Find the theoretical density of SiC from the radius of the atom given below. (Hint) SiC is a Zinc blend structure, and the distance between Si and C is 1/4 of the length of the unit lattice volume diagonal 1pm=1×10∧−12 m=1×10∧−10 cm
r(Si)=118pm,r(C)=71pm. Atomic Weight (Si)=28.09 g/mol, Atomic Weight (C)=12 g/mol)

Answers

Answer 1

The theoretical density of SiC from the radius of the atom given below is given as follows.

A ZnS-type (Zinc blend structure) is a binary crystal structure in which the two atom types are regularly spaced on the lattice points of a face-centered cubic (fcc) lattice. This means that each of the two atom types occupies half of the tetrahedral sites, resulting in a tetrahedral arrangement of the other type of atom.

The diagonal length of the unit lattice volume is four times the radius of the zinc-blende atom. Let's calculate it first;

r(Si) = 118 pm

= 1.18 × 10⁻⁹m

= 1.18 × 10⁻⁷cm r (C)

= 71 pm

= 7.1 × 10⁻¹⁰m

= 7.1 × 10⁻⁸cm

Atomic Weight (Si) = 28.09 g/mol, Atomic Weight (C) = 12 g/mol.

The lattice volume can be calculated from the distance between the Si and C atoms, which is 1/4 of the length of the unit lattice volume diagonal.

Volume of the unit cell = a³, where a = 4r / √2where, r = radius of the Si or C atoms. Now, a = 4r / √2 = (4 × 118 pm)/ √2 = 235 pm

= 2.35 × 10⁻⁸ m

= 2.35 × 10⁻⁶ cm.

The volume of the unit cell = a³ = (2.35 × 10⁻⁶)³ cm³ = 1.64 × 10⁻¹⁷cm³In a unit cell, there are four atoms: two Si atoms and two C atoms. The total volume of the atoms in the unit cell is given by (2 × volume of the Si atom) + (2 × volume of the C atom).

Volume of the Si atom = (4/3)πr³= (4/3)π(118pm)³= 6.36 × 10⁻²⁹cm³

Volume of the C atom = (4/3)πr³= (4/3)π(71pm)³= 1.95 × 10⁻²⁹cm³.

So, the total volume of the atoms in the unit cell is (2 × 6.36 × 10⁻²⁹cm³) + (2 × 1.95 × 10⁻²⁹cm³) = 16.14 × 10⁻²⁹cm³. Therefore, the theoretical density of SiC can be calculated as the ratio of the total mass of the atoms to the total volume of the atoms in the unit cell.

The total mass of the atoms in the unit cell = (2 × atomic weight of Si) + (2 × atomic weight of C)

= (2 × 28.09 g/mol) + (2 × 12 g/mol)

= 80.18 g/mol

Density = mass/volume

= 80.18 g/mol / (16.14 × 10⁻²⁹cm³)

= 4.96 g/cm³.

Therefore, the theoretical density of SiC is 4.96 g/cm³.

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Related Questions

A well-insulated storage tank of 60 m
3
contains 200 L of liquid water at 75

C. The rest of the tank contains steam in equilibrium with the water. Spent process steam at 2 bar and 90 percent quality enters the storage tank until the pressure in the tank reaches 2 bar. Assuming that the heat losses from the system to the tank and the environment are negligible, calculate the total amount of steam that enters the tank during the filling process and the fraction of liquid water present at the end of the process.

Answers

To calculate the total amount of steam that enters the tank during the filling process, we need to determine the initial and final masses of water in the tank.

Given:

Volume of the tank (V) = 60 m^3

Initial volume of liquid water (V_water) = 200 L

= 0.2 m^3

Initial temperature of water (T_water) = 75 °C

Pressure of spent process steam (P_spent) = 2 bar

Quality of spent process steam (x_spent) = 90%

= 0.9

To find the initial mass of water (m_water), we can use the density of water at the initial temperature:

ρ_water = 1000 kg/m^3 (density of water at 75 °C)

m_water = ρ_water * V_water

To find the final mass of water (m_final), we can use the principle of conservation of mass:

m_final = m_water + m_steam

Since the steam in the tank is in equilibrium with the water, the pressure of the tank (P_tank) is equal to the pressure of the spent process steam (P_spent). We can use steam tables to find the corresponding enthalpy values.

Next, we can use the quality (x) to determine the amount of steam and the amount of water present in the tank at the final pressure (P_tank). The total mass of steam (m_steam) is then calculated as:

m_steam = x * m_final

Finally, to determine the fraction of liquid water present at the end of the process, we can use the specific volume (v) of the steam and the volume of the tank:

V_steam = (1 - x) * V_tank

V_water_final = V_tank - V_steam

The fraction of liquid water (f_water) is then given by:

f_water = V_water_final / V_tank

By following these steps and using the given data, you can calculate the total amount of steam that enters the tank during the filling process and the fraction of liquid water present at the end. Please note that specific enthalpy values from steam tables and further calculations are required to obtain the precise values.

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Write the molecular, ionic, and net ionic equations for the reaction of aqueous HBr and aqueous Ba(OH)2.

Answers

The reaction between aqueous HBr (hydrobromic acid) and aqueous Ba(OH)2 (barium hydroxide) can be represented by the following balanced molecular equation:

2 HBr(aq) + Ba(OH)2(aq) → 2 H2O(l) + BaBr2(aq)

This equation shows the reactants and products in their complete molecular form.

To write the ionic equation, we need to separate the soluble compounds into their respective ions:

2 H+(aq) + 2 Br-(aq) + Ba2+(aq) + 2 OH-(aq) → 2 H2O(l) + Ba2+(aq) + 2 Br-(aq)

In this ionic equation, the soluble compounds dissociate into their constituent ions.

Now, let's write the net ionic equation by removing the spectator ions (ions that appear on both sides of the equation and do not participate in the reaction):

2 H+(aq) + 2 OH-(aq) → 2 H2O(l)

In the net ionic equation, we can see that the H+(aq) ions from HBr and the OH-(aq) ions from Ba(OH)2 react to form water molecules.

Therefore, the molecular equation is:

2 HBr(aq) + Ba(OH)2(aq) → 2 H2O(l) + BaBr2(aq)

The ionic equation is:

2 H+(aq) + 2 Br-(aq) + Ba2+(aq) + 2 OH-(aq) → 2 H2O(l) + Ba2+(aq) + 2 Br-(aq)

The net ionic equation is:

2 H+(aq) + 2 OH-(aq) → 2 H2O(l)

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What is/are the principal product(s) formed when excess methylmagnesium iodide reacts with p-hydroxyacetophenone? 1 A) I B) II C) III D) IV E) V 10. The LUMO of 1,3-butadiene has how many electrons in its ground state? A) 1 B) 2 C) 3 D) 4 E) 0

Answers

According to the Grignard reaction, The principal product is CH3-CO-C6H4-OCH3 (Tertiary alcohol). Thus, the correct option is E. The LUMO of 1,3-butadiene has 0 electrons, and the correct option is E.

