I actually produced 11.2 grams of lithium chloride. What is my percent yield? Use the theoretical amount for problem #3

Answers

Answer 1
To calculate the percent yield, we first need to find the theoretical yield, which is the amount of product that should have been produced based on the balanced chemical equation and the amount of reactants used.

From problem #3, we know that the balanced chemical equation for the reaction is:

2Li + Cl2 → 2LiCl

The molar mass of Li is 6.94 g/mol, and the molar mass of Cl2 is 70.90 g/mol.

Based on the given mass of Li used (5.00 g), we can calculate the number of moles of Li:

moles of Li = mass of Li / molar mass of Li = 5.00 g / 6.94 g/mol ≈ 0.720 mol

Since the reaction uses 2 moles of Li for every 1 mole of Cl2, we need half as many moles of Cl2:

moles of Cl2 = moles of Li / 2 = 0.720 mol / 2 ≈ 0.360 mol

Now we can use the moles of Cl2 to calculate the theoretical yield of LiCl:

theoretical yield = moles of Cl2 * formula weight of LiCl

where formula weight of LiCl = atomic weight of Li + atomic weight of Cl = 6.94 g/mol + 35.45 g/mol = 42.39 g/mol

theoretical yield = 0.360 mol * 42.39 g/mol = 15.26 g

The theoretical yield of LiCl is 15.26 g.

To find the percent yield, we use the formula:

percent yield = (actual yield / theoretical yield) * 100%

Substituting the given values:

percent yield = (11.2 g / 15.26 g) * 100%

percent yield ≈ 73.4%

Therefore, the percent yield of LiCl is approximately 73.4%.

Related Questions

1. if 140.1 g of a noble gas occupies 40.75 l at 758 mm hg and 23.0 °c, what is its molar mass? which noble gas is it?

Answers

The closest molar mass to 86.4 g/mol is krypton (Kr), so the noble gas is likely krypton. To find the molar mass of the noble gas,

we need to use the ideal gas law equation:

PV = nRT,

where P is the pressure in atmospheres, V is the volume in liters, n is the number of moles, R is the gas constant (0.08206 L atm/mol K), and T is the temperature in Kelvin.

First, we need to convert the pressure and temperature given to atm and K, respectively.

758 mm Hg = 0.996 atm
23.0 °C = 296 K

Using the ideal gas law, we can solve for the number of moles:

n = PV/RT
n = (0.996 atm)(40.75 L)/(0.08206 L atm/mol K)(296 K)
n = 1.62 moles

Now, we can find the molar mass of the noble gas by dividing its mass by the number of moles:

molar mass = mass/number of moles
molar mass = 140.1 g/1.62 moles
molar mass = 86.4 g/mol

The molar mass of the noble gas is 86.4 g/mol. To determine which noble gas it is, we need to compare the molar mass to the molar masses of the known noble gases:

He: 4.00 g/mol
Ne: 20.18 g/mol
Ar: 39.95 g/mol
Kr: 83.80 g/mol
Xe: 131.29 g/mol

The closest molar mass to 86.4 g/mol is krypton (Kr), so the noble gas is likely krypton.

To know more about krypton click here:

https://brainly.com/question/2364337

#SPJ11

Protons neutralize a glutamate residue in the center of a c-subunit, allowing it to enter the membrane. True or False?

Answers

Aspartate residue in the centre of subunit C is neutralised by the protons as they enter the membrane through a half-channel of subunit A. Aspartate 61, a significant acidic amino acid, is present in each C-terminal helix. Hence it is true.

The protonation and deprotonation-capable sidechain of this residue is crucial for the rotation of the c ring. The rotor is propelled by protons flowing down a gradient through channels in the a subunit at the interface to the cn ring. This movement causes the catalytic nucleotide binding sites on the subunits to synthesise ATP from ADP and Pi and release product ATP from these sites.

To know more about Aspartate, click here:

https://brainly.com/question/25735714

#SPJ4

Indigo and/or Crystal violet can be used for: (select all that apply) a) Fabric dye. b) Stain in microbiology. c) Disinfectant. d) Ph indicator

Answers

Indigo and Crystal violet can be used for a) Fabric dye. b) Stain in microbiology. c) Disinfectant. d) Ph indicator.

Both substances can be used as a fabric dye (option a), as they provide vibrant colors and have been traditionally used in the textile industry. In microbiology, Crystal violet is specifically used as a stain (option b) for the Gram staining method to differentiate between Gram-positive and Gram-negative bacteria. While these compounds are not generally used as disinfectants (option c), they may possess some antimicrobial properties.

Finally, neither Indigo nor Crystal violet are commonly used as pH indicators (option d), as their color change properties do not correspond to specific pH values. In summary, Indigo and Crystal violet can be used for fabric dyeing and, specifically for Crystal violet, as a stain in microbiology. So, all the annswer is correct.

Learn more about gram staining at:

https://brainly.com/question/14044503

#SPJ11

Galvanized steel, used in construction and infrastructure, consists of steel (mostly iron) coated with an outer layer of zinc metal. How does galvanizing steel protect the steel from corrosion?

Answers

Galvanizing steel involves coating the steel with a layer of zinc metal, which acts as a sacrificial anode.

When the steel is exposed to corrosive elements, such as moisture or salt, the zinc layer corrodes instead of the steel. This process is known as cathodic protection. The zinc layer corrodes slowly over time, while the steel remains protected. Additionally, the zinc layer also provides a barrier between the steel and the environment, preventing direct contact and further reducing the risk of corrosion. Therefore, galvanizing steel helps to protect the steel from corrosion and prolongs its lifespan.
Hi! Galvanized steel, used in construction and infrastructure, consists of steel (mostly iron) coated with an outer layer of zinc metal. The process of galvanizing protects the steel from corrosion by providing a barrier between the steel and the environment, as well as offering sacrificial protection. The zinc layer corrodes preferentially, preventing the underlying steel from rusting and extending its lifespan.

