Write the balanced symbol equation for the electrolysis of aluminium oxide to produce aluminium, and the reduction of iron oxide with carbon to produce iron.


Then use that to calculate the atom economy for each.

Answers

Answer 1

Answer:

Electrolysis of Al₂O₃: 4Al³⁺ (s) + 6O²⁺ (g) → 4Al (s) + 3O₂ (g)

Reduction of Elemental Fe: 2Fe₂O₃ (s) + 3C (s) → 4Fe (s) + 3CO₂ (g)

Atom Economy for Electrolysis of Al₂O₃: 52.9227%

Atom Economy for Reduction of Fe₂O₃: 62.8534%

Explanation:

Step 1: Define Compounds

Aluminum Oxide - Al₂O₃

Iron Oxide - Fe₂O₃

Step 2: RxN

Al₂O₃ (s) → Al (s) + O₂ (g)

Fe₂O₃ (s) + C (s) → Fe (s) + CO₂ (g)

Step 3: Balance RxN

2Al₂O₃ (s) → 4Al (s) + 3O₂ (g)

We need the same number of O on both sides (6 is the LCM)We will also need to balance the number of Al on both sides due to the change of O (4 reactant/product)

This is ONLY the decomposition reaction for Aluminum oxide, NOT the electrolysis.

2Fe₂O₃ (s) + 3C (s) → 4Fe (s) + 3CO₂ (g)

We need the same number of O on both sides (6 is the LCM)We will also need to balance the number of Fe on both sides due to the change of O (4 reactant/product)We will also need to balance the number of C on both sides due to the change of O (3 reactant/product)

This is the final single-replacement reaction for the reduction of Iron Oxide to Iron.

Step 4: Electrolysis of Al₂O₃

We will have to use oxidation-reduction reactions (half-reactions). Let's break up the reaction into it's elements.

Al³⁺ + ? → Al

To make the ion Al³⁺ turn into its neutral atom, we will need to add 3e⁻ to balance the half reaction

Al³⁺ + 3e⁻ → Al

O²⁻ → O₂ + ?

Oxygen is a diatomic element, and in it's natural state is bonded to itself. We need to balance the half reaction

2O²⁻ → O₂ + ?

We need to figure out how much electrons the ion O²⁻ loses to turn into its neutral atom. We see that we will need to lose 4e⁻

2O²⁻ → O₂ + 4e⁻

Our half reactions:

Al³⁺ + 3e⁻ → Al

2O²⁻ → O₂ + 4e⁻

We now need balance the entire half reaction. Our LCM is 12

4 (Al³⁺ + 3e⁻ → Al) = 4Al³⁺ + 12e⁻ → 4Al

3 (2O²⁻ → O₂ + 4e⁻) = 6O²⁻ → 3O₂ + 12e⁻

Add the 2 half reactions

4Al³⁺ + 12e⁻ + 6O²⁺ → 4Al + 3O₂ + 12e⁻

Cancel out spectator ions/e⁻ to get our final half reaction

4Al³⁺ (s) + 6O²⁺ (g) → 4Al (s) + 3O₂ (g)

Step 5: Atom Economy

According to GCSE and my own deciphering, your equation for Atom Economy is essentially calculating for something similar to percent yield (but not quite).

[tex]Atom \hspace{3} Economy \hspace{3} = \hspace{3} \frac{Molar \hspace{3} Mass \hspace{3} of \hspace{3} Product}{Molar \hspace{3} Mass \hspace{3} of \hspace{3} All \hspace{3} Reactants} \cdot 100 \%[/tex]

4Al³⁺ (s) + 6O²⁺ (g) → 4Al (s) + 3O₂ (g)

Molar Mass of Al - 26.98 g/mol

Molar Mass of O - 16.00 g/mol

Reactants: 4(26.98 g/mol) + 6(16.00 g/mol) = 203.92 g/mol

Products (Al as end product): 4(26.98 g/mol) = 107.92 g/mol

[tex]Atom \hspace{3} Economy \hspace{3} = \hspace{3} \frac{107.92 \hspace{3} g/mol}{203.92 \hspace{3} g/mol} \cdot 100 \%=52.9227 \%[/tex]

2Fe₂O₃ (s) + 3C (s) → 4Fe (s) + 3CO₂ (g)

Molar Mass of Fe - 55.85 g/mol

Molar Mass of O - 16.00 g/mol

Molar Mass of C - 12.01 g/mol

Reactants: 4(55.85 g/mol) + 6(16.00 g/mol) + 3(12.01 g/mol) = 355.43 g/mol

Products (Fe as end product): 4(55.85 g/mol) = 223.4 g/mol

[tex]Atom \hspace{3} Economy \hspace{3} = \hspace{3} \frac{223.4 \hspace{3} g/mol}{355.43 \hspace{3} g/mol} \cdot 100 \%=62.8534\%[/tex]

Step 6: Check for significant figures

Since we are not given any values, we don't really need to change any numbers to fit sig fig rules.