1. When excess methylmagnesium iodide (CH3MgI) reacts with p-hydroxyacetophenone, it undergoes a Grignard reaction. The principal product formed in this reaction is a tertiary alcohol.

The structure of p-hydroxyacetophenone is:

CH3-CO-C6H4-OH

The methylmagnesium iodide (CH3MgI) will add to the carbonyl carbon (C=O) of p-hydroxyacetophenone, followed by protonation to give the tertiary alcohol.

The principal product formed in this reaction is:

CH3-CO-C6H4-OCH3 (Tertiary alcohol)

Therefore, the answer is E) V.

2. The LUMO (lowest unoccupied molecular orbital) of 1,3-butadiene refers to the orbital that can accept electrons during a chemical reaction.

In the ground state of 1,3-butadiene, there are a total of 4 π-electrons spread across the four carbon atoms in the conjugated system.

Since each electron occupies a separate molecular orbital, the LUMO of 1,3-butadiene will be empty in the ground state.

Therefore, the answer is E) 0.

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Calculate the volume in liters of a 0.998 mol/L potassium iodide solution that contains 200.g of potassium iodide (KI) Round your answer to 3 significant digits.

Answers

The volume of the potassium iodide solution is 0.382 L.

The volume, in liters, of a 0.998 mol/L potassium iodide solution that contains 200 g of potassium iodide (KI) is 0.382 L (rounded to 3 significant digits).

The molar mass of potassium iodide (KI) is calculated by adding the atomic masses of its constituent elements: 39.0983 (potassium) + 126.90447 (iodine) = 166.00277 g/mol.

To determine the number of moles of potassium iodide, divide the given mass by the molar mass:

Number of moles of potassium iodide (KI) = mass / molar mass = 200 g / 166.00277 g/mol = 1.2019 mol.

The volume of the solution, in liters, can be calculated by dividing the number of moles of solute by the concentration of the solution:

Volume of solution in liters = number of moles of solute / concentration of the solution = 1.2019 mol / 0.998 mol/L = 1.204 L.

Rounding to three significant figures, the volume of the potassium iodide solution is 0.382 L.

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For the GaAs crystal find the three other nearest arsenic atoms to the cited gallium atom.

Answers

In a zincblende crystal structure, the four nearest neighbors to an atom are called tetrahedral coordination partners. As an example, the three nearest arsenic atoms to a gallium atom in a GaAs crystal are listed below.

To begin, we must determine the location of the gallium atom and then locate its nearest arsenic atoms. The following information is included in the problem statement:

GaAs is the crystal structure.

In this structure, gallium is mentioned as the referenced atom.

The nearest three arsenic atoms should be found.

We know that GaAs is a zincblende crystal, which means it is a combination of two FCC lattices, one with gallium atoms at the corners and one with arsenic atoms at the corners. As a result, Ga atoms are surrounded by four As atoms in a tetrahedral shape, and As atoms are surrounded by four Ga atoms in a tetrahedral shape.

The As atoms and Ga atoms are on alternating layers in the crystal as a result of this. The result of these coordination relationships is shown in the figure.

The four tetrahedrally closest As atoms to a Ga atom in a zincblende GaAs crystal are displayed in the figure.

As we can see from the image, the four nearest arsenic atoms to the gallium atom are located in the four corners of a tetrahedron. Therefore, we can name the three nearest arsenic atoms to the gallium atom as As1, As2, and As3 based on the above diagram.

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what is the formula for the acetate polyatomic ion?

Answers

The formula for the acetate polyatomic ion is C₂H₃O₂⁻. The acetate ion is composed of two carbon atoms (C), three hydrogen atoms (H), and two oxygen atoms (O).

It carries a negative charge of -1, indicated by the superscript - on the right side of the chemical formula.

The acetate ion is commonly found in compounds such as sodium acetate (NaC₂H₃O₂) or calcium acetate (Ca(C₂H₃O₂)₂). It is also the conjugate base of acetic acid (CH₃COOH), a weak acid commonly found in vinegar.

The formula C₂H₃O₂ represents the ratio of atoms in the acetate ion, and the superscript - indicates the presence of one additional electron, giving the ion a net negative charge.

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Which one of the following is not an organic compound?
A. Methane b. Carbon dioxide c. Oil d. Lactic acid

Answers

The compound that is not an organic compound among the options provided is b. Carbon dioxide (CO2).

Organic compounds are compounds that contain carbon atoms bonded to hydrogen atoms, often in combination with other elements such as oxygen, nitrogen, sulfur, and more. They typically exhibit properties associated with living organisms and are the basis of organic chemistry.

In the given options:

a. Methane (CH4) is an organic compound. It consists of one carbon atom bonded to four hydrogen atoms.

c. Oil is a broad term used to describe a range of organic compounds, including hydrocarbons. Hydrocarbons are organic compounds composed of carbon and hydrogen atoms.

d. Lactic acid (C3H6O3) is also an organic compound. It contains carbon, hydrogen, and oxygen atoms.

However, option b. Carbon dioxide (CO2) is not an organic compound. Although it contains carbon, it does not have carbon-hydrogen (C-H) bonds. Instead, it consists of one carbon atom double-bonded to two oxygen atoms. Carbon dioxide is considered an inorganic compound.

Therefore, the correct answer is b. Carbon dioxide.

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Describe the mixture right after the hot potassium oxalate solution was added to the iron(III) chloride hexahydrate. b) What was the color of the solution after all of the iron(III) chloride was finally dissolved? 2. Was all of the potassium oxalate transferred out of the 100 mL beaker? What was the evidence that 5upports your answer? 3. Did 100% of the product erystallize out in the two crystallization steps? What was the evidence that supports your answer? 4. How many grams of iron(III) chloride hexahydrate should be used in a reaction with 2.000 grams of potassium oxalate monohydrate so that neither substance would be the limiting reactant? (Show your calculation.)

Answers

1. The mixture likely turned dark brown or black. Right after the hot potassium oxalate solution was added to the iron(III) chloride hexahydrate, the mixture likely turned a dark brown or black color. This color change indicates the formation of a precipitate, possibly iron(III) oxalate.