Learn more about Galvanizing steel  here;

https://brainly.com/question/15592996

#SPJ11

using the thermodynamic information in the aleks data tab, calculate the standard reaction entropy of the following chemical reaction: ch3oh (g) co (g) hch3co2 (l)

Answers

The standard reaction entropy of the chemical reaction CH₃OH (g) + CO (g) → HCH₃CO₂ (l) is -270.1 J/(mol×K).

The standard reaction entropy of a chemical reaction can be calculated using the standard molar entropies of the reactants and products. The standard molar entropies, denoted as S°, are given in the Aleks data tab;

S°(CH₃OH, g) = 239.9 J/(molK)

S°(CO, g) = 197.9 J/(molK)

S°(HCH₃CO₂, l) = 167.7 J/(mol×K)

Balanced chemical equation for the reaction is;

CH₃OH (g) + CO (g) → HCH₃CO₂ (l)

The stoichiometric coefficients indicate that 1 mole of CH₃OH and 1 mole of CO react to produce 1 mole of HCH₃CO₂. Therefore, the standard reaction entropy can be calculated as follows;

ΔS°rxn = ΣnS°(products) - ΣnS°(reactants)

ΔS°rxn = 1S°(HCH3CO2, l) - [1S°(CH₃OH, g) + 1S°(CO, g)]

ΔS°rxn = (1)(167.7 J/(molK)) - [(1)(239.9 J/(molK)) + (1)(197.9 J/(mol*K))]

ΔS°rxn = -270.1 J/(mol×K)

To know more about standard reaction entropy here

https://brainly.com/question/19672393

#SPJ4

What is the atomic number of vanadium?​

Answers

The atomic number of vanadium is 23.

Which Of The Following Ions Is Usually Present In An Insoluble Ionic Compound? a. CH3COO−
b. NH4+
c. NO3
d. OH−
e. Na+

Answers

Answer:

D) . OH−

Explanation:

Ionic compounds that dissolve in water to generate a homogenous solution are frequently formed by ions with oppositely charged charges. The forces of attraction between ions with the same charges, on the other hand, are frequently too powerful to be overcome by the forces of attraction between the ions and the water molecules, resulting in the formation of insoluble compounds. Therefore, an anion with a negative charge, such as NO3- or OH-, is the ion that is typically present in an insoluble ionic combination. Only d. OH- is an anion with a negative charge, hence it is the only one of the choices that is the right response.

How does adding HCl cause the shift it does?

Answers

When HCl is added to a solution, it increases the concentration of hydrogen ions (H+) in the solution. This increase in H+ concentration can cause a shift in the equilibrium of a chemical reaction.

Specifically, it can cause a shift towards the side of the reaction that consumes or uses up H+ ions, in order to restore the balance of the solution. This shift is often referred to as the "Le Chatelier's principle", which states that a system at equilibrium will respond to a disturbance by trying to counteract the effect of that disturbance. .

Therefore, adding HCl can cause a shift in the equilibrium of a chemical reaction, depending on the specific reaction and its equilibrium constant.

Learn more about HCl  here:

https://brainly.com/question/29204122

#SPJ11

aldol condensation is a reaction between choose... and/or choose... . in addition to the organic product, choose... is also formed.

Answers

Aldol condensation is a reaction between ketones and/or aldehydes. In addition to the organic product, HCI is also formed.

Aldol condensation is a reaction between two carbonyl compounds, typically an aldehyde and a ketone, in the presence of a base catalyst. The reaction involves the formation of an enolate ion from one of the carbonyl compounds, which then attacks the carbonyl carbon of the other compound, leading to the formation of a beta-hydroxy carbonyl compound known as an aldol. The reaction is named after the aldol product that is formed, which can exist in both a cis and trans configuration.

In addition to the aldol product, water is also formed as a byproduct of the reaction. The mechanism of the reaction can involve both intra- and intermolecular reactions, leading to the formation of different types of aldols.

Overall, aldol condensation is an important reaction in organic chemistry, used in the synthesis of a variety of compounds, including pharmaceuticals and natural products. It is a versatile reaction that can be used to form carbon-carbon bonds and functionalize molecules in a variety of ways.

For more about Aldol condensation:

https://brainly.com/question/29995098

#SPJ11

calculate the ph of a solution containing a. 20 ml of 0.001 m hcl and 50 ml of 2.5 m sodium acetate. give the answer in two sig figs.

Answers

The pH of a solution containing a. 20 ml of 0.001 m hcl and 50 ml of 2.5 m sodium acetate is 6.8.

To calculate the pH of a solution containing 20 mL of 0.001 M HCl and 50 mL of 2.5 M sodium acetate, we can use the Henderson-Hasselbalch equation: pH = pKa + log ([A-]/[HA]), where pKa is the acid dissociation constant, [A-] is the concentration of the conjugate base (acetate ion), and [HA] is the concentration of the weak acid (acetic acid).

First, find the moles of HCl and sodium acetate in the solution:
- Moles of HCl = (20 mL)(0.001 M) = 0.02 moles
- Moles of sodium acetate = (50 mL)(2.5 M) = 125 moles

Next, we can calculate the total volume of the solution: 20 mL + 50 mL = 70 mL. To find the molarity of the resulting mixture, divide the moles by the total volume in liters:
- [HCl] = 0.02 moles / 0.07 L = 0.29 M
- [Sodium acetate] = 125 moles / 0.07 L = 1.8 M

Now, use the pKa of acetic acid (4.76) in the Henderson-Hasselbalch equation:
pH = 4.76 + log ([1.8]/[0.29]) = 4.76 + 2.07 = 6.83

Therefore, the pH of the solution is approximately 6.8 (rounded to two significant figures).

For more such questions on pH.

https://brainly.com/question/30934747#

#SPJ11

Which choice(s) contain(s) an isoelectronic pair in the ground state?
I. Mn2+/Fe3+ II. Ca/Ti2+ III. Cl–/Br–
IV. Zn2+/Cd2+ V. Cu+/Zn2+ a. III only III, b. IV only I c. only I, II, d. V only I, e. V only

Answers

The isoelectronic pairs are I, II, and V. Therefore, the correct answer is c. only I, II.