Related Questions

is muriatic acid a compound or not?

Answers

Hydrochloric acid is a mixture. Although we use HCl as the formula for hydrochloric acid, HCl is, in fact, the formula of hydrogen chloride, which is a compound. Hydrogen chloride is a gas which readily reacts with water.

HCl + H2O ———-> H3O^+(aq) and Cl^-(aq)

Hydrochloric acid is a mixture of these ions

H2O and H3O^+(aq) and Cl^-(aq)

There are many different concentrations of hydrochloric acid - it must be a mixture.

What is the wavelength of a radio wave with a frequency of 1.2 × 106 Hz? 3.6 × 1014 meters 3.6 × 102 meters 2.5 × 102 meters

Answers

Answer:

2.5 × 102 meters

Explanation:

Wavelength, which is denoted by λ, can be calculated using the formula:

λ = v/f

Where λ = wavelength (m)

v = speed of light (3×10^8m/s)

f = frequency (Hz)

According to the given information I n the question, f = 1.2 × 10^6 Hz, v = 3×10^8m/s

Hence;

λ = v/f

λ = 3 × 10^8 ÷ 1.2 × 106

λ = 3/1.2 × 10^ (8-6)

λ = 2.5 × 10^2

Therefore, the wavelength of the radio wave is 2.5 × 10^2 meters

which element has the electron configuration of 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p6 6s2 4f14 5d10 6p6 7s2 5f14 6d8

Answers

Answer:

Darmstadtium

Explanation:

An element with the electronic configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶6s²4f¹⁴5d¹⁰6p⁶7s²5f¹⁴6d⁸ has 110 electrons in its electron shells.

Since the element is a neutral atom, this number is also equal to its atomic number. Therefore, its atomic number is 110.

The element in the period table that has an atomic number of 110 is Darmstadtium, a d-block element, thus a transittion metal. It also belong to period 7 in the Periodic table of elements.

The element that has the electron configuration is Darmstadtium.

Electronic configuration:

Since An element with the electronic configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶6s²4f¹⁴5d¹⁰6p⁶7s²5f¹⁴6d⁸ contains 110 electrons in its electron shells.

Also, the element should be a neutral atom, this number should also equal to its atomic number. Therefore, its atomic number is 110.

The element in the periodic table that has an atomic number of 110 is Darmstadtium, a d-block element, thus a transition metal.

Learn more about electron here: https://brainly.com/question/24850343

a molecule for sulfur dioxide consists of one sulfur atoms (S) and two oxygen atoms (0). what is the chemical formula for this compound

Answers

SO2 is the chemical formula for sulfur dioxide, usually when it says dioxide it means two O’s (O2——-> O+O).

At 9°C a gas has a volume of 6.17 L. What is its volume when the gas is at standard temperature?

Answers

Answer:

V₂ = 5.97 L

Explanation:

Given data:

Initial temperature = 9°C (9+273 = 282 K)

Initial volume of gas  = 6.17 L

Final volume of gas = ?

Final temperature = standard = 273 K

Solution:

Formula:

The Charles Law will be apply to solve the given problem.

According to this law, 'the volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure'

Mathematical expression:

V₁/T₁ = V₂/T₂

V₁ = Initial volume

T₁ = Initial temperature

V₂ = Final volume  

T₂ = Final temperature

Now we will put the values in formula.

V₁/T₁ = V₂/T₂

V₂ = V₁T₂/T₁  

V₂ = 6.17 L ×  273K /  282  k

V₂ = 1684.41 L.K / 282 K

V₂ = 5.97 L

Which of these is a physical change in shape?
A. Digesting food
B. Cooking an egg
C. Breaking a glass
D. Dissolving salt

Answers

breaking a glass is a physical change in shape

Need help ASAP please

Answers

Answer:Melting can create steam, kind of like a nukeular plant exept no nukulear rods

1. Endothermic; increases
2. Exothermic; decreases
3. Endothermic;increases
4. Exothermic; decreases
5. Endothermic; increases

What causes the air above a pot of boiling water to become warm?

The air transfers thermal energy to the water vapor.
The water vapor transfers thermal energy to the air.
The particles in the air lose kinetic energy.
The particles in the water vapor gain kinetic energy.

