Draw the structure of silicon tetrahydride according to Lewis theory. What would be its associated molecular geometry?

Answers

Answer 1

Answer :  The molecular geometry of the molecule is, tetrahedral.

Explanation :

Lewis-dot structure : It shows the bonding between the atoms of a molecule and it also shows the unpaired electrons present in the molecule.

In the Lewis-dot structure the valance electrons are shown by 'dot'.

The given molecule is, [tex]SiH_4[/tex]

As we know that silicon has '4' valence electrons and hydrogen has '1' valence electron.

Therefore, the total number of valence electrons in [tex]SiH_4[/tex] = 4 + 4(1)  = 8

According to Lewis-dot structure, there are 8 number of bonding electrons and 0 number of non-bonding electrons.

Now we have to determine the hybridization of the given molecules.

Formula used  :

[tex]\text{Number of electron pair}=\frac{1}{2}[V+N-C+A][/tex]

where,

V = number of valence electrons present in central atom

N = number of monovalent atoms bonded to central atom

C = charge of cation

A = charge of anion

The given molecule is, [tex]SiH_4[/tex]

[tex]\text{Number of electrons}=\frac{1}{2}\times [4+4]=4[/tex]

The number of electron pair are 4 that means the hybridization will be [tex]sp^3[/tex] and the electronic geometry and the molecular geometry of the molecule will be tetrahedral.

Hence, the molecular geometry of the molecule is, tetrahedral.

Draw The Structure Of Silicon Tetrahydride According To Lewis Theory. What Would Be Its Associated Molecular
Answer 2
Final answer:

Silicon tetrahydride has a tetrahedral molecular geometry with the silicon atom being sp³ hybridized and bond angles approximately 109.5°.

Explanation:

The structure of silicon tetrahydride, also known as silane, can be represented according to Lewis theory by a central silicon atom surrounded by four hydrogen atoms, each bonded to the silicon with a single bond. The Lewis structure reflects that all the valence electrons of silicon are used to form the bonds with hydrogen atoms, leaving no lone pairs on the silicon. The associated molecular geometry of silicon tetrahydride is tetrahedral, as silicon is sp³ hybridized, with the four regions of electron density (the four Si-H bonds) arranged in a tetrahedral fashion. This geometry results in bond angles that are approximately 109.5°.


Related Questions

During a certain reversible process, the surroundings undergo an entropy change, ΔSsurr = - 71 J/K .
What is the entropy change of the system for this process?
ΔSsys =_____ J/K

Answers

Answer:

entropy change of the system = +71 J/K

Explanation:

for a reversible process ;

ΔSsurrounding + ΔSsystem = 0 ............(1)

but ΔSsurrounding = - 71 J/K

substitute in equation (1)

ΔSsystem = -ΔSsurrounding

ΔSsystem = -(- 71 J/K)

= +71 J/K

For a reversible process where the surroundings undergo an entropy change of -71 J/K, the entropy change of the system is 71 J/K.

Since the process is reversible, the total entropy change for the universe is zero. This implies that the sum of the entropy changes for the system and the surroundings must be zero.

ΔSuniverse = ΔSsys + ΔSsurr = 0

Given that the entropy change of the surroundings, ΔSsurr, is -71 J/K, we can solve for the entropy change of the system, ΔSsys:

ΔSsys = - ΔSsurr

ΔSsys = - (-71 J/K)

ΔSsys = 71 J/K

Therefore, the entropy change of the system for this process is 71 J/K.

A stream of hot wat at 85 deg C at a rate of 1 kg/s is needed for the pasteurizing unit in a milk bottling plant. Such a stream is not readily available, and will be produced in a well-insulated mixing tank by directly injecting st rem from a boiler plant at 10 bar and 200 deg C into city water available at 1 bar and 20 deg C. a) Calculate the flow rates of city water and stream needed. b) Calculate the rate of entropy production in the mixing tank. Any help would be greatly appreciated

Answers

Answer:

the flow rate for steam from the boiler plant = [tex]0.099kg/s[/tex]

the flow rate from the city water = 0.901 kg/s

the rate of entropy production in the mixing tank = 0.2044 kJ/k

Explanation:

In a well-insulated mixing tank where:

[tex]Q_{cv} = 0[/tex]  & [tex]W_{cv}=0[/tex]

The mass flow rates can be calculated using the formula:

[tex]Q_cv+m_1h_1+m_2h_2=m_3h_3+W_{cv[/tex]      ------ equation (1)

so;

[tex]0+m_1h_1+m_2h_2=m_3h_3+0[/tex]               ------- equation (2)

Given that:

From the steam in the boiler plant;

The temperature (T₁) = 200°C

Pressure (P₁) = 10 bar

The following data from compressed water and super-heated steam tables were also obtained at: T₁ = 200°C

h₁ = 2828.27 kJ/kg

s₁ = 6.95 kJ/kg K

m₁ (flow rate for steam in the boiler plant) = ????

Also, for city water

The temperature (T₂) = 20°C

Pressure (P₂) = 1 bar

Data obtained from compressed water and super-heated steam tables are as follows:

h₂ = 84.01 kJ/kg

s₂ = 0.2965 kJ/kg K

m₂ (flow rate for city water) = ???

For  stream of hot wat at 85 deg C

Temperature (T₃) = 85°C

h₃([tex]h_f[/tex]) = 355.95 kJ/kg

s₃([tex]s_f[/tex]) = 1.1344 kJ/kg K

m₃ = 1 kg/s

so since:

m₁ + m₂ = m₃       (since m₃  = 1)

m₂ = 1 -  m₁

From equation (2);

[tex]0+m_1h_1+m_2h_2=m_3h_3+0[/tex]    

= [tex]m_1(2828.27)+(1-m_1)(84.01)=1(355.95)[/tex]

= [tex]2828.27m_1+(84.01-84.01m_1)=(355.95)[/tex]

= [tex]2828.27m_1-84.01m_1=355.95-84.01[/tex]

= [tex]m_1(2828.27-84.01)=355.95-84.01[/tex]

[tex]m_1 = \frac{355.95-84.01}{2828.27-84.01}[/tex]

[tex]m_1 = \frac{271.94}{2744.26}[/tex][tex]m_1 = 0.099 kg/s[/tex]

∴ the flow rate for steam from the boiler plant = [tex]0.099kg/s[/tex]

since; m₂ = 1 -  m₁

m₂ = 1 -  0.099 kg/s

m₂ = 0.901 kg/s

∴ the flow rate from the city water = 0.901 kg/s

b)

rate of entropy production in the mixing tank can be determined using the formula:

Δ[tex]S_{production} = m_3}s_3-(m_1s_1+m_2s_2)[/tex]

Δ[tex]S_{production}[/tex] [tex]= (1)(1.1344)-(0.099)(6.6955)-0.901(0.2965)[/tex]

Δ[tex]S_{production}[/tex] [tex]= 1.1344-0.6628545-0.2671465[/tex]

Δ[tex]S_{production}[/tex] [tex]= 1.1344 - 0.930001[/tex]

Δ[tex]S_{production}[/tex] [tex]= 0.204399[/tex]

Δ[tex]S_{production}[/tex] ≅ 0.2044 kJ/k

∴ the rate of entropy production in the mixing tank = 0.2044 kJ/k

In a laboratory experiment, students synthesized a new compound and found that when 12.37 grams of the compound were dissolved to make 167.6 mL of a benzene solution, the osmotic pressure generated was 6.26 atm at 298 K. The compound was also found to be nonvolatile and a non-electrolyte. What is the molecular weight they determined for this compound?

