How many molecules of CO2 are produced from 88. 62 g of C6H12O6?


Please show work, I am confused on how to set it up!

Answers

Answer 1

One mole or 180 g of C₆H₁₂O₆ produces 6 moles or 264 g of CO₂. Then.,  88.62 g of the reactant will produce 129 g of CO₂ corresponds to 2.9 moles.

What is cellular respiration ?

In cellular respiration process of plants plants consume oxygen to convert glucose into carbon dioxide and water as written in the reaction below:

[tex]\rm C_{6}H_{12}O_{16} + 6O_{2} \rightarrow 6CO_{2} + 6H_{2}O[/tex]

As per this balanced chemical equation, one mole of C₆H₁₂O₆ produces 6 moles of carbon dioxide.

Molar mass of  C₆H₁₂O₆ = 180 g/mol

molar mass of CO₂ = 44 g.

mass of 6 CO₂ = 264 g.

Then, mass of CO₂ produced by 88.62 g of glucose is calculated as follows:

(88.62 ×264)/180 = 129.9 g.

No.of moles in 129 g  = 129 /44 = 2.9 moles.

Therefore, the number of moles of CO₂ produced is 2.9 moles.

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Related Questions

an aqueous potassium carbonate solution is made by dissolving 6.97 moles of k2co3 in sufficient water so that the final volume of the solution is 4.00 l . calculate the molarity of the k2co3 solution.

Answers

According to the question the molarity of the k2co3 solution will be 1.74 M.

Why is potassium carbonate used in food?

In baked goods like cakes, wafers, and cookies, potash carbonate can take the place of bicarbonate. Foods become significantly healthier and retain a significant amount of their yeast power thanks to the reduction in salt content.

What does potassium carbonate do to water?

Breads, biscuits, or other baked products can be made using potassium carbonate instead of sodium hydroxide. As a result, meals become considerably healthier and retain a significant amount of their leavening power.

Molarity=No. of moles/Volume of Soln.

M= 6.97/4.00

M= 1.74M

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an unknown compound has the following chemical formula: where stands for a whole number. measurements also show that a certain sample of the unknown compound contains of sulfur and of phosphorus. write the complete chemical formula for the unknown compound.

Answers

The complete chemical formula for the unknown compound P₄Sₓ  is  P₄S₆.

The given unknown compound has the formula P₄Sₓ , where P stands for phosphorus and S stands for sulphur. "X" stands for a whole number which denotes the number of sulphur atoms in the compound.

To determine the value of "X" we need to know the ratio between P and S. There are 4 phosphorus atoms present in the compound.

Since it is given that, we have 6.3 moles of phosphorus(P) and 9.4 moles of sulphur (S). In order to express this in terms of 1, we can divide both sides by 6.3 moles to get a ratio of 1 to 1.5

P= 6.3/6.3= 1

S= 9.4/6.3=1.5

This implies, for every 1 P, there is 1.5 S . So, for 4 P we get;

P= 1× 4= 4

S= 1.5× 4= 6

Thus, for every 4 P we will have 6 S.

Hence, the complete chemical formula is P₄S₆.

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How many grams of aluminum can be recovered from a 34. 5 g sample of Al2O3?

Answers

18.26 grams of aluminum can be recovered from a 34. 5 g sample of Al2O3.

Al is the chemical element's symbol, and its atomic number is 13. Aluminum has a density that is around one third that of steel, which is lower than that of most common metals. It has a strong affinity for oxygen, and when exposed to air, creates a protective oxide coating on the surface. Aluminum visually resembles silver due to similarities in colour and light-reflecting properties.

2Al2O3 → 2Al + 3O2

Al2O3 has a molecular weight of 102.

Al's atomic weight is 27.

We may write from the stoichiometric equation:

It is possible to recover 54 g of Al from 102 g of Al2O3.

So, 18.26 g of Al may be recovered from 34.5 g of Al2O3 (54/102).

There fore  18.26 g of aluminium is recovered.

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A spring with a spring constant of 3N/m is stretched until extended by 1.4m. How much elastic potential energy is stored by the spring?
Give your answer to 2 decimal places

Answers

The energy that is stored in the spring is 2.94 J.