To determine if two species are isoelectronic, they must have the same number of electrons. Let's examine each pair:

I. Mn²⁺/Fe³⁺
Mn²⁺: Mn has 25 electrons, and Mn²⁺ has 23 electrons (lost 2).
Fe³⁺: Fe has 26 electrons, and Fe³⁺ has 23 electrons (lost 3).
This pair is isoelectronic.

II. Ca/Ti²⁺
Ca: Ca has 20 electrons.
Ti²⁺: Ti has 22 electrons, and Ti²⁺ has 20 electrons (lost 2).
This pair is isoelectronic.

III. Cl⁻/Br⁻
Cl⁻: Cl has 17 electrons, and Cl⁻ has 18 electrons (gained 1).
Br⁻: Br has 35 electrons, and Br⁻ has 36 electrons (gained 1).
This pair is not isoelectronic.

IV. Zn²⁺/Cd²⁺
Zn²⁺: Zn has 30 electrons, and Zn²⁺ has 28 electrons (lost 2).
Cd²⁺: Cd has 48 electrons, and Cd²⁺ has 46 electrons (lost 2).
This pair is not isoelectronic.

V. Cu⁺/Zn²⁺
Cu⁺: Cu has 29 electrons, and Cu⁺ has 28 electrons (lost 1).
Zn²⁺: Zn has 30 electrons, and Zn²⁺ has 28 electrons (lost 2).
This pair is isoelectronic.
Here you can learn more about isoelectronic pairs

https://brainly.com/question/29038515#

#SPJ11  

A similar experiment, to the one performed in this lab, involved dissolving lead (II) chloride,
PbCl2, in a 0.10 M solution of lead (II) nitrate, Pb(NO3)2. The chloride ion was then detected using
Fajan’s Method. Fajan’s Method involves titrating Cl- against silver nitrate to make AgCl. The
endpoint of the titration is observed when a dichlorofluorescein indicator changes from yellow to
pink.
d. According to Fajen’s method the [Cl-] = 0.00527 M. What is the Ksp of PbCl2?

Answers

Therefore, the Ksp of lead (II) chloride is 2.79 x 10⁻⁶.

What level of titration does Fajans' method reach?

The Kazimierz Fajans method, so named because it commonly uses dichlorofluorescein as an indicator, marks the end point when the green suspension turns pink. Chloride ions continue to be present in excess prior to the titration's end point. They adhere to the AgCl surface, giving the particles a negative charge.

The following equation accurately describes how lead (II) chloride dissolves in water:

lead (II) chloride(s) ⇌ Pb²⁺(aq) + 2Cl⁻(aq)

Lead (II) chloride's solubility product is expressed as follows:

Ksp = [Pb²⁺][Cl⁻]²

We are given the concentration of chlorine as 0.00527 M. Since lead (II) nitrate is a soluble salt, it completely dissociates into its constituent ions in water, which means that [Pb2+] = 0.10 M.

When we enter these values into the equation for the solubility product, we obtain:

Ksp = (0.10)(0.00527)2

= 2.79 x 10⁻⁶.

To know more about lead (II) chloride visit:-

https://brainly.com/question/26980915

#SPJ1

the active ingredient in a common treatment for upset stomach is sodium bicarbonate, nahco3. calculate the percent, by mass, of sodium in sodium bicarbonate.

Answers

The active ingredient in a common treatment for upset stomachs is sodium bicarbonate, Then the percent, by mass, of sodium in sodium bicarbonate is approximately 27.38%.

To calculate the percent by mass of sodium (Na) in sodium bicarbonate (NaHCO3), follow these steps:

1. Determine the molar mass of sodium (Na) and sodium bicarbonate (NaHCO3).
- Molar mass of Na = 22.99 g/mol
- Molar mass of NaHCO3 = (22.99 g/mol for Na) + (1.01 g/mol for H) + (12.01 g/mol for C) + (3 × 16.00 g/mol for O) = 22.99 + 1.01 + 12.01 + 48.00 = 84.01 g/mol

2. Calculate the mass percentage of sodium in sodium bicarbonate.
- Mass percentage of Na = (Molar mass of Na / Molar mass of NaHCO3) × 100
- Mass percentage of Na = (22.99 g/mol / 84.01 g/mol) × 100 = 27.37%

The percent by mass of sodium in sodium bicarbonate is 27.37%.

to learn more about sodium bicarbonate click here:

brainly.com/question/20693952

#SPJ11

To make 300 mL of oxygen at 20.0°C change its volume to 250 mL, what must be done to the sample if
its pressure and mass are to be held constant?

Answers

Answer:

Cool the sample to 16.6 °c

Explanation:

Cool the sample to 16.6 °c with the Charles's Law principle so that the volume is lower  (from 300 to 250 ml)

Further explanation

Charles's Law states that

When the gas pressure is kept constant, the gas volume is proportional to the temperature

V₁ / T₁ = V₂ / T₂

Given

V₁ = 300 ml

T₁= 20 C

V₂ = 250 ml

so

V₁ / T₁ = V₂ / T₂

T₂ =  (T₁*V₂)/V₁

T₂ =  (20*250)/300

T₂ = 16.6

https://brainly.ph/question/2749725

Answer:

Cool the sample to 16.6 °c

Explanation:

Cool the sample to 16.6 °c with the Charles's Law principle so that the volume is lower  (from 300 to 250 ml)

Further explanation

Charles's Law states that

When the gas pressure is kept constant, the gas volume is proportional to the temperature

V₁ / T₁ = V₂ / T₂

Given

V₁ = 300 ml

T₁= 20 C

V₂ = 250 ml

so

V₁ / T₁ = V₂ / T₂

T₂ =  (T₁*V₂)/V₁

T₂ =  (20*250)/300

T₂ = 16.6

https://brainly.ph/question/2749725

Solid ammonium sulfide is slowly added to 75.0 mL of a 0.428 M nickel(II) nitrate solution until the concentration of sulfide ion is 0.0509 M. What is the mass of nickel(II) ion remaining in solution (in grams)?