Answers

Answer: 288.32g/mol

Explanation:Please see attachment for explanation

100. mg of an unknown protein are dissolved in enough solvent to make 5.00mL of solution. The osmotic pressure of this solution is measured to be 0.0766 atm at 25.0 degree C .

Calculate the molar mass of the protein. Be sure your answer has the correct number of significant digits.

Answers

Answer: The molar mass of the unknown protein is 6387.9 g/mol

Explanation:

To calculate the concentration of solute, we use the equation for osmotic pressure, which is:

[tex]\pi=iMRT[/tex]

or,

[tex]\pi=i\times \frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}\times RT[/tex]

where,

[tex]\pi[/tex] = osmotic pressure of the solution = 0.0766 atm

i = Van't hoff factor = 1 (for non-electrolytes)

Mass of protein = 100. mg = 0.100 g   (Conversion factor:  1 g = 1000 mg)

Molar mass of protein = ?

Volume of solution = 5.00 mL

R = Gas constant = [tex]0.0821\text{ L atm }mol^{-1}K^{-1}[/tex]

T = temperature of the solution = [tex]25^oC=[25+273]K=298K[/tex]

Putting values in above equation, we get:

[tex]0.0766atm=1\times \frac{0.100\times 1000}{\text{Molar mass of protein}\times 5}\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 298K\\\\\pi=\frac{1\times 0.100\times 1000\times 0.0821\times 298}{0.0766\times 5}=6387.9g/mol[/tex]

Hence, the molar mass of the unknown protein is 6387.9 g/mol

Determine the formulas for these ionic compounds. copper(I) bromide: copper(I) oxide: copper(II) bromide: copper(II) oxide: iron(III) bromide: iron(III) oxide: lead(IV) bromide: lead(IV) oxide:

Answers

Answer:

copper(I) bromide: CuBr

copper(I) oxide: Cu₂O

copper(II) bromide: CuBr₂

copper(II) oxide: CuO

iron(III) bromide: FeBr₃

iron(III) oxide: Fe₂O₃

lead(IV) bromide: PbBr₄

lead(IV) oxide: PbO₂

I hope this helped you! Brainliest would be greatly appreciated.

The formulas of the ionic compounds are as follows;

copper(I) bromide ----- CuBr

copper(I) oxide ------ Cu2O

copper(II) bromide ----- CuBr2

copper(II) oxide   ------- CuO

iron(III) bromide ------ FeBr3

iron(III) oxide ------ Fe2O3

lead(IV) bromide ---- PbBr4

lead(IV) oxide  ------ PbO2

The formula of an ionic compound is written with knowledge of the oxidation state of the metal in the ionic compound.

The oxidation state of each atom determines the subscript it carries in the formula as shown in the chemical formulas written above.

Learn more: https://brainly.com/question/11527546

Barium sulfate, BaSO4, is a white crystalline solid that is insoluble in water. It is used by doctors to diagnose problems with the digestive system. Barium hydroxide, Ba(OH)2, is also a white crystalline solid and is used in waste water treatment. How many more oxygen atoms are represented in the formula for barium sulfate than in the formula for barium hydroxide?

Answers

Answer:2

Explanation:

Ba(OH)2 contains two oxygen atoms

BaSO4 contains four oxygen atoms.

This means that barium sulphate contains two more oxygen atoms than barium hydroxide in its formula. This is clearly seen from the two formulae shown above.

The number of oxygen atom represented in the formula for barium sulfate than in the formula for barium hydroxide is 2 atoms

The molecular formula of barium sulfate = BaSO₄

The molecular formula of barium hydroxide = Ba(OH)₂

The number of oxygen atoms in BaSO₄ = 4 atoms

The number of oxygen atoms in Ba(OH)₂ = 2 atoms

Differences in atoms of oxygen = 4 – 2 = 2 atoms

From the above illustration, we can see that there are 2 more atoms of oxygen in barium sulfate, BaSO₄ than in barium hydroxide, Ba(OH)₂

Learn more: https://brainly.com/question/557042

Which of the following changes are not reversible Select one: a. Dehydration b. Melting c. Decomposition d. Hydration

Answers

Answer:

d. Decomposition

Explanation:

Reversible changes -

As the name suggests the the changes which can be reversed back to the original compound , is referred to as reversible changes .

All the physical changes are reversible in nature .

For example ,

Melting of ice , as the ice is melted from solid to liquid form , the liquid can again be converted back to solid , by reducing the temperature .

The process of hydration and dehydration are exactly opposite to each other , As hydration refers to the addition of water on to the system , where as dehydration refers to the process of removing water from the system ,

Hence , the changes are reversible in nature .

Decomposition is the process of break down of the chemical species into two or more species .

The species can not be further merged back to get back the original compound , hence is not a reversible change .

Compare the wavelengths of an electron (mass = 9.11 x 10⁻³¹ kg) and a proton (mass = 1.67 x 10²⁷ kg), each having (a) a speed of 3.4 x 10⁶ m/s; (b) a kinetic energy of 2.7 x 10⁻¹⁵ J.

Answers

Answer:

Part A:

For electron:

[tex]\lambda_e=2.1392*10^{-10} m[/tex]

For Proton:

[tex]\lambda_p=1.16696*10^{-13} m[/tex]

Part B:

For electron:

[tex]\lambda_e=9.44703*10^{-12} m[/tex]

For Proton:

[tex]\lambda_p=2.20646*10^{-13} m[/tex]

Explanation:

Formula for wave length λ is:

[tex]\lambda=\frac{h}{mv}[/tex]

where:

h is Planck's constant=[tex]6.626*10^{-34}[/tex]

m is the mass

v is the velocity

Part A:

For electron:

[tex]\lambda_e=\frac{6,626*10^{-34}}{(9.11*10^{-31})*(3.4*10^6)} \\\lambda_e=2.1392*10^{-10} m[/tex]

For Proton:

[tex]\lambda_p=\frac{6,626*10^{-34}}{(1.67*10^{-27})*(3.4*10^6)} \\\lambda_p=1.16696*10^{-13} m[/tex]

Wavelength of proton is smaller than that of electron

Part B:

Formula for K.E:

[tex]K.E=\frac{1}{2}mv^2\\v=\sqrt{2 K.E/m}[/tex]

For Electron:

[tex]v_e=\sqrt{\frac{2*2.7*10^{-15}}{9.11*10^{-31}}} \\v_e=76990597.74\ m/s[/tex]

Wavelength for electron:

[tex]\lambda_e=\frac{6,626*10^{-34}}{(9.11*10^{-31})*(76990597.74)} \\\lambda_e=9.44703*10^{-12} m[/tex]

For Proton:

[tex]v_p=\sqrt{\frac{2*2.7*10^{-15}}{1.67*10^{-27}}} \\v_p=1798202.696\ m/s[/tex]

Wavelength for proton:

[tex]\lambda_p=\frac{6,626*10^{-34}}{(1.67*10^{-27})*(1798202.696)} \\\lambda_p=2.20646*10^{-13} m[/tex]

Wavelength of electron is greater than that of proton.