What is the elastic potential energy?

We have to note that the elastic potential energy of the spring is the energy that has been stored in the spring and it is released to be able to do work once we pull the spring.

In this case we already know that;

W = 1/2Ke^2

W = work done

K = force constant

e = extension

Thus;

W = 0.5 * 3 * 1.4^2

W = 2.94 J

We can see that the stored energy for the spring in question is 2.94 J of energy stored.

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Rank these cars in order of increasing momentum:

Car A: 1000 Kg moving at 20 m/s
Car B: 1200 Kg moving at 30 m/s Car C: 2000 Kg moving at 3 m/s

Answers

Car C has the highest momentum, followed by Car B, and Car A has the lowest momentum.

Calculate the momentum of each car?Car C: 2000 Kg moving at 3 m/s Car A: 1000 Kg moving at 20 m/sCar B: 1200 Kg moving at 30 m/sMomentum is calculated by multiplying the mass of an object by its velocity. This means that Car C has the highest momentum of 2000 Kg x 3 m/s = 6000 kg m/s. Car B has a momentum of 1200 Kg x 30 m/s = 36000 kg m/s. Finally, Car A has a momentum of 1000 Kg x 20 m/s = 20000 kg m/s. Thus, the order of increasing momentum is Car A, Car B, and Car C. When two objects collide, the total momentum of both objects before the collision is equal to the total momentum of both objects post-collision, which is known as the law of conservation of momentum. Car C has the highest momentum before the collision, so it will have the highest momentum after the collision as well. This means that Car C will have the highest kinetic energy after the collision, and will be the most difficult to stop. Car B will have the second highest momentum, and Car A will have the lowest. In conclusion, the order of increasing momentum is Car A, Car B, and Car C. Car C has the highest momentum, followed by Car B, and Car A has the lowest momentum. This order is important to consider when two cars are involved in a collision, as it will determine which car will have the highest kinetic energy after the collision.

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PLS HELP WITH CHEMISTRY 19! PLS

ANSWER ALL SQUARES

Answers

2,1,2 that’s the answer giggity

What is the formula for this ionic crystal ?

Answers

Answer:

ZnS

Explanation:

Because there are two tetrahedral holes per anion (sulfide ion) and one-half of these holes are occupied by zinc ions, there must be 1 2 1 2 × 2, or 1, zinc ion per sulfide ion. Thus, the formula is ZnS. Check Your Learning

2. Which of the following types of particles found in an atom has no charge?
A. Electron
B. Nucleus
Neutron
D. Proton

Answers

Answer: Neutron

Explanation:

Protons have a positive charge (+).

Electrons have a negative charge (-).

Neutrons have no charge.

a molecule will always be polar if it . a. consists of more than three atoms b. has polar bonds c. is diatomic with different electronegativities d. contains atoms with different electronegativities e. contains both carbon and chlorine

Answers

A molecule will always be polar if it has polar bonds.

For a molecule to be polar, it must have polar bonds and have those bonds organized in such a way that the bond dipoles do not cancel each other out. Molecules that are polar have both positively and negatively charged parts. A common polar substance is water. Because of its structure and the types of bonds it contains, the molecule has a slight positive charge at one end (the hydrogen end) and a slight negative charge at the other (the oxygen end). Due to the uneven distribution of electrons among the atoms and the asymmetrical nature of the water molecule, the hydrogen atoms at one pole of the molecule are positively charged, while the oxygen atoms at the other pole are negatively charged (side). We use the term "electrically polar" to describe the water molecule.

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(60 Points)

Stoichiometry Help


1. The following reaction shows calcium chloride reacting with silver nitrate. CaCl2 + AgNO3 → AgCl + Ca(NO3)2 How many grams of AgCl are produced from 30. 0 grams of CaCl2?


