than reactants.

What is an endothermic reaction?

Endothermic reactions are those reactions that do not release heat but absorb heats, that's why the products are of higher potential energy and due to this they are less stable.

Thus, the correct option is C, higher; less.

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deduce the molecular formula of hydrogen 18.2%, carbon 81.8%, relative molecular mass is 44​

Answers

Answer:

let number of carbon is an

Explanation:

hence 12 and + 2n is equal to 126

14 and is equal to 126

n is equal to 9

Please answer step by step.

Answers

3 moles of NaOH reacts with 1 mole of phosphoric acid.

What is the moles ratio of the NaOH and Phosphoric acid reaction?

The moles ratio of the reaction between NaOH and Phosphoric acid is given by the equation of the reaction below:

[tex]3\:NaOH + H_{3}PO_{4} \rightarrow Na_{3}PO_{4} + 3\:H_{2}O \\ [/tex]

Based on the equation of the reaction, 3 moles of NaOH reacts with 1 mole of phosphoric acid.

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Which is not a characteristic of a compound?

has different properties from its component elements
different samples have different properties
can be represented by a chemical formula
a pure substance made of two or more elements

Answers

The second answer is not a characteristic because compounds don’t vary from sample to sample. For example NaCl (table salt) is indistinguishable from sample to sample.

what is electron
and the unit​

Answers

Electron is a negatively charged subatomic particle. It orbits the shells of an atom.

N₂ + 3H2 → 2NH3
224 L of nitrogen reacts with
excess hydrogen at 2773 K and
95 atm, using up 93.5 mol N2.
How many moles of ammonia
form?

Answers

Answer:

187 moles NH₃

Explanation:

To find the amount of ammonia formed, you need to multiply the given value by the mole-to-mole ratio consisting of both relevant molecules. The mole-to-mole ratio is made up of the molecules' coefficients in the balanced equation. The desired unit should be placed in the numerator of the ratio. The final answer should have 3 sig figs to reflect the lowest amount of sig figs among the given values.

1 N₂ + 3 H₂ ----> 2 NH₃
^                         ^

93.5 moles N₂          2 moles NH₃
----------------------  x  -------------------------  =  187 moles NH
                                    1 mole N₂

What is the molar concentration of
a solution that contains
5.0 mol HCl in a total volume
of 10.0 L?

Answers

Answer:

0.5

Explanation:

5/10=0.5

What are chloroethane's conditions?

Please help me
Thanks

Answers

Explanation:

Hi there!

Chloroethane requires atleast one chlorine in ethane. It's general formula is CnH2n+1Cl. It mean it must have 2 carbons, 5 hydrogens and atleast one chlorine.

In addition, carbon-carbon bond must be single and chlorine is attached to either carbons. The carbon of this compound is SP³ hybridized and has bond angle of 120°.

Hope it helps!

it requires on chlorine

if the maximum temperature for a particular day is 20°c and the minimum temperature is 10°c, the daily mean would be:

Answers

The daily mean, given the data from the question is 15 °C

Data obtained from the questionMaximum temperature = 20 °CMinimum temperature = 10 °CMean = ?

How to determine the daily mean

Mean = Sumation of data / Number of data

Mean = (20 + 10) / 2

Mean = 30 / 2

Mean = 15 °C

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Please select the word from the list that best fits the definition

Rock that is formed from the remains of older rocks and organisms

Super position
Radioactive dating
Sedimentary
Igneous
Metamorphic
Rock Cycle

Answers

Answer is Sedimentary Rock
Explained

Sedimentary rocks are formed from layers of eroded rocks, sand, silt, dead plants, and animal skeletons.

You are trying to determine the
freezing point for a 0.195 m
baqueous solution of K₂S.
How many particles does K2S
dissociate into?

Answers

From the equation; there are three particles in solution.

What is freezing point?

The term freezing point is the temperature at which a liquid substance is converted to solid. We know that this is colligative property thus it depends on the number of particles in solution.

The dissolution of K₂S gives us;

K₂S(s) ----> 2K^+(aq)  + S^2-(aq)

This implies that there are three particles in solution.

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A 13.00 g sample of citric acid reacts with an excess of baking soda as shown in the equation.
H3C6H507 +3NaHCO3 →3CO2 + 3H₂O+Na3C6H507
What is the theoretical yield of carbon dioxide?
0.993 g
O2.98 g
O 3.65 g
8.93 g

Answers

Answer:

eheheehehehszndn!jejxxnndrrjrrrfufurururufjththjrjrjdjjjrj\u\ujrjeejrjjjj carbon

From Law of definite proportion
You can compare this
Citric acid (Mw) / 3CO2 (Mw) = Citric acid (g) / 3CO2 (g)
So (12)6+(1)8+(16)7 / 3[12 + (16)2] = 13 / 3CO2
192 / 132 = 13 / CO2
You can get 3CO2 = 8.93 g
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