An auto mechanic spills 98.3 of 1.9 sulfuric acid solution from an auto battery. How many milliliters of 1.9 M sodium bicarbonate must be poured on the spill to react completely with the sulfuric acid?

Answers

Answer: The volume of sodium bicarbonate needed is 196.6 mL

Explanation:

To calculate the volume of base, we use the equation given by neutralization reaction:

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]n_1,M_1\text{ and }V_1[/tex] are the n-factor, molarity and volume of acid which is [tex]H_2SO_4[/tex]

[tex]n_2,M_2\text{ and }V_2[/tex] are the n-factor, molarity and volume of base which is [tex]NaHCO_3[/tex]

We are given:

[tex]n_1=2\\M_1=1.9M\\V_1=98.3mL\\n_2=1\\M_2=1.9M\\V_2=?mL[/tex]

Putting values in above equation, we get:

[tex]2\times 1.9\times 98.3=1\times 0.19\times V_2\\\\V_2=\frac{2\times 1.9\times 98.3}{1\times 1.9}=196.6mL[/tex]

Hence, the volume of sodium bicarbonate needed is 196.6 mL

The heat of vaporization, ΔHvap of carbon tetrachloride (CCl4) is 43000 J/mol at 25 °C. 1 mol of liquid CCl4 has an entropy of 214 J/K. (a) What is the entropy of 1 mole of the vapor at 25 °C or 298 K? (b) How many intensive variables will be required to completely specify the vapor-liquid mixture of CCl4? (45 points)

Answers

Explanation:

(a)    The given data is as follows.

     Temperature (T) = [tex]25^{o}C[/tex] = (25 + 273) K = 298 K

      [tex]\Delta H_{vap}[/tex] = 43000 J/mol

Since, both the liquid and vapors are at equilibrium. Therefore, change in free energy will be calculated as follows.

      [tex]\Delta G_{vap} = \Delta H_{vap} - T \Delta S_{vap}[/tex] = 0        

            43000 - [tex](298 \times \Delta S_{vap})[/tex] = 0

                      [tex]\Delta S_{vap}[/tex] = -144 J/mol K

Negative sign indicates an increase in entropy of the system.

Now, for 1 mole of [tex]CCl_{4}[/tex] is as follows.

     = 144 J/K

So,     [tex]S_{vapor}[/tex] - 214 = 144 J/k

                         = 358 J/K

Therefore, we can conclude that entropy of [tex]CCl_{4}[/tex] vapor is 358 J/K.

(b)  As we know that intensive variable are the variables which do not depend on the amount of a substance.

So, in the given situation only temperature will act as an intensive variable that will be required to completely specify the vapor-liquid mixture of [tex]CCl_{4}[/tex].

(a) The entropy of 1 mole of the vapor at 25°C is 358.3 J/K. (b) One intensive variables are required to completely specify the vapor-liquid mixture of CCl4.

Let's address each part of your question step by step.

(a) Entropy of 1 mole of CCl₄ vapor at 25°C (298 K)

Given data:

- The heat of vaporization [tex](\(\Delta H_{\text{vap}}\)) of CCl_4 \ is\ 43000 J/mol\ at\ 25\°C.[/tex]

- The entropy of 1 mol of liquid CCl₄ [tex](\(S_{\text{liquid}}\))[/tex] is 214 J/K at 25°C.

We need to find the entropy of 1 mole of the vapor [tex](\(S_{\text{vapor}}\))[/tex] at 25°C (298 K).

The change in entropy during vaporization [tex](\(\Delta S_{\text{vap}}\))[/tex] can be calculated using the formula:

[tex]\[ \Delta S_{\text{vap}} = \frac{\Delta H_{\text{vap}}}{T} \][/tex]

Where:

- [tex]\(\Delta H_{\text{vap}}\)[/tex] = 43000 J/mol

- T = 298 K

So,

[tex]\[ \Delta S_{\text{vap}} = \frac{43000 \, \text{J/mol}}{298 \, \text{K}} \]\[ \Delta S_{\text{vap}} = 144.3 \, \text{J/(mol} \cdot \text{K)} \][/tex]

Now, using the relation:

[tex]\[ S_{\text{vapor}} = S_{\text{liquid}} + \Delta S_{\text{vap}} \][/tex]

Substitute the values:

[tex]\[ S_{\text{vapor}} = 214 \, \text{J/(mol} \cdot \text{K)} + 144.3 \, \text{J/(mol} \cdot \text{K)} \]\[ S_{\text{vapor}} = 358.3 \, \text{J/(mol} \cdot \text{K)} \][/tex]

So, the entropy of 1 mole of CCl₄ vapor at 25°C is:

[tex]\[ S_{\text{vapor}} = 358.3 \, \text{J/(mol} \cdot \text{K)} \][/tex]

(b) Number of intensive variables to specify the vapor-liquid mixture of CCl₄

For a system in equilibrium, the number of intensive variables required to completely specify the state of the system is given by the Gibbs phase rule:

F = C - P + 2

Where:

- F  is the number of degrees of freedom (intensive variables needed).

- C is the number of components.

- P is the number of phases.

In this case:

- C  (number of components) = 1 (CCl₄).

- P (number of phases) = 2 (liquid and vapor).

Using the Gibbs phase rule:

F = 1 - 2 + 2

F = 1

Thus, one intensive variable (e.g., temperature or pressure) is required to completely specify the vapor-liquid mixture of CCl₄.

What are the molarity and osmolarity of a 1-liter solution that contains half a mole of calcium chloride? How many molecules of chloride would the solution contain?

Answers

Answer:

Molarity = 0.5 M

Osmolarity = 0.5 x 2 = 1 Osmpl.

Molecules of Cl2 = 6.02 x [tex]10^{23}[/tex] / 4= 1.505 x [tex]10^{23}[/tex] no. of molecules

Explanation:

If we add half mole in 1L volume than molarity will obviously be 0.5 M.

The osmolarity is molarity multiplies by number of dissociates of solute that for CaCl2 are 2. So, 2 x 0.5 = 1

Half will be molecules of Ca and half will be of Cl2 for 0.5M.

Final answer:

The molarity of a 1-liter solution with half a mole of calcium chloride is 0.5 M. The osmolarity, considering the dissociation of calcium chloride into three ions, is 1.5 osmol/L. The solution would contain 6.022 x 10²³chloride ions.

Explanation:

The molarity of a solution is defined as the number of moles of a solute per liter of solution. In this case, to calculate the molarity of calcium chloride, CaCl₂, in a 1-liter solution containing half a mole, we simply divide the moles of solute by the volume of the solution in liters:

Molarity (M) = moles of solute / liters of solution

Molarity (M) = 0.5 mol / 1 L = 0.5 M

The osmolarity of a solution is the total concentration of solute particles dissolved in a solution. Since calcium chloride dissociates into three ions (one Ca²⁺ ion and two Cl
- ions), the osmolarity is as follows:

Osmolarity = molarity  x number of particles per formula unit

Osmolarity = 0.5 M  x 3 = 1.5 osmol/L

For the number of chloride ions in the solution, we must look at the stoichiometry of calcium chloride: each formula unit of CaCl₂ yields two Cl⁻ions. So, we have:

Number of Cl⁻ ions = 0.5 mol CaCl₂ x (2 mol Cl⁻ / 1 mol CaCl₂) x (6.022 x 10²³ ions/mol)

Number of Cl⁻ ions = 1 mol Cl⁻ x 6.022 x 10²³ ions/mol = 6.022 x 10²³ ions

The nonvolatile, nonelectrolyte testosterone, C19H28O2 (288.40 g/mol), is soluble in benzene C6H6. Calculate the osmotic pressure generated when 12.4 grams of testosterone are dissolved in 168 ml of a benzene solution at 298 K.