(Molar mass of Ca = 40. 078 g/mol, Cl = 35. 453 g/mol, O = 15. 999 g/mol, Ag = 107. 868 g/mol, N = 14. 007 g/mol)


A. 19. 4 grams

B. 38. 8 grams

C. 58. 2 grams

D. 77. 5 grams


2. A synthesis reaction takes place when carbon monoxide (CO) and hydrogen gas (H2) react to form methanol (CH3OH). How many grams of methanol are produced when 14 grams of carbon monoxide reacts with 1. 5 grams of hydrogen gas?


A. 6 grams

B. 8 grams

C. 12 grams

D. 16 grams


3. Read the chemical equation.


Mg + 2HCl → MgCl2 + H2


How many moles of MgCl2 are produced from 4 moles of HCl?


A. 0. 2

B. 0. 5

C. 1. 0

D. 2. 0

Answers

Since the equation for the given reaction is balanced, one mole of AgCl is created for every mole of CaCl2 that reacts. We may utilize the molar mass of CaCl2, which is (40.078 g/mol + 2*35.453 g/mol) = 111.012 g/mol.

to get the number of moles. Molar mass divided by mass equals a mole. moles equal 30 g / 111.012 g/mol, or 0.270 mol. CaCl2 and AgCl react 1:1, hence 0.270 mol of AgCl will be created from 0.270 mol of CaCl2 in this reaction. We may use the molar mass of AgCl, which is (107.868 g/mol + 35.453 g/mol) = 143.321 g/mol, to get the mass of AgCl created. mass is determined by multiplying the number of moles by the molar mass. mass = 143.321 g/mol x 0.270 mol, or 38.89 g Therefore, 38.89 g of AgCl will In chemistry, a mole is a unit of measurement that is used to represent how much a chemical compound is present. Avogadro's number, or 6.022 x 1023, of particles makes up one mole of a material. The mole is an useful way to express extremely large amounts of atoms, ions, or molecules since this quantity is so huge. The mole is based on the mass and number of atoms or molecules in a sample of a material.

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Which atom gives up its electrons most easily?



Answers

Cesium will give up the most electrons due to low ionization

Which prediction is supported by the information in the table? K will give up an electron more easily than Br. Both K and Br will have the same pull on electrons. K will have a smaller size in comparison to Br. Both K and Br will produce ions of the same size

Answers

The prediction that is supported by the information in the table is: "K will give up an electron more easily than Br."

This can be determined by looking at the electron configuration of K and Br. Potassium (K) is located in group 1 of the periodic table and has one valence electron in its outermost shell. Bromine (Br) is located in group 17 of the periodic table and has seven valence electrons in its outermost shell. The closer an element is to the edge of a group, the more likely it is to lose electrons and form a positive ion (cation). As K is closer to the edge of group 1 and has fewer valence electrons than Br, it is more likely to lose an electron and become a cation, K+.

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1,1-dibromo-4-methylhexane is treated first with excess sodium amide and quenched with water. catalytic hydrogenation affords what final product? (give correct iupac name.)

Answers

When 1,1-dibromo-4-methylhexane is treated first with excess sodium amide and quenched with water will give 1-bromo-4-methylhexane as the final product. This reaction is a reductive amination.

Here the sodium amide acts as a reducing agent to convert the C=C double bond into a C-C single bond and the nitrogen atom acts as a nucleophile to displace the bromine atom. The catalytic hydrogenation is then used to reduce the remaining C-Br bond to a C-H bond, which results in 1-bromo-4-methylhexane.

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Calculate mass of 3.24x10^-15 molecules of CO2

Answers

Answer:

Therefore, the mass of 3.24 x 10^-15 molecules of CO2 is approximately 7.304 x 10^-14 grams.

Explanation:

To calculate the mass of a certain number of molecules of a substance, you need to know the molar mass of the substance and convert the number of molecules to moles.

The molar mass of CO2 is 44.01 g/mol. To convert the number of CO2 molecules to moles, we can use Avogadro's number which is 6.022 x 10^23.

So, moles of CO2 = (3.24 x 10^-15 ) / (6.022 x 10^23)

mass of CO2 = moles * molar mass = (3.24 x 10^-15 ) / (6.022 x 10^23) * 44.01 g/mol = 7.304 x 10^-14 g

Therefore, the mass of 3.24 x 10^-15 molecules of CO2 is approximately 7.304 x 10^-14 grams.