Answers

Sorry wish I knew this one :(

Answer: The water vapor transfers thermal energy to the air.

Explanation:

Rubbing alcohol or isopropanol can be described by the chemical formula C3H7OH. One milliliter of isopropanol has a mass of 0.76 g, so its density is 0.76 g/mL. Isopropanol is often used as a cleaner or a disinfectant and evaporates when placed on warm objects. However, caution must be taken when using isopropanol, because it is also highly flammable. Which of the following is a chemical property of isopropanol?
A. One mL of isopropanol has a mass of 0.76 g.
B. Isopropanol has a density of 0.76 g/mL.
C. Isopropanol evaporates when placed on a warm object.
D. Isopropanol is flammable.

Answers

A chemical property of isopropanol : D. Isopropanol is flammable.

Further explanation

There are changes that occur in the mater: physical changes and chemical changes

Classification uses the principle of the initial and final state of the substance.

Physical changes do not form new substances, so the properties of the particles remain the same.(size,volume,shape)

Example : boiling and freezing, just change its phase form from liquid to gas or from liquid to solid

 

Chemical changes/reaction form new substances(products) that are different from the initial substances(reactants)

Example : toxic, corroded

So :

the physical properties of isopropanol :

mass, density, evaporation

the chemical properties of isopropanol :

highly flammable

Answer:

D. Isopropanol is flammable.

Explanation:

Mass, volume, temperature, phase of matter, color, texture, density, and hardness are all examples of physical properties. However, flammability is an example of a chemical property.

Chemical properties describe an object's potential to change its chemical composition. These properties depend on the types of atoms found in the object and the arrangement of those atoms (and their subatomic particles).

Can someone help me with number two pls

Answers

Answer:

The answer is G

Explanation:

this is because of what a element looks like on a periodic table

Answer:

F. 1 and 3

Elements are pure substance

Please help!!!

A piece of metal of mass 27 g at 93° C is placed
in a calorimeter containing 59.2 g of water at
21°C. The final temperature of the mixture is 34.9 ° C. What is the specific heat capacity of the metal? Assume that there is no energy lost to the surroundings.
Answer in units of J/g. ° C

Answers

Answer:

1.586 J/g°C

Explanation:

So, we have the formula [tex]q = mc\Delta t[/tex].

Since heat released by the metal is = to the heat absorbed by the water (because they eventually become the same temperature in solution), we can say

[tex]m_{water}C_{water}(T_{water}-T_f) = - m_{metal}C_{metal}(T_{metal} - T_f)[/tex]

Plugging in, we get:

[tex]59.2*4.184*(21- 34.9) = - 27*C_{metal}*(93 - 34.9)[/tex]

Solving, we get [tex]C_{metal} = 1.586[/tex] J/g°C.

How r fossil fuel helpful
Plss help ill give brainliest

Answers

Answer: The United States gets 81% of its total energy from oil, coal, and natural gas, all of which are fossil fuels. We depend on those fuels to heat our homes, run our vehicles, power industry and manufacturing, and provide us with electricity.

Explanation:

....

Answer:

They give us things that we couldnt get anywhere else and arent harmful to the enviornment

Explanation:

Which answer choice correctly describes what will happen to an element with four valence electrons if it engages in a chemical reaction?

a. It will lose electrons.
b. It will neither gain nor lose electrons.
c. It will gain electrons.
d. It may gain or lose electrons.

Answers

The answer is D. It may gain or lose electrons.

Arrange the following metals in order of increasing reactivity Pb,Al, Sn,Q,Au,and Mg.​

Answers

Answer:

Sn, Q,Au, Al,Pb

Explanation:

Because thats hw that works

HOPE IT HElPS

Which pair of symbols represents nuclei with the same number of neutrons?
A. 56 Co and 580
B. 57Co and 58Ni
c. 57Fe and 58 Ni
D. 57Mn and 57Fe

Answers

Answer:

B

Explanation:

Mass number  = number of neutrons + number of protons

Atomic number is the number of protons in the nucleus.  

58Ni   : 58 is the number of neutrons + number of protons

atomic number of Ni is 28.  Thus,  58 -28 = 30 neutrons

57Co ;  57 is the number of neutrons + number of protons

number of Co is 27. Thus, 57 – 27  = 30 neutrons

with of the following describe a chemical change

a) a metal fork was melted

b) a metal fork was cut in half

c) a metal fork became bent

d) a metal fork became rusted​

Answers

Answer:

D

Explanation:

Rusting is a chemical change that occurs due to oxygen.

Answer:

d i had this your welcome

2. When one plate is thrust under another plate it will create what landform?
a. Rift valley
b. Mountain range
C. Subduction zone-trench
d. Crater

Answers

Answer:

a

Explanation:

What was Pangea and when did it form?