Answers

Answer: 6.26atm

Explanation:Please see attachment for explanation

Answer:

The osmotic pressure is 6.26 atm

Explanation:

Step 1: Data given

Mass of testosterone = 12.4 grams

Volume of benzene = 168 mL

Temperature = 298 Kelvin

Step 2: Calculate moles of testosterone

Moles testosterone = mass / molar mass

Moles testosterone = 12.4 grams / 288.42 g/mol

Moles testosterone = 0.0430 moles

Step 3: Calculate molarity

Molarity = moles / volume

Molarity = 0.0430 moles / 0.168 L

Molarity = 0.256 M

Step 4 : Calculate the osmotic pressure

π = iMRT

⇒ with i = The Van't hoff factor = 1 (since testosterone is nonelectrolyte)

⇒ with M = the molair concentration = 0.256 M

⇒ with R = the gas constant = 0.08206 L*atm/k*mol

⇒ with T = the temperature = 298 K

π = 1*0.256*0.08206*298

π = 6.26 atm

The osmotic pressure is 6.26 atm

What is the electric force on a proton 2.5 fmfm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge. Express your answer to two significant figures and include the appropriate units.

Answers

Explanation:

It is known that charge on xenon nucleus is [tex]q_{1}[/tex] equal to +54e. And, charge on the proton is [tex]q_{2}[/tex] equal to +e. So, radius of the nucleus is as follows.

            r = [tex]\frac{6.0}{2}[/tex]

              = 3.0 fm

Let us assume that nucleus is a point charge. Hence, the distance between proton and nucleus will be as follows.

              d = r + 2.5

                 = (3.0 + 2.5) fm

                 = 5.5 fm

                 = [tex]5.5 \times 10^{-15} m[/tex]     (as 1 fm = [tex]10^{-15}[/tex])

Therefore, electrostatic repulsive force on proton is calculated as follows.

              F = [tex]\frac{1}{4 \pi \epsilon_{o}} \frac{q_{1}q_{2}}{d^{2}}[/tex]

Putting the given values into the above formula as follows.

           F = [tex]\frac{1}{4 \pi \epsilon_{o}} \frac{q_{1}q_{2}}{d^{2}}[/tex]

              = [tex](9 \times 10^{9}) \frac{54e \times e}{(5.5 \times 10^{-15})^{2}}[/tex]

              = [tex](9 \times 10^{9}) \frac{54 \times (1.6 \times 10^{-19})^{2}}{(5.5 \times 10^{-15})^{2}}[/tex]

              = 411.2 N

or,           = [tex]4.1 \times 10^{2}[/tex] N

Thus, we ca conclude that [tex]4.1 \times 10^{2}[/tex] N is the electric force on a proton 2.5 fm from the surface of the nucleus.

Use the periodic table to identify the element with the electron configuration 1s²2s²2p⁴. Write its orbital diagram, and give the quantum numbers of its sixth electron.

Answers

The element with the electron configuration 1s²2s²2p⁴ is **oxygen (O)**.

Here's its orbital diagram:

     ↑      ↑

1s:    |      |

     ↓      ↓

     ↑      ↑

2s:    |      |

     ↓      ↓

     ↑      ↓      ↑      ↓

2p:  -----|-----|-----|-----

     ↓      ↑      ↓      ↑

**Quantum numbers of the sixth electron:**

* Principal quantum number (n): 2 (second energy level)

* Azimuthal quantum number (l): 1 (p orbital)

* Magnetic quantum number (m_l): 0 (p_z orbital)

* Spin quantum number (m_s): +½ or -½ (two possible spin states)

**Explanation:**

- The electron configuration follows the Aufbau principle, filling orbitals from lowest energy to highest energy.

- The first two electrons fill the 1s orbital, the next two fill the 2s orbital, and the sixth electron goes into one of the three 2p orbitals (2p_x, 2p_y, or 2p_z).

- The magnetic quantum number (m_l) specifies the specific 2p orbital, and in this case, it's 0 for the 2p_z orbital.

- The spin quantum number (m_s) represents the electron's spin, which can be either +½ or -½.

If a mixture of gases contained 78% nitrogen at a pressure of 984 torr and 22% carbon dioxide at 345 torr, what is the total pressure of the system?

Answers

Answer:

P(total) = 1329 torr

Explanation:

Given data:

Pressure of nitrogen = 984 torr

Pressure of carbon dioxide = 345 torr

Total pressure of system = ?

Solution:

The given problem will be solve through the Dalton law of partial pressure of gases.

According to the this law,

The total pressure exerted by the mixture of gases is equal to the sum of partial pressure of individual gas.

Mathematical expression,

P(total) = P₁ + P₂ +.......+ Pₙ

Here we will put the values in formula,

P₁ = partial pressure of nitrogen

P₂ = partial pressure of carbon dioxide

P(total) = 984 torr + 345 torr

P(total) = 1329 torr

Final answer:

The total pressure of the system is calculated by adding the partial pressures of the individual gases, resulting in a total pressure of 843.42 torr.

Explanation:

To calculate the total pressure of a mixture of gases, you use Dalton's Law of Partial Pressures which implies that the overall pressure exerted by a mixture of non-reacting gases is equal to the sum of their partial pressures.

In this case,

The partial pressure of nitrogen (N₂) is given as 78% of 984 torr, which is 767.52 torr.

The partial pressure of carbon dioxide (CO₂) is given as 22% of 345 torr, which is 75.9 torr.

The total pressure is the sum of these partial pressures:

767.52 torr (N₂) + 75.9 torr (CO₂) = 843.42 torr

The total pressure of the system is 843.42 torr.

What is the molarity (M) of chloride ions in a solution prepared by mixing 194.4 ml of 0.439 M calcium chloride with 363 ml of 0.497 M aluminum chloride? Enter to 3 decimal places.