Answers

The balanced chemical equation for the reaction between ammonium sulfide and nickel(II) nitrate is:

(NH4)2S(aq) + Ni(NO3)2(aq) → NiS(s) + 2 NH4NO3(aq)

From the balanced equation, we can see that one mole of nickel(II) nitrate reacts with one mole of ammonium sulfide to form one mole of nickel(II) sulfide. Therefore, the initial moles of nickel(II) nitrate in solution can be calculated as:

moles Ni(NO3)2 = Molarity x Volume = 0.428 M x 0.0750 L = 0.0321 moles

Since the concentration of sulfide ion is given as 0.0509 M, the initial concentration of nickel(II) ion can be calculated using the stoichiometry of the balanced equation:

0.0509 M sulfide ion = 0.0254 M nickel(II) ion

This means that the initial moles of nickel(II) ion in solution is:

moles Ni2+ = Molarity x Volume = 0.0254 M x 0.0750 L = 0.00191 moles

During the reaction, all the nickel(II) ions will be used up to form nickel(II) sulfide. The moles of nickel(II) sulfide formed can be calculated as:

moles NiS = moles Ni(NO3)2 = 0.0321 moles

Using the molar mass of nickel(II) sulfide (90.76 g/mol), we can convert the moles of nickel(II) sulfide to grams:

mass NiS = moles NiS x molar mass NiS = 0.0321 moles x 90.76 g/mol = 2.92 g

Therefore, the mass of nickel(II) ion remaining in solution is:

mass Ni2+ = initial mass Ni2+ - mass NiS formed

mass Ni2+ = moles Ni2+ x molar mass Ni2+ - moles NiS x molar mass Ni2+

mass Ni2+ = 0.00191 moles x 58.69 g/mol - 0.0321 moles x 58.69 g/mol

mass Ni2+ = 0.0741 g

Therefore, the mass of nickel(II) ion remaining in solution is 0.0741 g.

Visit here to learn more about ammonium sulfide brainly.com/question/5523357
#SPJ11

The balanced chemical equation for the reaction between ammonium sulfide and nickel(II) nitrate is:

(NH4)2S(aq) + Ni(NO3)2(aq) → NiS(s) + 2 NH4NO3(aq)

From the balanced equation, we can see that one mole of nickel(II) nitrate reacts with one mole of ammonium sulfide to form one mole of nickel(II) sulfide. Therefore, the initial moles of nickel(II) nitrate in solution can be calculated as:

moles Ni(NO3)2 = Molarity x Volume = 0.428 M x 0.0750 L = 0.0321 moles

Since the concentration of sulfide ion is given as 0.0509 M, the initial concentration of nickel(II) ion can be calculated using the stoichiometry of the balanced equation:

0.0509 M sulfide ion = 0.0254 M nickel(II) ion

This means that the initial moles of nickel(II) ion in solution is:

moles Ni2+ = Molarity x Volume = 0.0254 M x 0.0750 L = 0.00191 moles

During the reaction, all the nickel(II) ions will be used up to form nickel(II) sulfide. The moles of nickel(II) sulfide formed can be calculated as:

moles NiS = moles Ni(NO3)2 = 0.0321 moles

Using the molar mass of nickel(II) sulfide (90.76 g/mol), we can convert the moles of nickel(II) sulfide to grams:

mass NiS = moles NiS x molar mass NiS = 0.0321 moles x 90.76 g/mol = 2.92 g

Therefore, the mass of nickel(II) ion remaining in solution is:

mass Ni2+ = initial mass Ni2+ - mass NiS formed

mass Ni2+ = moles Ni2+ x molar mass Ni2+ - moles NiS x molar mass Ni2+

mass Ni2+ = 0.00191 moles x 58.69 g/mol - 0.0321 moles x 58.69 g/mol

mass Ni2+ = 0.0741 g

Therefore, the mass of nickel(II) ion remaining in solution is 0.0741 g.

Visit here to learn more about ammonium sulfide brainly.com/question/5523357
#SPJ11

25.00 ml of 0.09334 m potassium phosphate reacts with 10.00 ml of 0.07662 m nickel chloride to form aqueous potassium chloride and solid nickel phosphate.

Answers

Potassium phosphate and nickel chloride react in a 3:2 ratio, forming potassium chloride and nickel phosphate as products.

The balanced chemical equation for this reaction is:

3 K3PO4(aq) + 2 NiCl2(aq) → 6 KCl(aq) + Ni3(PO4)2(s)

Using the given volumes and molarities, we can calculate the number of moles of each reactant:

moles of K3PO4 = (25.00 ml) x (0.09334 mol/L) x (1 L/1000 ml) = 0.02334 mol
moles of NiCl2 = (10.00 ml) x (0.07662 mol/L) x (1 L/1000 ml) = 0.0007662 mol

Next, we need to determine the limiting reactant. Since we need 3 moles of K3PO4 for every 2 moles of NiCl2, we can calculate the theoretical yield of Ni3(PO4)2 using both reactants:

using K3PO4: (0.02334 mol K3PO4) x (2 mol Ni3(PO4)2 / 3 mol K3PO4) = 0.01556 mol Ni3(PO4)2
using NiCl2: (0.0007662 mol NiCl2) x (1 mol Ni3(PO4)2 / 2 mol NiCl2) = 0.0003831 mol Ni3(PO4)2

Since the theoretical yield from NiCl2 is lower, it is the limiting reactant. Therefore, we can use the moles of NiCl2 to calculate the actual yield of Ni3(PO4)2:

actual yield = (0.0003831 mol Ni3(PO4)2) x (341.84 g/mol Ni3(PO4)2) = 0.1309 g Ni3(PO4)2

Finally, we can calculate the concentrations of the aqueous products using the volumes and moles of the reactants:

KCl: (6 mol KCl / 2 mol Ni3(PO4)2) x (0.0003831 mol Ni3(PO4)2) x (1000 ml / 35.00 ml) = 0.06537 M
Ni3(PO4)2 is a solid, so its concentration is zero.