Which process is spontaneous?

Answers

Answer:

The separation of sodium and chlorine from sodium chloride

Explanation:

When sodium chloride reacts with water to form the aquated sodium and chloride ions, the entropy increases and thus the reaction is spontaneous

Water is then released and passes through a turbine to produce what?

Answers

Water is released and passes through a turbine to produce electricity.

A mechanical device called a turbine transforms the kinetic energy of moving water into mechanical energy. A generator is then used to turn this mechanical energy into electrical energy. A shaft connects the turbine and generator, allowing the turbine to spin the generator and generate power. The turbine's blades spin as the water passes past it, spinning the generator, which produces power. This method is referred to as hydropower and is a renewable energy source.

The ideas Faraday established form the foundation of how a generator works. He discovered that moving a magnet past a conductor makes electricity flow. In a large generator, electromagnets are made by circulating direct current through loops of wire wound around stacks of magnetic steel laminations. These are called field poles and are mounted on the perimeter of the rotor.

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in this activity, you will complete a virtual experiment to determine how the temperature of water affects the time it takes for antacid tablets to dissolve. pre-lab questions 1. how does an increase in concentration affect a chemical reaction? 2. when temperature increases, what happens to the molecules in a chemical reaction? 3. how do we measure the average kinetic motion of molecules in a solution?

Answers

1. An increase in concentration increases the speed of reaction.

2. When temperature increases, average speed of molecules increases.

3. Average kinetic motion of molecules in a solution can be measured by measuring the heat in the solution.

As concentration increases, number of molecules in the solution increase, hence the reaction becomes faster. Since these factors increase in value, the frequency of collisions between the reactant molecules in the solution will increase, so the probability of collisions in right orientation and with right energy will be higher. Increase in temperature will increase the average speed and kinetic energy of the  molecules in solution. At constant volume, increased speed of reactant molecules in the solution will increase the probability of collisions in right orientation and right energy. Average kinetic energy of molecules in a solution can be measured using the equation, E=kT , where k = Boltzmann constant.

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bromobenzene used in the experiment is 3.2 g. what is the mass of magnesium turnings (mg) that is 1.25 molar equivalent to the amount of bromobenzene used? use the molar mass data available in the manual.

Answers

We can calculate the number of moles of magnesium that is equivalent to the bromobenzene used:

n_Mg = n_Br * 1.25 = 0.020mol * 1.25 = 0.025mol

Finally, we can calculate the mass of magnesium:

m = n * M

m = 0.025mol * 24.31 g/mol = 0.6 g.

So the mass of magnesium turnings equivalent to the amount of bromobenzene used is 0.6 g.

What is a molar equivalent?

A molar equivalent is a unit of measurement that corresponds to the number of moles of a reactant that is needed to react with one mole of another reactant.

What is bromobenzene used for?

Bromobenzene is a clear, colorless liquid with a pleasant odor. It is primarily used as a solvent and motor oil additive, and in making other chemicals.

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Water is essential to life. Which property of water affect(s) life less than the others?
a) Hydrogen bonds
b) Nearly colorless
c) Cohesiveness
d) High heat capacity
e) High heat of vaporization

Answers

Water is necessary for life. b) Nearly colorless property of water has the least impact on life

While all of the properties of water are important for life, the property of being nearly colorless is the one that affects life the least. The other properties, such as hydrogen bonding, cohesiveness, high heat capacity, and high heat of vaporization, all play critical roles in the functioning of living organisms and the environment. Hydrogen bonds between water molecules give water its high surface tension, which allows for the cohesion of water molecules that allows for the movement of water in plants, and the cohesion and adhesion property of water that allows for the movement of water in rivers and oceans. High heat capacity and high heat of vaporization are also important for maintaining a stable temperature range for living organisms.