Answers

Answer: The concentration of chloride ions in the solution obtained is 1.27 M

Explanation:

To calculate the number of moles for given molarity, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}[/tex]     .....(1)

For calcium chloride:

Molarity of calcium chloride solution = 0.439 M

Volume of solution = 194.4 mL

Putting values in equation 1, we get:

[tex]0.439=\frac{\text{Moles of calcium chloride}\times 1000}{194.4}\\\\\text{Moles of calcium chloride}=\frac{(0.439\times 194.4)}{1000}=0.085mol[/tex]

1 mole of calcium chloride produces 2 moles of chloride ions and 1 mole of calcium ion

Moles of chloride ions in calcium chloride = [tex](2\times 0.085)=0.170mol[/tex]

For aluminum chloride:

Molarity of aluminum chloride solution = 0.497 M

Volume of solution = 363 mL

Putting values in equation 1, we get:

[tex]0.497=\frac{\text{Moles of }AlCl_3\times 1000}{363}\\\\\text{Moles of }AlCl_3=\frac{(0.497\times 363)}{1000}=0.180mol[/tex]

1 mole of aluminum chloride produces 3 moles of chloride ions and 1 mole of aluminum ion

Moles of chloride ions in aluminum chloride = [tex](3\times 0.180)=0.540mol[/tex]

Calculating the chloride ion concentration, we use equation 1:

Total moles of chloride ions in the solution = (0.170 + 0.540) moles = 0.710 moles

Total volume of the solution = (194.4 + 363) mL = 557.4 mL

Putting values in equation 1, we get:

[tex]\text{Concentration of chloride ions}=\frac{0.710mol\times 1000}{557.4}\\\\\text{Concentration of chloride ions}=1.27M[/tex]

Hence, the concentration of chloride ions in the solution obtained is 1.27 M

A scuba diver that ascends to the surface too quickly can experience decompression sickness, which occurs when nitrogen that dissolves in the blood under high pressure, forms bubbles as the pressure decreases during the ascent. Therefore an understanding of the gas laws is an important part of a scuba diver\'s training. In fresh water the pressure increases by 1 atm every 34 ft below the water surface a diver descends. If a diver ascends quickly to the surface from a depth of 68 ft without exhaling, by what factor will the volume of the diver\'s lungs change upon arrival at the surface? Assume the atmospheric pressure at the surface of the water is 1 atm.

Answers

Final answer:

The volume of the diver's lungs would increase by a factor of three when ascending from a depth of 68 feet to the surface, due to the pressure change from 3 ATM to 1 ATM.

Explanation:

The question asks us to calculate the change in volume of a diver's lungs when ascending from a depth of 68 feet in fresh water to the surface, where the pressure is 1 ATM, assuming they do not exhale. According to the information given, in fresh water, pressure increases by 1 ATM every 34 feet. Therefore, at 68 feet, the pressure would be 3 ATM (including 1 ATM of atmospheric pressure at the surface). Using Boyle's Law, which states that pressure is inversely proportional to volume when temperature is constant (P1V1 = P2V2), the volume of the diver's lungs at the surface would be three times the volume underwater because the pressure decreases from 3 ATM to 1 ATM during ascent.

The structures of TeF4 and TeCl4 in the gas phase have been studied by electron diffraction.

a. Would you expect the TeiX (axial) distances in these molecules to be longer or shorter than than TeiX (equatorial) distances? Explain briefly.
b. Which compound would you predict to have the smaller X(axial)iTeiX(axial) angles? The smaller X(equatorial)iTeiX(equatorial) angles? Explain briefly

Answers

Answer:

a)

From VSPER theory, the compound TeF₄ and TeCl₄ AX₄E type of models. Hence, the molecular geometry of this molecule is trigonal bipyramidal. The plausible structure of this molecule are shown on the first uploaded image

Looking at the image we see that  structure 1 has three lone pairs repulsion with 90° angle. From  VSPER theory, the repulsive force between the electron  pair is given as

lone pair - lone pair > lone pair - bond pair > bond pair - bond pair

The above shows that bond pair -bond pair has less repulsion than lone pair- bond pair, and next is lone pair - lone pair

This means that structure 2 is more stable structure for TeF₄ or TeCl₄ .,because the lone pair is present at equatorial position.

This stable structure is shown on the second uploaded image

A lone pair of electron occupy more space around the central atom than a bond pair electron that are present at axial positions, the two atoms that are present at axial position are tilt away from the lone pair

       We can see the structure on the third uploaded image

Due to the repulsive interaction , the bond distance between Te - X(axial) increases, which means that the Te - X(axial) distance is longer than  Te - X(equitorial)  distance.

b)

It is a general concept that TeX₄ ha a bond angle of 90° for axial position and  120° in between equitorial position. This is shown on the fourth uploaded image

Considering TeF₄ and TeCl₄ , F is more electro-negative element  Than Cl.This mean that the fluorine would pull strongly the  shared electron away from the Te which reduces the electron density near the central Te atom.This would result in decrease bond angle be TeCl₄

So , F(axial) - Te - F(axial) has smaller bond angle than Cl(axial) - Te - Cl(axial)

Considering the equitorial position we see that because of the highly electro - negative fluorine atom, the bond angle decrease much in  TeF₄ than in  TeCl₄

      This means that  F(equitorial) - Te - F(equitorial)  has smaller bond angle than Cl(equitorial) - Te - Cl(equitorial)

The molecules TeCl4 and TeF4 both have the axial bonds longer than the equatorial bonds due to repulsion. Secondly TeF4 and TeCl4 have axial bond angles less than equatorial bond angles due to their greater electronegativity.

The molecule TeCl4  has a see - saw shape. There are four bonds pairs and one lone pair in the molecule. We have to note that the axial bonds are longer than the equatorial bonds owing to the greater repulsion from the equatorial bonds leading to elongation of bonds.

Looking at the molecules TeF4 and TeCl4, we know that F and Cl are more electronegative than Te hence they pull more on the shared electron pair hence the axial bond angles are smaller than the equatorial bond angles.

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Write a full set of quantum numbers for the following:
(a) The outermost electron in an Li atom
(b) The electron gained when a Br atom becomes a Br⁻ ion
(c) The electron lost when a Cs atom ionizes
(d) The highest energy electron in the ground-state B atom

Answers

Final answer:

The quantum numbers serve for experimenting with electron positions within an atom. For each given atom or ion - Li, Br-, Cs, and B - the quantum numbers for the outermost electron exhibit the electron's location in different shells, subshells and spins.

Explanation:

The quantum numbers provide a unique address for each electron in an atom, listed as (n, l, ml, ms), where n is the principal quantum number, l is the azimuthal quantum number, ml is the magnetic quantum number, and ms is the spin quantum number.

Li atom: The outermost electron resides in the 2s subshell, so the quantum numbers are (2, 0, 0, ±1/2). Br⁻ ion: Upon gaining an electron, it goes to the 4p subshell. The quantum numbers are (4, 1, -1, -1/2).Cs atom: Before ionization, the outermost electron is in the 6s subshell. The quantum numbers are (6, 0, 0, ±1/2).B atom: For the highest energy electron in the ground-state, it belongs to the 2p subshell. The quantum numbers are (2, 1, 1, ±1/2).

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For these cases, the quantum numbers have been determined based on electron configurations and orbital positions. The solutions cover Li, Br⁻, Cs, and B electrons specifically.