Learn more about potassium here: brainly.com/question/13321031

#SPJ11

what is the ph of a solution prepared by mixing 50.00 ml of 0.10m nh3 with 20.00 ml of 0.010 nh4cl? assume that the volume of the solutions are additive and that ka=1.8×10−5 for nh3

Answers

To find the pH of the solution, we need to calculate the concentrations of [tex]NH_{3}[/tex] and[tex]NH_{4}^{+}[/tex]in the mixed solution and then use the equilibrium constants to determine the concentration of [tex]H_{3} O^{+}[/tex] ions. the pH of the solution is approximately 11.43.

Calculate the moles of [tex]NH_{3}[/tex] and [tex]NH_{4}^{+}[/tex]:

n([tex]NH_{3}[/tex]) = 0.050 L x 0.10 mol/L = 0.005 mol

n([tex]NH_{4}^{+}[/tex]) = 0.020 L x 0.010 mol/L = 0.0002 mol

Calculate the total volume of the mixed solution:

V = 0.050 L + 0.020 L = 0.070 L

Calculate the concentrations of [tex]NH_{3}[/tex] and [tex]NH_{4}^{+}[/tex] in the mixed solution:

[[tex]NH_{3}[/tex]] = n([tex]NH_{3}[/tex]) / V = 0.005 mol / 0.070 L = 0.071 M

[[tex]NH_{4}^{+}[/tex]] = n([tex]NH_{4}^{+}[/tex]) / V = 0.0002 mol / 0.070 L = 0.0029 M

Calculate the concentration of [tex]OH^{-}[/tex] ions from the reaction between [tex]NH_{3}[/tex] and [tex]H_{2} O[/tex]:

Kb = [[tex]NH_{4}^{+}[/tex]][[tex]OH^{-}[/tex]] / [[tex]NH_{3}[/tex]] = 1.8 x [tex]10^{-5}[/tex]

[[tex]OH^{-}[/tex]] = sqrt(Kb[[tex]NH_{3}[/tex]]) = sqrt(1.8 x [tex]10^{-5}[/tex]  x 0.071) = 2.68 x [tex]10^{-3}[/tex] M

Calculate the concentration of [tex]H_{3} O^{+}[/tex] ions from the ion product constant:

Kw = [[tex]H_{3} O^{+}[/tex]][[tex]OH^{-}[/tex]] = 1.0 x [tex]10^{-14}[/tex]

[[tex]H_{3} O^{+}[/tex]] = Kw / [[tex]OH^{-}[/tex]] = 1.0 x [tex]10^{-14}[/tex] / 2.68 x [tex]10^{-3}[/tex] M = 3.73 x [tex]10^{-12}[/tex] M

Calculate the pH of the solution:

pH = -log[[tex]H_{3} O^{+}[/tex]] = -log(3.73 x [tex]10^{-12}[/tex]) = 11.43

Therefore, the pH of the solution is approximately 11.43.

Learn more about pH

https://brainly.com/question/30934747

#SPJ4

60. What is surface tension, and what conditions must exist
for it to occur?

Answers

The higher attraction of liquid particles to one another compared to the molecules within air at liquid-air contacts causes surface tension.

Surface tension being a chemical phenomena brought through a cohesive force, which has electrical energy as its primary source. The total length or the line or the surface region of the film have no bearing on the kind of a liquid's surface tension.

The higher attraction of liquid particles to one another (because to cohesion) compared to the molecules within air itself (due to adhesion) at liquid-air contacts causes surface tension. There are primarily two mechanisms at work.

To know more about Surface tension, here:

https://brainly.com/question/11348644

#SPJ1

Rank the following anions in terms of their base strength, beginning with the weakest and ending with the strongest: HCO3-, Br-, OH-
a. HCO3- < Br- < OH-
b. OH- < Br- < HCO3-
c. Br- < HCO3- < OH-
d. Br- < OH- < HCO3-

Answers

The correct order, beginning with the weakest and ending with the strongest base, is:

a. HCO3- < Br- < OH-

This means that HCO3- is the weakest base, followed by Br-, and finally, OH- is the strongest base among the given anions.

Basicity is the number of replaceable hydrogen atoms in a particular acid. Conjugate acid of a weak base is always stronger and conjugate base of weak acid is always strong. The larger the Kb, the stronger the base and the higher the OH− concentration at equilibrium

For more questions of weak bases: https://brainly.com/question/16901512

#SPJ11

What other reactions have we seen, besides the condensation reaction featured in this lab, that rely on the principle of umpolung? Friedel-Crafts Reactions. Hydrolysis Reactions. Grignard Reactions. O Fischer Esterification Reactions.

Answers

Other reactions have we seen, besides the condensation reaction featured in this lab, that rely on the principle of umpolung include Friedel-Crafts, Hydrolysis, Grignard, and Fischer Esterification Reactions.

Friedel-Crafts reactions involve the alkylation or acylation of aromatic rings using electrophilic species, generated through the reaction between a Lewis acid and a haloalkane or acid halide. Hydrolysis reactions often involve breaking a covalent bond by adding water, resulting in the inversion of the original polarity.

Grignard reactions involve the nucleophilic attack of a Grignard reagent, an organomagnesium compound, on carbonyl groups, leading to the formation of alcohols. Lastly, Fischer Esterification reactions involve the conversion of carboxylic acids to esters in the presence of an alcohol and an acid catalyst, exemplifying umpolung by using electrophilic and nucleophilic centers to create new bonds. Other reactions have we seen, besides the condensation reaction featured in this lab, that rely on the principle of umpolung include Friedel-Crafts, Hydrolysis, Grignard, and Fischer Esterification Reactions.

Learn more about nucleophilic at:

https://brainly.com/question/29910163

#SPJ11

Other reactions have we seen, besides the condensation reaction featured in this lab, that rely on the principle of umpolung include Friedel-Crafts, Hydrolysis, Grignard, and Fischer Esterification Reactions.