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Estimate the minimum detectable concentration of H2O2 if a small amount of catalase (solid) is added to a hydrogen peroxide solution in a calorimeter. Assume that a temperature rise of 2 0. 02oC can be distinguised. You can use a heat capacity of 4. 184 kJ/kg/K for the hydrogen peroxide solution

Answers

To estimate the minimum detectable concentration of H2O2, we need to determine the amount of heat released during the reaction between catalase and hydrogen peroxide and compare it with the minimum detectable temperature rise. The reaction between catalase and hydrogen peroxide can be represented as follows:

2H2O2 (aq) + Catalase --> 2H2O (l) + O2 (g)

The amount of heat released during the reaction can be calculated using the equation:

ΔH = - n * ΔH°

Where n is the number of moles of H2O2 and ΔH° is the standard enthalpy of reaction for the reaction between catalase and hydrogen peroxide. The standard enthalpy of reaction can be estimated from the standard enthalpies of formation of the reactants and products.

Since the heat released by the reaction is proportional to the number of moles of H2O2, we can calculate the minimum detectable concentration of H2O2 by dividing the minimum detectable heat release by the heat capacity of the hydrogen peroxide solution and the ΔH°.

Assuming a heat capacity of 4.184 kJ/kg/K for the hydrogen peroxide solution and a temperature rise of 0.02oC, the minimum detectable heat release can be calculated as follows:

ΔQ = mcΔT

Where m is the mass of the hydrogen peroxide solution and c is the heat capacity.

Let's assume the mass of the hydrogen peroxide solution is 100 g. Then, the minimum detectable heat release can be calculated as follows:

ΔQ = (100 g) * (4.184 kJ/kg/K) * (0.02 K) = 0.83 kJ

The minimum detectable concentration of H2O2 can then be calculated as follows:

n = ΔQ / ΔH°

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calculate the volume in milliliters of a m sodium chloride solution that contains of sodium chloride . round your answer to significant digits.

Answers

The NaCl solution has a 1.7 L volume.

Molarity (M) is calculated by dividing the volume of the solution (V) in liters by the number of moles of solute (n). Not moles of solute per liter of solvent, but rather moles of solute per liter of solution, is a crucial distinction to make when defining molarity.

The volume of the NaCl solution is 1.7 L.

First step: Information is given

The molarity of sodium chloride is 1.8 M.

The mass of sodium chloride is 175 grams.

The molecular weight of sodium chloride is 58.44 g/mol.

Step 2: Calculate the moles of sodium chloride.

Mass NaCl divided by molar mass NaCl equals moles of NaCl.

58.44 grams/mole of sodium chloride, or 175.0 grams

2.995 moles are equal to one NaCl mole.

3. Calculate the volume of the solution.

Ratio of volume to mole

Volume equals Molarity times Molar NaCl.

Volume = 1.9 M / 2.995 M

= 1.66 to 2.7 liters in volume.

The NaCl solution has a 1.7 L volume.

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Complete Question -

Calculate the volume in liters of a 1.8M sodium chloride solution that contains 175. g of sodium chloride (NaCI). Round your answer to 2 significant digits.

I need a description of the rocks.
Table D. Absolute Age of Rock Layers

Answers

Basalt is an ingenious salt which is found near the surface. Limestone fossils are found in sedimentary sequences and they are old by 2.7 billion years. Sand stones with trilobites are old about 500 million years.

What are rock types?

Rocks are the major parts of the tectonic plates of earth, There are broadly three classes of rocks namely, sedimentary rocks, igneous rocks and metamorphic rocks.

Basalt is a type of well grained igneous rocks found near the surface of earth. Rapid cooling of lava rich in Mg and Ca composes Basalt rock

Limestone, a form of carbonate sedimentary rock composed primarily of calcium carbonate (CaCO3). The minerals calcite and aragonite, which are various crystal forms of CaCO3, make up the majority of its material. When these minerals separate from water that has dissolved calcium, limestone is created.

Sileous sandstone is a typical component of nearshore deposits about 500-600 million years of age. This often grades into siltstone and shale as it moves into the sea, with finer-grained sediment accumulating in deeper water to create these rocks.

Shale rocks with ammonites have an age of about 70 million years. Ammonites are spiral shaped fossilized shells of marine animals.