Quantum numbers are used to describe the position and energy of an electron in an atom. Let's break down the quantum numbers for each of the given scenarios:

(a) The outermost electron in a Li atom:
For Lithium (Li), the electron configuration is 1s² 2s¹. The outermost electron is in the 2s orbital. The quantum numbers are:
n = 2 (principal quantum number)
l = 0 (angular momentum quantum number for s orbital)
ml = 0 (magnetic quantum number)
ms = +1/2 (spin quantum number)(b) The electron gained when a Br atom becomes a Br⁻ ion:
For Bromine (Br), the electron configuration is [Ar] 4s² 3d¹⁰ 4p⁵. When it gains an electron to form Br⁻, the additional electron enters the 4p orbital. The quantum numbers are:
n = 4
l = 1 (angular momentum quantum number for p orbital)
ml = 0 (one of the possible values for a p orbital)
ms = +1/2(c) The electron lost when a Cs atom ionizes:
For Cesium (Cs), the electron configuration is [Xe] 6s¹. When it loses an electron to form Cs⁺, the electron is removed from the 6s orbital. The quantum numbers for the lost electron are:
n = 6
l = 0
ml = 0
ms = +1/2(d) The highest energy electron in the ground-state B atom:
For Boron (B), the electron configuration is 1s² 2s² 2p¹. The highest energy electron is in the 2p orbital. The quantum numbers are:
n = 2
l = 1
ml = -1, 0, or +1 (one of the possible values, let's use -1)
ms = +1/2

If 200 ml of 0.30 M formic acid is added to 400 ml of water, what is the resulting pH of the solution? Round the answer to one decimal place. pKa= 3.75

Answers

Answer:

The pH of the resultant solution is 2.4

Explanation:

From the data

[HCOOH]_0 is 0.30V_w is 400 mlV_a is 200 mlV_total is given as

          V_total=V_w+V_a

          V_total=400+200 ml

V_total=600ml

Now the concentration of solution is given as

[tex]M_1V_1=M_2V_2\\M_2=\frac{M_1V_1}{V_2}\\M_2=\frac{0.30 \times 0.2}{0.6}\\M_2=0.1 M\\[/tex]

The reaction equation is given as

Equation                            [tex]HCOOH + H_2O \rightarrow HCOO^- +H_3O^+\\[/tex]

Initial Concentration is        0.1                             0               0

Change is                            -x                                x               x

_______________________________________________

At Equilibrium                  0.1-x                              x                x

Now the equation for K_a is given as

[tex]K_a=\frac{[HCOO^-][H_3O^+]}{[HCOOH]}[/tex]

Here Ka, for pKa-=3.75,  is given as

                   [tex]K_a=10^{-pKa}\\K_a=10^{-3.75}\\K_a=1.78 \times 10^{-4}[/tex]

Substituting this and concentrations at equilibrium in equation of Ka gives

[tex]K_a=\frac{[HCOO^-][H_3O^+]}{[HCOOH]}\\1.78 \times 10^{-4}=\frac{xx}{0.1-x}\\[/tex]

Solving for x

[tex]1.78 \times 10^{-4} (0.1-x)=x^2\\[/tex]

Here 0.1-x≈0.1 so

[tex]1.78 \times 10^{-5} =x^2\\x=\sqrt{1.78 \times 10^{-5}}\\x=4.219 \times 10^{-3}[/tex]

As [tex][H_3O^+]=[H^+][/tex]=x so its value is 4.219 x10^(-3) so pH is given as

[tex]pH=-log[H^+]\\pH=-log (4.219 \times 10^{-3})\\pH=2.37 \approx 2.4[/tex]

So the pH of the resultant solution is 2.4

Answer:

2.4

Explanation:

Given that:

Initial Concentration (M₁) of our formic acid from the question= 0.30 M

Initial volume (V₁) of the formic acid = 200 mL

Volume of water added = 400 mL

pKa= 3.75

∴ we can determine the total volume of the final solution by the addition of (Initial volume (V₁) of the formic acid) + (Volume of water added)

= 200 mL + 400 mL

= 600 mL

We can find the final concentration using the formula;

M₁V₁ = M₂V₂

M₂= [tex]\frac{0.30*200}{600}[/tex]

M₂= 0.1M

∴ The concentration of the diluted formic acid(since water is added to the initial volume) = 0.1M

From our pKa which is = 3.75

Ka of formic acid (HCOOH) = [tex]10^{-3.75}[/tex]

                                             =  1.78 × 10⁻⁴

If water is added to the formic acid; the equation for the reaction can be represented as;

                                  HCOOH + H₂O    ⇒    HCOO⁻    + H₃O

Initial                            0.1                                   0              0

Change                        -x                                    +x             +x

Equilibrium                  0.1-x                                 x              x

Ka = [tex]\frac{x^2}{0.1-x}[/tex] = 1.78 × 10⁻⁴

x² = (0.1 × 1.78 × 10⁻⁴)      since x = 0

x² =  1.78 × 10⁻⁵

x = [tex]\sqrt{1.78*10^{-5}}[/tex]

x = 0.004217

x = [tex][H_3O^+]=[H^+][/tex] =  0.004217 M

pH = [tex]-log[H^+][/tex]

= -log (0.004217)

= 2.375

≅ 2.4 (to  one decimal place)

We can thereby conclude that the final pH of the formic acid solution = 2.4

In what region of the periodic table will you find elements with relatively high IEs? With relatively low IEs?

Answers

Final answer:

High ionization energies are common in elements found on the right side of the periodic table, notably the Noble Gases due to their full electron shells. In contrast, low ionization energies are associated with elements on the left side of the periodic table, particularly metals like those of the Alkali Metal group with just one or two electrons in their outermost shell.

Explanation:

In the periodic table, elements with relatively high IEs (Ionization Energies) are generally located on the right side, specifically in the group of Noble Gases. Noble gases like Helium or Neon have high IEs because they have full electron shells, and thus it requires a large amount of energy to remove an electron. On the other hand, the elements with relatively low IEs are located on the left side of the periodic table. This is because metals, such as those in the Alkali Metal group, have only one or two electrons in their outermost shell. These electrons are relatively easy to remove, resulting in a low ionization energy.

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The initial reaction rate for the elementary reaction 2A + B → 4C was measured as a function of temperature when the concentration of A was 2 M and that of B was 1.5 M. (a) What is the activation energy? (b) What is the frequency factor? (c) What is the rate constant as a function of temperature using Equation (S3-5) and T0 = 27°C as the base case?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a) The activation energy is 124.776[tex]\frac{kJ}{mole}[/tex]

b) The frequency factor is 1.77 ×[tex]10^{18}[/tex]

c) The rate constant is 0.00033 [tex](\frac{dm^{3} }{mole} )^{2}[/tex][tex]\frac{1}{s}[/tex]

Explanation:

From the question the elementary reaction for A and B is given as

      2A + B → 4C

The rate equation the elementary reaction is

      -[tex]r_{A}[/tex] = [tex]k[/tex][tex][A]^{2}[/tex][tex][B][/tex]

            =  [tex]k[2]^{2}[1.5][/tex]

            = 6k

     [tex]k = \frac{-r_{A} }{6}[/tex]

      When temperature changes, the rate constant change an this causes the rate of reaction to change as shown on the second uploaded image.