2. The color of the solution may vary depending on the reaction and presence of impurities.  The color of the solution after all of the iron(III) chloride was finally dissolved would depend on the specific reaction and the presence of any other compounds. If the iron(III) chloride reacts completely and forms a clear solution, the color may be transparent or light in color. However, if there are other compounds or impurities present, the color of the solution may vary.

3. Not all of the product likely crystallized out due to the presence of impurities or residual substances.  It is unlikely that 100% of the product crystallized out in the two crystallization steps. This can be supported by the presence of impurities or residual substances in the final product. If the product obtained is not pure or if there are impurities visible, it suggests that not all of the product crystallized out.

4. Calculation of the required mass of iron(III) chloride hexahydrate is needed to ensure neither substance is limiting. To determine the amount of iron(III) chloride hexahydrate needed in order for neither substance to be the limiting reactant, the stoichiometry of the reaction needs to be considered. The balanced equation for the reaction between iron(III) chloride hexahydrate and potassium oxalate monohydrate is required. With the molar masses of both compounds, the stoichiometric ratio can be determined, allowing for the calculation of the required mass of iron(III) chloride hexahydrate.

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Which particle is indicated by the arrow?
1) electron
2) proton
3) atom
4) neuron

Answers

The particle is indicated by the arrow is proton.

A proton is a subatomic particle with a positive charge. It is one of the fundamental particles that make up an atom. Protons are located in the nucleus of an atom and contribute to its positive charge. They have a mass of approximately 1 atomic mass unit (u) and are crucial for determining the element and atomic number of an atom.

In an atom, the number of protons defines the element, while the number of neutrons and electrons can vary. Protons play a significant role in chemical reactions and interactions between atoms. Identifying the particle indicated by the arrow as a proton suggests that the focus is on understanding properties, behavior, or interactions specific to this positively charged subatomic particle.

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issed this? watch kcv: atomic theory; read section 2.3. you can click on the review link to access the section in your etext. carbon and oxygen form both carbon monoxide and carbon dioxide. when samples of these are decomposed, the carbon monoxide produces 3.36 g of oxygen and 2.52 g of carbon, while the carbon dioxide produces 9.92 g of oxygen and 3.72 g of carbon.

Answers

The atomic ratio of carbon to oxygen in carbon monoxide (CO) is 1:1, and the atomic ratio of carbon to oxygen in carbon dioxide (CO₂) is 2:1.

Firstly, we can analyze the decomposition of carbon monoxide (CO) and carbon dioxide (CO₂) to determine the atomic ratios involved.

Let's denote the atomic ratio of carbon to oxygen in carbon monoxide as x, and the atomic ratio of carbon to oxygen in carbon dioxide as y.

According to the given data;

Decomposition of carbon monoxide (CO);

Oxygen produced = 3.36 g

Carbon produced = 2.52 g

We know that the atomic mass of carbon is 12 g/mol, and the atomic mass of oxygen is 16 g/mol. Using these values, we can calculate the number of moles for each element;

Number of moles of oxygen = mass / atomic mass = 3.36 g / 16 g/mol

= 0.21 mol

Number of moles of carbon = mass / atomic mass = 2.52 g / 12 g/mol

= 0.21 mol

Since the atomic ratio of carbon to oxygen in carbon monoxide is x, we can write the following equation;

0.21 mol C / (0.21 mol O) = x

Simplifying the equation, we get;

x = 1

Therefore, the atomic ratio of carbon to oxygen in carbon monoxide is 1:1.

Decomposition of carbon dioxide (CO₂);

Oxygen produced = 9.92 g

Carbon produced = 3.72 g

Following the same calculations as before;

Number of moles of oxygen = mass / atomic mass = 9.92 g / 16 g/mol

= 0.62 mol

Number of moles of carbon = mass / atomic mass = 3.72 g / 12 g/mol

= 0.31 mol

Since the atomic ratio of carbon to oxygen in carbon dioxide is y, we can write the following equation;

0.31 mol C / (0.62 mol O) = y

Simplifying the equation, we have;

y = 0.5

Therefore, the atomic ratio of carbon to oxygen in carbon dioxide is 1:0.5, which can be simplified to 2:1.

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--The given question is incomplete, the complete question is

"Missed this? watch kcv: atomic theory; read section 2.3. you can click on the review link to access the section in your text. carbon and oxygen form both carbon monoxide and carbon dioxide. when samples of these are decomposed, the carbon monoxide produces 3.36 g of oxygen and 2.52 g of carbon, while the carbon dioxide produces 9.92 g of oxygen and 3.72 g of carbon. Calculate the atomic ratio of carbon to oxygen in carbon monoxide, and carbon dioxide."--

A schemi for the removal of H 2 S from a gas stream of 45 mole/mirt by scrubbing with pure water at 293 K and 1.013×10 s . Pa is being considered. The pas init needed. The equifibrium of H 2 S-water will obey Henry's law according to the followind relationship:yiza?

Answers

To remove H₂S from a gas stream using water scrubbing, Henry's law can be used to estimate the required partial pressure of H₂S in the gas stream based on the desired concentration in the water. The concentration is proportional to the partial pressure according to the Henry's law constant.

To remove H₂S from a gas stream using scrubbing with pure water, you can rely on Henry's law to estimate the amount of H₂S that will dissolve in the water. Henry's law states that the concentration of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid.

The equilibrium relationship between H₂S and water can be expressed using Henry's law as follows:

C = K_H * P

Where:

C is the concentration of H₂S in the water (in mol/L)

K_H is the Henry's law constant for H₂S in water (in units of mol/(L·Pa))

P is the partial pressure of H₂S in the gas stream (in Pa)

To determine the partial pressure of H₂S needed to achieve a desired concentration in the water, you'll need to know the Henry's law constant for H₂S in water at the given temperature.

Let's assume the Henry's law constant for H₂S in water at 293 K is K_H = 1.0 × 10⁴ mol/(L·Pa). This value is just for demonstration purposes and may not reflect the actual constant.

Now, let's say you want to achieve a concentration of 0.5 mol/L of H₂S in the water. You can rearrange the equation to solve for the partial pressure (P):

P = C / K_H

Substituting the values, we have:

P = 0.5 mol/L / (1.0 × 10⁴ mol/(L·Pa))

P = 5.0 × 10⁻⁵ Pa

Therefore, to achieve a concentration of 0.5 mol/L of H₂S in the water, you would need a partial pressure of approximately 5.0 × 10⁻⁵ Pa in the gas stream.

Please note that the actual value of the Henry's law constant and the calculations depend on the specific conditions and properties of H₂S and water at the given temperature.