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the _____ functional group can always be found in a carbohydrate molecule.

Answers

Carbohydrates usually contain a carbonyl (=O) and hydroxyl (−OH) functional group.

Carbonyl (=O) and hydroxyl (=OH) functional groups are typically present in carbohydrates. In polysaccharides, where the hydroxyl groups typically establish hydrogen bonds with the carbonyl groups, the carbonyl group joins with a carbon atom to form a ring structure. Amino, carboxyl, and R are the functional groups found in proteins (variant). Note: Complex assemblies are created when proteins interact with other biological macromolecules and one another.

Based on the functional monomer found in carbs, this classification was created. Ketone and aldehyde serve as monomers in carbohydrates. That suggests that carbs are divided into aldose and ketose. Depending on how many carbon atoms there are, carbohydrates can be divided into numerous categories.

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what trend do you notice for electronegativity down a family? explain the reason for this trend in 2-3 sentences.

Answers

Answer:

Going down a family means the elements are getting larger.  As more electrons surround the positively charged nucleus, they reduce the attractive electrostatic force because they are further away, and existing electrons repulse them.

Explanation:

Electronegativity is a measure of the attraction an element has for electrons.  Fluorine has a high electronegativity (2.98), while Francium does not (0.7).  Fluorine more readily attracts other electrons.  When going down a family on the periodic table, electronegativity decreases.  This is because the existing electrons have already filled the electron shells closest to the positive nucleus.  A new electron arriving near Francium doesn't experience the full attraction of the nucleus since it so far away.  The existing electrons form a repulsive barrier.

a solution of silver nitrate is mixed with a solution of iron(iii) chloride. write the balanced equation and then determine how many grams of precipitate can be formed with 75.0ml of 0.100m iron(iii) chloride.

Answers

Moles=Concentration x Volume

Moles = 0.100 x (75/1000) = 0.0075 moles.

We can use the molar mass of AgCl to calculate the mass of AgCl precipitate formed:

Mass of AgCl = moles of AgCl x molar mass of AgCl

mass of AgCl = 0.0075 moles x 143.32 g/mole

mass of AgCl = 1.07 g

Is AgCl soluble or insoluble?

It is well verified that AgCl is insoluble in water while NaCl and KCl are soluble. Hence, AgCl is very much less soluble than NaCl or KCl.

What is AgCl-acidic or basic?

The base of silver is weak, whereas chlorine acid is strong. When the weak base responds with a strong acid, it forms acidic salt. It indicates the salt that produces acidic pH, becomes a base when liquefied in water.

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You have piece of copper that has a mass of 3.8 grams. How much energy/heat (in units of Joules) is needed to warm the
piece of copper from 11°C to 27°C? The specific heat of copper is 0.32 Joules/((1g)(1°C))

Answers

Answer:To find the amount of energy needed to warm the piece of copper from 11°C to 27°C, you can use the formula:

Energy = (mass of copper) x (specific heat of copper) x (change in temperature)

So in this case, the energy would be:

Energy = (3.8 grams) x (0.32 Joules/((1g)(1°C))) x (27°C - 11°C)

Energy = 3.8 x 0.32 x 16

Energy = 12.288 Joules

Therefore, 12.288 Joules of energy is needed to warm the piece of copper from 11°C to 27°C.

Explanation:

In a compound, which type of bond is the sharing of electrons between adjacent atoms?

Answers

Covalent bonds are what occur when nearby atoms share electrons inside a molecule. Atoms share electrons in a covalent connection in order to reach their highest energy level.

Covalent bonds are also referred to as the valence shell because they have the right amount of electrons for a stable noble gas arrangement. Atoms can attain a more stable electron configuration and create a chemical bond because to this sharing of electrons.

The strength of the bond and the characteristics of the compound are determined by the amount of electrons shared, which is dependent on the number of electrons required to fill the valence shells of the atoms involved.

However, certain metal atoms may also create covalent bonds with non-metal atoms. Covalent bonds are commonly formed between non-metal elements. It is significant to remember that there are other types of bonds besides covalent ones, including ionic and metallic bonds.