Friedel-Crafts reactions involve the alkylation or acylation of aromatic rings using electrophilic species, generated through the reaction between a Lewis acid and a haloalkane or acid halide. Hydrolysis reactions often involve breaking a covalent bond by adding water, resulting in the inversion of the original polarity.

Grignard reactions involve the nucleophilic attack of a Grignard reagent, an organomagnesium compound, on carbonyl groups, leading to the formation of alcohols. Lastly, Fischer Esterification reactions involve the conversion of carboxylic acids to esters in the presence of an alcohol and an acid catalyst, exemplifying umpolung by using electrophilic and nucleophilic centers to create new bonds. Other reactions have we seen, besides the condensation reaction featured in this lab, that rely on the principle of umpolung include Friedel-Crafts, Hydrolysis, Grignard, and Fischer Esterification Reactions.

Learn more about nucleophilic at:

https://brainly.com/question/29910163

#SPJ11

1) Assume that you mixed HCl and CuSO4 solutions. If a reaction would have occured, write an equation for the reaction. If no reaction occurs, explain why.
2) Zn is less active than Mg. Write the equations describing what occurs when you mix: (shown below)
a) Zn with 0.5M magnesium chloride, MgCl2. (If no reaction occurs, write "No Reaction")
b) Mg with 0.5M ZnCl2. (If no reaction occurs, write "No Reaction")
3) Explain which metal, Cu, Fe, or Al, would be most affected by acid rain?
4) Will acidic foods cooked in a cast iron skillet become Fe2+ enriched because of a reaction between the acidic food and the skillet? Explain why.

Answers

1. An equation for the reaction HCl and CuSO₄ is 2HCl + CuSO₄ → CuCl₂ + H₂SO₄.

2a. Zn is mixed with 0.5M magnesium chloride, MgCl₂, no reaction.

b. Mg is mixed with 0.5M ZnCl₂ is Mg + ZnCl₂ → Zn + MgCl₂.

3. The metals Cu, Fe, and Al, aluminum would be the most affected by acid rain because it reacts readily with acids.

4. Acidic foods cooked in a cast iron skillet may become Fe₂⁺ enriched because of a reaction between the acidic food and the skillet.

If HCl and CuSO₄ are mixed, a reaction occurs because HCl is a strong acid and CuSO₄ is a salt of a weak acid (H₂SO₄). The balanced equation for the reaction is:

2HCl + CuSO₄ → CuCl₂ + H₂SO₄

The products are CuCl₂ and H₂SO₄.

When Zn is mixed with 0.5M magnesium chloride, MgCl₂, no reaction occurs because Zn is less active than Mg. The balanced equation for the reaction is: No Reaction.

When Mg is mixed with 0.5M ZnCl₂, Mg displaces Zn from its compound because Mg is more active than Zn. The balanced equation for the reaction is:

Mg + ZnCl₂ → Zn + MgCl₂

The products are Zn and MgCl₂.

Of the metals Cu, Fe, and Al, aluminum would be the most affected by acid rain because it reacts readily with acids. The balanced equation for the reaction between aluminum and hydrochloric acid (HCl) is:

2Al + 6HCl → 2AlCl₃ + 3H₂

The products are aluminum chloride (AlCl₃) and hydrogen gas (H₂).

The iron in the skillet can react with the acid in the food, forming iron ions (Fe₂⁺) and hydrogen gas (H₂). However, this depends on the type of acidic food and the condition of the skillet. If the skillet is well-seasoned, it may not react with the food. Additionally, acidic foods cooked in a cast iron skillet can be a good source of dietary iron, but the amount of iron absorbed by the body can vary depending on the type of food and cooking method.

Learn more about acid rain: https://brainly.com/question/22143130

#SPJ11

You make a solution of a weak acid with a pH of 3.75 and the pKa is 5.42 1. Is the solution acidic or basic? 2. Calculate the [H30]. 3. Calculate the pOH 4. Calculate the [OH] 5. Calculate the pKo 6. Calculate the Kb

Answers

The solution is acidic, and the [H₃O⁺] is 1.78 x 10⁻⁴ M. The pOH is 10.25, the [OH-] is 5.62 x 10⁻¹¹ M, the pKw is 14, and the Kb is 3.16 x 10⁻⁹.


1. Since the pH is less than 7, the solution is acidic.


2. To calculate the [H₃O⁺], use the formula pH = -log[H₃O⁺]. Rearrange to [H₃O⁺] = [tex]10^-^p^H[/tex]=  [tex]10^-^3^.^7^5[/tex] = 1.78 x 10⁻⁴ M.


3. Calculate the pOH by subtracting the pH from 14: pOH = 14 - 3.75 = 10.25.


4. To calculate the [OH⁻], use the formula pOH = -log[OH⁻]. Rearrange to [OH-] = [tex]10^-^p^O^H[/tex] = [tex]10^-^1^0^.^2^5[/tex] = 5.62 x 10⁻¹¹ M.


5. The pKw (ion product constant of water) is always 14 at 25°C.


6. Calculate the Kb using the relationship Ka * Kb = Kw. First, convert pKa to Ka: Ka = [tex]10^-^p^K^_a[/tex] = [tex]10^-^5^.^4^2[/tex] . Then, Kb = Kw / Ka = 10⁻¹⁴ /  [tex]10^-^5^.^4^2[/tex]  = 3.16 x 10⁻⁹.

To know more about ion product constant click on below link:

https://brainly.com/question/9876097#

#SPJ11

benzaldehyde and acetone undergo a double aldol condensation. why can this occur?

Answers

Benzaldehyde and acetone can undergo double aldol condensation due to the presence of alpha hydrogen on both sides of acetone and the presence of the carbonyl group in both reactants.

In a double aldol condensation, benzaldehyde (an aldehyde with a carbonyl group) reacts with acetone (a ketone with a carbonyl group). This reaction can occur because:

1. Both benzaldehyde and acetone have carbonyl groups (C=O) which are essential for the aldol condensation reaction to take place.
2. Benzaldehyde has no alpha-hydrogens, so it cannot form an enolate ion. This means that it can only act as an electrophile (electron acceptor) in the reaction.
3. Acetone, on the other hand, has alpha-hydrogens that can form an enolate ion, making it a nucleophile (electron donor) in the reaction.