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For each of the following compounds: 1. Draw the Lewis structure. 2. Show how the bond dipole moments (and those of any nonbonding pairs of electrons) contribute to the molecular dipole moment. 3. Predict whether the compound has a large ( >1D), small, or zero dipole moment. (a) CH
2

Cl
2

(d) CH
3

OH (b) CH
3

F (c) CF
4

(g) CH
3

CHO (e) O
3

(f) HCN (j) CH
2

=CHCl (h) H
2

C=NH (i) (CH
3

)
3

N (m) NH
4


(k) BF
3

(l) BeCl
2

Answers

(a) CH 4 (g):Lewis structure: In the Lewis structure of CH4, Carbon is at the center, and it shares a single bond with four hydrogen atoms around it. Each of the hydrogen atoms shares its single electron with Carbon.

Since Carbon has four valence electrons, all four bonds are satisfied with a total of 8 valence electrons in the structure.Bond dipole moments: All four bonds are polar because of the electronegativity difference between Carbon and Hydrogen, resulting in a tetrahedral molecular structure.

However, since all bond dipole moments cancel each other out because they are directed to the opposite corners of the molecule, the dipole moment of CH4 is zero.Prediction: CH4 has zero dipole moment due to the cancelation of bond dipole moments.BeCl 2

(g):Lewis structure: In the Lewis structure of BeCl2, Beryllium is at the center, sharing a single bond with two chlorine atoms. Both Chlorine atoms share their three electrons with the Beryllium atom, fulfilling both of their valence electrons requirements.

Bond dipole moments: Both bond dipole moments are polar because of the difference in electronegativity between Beryllium and Chlorine, resulting in a linear molecular structure.

Since there are no non-bonding electrons, the molecular dipole moment of BeCl2 is the vector sum of both bond dipole moments and is non-zero.Prediction: BeCl2 has a small dipole moment since there are only two polar bonds and the molecule is linear.

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Specify which of the following are oxidation-reduction reactions, and if it is, identify the oxidizing agent, the reducing agent, the substance being oxidized, and the substance being reduced. If it is not, select No and leave the following boxes blank. Express your answers as a chemical formulas. Omit states-of-matter. a. 4CH
4

(g)+3O
2

(g)→2C
2

H
2

(g)+6H
2

O(g) Redox? Oxidizing Agent Reducing Agent Substance Oxidized Substance Reduced b. 2AgNO
3

(aq)+Cu(s)→Cu(NO
3

)
2

(aq)+2Ag(s) Redox? Oxidizing Agent Reducing Agent Substance Oxidized Substance Reduced c. Ca(s)+2HCl(aq)→CaCl
2

(aq)+H
2

(g) Redox? Oxidizing Agent Reducing Agent Substance Oxidized Substance Reduced d. 2H
+
(aq)+2CrO
4
2−

(aq)→Cr
2

O
7
2−

(aq)+H
2

O(l) Redox? Oxidizing Agent Reducing Agent Substance Oxidized Substance Reduced Balance the following oxidation-reduction reactions that occur in acidic solution using the half-reaction method. (Use the lowest possible coefficients. Be sure to specify states such as (aq) or (s). If a box is not needed, leave it blank. Add H
2

O or H
+
to any side of the reaction if it is needed.) a. I

(aq)+ClO

(aq)→I
3


(aq)+Cl

(aq) 10 item attempts remaining

Answers

a. Redox:- Yes; Oxidizing Agent: O2(g), Reducing Agent: CH4(g), Substance Oxidized: CH4(g), Substance Reduced: O2(g) b. Redox:- Yes; Oxidizing Agent: AgNO3(aq), Reducing Agent: Cu(s), Substance Oxidized: Cu(s), Substance Reduced: AgNO3(aq).

a. Redox? Yes

Oxidizing Agent: O2(g)

Reducing Agent: CH4(g)

Substance Oxidized: CH4(g)

Substance Reduced: O2(g)

b. Redox? Yes

Oxidizing Agent: AgNO3(aq)

Reducing Agent: Cu(s)

Substance Oxidized: Cu(s)

Substance Reduced: AgNO3(aq)

c. Redox? No

d. Redox? Yes

Oxidizing Agent: CrO4^2-(aq)

Reducing Agent: H+(aq)

Substance Oxidized: H+(aq)

Substance Reduced: CrO4^2-(aq)

Balance the following oxidation-reduction reactions that occur in acidic solution using the half-reaction method:

a. I-(aq) + ClO-(aq) → I3-(aq) + Cl-(aq)

I-(aq) + 6H+(aq) + ClO-(aq) → I3-(aq) + 3H2O(l) + Cl-(aq).

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which of the followings solutions has a greater range of temperatures that the solvent will stay in the liquid phase, assuming ideal behavior? 1 molal of alcl3 (aq) 2 molal of kcl (aq) which of the followings solutions has a greater range of temperatures that the solvent will stay in the liquid phase, assuming ideal behavior? 1 molal of alcl3 (aq) 2 molal of kcl (aq) alcl3 kcl they are the same cannot be determined

Answers

The solution with 1 molal of AlCl₃ (aq) has a greater range of temperatures that the solvent will stay in the liquid phase, assuming ideal behavior.

The range of temperatures at which a solvent remains in the liquid phase is determined by its boiling point and the presence of solute particles. In an ideal solution, the presence of solute particles does not significantly affect the boiling point of the solvent.

AlCl₃ is a compound that dissociates into ions when dissolved in water, resulting in more particles in the solution. This increased number of particles leads to a phenomenon called colligative properties, where the boiling point of the solution is elevated compared to the pure solvent.

On the other hand, KCl also dissociates into ions when dissolved in water, but the concentration in the given solution (2 molal) is higher. Since the number of solute particles is higher in the 2 molal KCl solution, the boiling point elevation will be greater compared to the 1 molal AlCl₃ solution.

Therefore, the solution with 1 molal of AlCl₃ (aq) has a greater range of temperatures that the solvent will stay in the liquid phase, assuming ideal behavior.

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Q2) in the reading of the Flame Photometry is 20mg Sodium Per litre, Calculate the CEC ( meq per 100 g ) Provided that the weight of soil (on oven dry basis ) is 4g.? A-1.72 B-2.17 C-2.21 D-3 Q3) what is the saturation if the gravimetric water content is 5 percent 110ml of distilled water saturated 300 g air dry soil ..? A-43.5 percent B-66.2 percent C-37.4 percent D-51.6 percent Q4) what is the TDS of a solution that contents 7 meq per litre of cations..? A-448 g per litre B-448 mg per litre C- 640mg per litre D-800 mg per litre Q5) you can predict the number of samples you have to take to obtain a certain level of precision with a certain level of confidence by using ..? A-Mean B-mean and vanance C- Mean and Standard deviations D-degrees of freedom

Answers

Mean, variance, and standard deviation are statistical measures used to describe the central tendency and spread of data, but they do not directly determine the number of samples needed for a specific level.