The relationship between temperature and rate constant can be deduced from these equation

                    [tex]k = Aexp(-\frac{E_{a} }{RT} )[/tex]

             taking ln of both sides we have

                   [tex]lnk =ln A - (\frac{E_{a} }{R}) \frac{1}{T}[/tex]

        Considering the graph for the rate constant [tex]ln k[/tex] and [tex](\frac{1}{T} )[/tex] the slope from the equation is [tex]-(\frac{E_{a} }{R})[/tex] and the intercept is [tex]ln A[/tex]

From the given table we can generate another table using the equation above as shown on the third uploaded image

The graph of [tex]ln k[/tex]  vs [tex](\frac{1}{T} )[/tex]  is shown on the fourth uploaded image

  From the graph we can see that the slope is [tex]-(\frac{E_{a} }{R} ) = - 15008[/tex]

Now we can obtain the activation energy [tex]E_{a}[/tex] by making it the subject in the equation also generally R which is the gas constant is [tex]8.145 \frac{J}{kmole}[/tex]

                [tex]E_{a} = 15008 × 8,3145\frac{J}{molK}[/tex]  

                     [tex]= 124\frac{KJ}{mole}[/tex]

    Hence the activation energy is [tex]= 124\frac{KJ}{mole}[/tex]

b) From the graph its intercept is [tex]ln A = 42.019[/tex]

                                                          [tex]A = exp(42.019)[/tex]

                                                             [tex]=1.77 × 10^{18}[/tex]

Hence the frquency factor A is  [tex]=1.77 × 10^{18}[/tex]

c) From the equation of rate constant

                                          [tex]lnk =ln A - (\frac{E_{a} }{R}) \frac{1}{T}[/tex]

We have

                [tex]ln k = 42.019 - 15008 * (\frac{1}{300} )[/tex]

                      [tex]k = 0.00033(\frac{dm^{3} }{mole} )^{2} \frac{1}{s}[/tex]

Hence the rate constant is [tex]k = 0.00033(\frac{dm^{3} }{mole} )^{2} \frac{1}{s}[/tex]    

An aqueous solution of 4.57 M H2SO4 has a density of 1.25 g/mL. Calculate the molality of this solution

Answers

Answer : The molality of solution is, 5.69 mole/L

Explanation :

The relation between the molarity, molality and the density of the solution is,

[tex]d=M[\frac{1}{m}+\frac{M_b}{1000}][/tex]

where,

d = density of solution  = 1.25 g/mL

m = molality of solution  = ?

M = molarity of solution  = 4.57 M

[tex]M_b =\text{molar mass of solute }(H_2SO_4)[/tex] = 98 g/mole

Now put all the given values in the above formula, we get

[tex]1.25g/ml=4.57M[\frac{1}{m}+\frac{98g/mole}{1000}][/tex]

[tex]m=5.69mol/kg[/tex]

Therefore, the molality of solution is, 5.69 mole/L

Answer:

The molality is 5.7 molal

Explanation:

Step 1: Data given

Molarity of H2SO4 = 4.57 M ( = 4.57 mol/L)

Density of the solution = 1.25 g/mL

Molar mass of H2SO4 = 98.09 g/mol

Step 2: Calculate mass of solution

Suppose we have 1L (= 1000 mL) of solution

Mass of the solution = 1.25 g/mL * 1000 mL

Mass of the solution = 1250 grams

Step 3: Calculate mass H2SO4

In 1L of a 4.57 M solution we have 4.57

Mass H2SO4 = moles H2SO4 * molar mass H2SO4

Mass H2SO4 = 4.57 moles * 98.09 g/mol

Mass H2SO4 = 448.3 grams

Step 4: Calculate mass solvent

Mass solvent = mass solution - mass H2SO4

Mass solvent = 1250 grams - 448.3 grams

Mass solvent = 801.7 grams

Step 5: Calculate molality

Molality = moles H2SO4 / mass solvent

Molality = 4.57 moles / 0.8017 kg

Molality = 5.7 molal

The molality is 5.7 molal

Explain in detail how you would prepare 100 mL of a 0.00200 M solution of NaCl by diluting 0.500 M stock solution. The only glassware available for you to use are 1-mL, 5- mL, and 10-mL volumetric pipets and 100-mL volumetric flask.

Answers

Final answer:

To prepare a 0.00200 M NaCl solution from a 0.500 M stock, dilute 0.4 mL of the stock to 100 mL with water using volumetric pipets and a flask.

Explanation:

To prepare 100 mL of a 0.00200 M NaCl solution from a 0.500 M stock solution, you need to perform a dilution. First, use the dilution equation C1V1 = C2V2, where C1 is the concentration of the stock solution, V1 is the volume of the stock solution needed, C2 is the concentration of the diluted solution, and V2 is the volume of the diluted solution. Plugging in the values, you get (0.500 M) V1 = (0.00200 M)(100 mL), which simplifies to V1 = (0.00200 M)(100 mL) / (0.500 M) = 0.4 mL. This is the volume of the stock solution you need to pipet into the 100-mL volumetric flask. As we only have 1-mL, 5-mL, and 10-mL volumetric pipets available, you can use the 1-mL pipet to add 0.4 mL of the stock solution to the volumetric flask, then fill the flask with water up to the 100-mL mark to achieve the desired concentration.

For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 44.53° for FCC nickel (Ni) when monochromatic radiation having a wavelength of 0.1542 nm is used? The atomic radius for Ni is 0.1246 nm.

Answers

Answer:

The set of planes responsible for this diffraction peak is the [111] set.

Explanation:

We need to calculate the interplanar spacing, dₕₖₗ for nickel.

dₕₖₗ = nλ/2 sin θ

where θ = half of the diffraction angle = 44.53°/2 = 22.265°, n is the order of reflection = 1 and λ is the wavelength of the monochromatic radiation = 0.1542 nm.

dₕₖₗ = 1×0.1542/2sin 22.265°

dₕₖₗ = 0.2035 nm

But, interplanar spacing, dₕₖₗ is related to the plane (hkl), by the relation

√(h² + k² + l²) = a/dₕₖₗ

a is the lattice parameter.

Since Nickel has an FCC structure, a = 2R√2, R is given as 0.1242 nm

√(h² + k² + l²) = 2R√2/dₕₖₗ = (2×0.1246√2)/0.2035 = 1.732

(h² + k² + l²) = 1.732² = 3

The only 3 integers the values of h, k and l which fit properly into the equation is [111]

Therefore, the answer is [111].

Hope this Helps!!

When The set of planes responsible for this diffraction peak is the set. Then We need to calculate the interplanar of the spacing, dₕₖₗ for a nickel. dₕₖₗ = nλ/2 sin θ  Now where the θ = half of the diffraction angle is = 44.53°/2 = 22.265°, n is the order of the reflection = 1 and λ is the wavelength of the monochromatic radiation is = 0.1542 nm.  dₕₖₗ = 1×0.1542/2sin 22.265° dₕₖₗ = 0.2035 nm  So that, interplanar spacing, dₕₖₗ is related to the plane (hkl), by the relation are  

                                 √(h² + k² + l²) = a/dₕₖₗ  

                   lattice parameterize is  When the Nickel has an FCC structure, so that  = 2R√2, R is given as 0.1242 nm  

              =   √(h² + k² + l²) = 2R√2/dₕₖₗ = (2×0.1246√2)/0.2035 = 1.732  

                                   =    (h² + k² + l²) = 1.732² = 3

Then The only 3 integers are the values of h, k, and which is fit properly into the equation is 1

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Two equivalents of molecular halogen will react with and add to an alkyne. Complete the mechanism and draw the organic product. Include all lone pairs and nonzero formal charges.

Answers

Answer:

The drawing of the mechanism and the organic product is shown below.