In the double aldol condensation, the enolate ion of acetone attacks the carbonyl carbon of benzaldehyde twice, resulting in the formation of a β-hydroxy ketone. This β-hydroxy ketone can then undergo dehydration to form an α,β-unsaturated ketone as the final product.

Learn more about Aldol condensation here: https://brainly.com/question/29995098

#SPJ11

The equilibrium constant for the reaction A(g) → B(g)is 102. A reaction mixture initially contains [A] = 22.4M and [B] = 0.0M. Which statement is true at equilibrium?

a. The reaction mixture contains[A] = 1.0M and [B] = 21.4M. b). The reaction mixture contains [A] = 22.2M and [B] = 0.2M. c). The reaction mixture contains [A] = 0.2Mand [B] = 22.2M. d). The reaction mixture contains [A] = 11.2M and [B] = 11.2M.

Answers

The reaction mixture contains [A] = 22.2M and [B] = 0.2M. (B)

This is because the equilibrium constant, Kc, tells us the ratio of the concentration of products to reactants at equilibrium. In this case, Kc = [B]/[A] = 102. Therefore, as the reaction proceeds, the concentration of A will decrease while the concentration of B will increase until they reach equilibrium.

Using the equilibrium constant expression, [B]/[A] = 102, and the initial concentration of A, [A] = 22.4M, we can solve for the equilibrium concentrations of A and B. [B]/[A] = 102 = [B]/22.4 - [B], which gives [B] = 0.2M and [A] = 22.2M.

The equilibrium constant (Kc) is a ratio of products to reactants at equilibrium. In this case, the reaction A(g) → B(g) has a Kc of 102. The initial concentrations of A and B are given as [A] = 22.4M and [B] = 0.0M. As the reaction proceeds, the concentration of A will decrease and the concentration of B will increase.

At equilibrium, the ratio of [B]/[A] will be equal to Kc. Using the equilibrium constant expression, [B]/[A] = 102, we can solve for the equilibrium concentrations of A and B. [B]/[A] = 102 = [B]/22.4 - [B], which gives [B] = 0.2M and [A] = 22.2M. (B)

To know more about equilibrium constant click on below link:

https://brainly.com/question/31321186#

#SPJ11

Find the pH of each mixture of acids. 0.190 m in hcho2 (ka=1.8×10−4) and 0.220 m in hc2h3o2 (ka=1.8×10−5)

Answers

The pH of each mixture of acids: 0.190 M in HCHO₂ (ka = 1.8 × 10⁻⁴) and 0.220 M in HC₂H₃O₂ (ka = 1.8×10⁻⁵) is 2.72

To find the pH of each mixture of acids, we need to use the following equation:

Ka = [H⁺][A⁻]/[HA]

where Ka is the acid dissociation constant, [H₊] is the hydrogen ion concentration, [A⁻] is the concentration of the conjugate base, and [HA] is the concentration of the acid.

For the first acid, HCHO₂, the Ka value is 1.8×10⁻⁴. Let x be the concentration of [H⁺]. Then the concentrations of [CHO₂⁻] and [HCHO₂] are both (0.190 - x). Substituting these values into the equation above, we get:

1.8×10⁻⁴ = x₂ / (0.190 - x)

Solving for x, we get x = 0.0067 M. Therefore, the pH of the solution is:

pH = -log(0.0067) = 2.17

For the second acid, HC₂H₃O₂, the Ka value is 1.8×10⁻⁵. Let y be the concentration of [H⁺]. Then the concentrations of [C₂H₃O₂⁻] and [HC₂H₃O₂] are both (0.220 - y). Substituting these values into the equation above, we get:

1.8×10⁻⁵ = y² / (0.220 - y)

Solving for y, we get y = 0.0019 M. Therefore, the pH of the solution is:

pH = -log(0.0019) = 2.72



Thus, the pH of each mixture of acids is 2.72.

Learn more about pH: https://brainly.com/question/29442555

#SPJ11

if the equilibrium partial pressure of no2 is 0.053 atm and the equilibrium partial pressure of n2o4 is 1.28 atm at 25°c, what is the kp value for the reaction at 25°c?

Answers

Kp value for the reaction at 25°C is approximately 456.03. To solve for the Kp value, we can use the equation:

Kp = (P(NO2))^2 / P(N2O4)

Substituting the given values, we get:
Kp = (0.053)^2 / 1.28
Kp = 0.0022
Therefore, the Kp value for the reaction at 25°C is 0.0022.

To calculate the Kp value for the reaction at 25°C, we first need to identify the balanced chemical equation for the reaction:

2 NO2 (g) ⇌ N2O4 (g)

Next, we'll use the given equilibrium partial pressures:

NO2 = 0.053 atm
N2O4 = 1.28 atm

Now, we can calculate the Kp value using the formula:

Kp = [N2O4] / [NO2]^2

Substitute the values:

Kp = (1.28) / (0.053)^2

Kp ≈ 456.03

The Kp value for the reaction at 25°C is approximately 456.03.

To know more about equilibrium partial pressures: brainly.com/question/14928532

#SPJ11

using your current knowledge of polarity, explain why there is an observed difference between the miscibility or ethanol and 1-hexanol.

Answers

The observed difference in miscibility between ethanol and 1-hexanol is due to their varying degrees of polarity. Ethanol's higher polarity allows for greater miscibility, while 1-hexanol's lower polarity, influenced by its longer hydrocarbon chain, results in reduced miscibility in polar solvents.