To calculate the CEC (Cation Exchange Capacity) in meq per 100 g, we need to convert the given sodium concentration from mg/L to meq per 100 g.

Given:

Sodium concentration = 20 mg/L

Weight of soil (on oven dry basis) = 4 g

First, we convert the sodium concentration from mg/L to meq/L:

1 meq = 1 mg of equivalent weight of the ion

The equivalent weight of sodium is 23 g/mol.

Converting mg/L to moles/L:

20 mg/L * (1 mol/23 g) = 0.87 mmol/L

Now, we calculate the CEC in meq per 100 g:

CEC = (0.87 mmol/L) * (1000 mL/L) * (4 g/100 g)

= 34.8 meq/100 g

Therefore, the CEC is approximately 34.8 meq per 100 g.

To calculate the saturation, we need to know the total porosity of the soil. Unfortunately, the provided information does not include the total porosity.

The Total Dissolved Solids (TDS) of a solution can be calculated by multiplying the concentration of cations (meq/L) by their respective equivalent weights and then converting to the desired unit.

Given:

Cation concentration = 7 meq/L

To convert meq/L to mg/L:

1 meq = equivalent weight in mg

The equivalent weight depends on the specific cation in the solution.

Since the equivalent weight is not provided, we cannot determine the TDS without additional information.

Q5) To predict the number of samples required to obtain a certain level of precision with a certain level of confidence, we typically use statistical methods such as hypothesis testing and confidence intervals.

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Give the chemical symbol for the element with the ground state electronic configuration {Ar}4s23d1. Determine the quantum numbers n and ℓ and select all possible values for m


for each subshell of the element. 45n= 48f= The possible values of m for the 4s subshell are
−2,−1,0+1
+

+2
−1,0,+1

−3,−2,−1,0,+1,+2,+3 incorrect The possible values of m
e

for the 3d subshell are
−2,−1,0,+1,+2
−3,−2,−1,0,+1,+2,+3

0 −1,0,+1

Answers

The ground state electronic configuration refers to the arrangement of electrons in an atom's or ion's lowest energy level or orbital configuration.

It represents the distribution of electrons in their lowest energy states within the atom.

The element with the ground state electronic configuration {Ar}4s²3d¹ is Scandium (Sc).

For the 4s subshell, the quantum number n is 4 and ℓ is 0, indicating an s subshell. The possible values of mℓ for the 4s subshell are -1, 0, and 1, as the s subshell has one orbital.

For the 3d subshell, the quantum number n is 3 and ℓ is 2, representing a d subshell. The possible values of mℓ for the 3d subshell are -2, -1, 0, 1, and 2, corresponding to the five d orbitals.

These values of mℓ describe the orientation of the orbital in three-dimensional space.

Therefore, for the 4s subshell, the possible values of m are -1, 0, and 1, and for the 3d subshell, the possible values of m are -2, -1, 0, 1, and 2.

Hence, Scandium (Sc) is the element with ground state electronic configuration.

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O2 gas at −70 degrees Celsius is put under 1000mmHg pressure. The result is gas becomes liquid gas becomes liquid and solid no change of state occurs gas becomes solid

Answers

The specific conditions mentioned (temperature and pressure) are not sufficient to definitively determine the behavior of O2 gas without additional information about the critical properties and phase diagram of oxygen.

The information provided states that O2 gas at -70 degrees Celsius is put under 1000 mmHg pressure, and you have mentioned three different outcomes. Let's examine each scenario:

Gas becomes liquid: At a sufficiently low temperature and high pressure, oxygen gas (O2) can condense into a liquid state. This typically occurs below the critical temperature and above the critical pressure for a given substance.

Gas becomes liquid and solid: This scenario suggests that the oxygen gas not only condenses into a liquid state but also undergoes further cooling to form a solid state. Under extreme conditions of low temperature and high pressure, some gases can bypass the liquid phase and directly transform into a solid through a process known as deposition or solidification.

No change of state occurs: This outcome implies that the oxygen gas remains in its gaseous state even under the given conditions of -70 degrees Celsius and 1000 mmHg pressure. Oxygen can exist as a gas at low temperatures, and if the pressure is not high enough to induce condensation or solidification, it would remain in the gas phase.

It's important to note that the phase behavior of a substance depends on various factors such as temperature, pressure, and intermolecular forces.

The specific conditions mentioned (temperature and pressure) are not sufficient to definitively determine the behavior of O2 gas without additional information about the critical properties and phase diagram of oxygen.

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When the following equation is balanced properly under acidic conditions, what are the coefficients of the species shown? Ag+ + Sn— Ag + Sn2+ (reactant, product, neither) with a Water appears in the balanced equation as a coefficient of (Enter 0 for neither.) How many electrons are transferred in this reaction? When the following skeletal equation is balanced under basic conditions, what are the coefficients of the species shown? DY Br03 + PH3 —— Br2+ P (reactant, product, neither) with a Water appears in the balanced equation as a coefficient of .(Enter 0 for neither.) Which species is the reducing agent?

Answers

We need to identify the species that gets oxidized (loses electrons). In this reaction, phosphorus (P) goes from an oxidation state of -3 in PH3 to an oxidation state of 0 in the product P. Therefore, phosphorus (P) is the reducing agent.

To balance the equation Ag+ + Sn— Ag + Sn2+ under acidic conditions, we can follow these steps:

Balance all atoms except hydrogen and oxygen. In this case, we only have silver (Ag) and tin (Sn) atoms to balance. Since there is one Ag atom on each side, we can consider it balanced. For tin, we have one Sn atom on the reactant side and one Sn2+ ion on the product side. Thus, we also consider the tin balanced.

Balance oxygen atoms by adding water (H2O) molecules to the side that needs additional oxygen. In this case, no water molecules are needed since there are no oxygen atoms involved.

Balance hydrogen atoms by adding hydrogen ions (H+) to the side that needs additional hydrogen. Since the equation is under acidic conditions, we can add H+ ions. In this case, we need to add two H+ ions to the reactant side to balance the two negative charges of Sn—.

The balanced equation becomes:

2Ag+ + Sn— + 2H+ → 2Ag + Sn2+ + H2O

In this balanced equation, Ag+ and Sn— are reactants, Ag and Sn2+ are products, and water (H2O) appears as a coefficient of 0.

To determine the number of electrons transferred in this reaction, we can observe the change in oxidation states. The oxidation state of Ag goes from +1 to 0 (reduction), and the oxidation state of Sn goes from -1 to +2 (oxidation). This means that two electrons are transferred during the reaction.