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how many br- ions are present in 1.00 moles of febr3?

Answers

The chemical formula for ferric ion (Fe3+) is Fe(III) or Fe3+. To calculate the number of ions contained in a given quantity of a material, multiply the number of moles by FeBr3 Avogadro's number.

There would be 1.00 x Avogadro's number of Fe(III) ions in 1.00 mole of Fe(III) (FeBr3). The value of Avogadro's number is 6.022 x 1023 atoms or ions per mole. So there are roughly 6.022 x 1023 Fe(III) ions in 1.00 mole of FeBr3. Although commercially accessible at a low cost, FeBr3 may be made by treating iron metal with bromine:2 Fe+3 Br2 2 FeBr3 FeBr3 decomposes to ferrous bromide over 200 °C: 2FeBr3 + Br2 = 2FeBr2 + Br2 Because chlorine has a higher oxidizing activity, iron(III) chloride is much more stable. FeI3 is unstable because iron(III) oxidizes.For every mole of iron (III) bromide, which has the formula FeBr3 F e B r 3, three moles of bromide ions are present. The chemical compound with the formula FeBr3 is iron(III) bromide.

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If a sample of metal has a
mass of 45.9g and occupies
a volume of 17.0 mL. What
is the metal if:
Copper-8.96 g/cm³
Aluminum = 2.70 g/cm³
Iron = 7.86 g/cm³

Answers

The identity of the metal that has a mass of 45.9g and volume or 17.0mL is aluminium (2.7g/mL) (option B).

How to calculate density?

Density is the measure of the mass of matter contained by a unit volume. The density of a substance can be calculated using the following formula;

Density = mass ÷ volume

According to this question, if a sample of metal has a mass of 45.9g and occupies a volume of 17.0 mL, the density can be calculated as follows:

Density = 45.9g ÷ 17.0mL

Density = 2.7g/mL

Therefore, the identity of the metal is aluminium with a density of 2.7g/mL.

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calculate the separation r in nanometers beyond which the inter- action energy between a barium ion and a bromide ion falls below kt at room temperature in a vacuum.

Answers

At room temperature in a vacuum, the distance r in nanometers beyond which the interaction energy between a barium ion and a bromide ion drops below kt is 334400 nm.

The electrostatic force between two charges is expressed mathematically as, [tex]F_e=k\frac{Q_1\times Q_2}{r^2}[/tex] where Q₁ and Q₂ represent the charges, r represents the distance between the charges, and k (9×10⁹ Nm²/C²) represents the Coulombs constant.

Also, charge on Barium,

[tex]\begin{aligned}Q_1&=+2p\\&= \mathrm{2\times1.6\times10^{-19}\;C}\\&= \mathrm{3.2\times10^{-19}\;C}\end{aligned}[/tex]

The charge on Bromide ion,

[tex]\begin{aligned}Q_2&=-1p\\&= \mathrm{-1\times1.6\times10^{-19}\; C} \\&= \mathrm{-1.6\times10^{-19}\; C}\end{aligned}[/tex]

Then,

[tex]\begin{aligned} F_e&=\frac{(9\times10^9\times 3.2\times10^{-19}\times1.6\times10^{-19})}{r^2}\\&= \frac{(46\times10^{-29})}{r^2}\end{aligned}[/tex]

Also, F= kT where k represents the Boltzmann constant and T represents the room temperature (298 K).

Then,

[tex]\begin{aligned}F&=\mathrm{1.38\times10^{-23}\;J/K\times298\;K}\\&=\mathrm{41.124\times 10^{-22}\; J}\end{aligned}[/tex]

Solving both forces,

[tex]\begin{aligned}\frac{46\times10^{-29}}{r^2}& = 41.124 \times 10^{-22}\\r^2&=\frac{46\times10^{-29}}{41.124 \times 10^{-22}}\\&=1.1185\times10^{-7}\\r&=\mathrm{3.344\times10^{-4}\;m}\\&=\mathrm{334400\;nm}\end{aligned}[/tex]

The required answer in nanometers is 334400 nm.

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