Explanation:

Alkynes react with bromine to form a dihaloalkene (with an equivalent of the halogen) or a tetrahaloalkane derivative (with two equivalents of the halogen), which is this case. The triple bond adds two halogen molecules as shown in the drawing, an anti addition occurring.

How many electrons in an atom can have each of the following quantum number or sublevel designations?
(a) 4p
(b) n = 3, l = 1, ml = +1
(c) n = 5, l = 3

Answers

Answer :

(a) Number of electrons in an atoms is, 6

(b) Number of electrons in an atoms is, 2

(c) Number of electrons in an atoms is, 14

Explanation :

There are 4 quantum numbers :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of

Spin Quantum number : It describes the direction of electron spin. This is represented as . The value of this is  for upward spin and  for downward spin.

Number of electrons in a sublevel = 2(2l+1)

(a) 4p

n = 4

Value of 'l' for 'p' orbital : l = 1

At l = 1,  [tex]m_l=+1,0,-1[/tex]

Number of electrons in an atoms = 2(2l+1) = 2(2×1+1) = 6

(b) n = 3, l = 1, ml = +1

As we know that, a sublevel of 'p' orbital can accommodate 6 electrons but 1 orbital can accommodate only 2 electrons. So,

Number of electrons in an atoms for (ml = +1) = 2

(b) n = 5, l = 3

Number of electrons in an atoms = 2(2l+1) = 2(2×3+1) = 14

There are a given specific number of electrons that can be found in a particular orbital or energy level.

In an atom, electrons are arranged in orbitals. These orbitals lie within specific energy levels. There is a maximum number of electrons that can be found in a particular energy level as well as in a particular orbital.

The maximum number of electrons that can be found in the following orbitals and energy levels are shown below;

The 4p orbital contains six electrons since the p level is triply degenerate.The orbital designated by n = 3, l = 1, ml = +1 can only contain two electronsThe orbital designated as  n = 5, l = 3 refers to a 5f orbital which is seven fold degenerate hence it can contain a maximum of 14 electrons.

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The following values are the only allowable energy levels of a hypothetical one-electron atom:
E₆ = -2 x 10⁻¹⁹ J
E₅ = -7 x 10⁻¹⁹ J
E₄ = -11 x 10⁻¹⁹ J
E₃ = -15 x 10⁻¹⁹ J
E₂ = -15 x 10⁻¹⁹ J
E₁ = -15 x 10⁻¹⁹ J
(a) If the electron were in the n = 3 level, what would be the highest frequency (and minimum wavelength) of radiation that could be emitted? (b) What is the ionization energy (in kJ/mol) of the atom in its ground state? (c) If the electron were in the n = 4 level, what would be the shortest wavelength (in nm) of radiation that could be absorbed without causing ionization?

Answers

Answer:

Explanation:

a ) All the electronic levels below n = 3 have same energy so there will not be any evolution of energy in electronic transition from n=3 to n=2 or to  n= 1 .

b ) Ionisation energy of ground state = 15 x 10⁻¹⁹ J per electron

= 15 x 10⁻¹⁹ x 6.02 x 10²³ J / mol

= 90 x 10⁴ J/mol

= 900 kJ / mol

c )  the shortest wavelength (in nm) of radiation that could be absorbed without causing ionization will correspond to n = 4 to n = 6

= (11 - 2 ) x 10⁻¹⁹ J

= 9 X  10⁻¹⁹ J

= 9 X  10⁻¹⁹ J / 1.6 X 10⁻¹⁹

= 5.625 eV

= 1244 / 5.625 nm

= 221.155 nm

Suppose the half-life is 35.5 s for a first order reaction and the reactant concentration is 0.0700 M 28.6 s after the reaction starts. How many seconds after the start of the reaction does it take for the reactant concentration to decrease to 0.0063 M?

Answers

Answer:

It takes 151.9 s for the reactant concentration to decrease to 0.0063 M

Explanation:

k = ln2 / t1/2

k = ln2 / 35.5 s = 0.0195 s^-1

ln [A]t = -kt + ln [A]o

ln (0.0063) = -0.0195t + ln (0.0700)

t = 123.32 s

Since t is counted from 28.6 s as the initial time, the time after start of reaction to reach 0.0063 M is

28.6  + 123.32 s = 151.9 s

A lithium flame has a characteristic red color due to emissions of wavelength 671 nm. What is the mass equivalence of 1 mol of photons of this wavelength (1 J = 1 kg·m²/s²)?

Answers

Answer:

1.98x10⁻¹² kg

Explanation:

The energy of a photon is given by:

E= hc/λ

h is Planck's constant, 6.626x10⁻³⁴ J·s

c is the speed of light, 3x10⁸ m/s

and λ is the wavelenght, 671 nm (or 6.71x10⁻⁷m)

E = 6.626x10⁻³⁴ J·s * 3x10⁸ m/s ÷ 6.71x10⁻⁷m = 2.96x10⁻¹⁹ J

Now we multiply that value by Avogadro's number, to calculate the energy of 1 mol of such protons:

1 mol =  6.023x10²³ photons2.96x10⁻¹⁹ J *  6.023x10²³ = 1.78x10⁵ J

Finally we calculate the mass equivalence using the equation:

E=m*c²m=E/c²m =  1.78x10⁵ J / (3x10⁸ m/s)² = 1.98x10⁻¹² kg

The mass equivalence of 1 mole of photons of this wavelength is equal to [tex]1.78 \times 10^{-11} \;kg[/tex]

Given the following data:

Wavelength = 671 nm = [tex]6.71 \times 10^{11}[/tex] m.

We know that the speed of light is [tex]3 \times 10^8[/tex] m/s.

Planck constant = [tex]6.626 \times 10^{-34}\;J.s[/tex]

Avogadro constant = [tex]6.02 \times 10^{23}[/tex]

To determine the mass equivalence of 1 mole of photons of this wavelength:

First of all, we would calculate the energy associated with the photons of this wavelength by using the Planck-Einstein relation:

Mathematically, Planck-Einstein relation for photon energy is given by the formula:

[tex]E = hf = h\frac{v}{\lambda}[/tex]

Where:

E is the maximum kinetic energy.h is Planck constant.f is photon frequency.[tex]\lambda[/tex] is the wavelength.v is the speed of light.

Substituting the parameters into the formula, we have;

[tex]E = \frac{6.626 \times 10^{-34} \; \times \;3 \times 10^8 }{6.71 \times 10^{-7}} \\\\E = \frac{1.99 \times 10^{-25}}{6.71 \times 10^{-7}} \\\\E=2.96 \times 10^{-19} \;Joules[/tex]

For the energy of 1 mole of photons:

[tex]E = 2.96 \times 10^{-19} \times 6.02 \times 10^{23}\\\\E = 1.78 \times 10^5 \; Joules[/tex]

Now, we can find the mass equivalence of 1 mole of photons by using the formula:

[tex]E = mc^2\\\\m = \frac{E}{c^2} \\\\m = \frac{1.78 \times 10^5}{(3.0 \times 10^8)^2} \\\\m = \frac{1.78 \times 10^5}{(9.0 \times 10^{16})}\\\\m = 1.78 \times 10^{-11} \;kg[/tex]

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