Moving on to the second question, to balance the equation DY Br03 + PH3 —— Br2+ P under basic conditions, we can follow these steps:

Balance all atoms except hydrogen and oxygen. In this case, we have bromine (Br) and phosphorus (P) atoms to balance. We have one Br atom on each side, so bromine is balanced. For phosphorus, we have one P atom on the product side, so it is also balanced.

Balance oxygen atoms by adding water (H2O) molecules to the side that needs additional oxygen. In this case, we need three oxygen atoms on the reactant side to balance the three oxygen atoms in BrO3-. Thus, we can add three H2O molecules to the product side.

Balance hydrogen atoms by adding hydrogen ions (H+) to the side that needs additional hydrogen. Since the equation is under basic conditions, we can add OH- ions to neutralize the H+ ions. In this case, we need six OH- ions on the reactant side to balance the six H2O molecules on the product side.

The balanced equation becomes:

DY BrO3 + PH3 + 6OH- → Br2+ + P + 3H2O

In this balanced equation, DY BrO3 and PH3 are reactants, Br2+ and P are products, and water (H2O) appears as a coefficient of 3.

To determine the reducing agent, we need to identify the species that gets oxidized (loses electrons). In this reaction, phosphorus (P) goes from an oxidation state of -3 in PH3 to an oxidation state of 0 in the product P. Therefore, phosphorus (P) is the reducing agent.

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Classify each of the following reactions and balance the equations by entering the smallest possible integer coefficients. (a) ____ Pb(NO
3

)
2

(aq)+ ____CrBr
2

(aq)→ ____ PbBr
2

( s)+ ____ Cr(NO
3

)
2

(aq) Reaction Type: ____ (b) ____NH
4

____Cl(aq)→ ____ NH
3

(g)+ ____ HCl(aq)

Answers

a. The given reaction is a double replacement or metathesis reaction.

b. The given reaction is a decomposition reaction.

In the first reaction, which is a double replacement or metathesis reaction, lead(II) nitrate ([tex]Pb(NO_3)_2[/tex]) reacts with chromium(II) bromide ([tex]CrBr_2[/tex]) to form lead(II) bromide ([tex]PbBr_2[/tex]) and chromium(II) nitrate ([tex]Cr(NO_3)_2[/tex]). The balanced equation shows that 2 moles of [tex]Pb(NO_3)_2[/tex] react with 3 moles of [tex]CrBr_2[/tex] to produce 1 mole of [tex]PbBr_2[/tex] and 3 moles of [tex]Cr(NO)_3)_2.[/tex] This type of reaction involves the exchange of positive ions between two compounds.

In the second reaction, which is a decomposition reaction, ammonium chloride ([tex]NH_4Cl[/tex]) breaks down into ammonia gas ([tex]NH_3[/tex]) and hydrogen chloride (HCl). The balanced equation indicates that 1 mole of [tex]NH_4Cl[/tex] yields 1 mole of [tex]NH_3[/tex] and 1 mole of HCl. Decomposition reactions involve the breakdown of a single compound into two or more simpler substances.

These classifications and balanced equations help describe the types of reactions and provide a quantitative representation of the reactants and products involved.

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Electrochemistry #2

Predict the products of the following redox reactions:

Chlorine gas is bubbled into a potassium bromide solution.

A potassium dichromate solution is added to an acidic iron(II) nitrate solution.

Answers

1. Chlorine gas reacts with potassium bromide to form potassium chloride and molecular bromine.

2. Potassium dichromate reacts with acidic iron(II) nitrate to yield chromium(III) ions, iron(III) ions, water, potassium ions, and nitrate ions.

1. Chlorine gas is bubbled into a potassium bromide solution:

The redox reaction can be represented as follows:

Cl2(g) + 2KBr(aq) → 2KCl(aq) + Br2(aq)

Chlorine gas (Cl2) oxidizes bromide ions (Br-) to form molecular bromine (Br2), while chlorine is reduced to chloride ions (Cl-). The reaction occurs because chlorine is a stronger oxidizing agent than bromine.

2. A potassium dichromate solution is added to an acidic iron(II) nitrate solution:

The redox reaction can be represented as follows:

K2Cr2O7(aq) + 6Fe(NO3)2(aq) + 14H+(aq) → 2Cr3+(aq) + 6Fe3+(aq) + 7H2O(l) + 2K+(aq) + 14NO3-(aq)

Potassium dichromate (K2Cr2O7) acts as an oxidizing agent in the presence of acid. It oxidizes iron(II) ions (Fe2+) to iron(III) ions (Fe3+), while being reduced to chromium(III) ions (Cr3+). Water (H2O), potassium ions (K+), and nitrate ions (NO3-) are spectator ions in the reaction.

Overall, in redox reactions, one species undergoes oxidation (loses electrons) while another species undergoes reduction (gains electrons). The specific products of a redox reaction depend on the reactants and their respective oxidation states.

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How would you make a 25 mM NaOH solution using 0.2 mM EDTA. The total volume needed is 100 mL.

Answers

To make a 25 mM NaOH solution using 0.2 mM EDTA, dissolve 0.1 g of NaOH in 100 mL of water and add the desired volume of the EDTA solution.

To make a 25 mM NaOH solution using a 0.2 mM EDTA solution, the following steps can be followed:

1. Determine the desired final volume of the NaOH solution. In this case, it is 100 mL.

2. Calculate the amount of NaOH needed to achieve a concentration of 25 mM. The formula to calculate the amount of solute is:

  Amount of NaOH (in moles) = Concentration (in moles per liter) × Volume (in liters)

  The concentration is 25 mM, which is equivalent to 0.025 mol/L. The volume is 100 mL, which is equivalent to 0.1 L.

  Amount of NaOH = 0.025 mol/L × 0.1 L = 0.0025 mol

3. Convert the amount of NaOH from moles to grams using its molar mass. The molar mass of NaOH is approximately 40 g/mol.

  Mass of NaOH = 0.0025 mol × 40 g/mol = 0.1 g

4. Take 0.1 g of NaOH and dissolve it in sufficient water to make a total volume of 100 mL.

5. After preparing the NaOH solution, add the 0.2 mM EDTA solution to the NaOH solution. The volume of the EDTA solution added depends on the desired concentration and the volume of the final solution.

It is important to note that when preparing solutions, accurate measuring techniques and appropriate safety precautions should be followed.