Answers

Answer:

Pangaea or Pangea ( /pænˈdʒiːə/) was a supercontinent that existed during the late Paleozoic and early Mesozoic eras. It assembled from earlier continental units approximately 335 million years ago, and it began to break apart about 175 million years ago.

Explanation:

2. Calculate the density of a rock that has a mass of 21.58 grams and causes the water in a
graduated cylinder to rise from 20.0yl to 25.4 ml.

Answers

Answer:

4.00 g/mL

Explanation:

Density is mass divided by volume (g/mL).

Mass of rock = 21.58

Volume of rock = 25.4 - 20.0 = 5.4mL

Density of rock = 21.58g / 5.4mL = 3.99629 g/mL

Round to the lowest number of significant figures which is three = 4.00 g/mL

Which term describes weathering?

breaks down rock
causes heating and cooling
makes pebbles and rocks larger
carries away fragments

Answers

Answer:

Breaks down rocks.

Explanation:

Weathering is the breaking down of rocks often with water. For example a sea shell will get batered with water and over time form sand.

Which landform is created by glaciers? A. sandbar B. moraine C. alluvial fan (will give brainliest to the best answer)

Answers

Answer: B: Moraine

Explanation:

A jogger with a mass of 60 kg is moving at 2 m/s. What is the jogger's kinetic energy?

Answers

Answer:

Ke = mgv

Explanation:

(60)(9.81)(2) =1177.2 joules persecond or Watts.

1.177 kilowatts

2. What are the units for the mass of a solid? mass of a liquid? ​

Answers

Answer:

I'm not sure myself but I'd say mass since it's a solid

How do you think the amount of a material affects its tendency to sink or float?
ASAP

Answers

Answer:

it dependes on the material

Explanation:

what is the material

Answer:

it doesnt

Explanation:

The amount of material does not reflect on its tendency to sink or float because that depends on density which is an intensive property.

the elements boron, silicon, germanium, and arsenic be classified into? *

Answers

The six commonly recognised metalloids are boron, silicon, germanium, arsenic, antimony, and tellurium

At what temperature does water boil at 101kPa?

Answers

Answer:

100°C

Explanation:

A liquid boils when the vapour pressure is the same as the atmospheric pressure. At 101kPa or 1 atm, water boils at the well known number of 100°C. If  the pressure is different, you will have to use the Clausius Clapeyron Equation.

The ion X2- belongs to an element in Group

Answers

Answer:

ion X²- an element in group VI A.

The density of a pure liquid at 25 degrees Celsius was calculated by determining the mass and volume of a sample of the liquid. A student measured the mass of a clean, dry 25.00 mL volumetric flask, filled the flask to its calibration mark with the liquid, and then measured the mass of the flask and liquid. The recorded measurements are shown in the table above. On the basis of this information, to how many significant figures should the density of the liquid be reported?

Answers

Answer

The density of the liquid is 0.82 g/mL.

Explanation:

From the question given above, the following data were obtained:

Mass of empty flask = 18.990 g

Mass of flask + liquid = 39.439 g

Volume of liquid = 25 mL

Density of liquid =..?

Next, we shall determine the mass of the liquid. This can be obtained as follow:

Mass of empty flask = 18.990 g

Mass of flask + liquid = 39.439 g

Mass of liquid =.?

Mass of liquid = (Mass of flask + liquid) – (Mass of empty flask)

Mass of liquid = 39.439 – 18.990

Mass of liquid = 20.503 g

Finally, we shall determine the density of the liquid as follow:

Mass of liquid = 20.503 g

Volume of liquid = 25 mL

Density of liquid =..?

Density = mass / volume

Density of liquid = 20.503 / 25

Density of liquid = 0.82 g/mL

You are using a calorimeter to calculate the specific heat capacity of a metallic ore. The calorimeter contains 0.50 kilograms of water at room temperature (22 °C). We heat the ore in boiling water and then drop the metal into the calorimeter and wait for the water and metal to reach the same temperature. The mass of the ore is 3.5 kilograms. We find that the water has increased in temperature to 24.3 °C. Recall that the specific heat of water is 4.18 J/g–°C. Calculate the specific heat capacity of the ore.

Answers

the specific heat capacity of the ore : 0.018 J/g°C  Further explanation

In the calorimeter, the heat received is the same as the heat released  

Q abs = Q release

Heat can be calculated using the formula:  

Q = mc∆T  

Q = heat, J  

m = mass, g  

c = specific heat, joules / g ° C  

∆T = temperature difference, ° C / K  

Q released by a metallic ore and absorbed by water at calorimeter

Q ore = Q water

Q water

m = 0.5 kg = 500 g

c = 4.18 J/g–°C.