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A chemist mixes sodium with water and witnesses a violent reaction between the metal and water. This is best classified as a theory a hypothesis O an observation a law cuola

Answers

This is an observation. An observation is the act of noting or perceiving an occurrence or phenomenon, and in this case, the chemist has witnessed a reaction between sodium and water. The observation is that the reaction is violent, which is an objective and measurable phenomenon. It is not a theory, which is a well-substantiated explanation for a set of observations or experimental results. It is also not a hypothesis, which is a proposed explanation for a phenomenon that can be tested through further observation or experimentation. Finally, it is not a law, which is a concise statement that describes a fundamental relationship or regularity observed in nature.

what does the formula below represent co2 h2o energy c6h12o6

Answers

The formula CO2 represents carbon dioxide, which is a molecule composed of one carbon atom bonded to two oxygen atoms.

Carbon dioxide is a gas and is a byproduct of various natural and human activities, including respiration and the combustion of fossil fuels.

H2O represents water, which is a molecule composed of two hydrogen atoms bonded to one oxygen atom. Water is a crucial compound for life and is essential for various biological processes.

The term "energy" represents a general concept referring to the capacity to do work or produce heat. In the context of the formula, it could indicate that energy is involved or released during a chemical reaction or a metabolic process.

C6H12O6 represents glucose, which is a carbohydrate and a primary source of energy in living organisms. Glucose is a molecule composed of six carbon atoms, twelve hydrogen atoms, and six oxygen atoms. It is commonly found in foods and serves as an important fuel for cellular respiration, providing energy for various biological processes in organisms.

In summary, the formula CO2 + H2O + energy + C6H12O6 could represent the process of photosynthesis, where carbon dioxide (CO2) and water (H2O) are converted into glucose (C6H12O6) with the help of energy, typically in the form of sunlight. This process occurs in plants and some other organisms, allowing them to produce glucose and release oxygen as a byproduct.

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If a 0.530 m aqueous solution freezes at −2.10

C, what is the van't Hoff factor, i, of the solute? Consult the table of K
f

values.

Answers

The van't Hoff factor is a measure of the number of particles that a solute dissociates into when it dissolves in a solvent. In this case, the van't Hoff factor of the solute is 1.73, which means that the solute dissociates into 1.73 particles when it dissolves in water.

The freezing point depression equation is:

Δ[tex]T_f[/tex] = [tex]K_f[/tex] * m * i

where:

Δ[tex]T_f[/tex] is the freezing point depression (in degrees Celsius)

[tex]K_f[/tex] is the molal freezing point depression constant (in degrees Celsius/molal)

m is the molality of the solution

i is the van't Hoff factor

We know that Δ[tex]T_f[/tex] = −2.10°C, [tex]K_f[/tex] for water is 1.86°C/molal, and m = 0.530 m. We want to find i.

(-2.10°C) = (1.86°C/molal) * (0.530 molal) * i

i = (-2.10°C) / (1.86°C/molal) * (0.530 molal)

i = 1.73

Therefore, the van't Hoff factor of the solute is 1.73.

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True or False. In general, for a hydrogel, finer the polymer
network forming the gel, greater is the probability of
transparency in the gel.

Answers

True. In general, for a hydrogel, a finer polymer network forming the gel increases the probability of transparency in the gel. Transparency in hydrogels is determined by the scattering of light.

The transparency of a hydrogel depends on the size of the polymer chains and the spacing between them. Finer polymer networks have smaller inter-chain distances, resulting in reduced light scattering. This allows light to pass through the hydrogel more easily, making it appear transparent.

On the other hand, hydrogels with larger polymer networks or larger mesh sizes tend to scatter light more, leading to increased opacity or turbidity. The larger spacing between polymer chains can cause light to interact with the polymer matrix, resulting in diffraction and scattering of light, which makes the hydrogel less transparent.

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Why do we add acid when extracting proteins from cannabis?

Answers

It's important to note that the specific acid used and the concentration depend on the desired extraction method and the properties of the target proteins. Commonly used acids include acetic acid, hydrochloric acid, or sulfuric acid. The acid concentration and extraction conditions should be optimized based on the specific requirements of the protein extraction process.

Acid extraction is commonly used when isolating proteins from plant materials, including cannabis. The addition of acid serves several important purposes in this process:

Protein Denaturation: Acidic conditions can cause the proteins in the cannabis plant to denature or unfold. Denaturation disrupts the protein's native structure, exposing hydrophobic regions and allowing for subsequent extraction.

Enzyme Inactivation: Acidic conditions can also help inactivate enzymes that may be present in the plant material. Enzymes can degrade proteins and interfere with the extraction process, so by adding acid, their activity is minimized or eliminated.

pH Adjustment: Cannabis plants typically have a slightly alkaline pH. Adding acid helps to adjust the pH of the extraction solution to a more acidic range. This acidic pH facilitates the extraction and solubility of proteins in the solvent used, improving the efficiency of protein recovery.

Precipitation: Acidic conditions can induce protein precipitation or coagulation, leading to the formation of a visible solid mass. This mass can be easily separated from the rest of the extract, aiding in the purification and concentration of the protein.

It's important to note that the specific acid used and the concentration depend on the desired extraction method and the properties of the target proteins. Commonly used acids include acetic acid, hydrochloric acid, or sulfuric acid. The acid concentration and extraction conditions should be optimized based on the specific requirements of the protein extraction process.

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ethanol is produced by the anaerobic fermentation of which substrate

Answers

Ethanol is produced by the anaerobic fermentation of sugars, particularly glucose. This process is commonly employed in the production of alcoholic beverages and biofuels.

The general equation for the fermentation of glucose to ethanol is as follows:

C6H12O6 (glucose) → 2 C2H5OH (ethanol) + 2 CO2 (carbon dioxide)

In this reaction, glucose is broken down by enzymes produced by microorganisms, and the resulting ethanol and carbon dioxide are the primary products. The process occurs under anaerobic conditions because the absence of oxygen is necessary for the fermentation process to take place.

It's important to note that while glucose is the most common substrate for ethanol fermentation, other sugar sources can also be utilized, including fructose, sucrose, and maltose. These sugars can be derived from various sources such as fruits, grains, or starchy materials.

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According to the
graph, what happens
to the concentration
of A2 over time?
Concentration (M)
Reaction: 2A=A₂
Time (sec)
A. It decreases and then levels out.
B. It decreases consistently.
C. It increases and then levels out.
D. It increases consistently.

Answers

Answer:

C, it increases and levels out

Explanation:

acellus confirmed

The pKa​ of a weak acid is 5.0. Calculate the pH of the buffer containing this acid, when the ratio of proton acceptor A′ to proton donor HA is equal to: a. 1.0 b. 0.1

Answers

The pKa​ of a weak acid is 5.0.

Given that the ratio of proton acceptor A′ to proton donor HA is equal to 1.0, the pH of the buffer containing this acid will be equal to 5.0.

pH calculation using the ratio of proton acceptor A′ to proton donor HA ratio:

Let's consider the dissociation reaction for the weak acid HA below:

HA + H₂O ⇔ A⁻ + H₃O⁺

Kw=[H₃O⁺][OH⁻]=1.0x10⁻¹⁴, [H₃O⁺]=[A⁻]

From the dissociation constant, Ka=[H₃O⁺][A⁻]/[HA]

Ka=[H₃O⁺][A⁻]/([HA]+[A⁻])

We know that, Ka=pKa + log([A⁻]/[HA])

pKa=-log Ka and we can rearrange the equation as below:

[A⁻]/[HA]=10^(pKa - pH)

Now, substitute the given values in the formula above to find the ratio [A′]/[HA]

a. For a ratio of proton acceptor A′ to proton donor HA = 1.0

pH=pKa-log([A⁻]/[HA])=5.0-log(1.0)=5.0

b. For a ratio of proton acceptor A′ to proton donor HA = 0.1

pH=pKa-log([A⁻]/[HA])=5.0-log(0.1)=6.0

Hence, the pH of the buffer containing this acid will be equal to 5.0 when the ratio of proton acceptor A′ to proton donor HA is equal to 1.0, and it will be equal to 6.0 when the ratio of proton acceptor A′ to proton donor HA is equal to 0.1.

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AlF
3

is an ionic compound while AlCl
3

is a covalent compound. i. Draw the Lewis structures of AlF
3

and AlCl
3

. ii. AlF
3

forms a dimer, Al
2

Cl
6

. Show the dative covalent bond in the dimer.

Answers

AlF3 is an ionic compound while AlCl3 is a covalent compound. The Lewis structures of AlF3 and AlCl3 are given below: (I) Lewis structure of AlF3: The central atom Al of AlF3 has 3 valence electrons, while each F has 7 valence electrons.

Therefore, the total number of valence electrons is 3 + 3 × 7 = 24.Valence electrons of AlF3 are placed around Al and F atoms as pairs so that they have 8 electrons in their valence shell. The Lewis structure of AlF3 is shown in the figure below: Image credit: en.wikipedia.org (ii) Lewis structure of AlCl3: The central atom Al of AlCl3 has 3 valence electrons, while each Cl has 7 valence electrons.

Therefore, the total number of valence electrons is 3 + 3 × 7 = 24.Valence electrons of AlCl3 are placed around Al and Cl atoms as pairs so that they have 8 electrons in their valence shell. The Lewis structure of AlCl3 is shown in the figure below: Image credit: en.wikipedia.orgAlF3 forms a dimer, Al2Cl6. Show the dative covalent bond in the dimer. Each Al atom in Al2Cl6 forms three single covalent bonds with three Cl atoms, whereas each Cl atom forms a single covalent bond with one Al atom and a dative covalent bond with the other Al atom.

The dative covalent bond is a bond in which both electrons are supplied by one atom. In the Al2Cl6 molecule, the dative covalent bond is formed by one of the Al atoms that share two of its valence electrons with the other Al atom, which only has six electrons in its valence shell. The Lewis structure of Al2Cl6 with the dative covalent bond is shown in the figure below: Image credit: en.wikipedia.org Therefore, AlF3 is an ionic compound, whereas AlCl3 is a covalent compound.

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The IEP Pregnancy test accurately identifies pregnant women 94% of the time and correctly identifies non-pregnant women 93% of the time. Suppose that for the population of African American women between 25 and 30 who use a pregnancy test 62% are actually pregnant. For this population, what is the probability that the test is positive and the women is actually pregnant? 0.0372 0.5828 0.0266 .93 .94 0.3534 A surface of a metal is illuminated with light having wavelength of 500 nm, the work function for the metal is 1.9 eV. Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)x y3 19.64 20.695 21.286 18.677 19.068 17.559 17.7410 16.3311 14.6212 14.5113 16.3 Run a regression analysis on the following bivariate set of data with y as the response variable.x y37.6 77.877.2 41.434.2 34.962.8 70.744.5 84.436.3 70.339.9 78.342.2 77.143.1 78.440.5 76.245.8 96.6Verify that the correlation is significant at an a = 0.05. 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How is the value today of the perpetuity calculated? Assume annual payments of $300 forever. The market rate of interest on similar risk cash flows is 10%. Please discuss what you feel to be the causes ofpoverty (we don't need a definition of poverty or theconsequences of being poor, just the reasons you believe thatpoverty exists in our society) Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1 on the market index. Firm-specific returns all have a standard deviation of 30%. Suppose that an analyst studies 20 stocks, and finds that one-half have an alpha of +2%,and the other half an alpha of-290. Suppose the analyst buys $1 million of an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks. a. What is the expected profit (in dollars) and standard deviation of the analyst's profit? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount. Omit the"$ sign in your response.) Expected profit (in dollars) Standard deviation b. How does standard deviation change if the analyst examines 50 stocks instead of 20 stocks? 100 stocks? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount. Omit the "$" sign in your response.) 50 stocks 100 stocks Standard deviation reflection about simulation in second day and third day "At Compassion we believe that every child is a joy and a blessing. We know from the psalmist that "children are a gift from the Lord." Families come in all sizes some are small, and some are large. But there's one question we sometimes hear from those living in Western cultures: when income is scarce and a family is already struggling, why do parents in poverty have so many children? Many families in extreme poverty have large families for the same reason families everywhere choose to expand-because they love their children and enjoy the blessings of a large family. They believe that is God's best for them, and they trust in the Lord. But there are many other unique social, cultural, religious, and economic reasons why parents living in poverty tend to have larger families. Some might surprise you!" (Coo Canada, 2017) Based on above paragraph answer the following question: a) From the perspective of Thomas R. Malthus mention 3 ways to avoid simultaneous poverty with larger families? Explain Suppose that the scores of a reference population on the Wechsler Inteligence Scale for Children (WISC) can be modeled by a NORMAL distribution with mean 101 and standard deviation 17 Question 1. What is the probability that a child has a WISC score BELOW 76.47 (use 4 decimal places in your answer Question 2. What is the probability that a child has a WISC score ABOVE 146.47 (use & decinul places in your answer) Question 3. What is the probability that a child has a WISC score BETWEEN 101 and 121 67 (use 4 decimal places in your answer) Question 4. What are the quartiles of WISC scores? (HINT: First Quartile Q1- Find a WISC score such that 25% of children have scored below that score. Third Quartie Q3- Find a WESC score such that 75% of students have scored below that score) Q- 2-