Δt = 24.3 - 22 = 2.3

[tex]\tt Q=m.c.\Delta t\\\\Q=500\times 4.18\times 2.3=4807~J[/tex]

the specific heat capacity of the ore.

Q ore = Q water = 4807 J

m ore = 3.5 kg = 3500 g

Δt = 100 - 24.3 = 75.7

[tex]\tt 4807=3500\times c\times 75.7\\\\c=0.018~J/g^oC[/tex]

When boiling a pot of water on the stove without a lid on the pot, the _____________. A energy and water molecules are free to escape into the surrounding environment. B molecules can escape out into the environment, but the energy are forced to stay in the system. C energy can escape out into the environment, but the molecules are forced to stay in the system. D both the energy and molecules are trapped in the system.

Answers

Answer:

A) Energy and Water molecules are free to escape into the surrounding environment.

Explanation:

Hello! This is the correct answer! (I took the K12 test)  

I hope this helps!  Have a blessed day! :)

When boiling a pot of water on the stove without a lid on the pot, the energy and water molecules are free to escape into the surrounding environment.

What is boiling?

Boiling point of a substance is the temperature at which the substance changes from liquid state to gaseous state where these two systems comes in equilibrium.

Thus when a liquid is boiled, the liquid molecules get more energy to move apart and they escape into gaseous state. With change in state of the substance, the energy also be transferred from the liquid to the environment.

If the pot is closed with a lid, then both energy can be transferred but molecules get trapped inside. But here the pot is open and thus the gas molecules and energy are free to move outside.

Therefore, option A is correct for the boiling of water in an open pot.

To learn more about boiling, refer the link below;

https://brainly.com/question/23026747

#SPJ5

Other Questions
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft. Write the equation of the parabola in vertex form.Vertex: (3,7); Point: (2,5) Which heading best completes the partial outline shown? A) results of manifest destiny B) development of states rightsC) elements of reconstruction D) limits on civil rights In it's ______, an animal can raise young, find food and water, and maintain shelter. Is this a function or no !!Decide whether the command is grammatically CORRECT or INCORRECT as written.Habla espaol.correctO incorrect What is one difference between a mendicant order and monastic order?0 Friars taught Christianity, why monks did not0 Friars lived in poverty, while monks did not0 Friars were women, while monks were men0 Friars traveled, while monks live in monasteries Tyler Invests $7900 in two different accounts. The first account paid 9 %, the second account paid 8% in Interest. At the end of the first year he had earned $674 in interest. How much was in eachaccount?$at 9 %$at 8 % Which of these expressions has the same product as ()?Select all that apply.A.()B.()C.()D.()E.() A population has standard deviation g = 17.2.Part 1 of 2(a) How large a sample must be drawn so that a 99.8% confidence interval for I will have a margin of error equal to 3.8?Round the critical value to no less than three decimal places.Round the sample size up to the nearest integer.A sample size of is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to3.8.Part 2 of 2(b) If the required confidence level were 80%, would the necessary sample size be larger or smaller?(Choose one) because the confidence level is (Choose one) What are social, political, and economic consequences of the second industrial revolution The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour? FIRST QUESTION. what does scruple mean? SECOND QUESTION. What is a sentence for scruple? I WILL GIVE YOU BRAINLIESTTT!!!!!!Read this excerpt from "The Tell-Tale Heart" by Edgar Allan Poe.His room was as black as pitch with the thick darkness, (for the shutters were close fastened, through fear of robbers,) and so I knew that he could not see the opening of the door, and I kept pushing it on steadily, steadily.How does the situational irony of this excerpt affect "The Tell-Tale Heart"?It makes the old man's death feel more deserved since he was clearly causing the narrator great strife by worrying so much about the danger posed to him by robbers.It shows that, while the narrator is unreliable, he's actually telling the truth about the problems and pain that the old man caused.It makes the old man's death feel even more tragic because he never realized that the real danger to him was not from robbers outside, but from the man inside his home.It shows that, despite what he says, the narrator was actually not very careful when he crept into the old man's room. For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket. 6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work can someone help with this please . questions 3 and 4 Record yourself saying the following times in Spanish. Be sure to use complete sentences! 1. 2:10 2. 1:15 3. 8:45 4. 3:00 5. 11:55 in spanish. Whats the definition of kilwa? the momentum of a bullet Simon went to high school from 2012 to 2017. He was born when his father was 25. Simons parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simons parents met.