The observed difference in miscibility between ethanol and 1-hexanol can be explained by their difference in polarity. Ethanol is a polar molecule due to the presence of a hydroxyl (-OH) group, which allows it to form hydrogen bonds with other polar molecules. On the other hand, 1-hexanol is also a polar molecule due to the presence of a hydroxyl (-OH) group, but it also has a long nonpolar hydrocarbon chain, which decreases its overall polarity. As a result, ethanol is more polar and can form stronger intermolecular forces with other polar molecules like water, whereas 1-hexanol is less polar and has weaker intermolecular forces with polar molecules like water. Therefore, ethanol is more miscible with water than 1-hexanol.
Explanation for the difference in miscibility between ethanol and 1-hexanol, considering polarity.
Ethanol is a polar molecule due to the presence of the hydroxyl group (-OH), which forms hydrogen bonds. This allows ethanol to be miscible with other polar solvents, such as water. On the other hand, 1-hexanol has a longer hydrocarbon chain and only one hydroxyl group. Although the hydroxyl group is polar, the longer hydrocarbon chain has a significant non-polar character. This makes 1-hexanol less miscible in polar solvents compared to ethanol.
In summary, the observed difference in miscibility between ethanol and 1-hexanol is due to their varying degrees of polarity. Ethanol's higher polarity allows for greater miscibility, while 1-hexanol's lower polarity, influenced by its longer hydrocarbon chain, results in reduced miscibility in polar solvents.

To learn more about miscibility, click here:

brainly.com/question/1593906

#SPJ11

Which of the following best accounts for the fact that a galvanic cell based on the reaction represented above will generate electricity?
Cl2 can easily lose two electrons.
Cl2 is a stronger oxidizing agent than I2.
I atoms have more electrons than do atoms of Cl.
I- is more stable species than I2.
I2(s) is more soluble than Cl2(g).

Answers

The fact that a galvanic cell based on the reaction represented above will generate electricity can be [tex]Cl_{2}[/tex] is a stronger oxidizing agent than [tex]I_{2}[/tex].

[tex]Cl_{2}[/tex] is a stronger oxidizing agent than [tex]I_{2}[/tex], meaning it is more likely to accept electrons and be reduced. This creates a potential difference between the two half-cells of the galvanic cell, allowing for the generation of electricity. Additionally, I atoms have more electrons than Cl atoms, making [tex]I_{2}[/tex] a more easily reducible species than  [tex]Cl_{2}[/tex]. This also contributes to the potential difference between the half-cells.

While I- is a more stable species than [tex]I_{2}[/tex], this does not necessarily explain the generation of electricity in the galvanic cell. Similarly, the solubility of [tex]I_{2}[/tex] and  [tex]Cl_{2}[/tex] does not have a direct impact on the cell's ability to generate electricity. In summary, the difference in the oxidation potentials of  [tex]Cl_{2}[/tex] and [tex]I_{2}[/tex] is the primary factor contributing to the generation of electricity in the galvanic cell based on the given reaction.

know more about galvanic cell here:

https://brainly.com/question/29765093

#SPJ11

prove that for any constant, k, logk n = o(n)

Answers

To prove that for any constant, k, log k n = o(n), we need to show that the function log k n grows slower than n for any positive constant k.

Step 1: Define the function log k n and n.
log k n is a logarithmic function with base k, where k is a constant greater than 1, and n is the input variable.
n is a linear function, where n is the input variable.

Step 2: Recall the definition of o-notation.
A function f(n) is said to be o(g(n)) if, for every positive constant c, there exists a positive integer N such that 0 ≤ f(n) < c*g(n) for all n > N.

Step 3: Prove that logk n = o(n) using the definition of o-notation.
We need to show that for every positive constant c, there exists a positive integer N such that 0 ≤ logk n < c*n for all n > N.

Let c be any positive constant. Since logk n grows slower than n as n increases, we can find an N such that the inequality 0 ≤ logk n < c*n holds true for all n > N.

For example, let's take the base of the logarithm, k > 1, and c = 1. As n grows, logk n will increase at a slower rate compared to n. There will be an N beyond which the inequality 0 ≤ logk n < n holds true for all n > N.

Hence, we have proved that for any constant, k, logk n = o(n).

To learn more about o-notation, visit:

https://brainly.com/question/31480771

#SPJ11

If spin is not considered, how many different wave functions correspond to the first excited level n = 2 for hydrogen?

Answers

There are 3 different wave functions that correspond to the first excited level n=2 for hydrogen if spin is not considered.

For a hydrogen atom in the first excited state (n=2), there are two possible sublevels: the 2s sublevel and the 2p sublevel. Each sublevel has a different number of wave functions associated with it.

For the 2s sublevel, there is only one wave function, which is spherically symmetric and has no nodes. This wave function describes the probability of finding the electron at different distances from the nucleus.

For the 2p sublevel, there are three wave functions, corresponding to the three possible orientations of the electron's angular momentum vector. These wave functions are not spherically symmetric and have one nodal plane each. The nodal planes correspond to regions of zero probability of finding the electron.

Therefore, if spin is not considered, there are a total of four wave functions corresponding to the first excited level n = 2 for hydrogen: one for the 2s sublevel and three for the 2p sublevel.

It is worth noting that when spin is considered, each of these wave functions can accommodate two electrons (one with spin up and one with spin down), due to the Pauli exclusion principle. This means that the first excited level can hold a maximum of four electrons (two in the 2s sublevel and two in the 2p sublevel).

To know more about the wave functions refer here :

https://brainly.com/question/17484291#

#SPJ11

Other Questions
find the probability that among 1030 randomly selected voters, at least 771 did vote contrast the roles of trna and mrna during translation, and list all enzymes that participate in the translation process. the british presence in india group of answer choices started with the interjection of the british military around 1700. was welcomed by the indigenous ruling elites. did not formally end until just after world war ii. had little lasting effect on indian society. The perimeter of a sector of a circle with radius 8cm is 26cm.Calculate the angle of this sector. if the parallax angle for star a is 1 arcsecond what is the distance from the sun to star a carla vista corporation has fixed costs of $460,800. it has a unit selling price of $8, unit variable cost of $6.40, and a target net income of $1,440,000. Compute the required sales in units to achieve its target net income.Required sales___ units how many kilograms are in 16 lb? (hint: 2.20 lb = 1 kg and treat this conversion as exact) ACCOUNTINGDifferential Analysis for a Lease-or-sell DecisionStowe Construction Company is considering selling excess machinery with a book value of $280,200 (original cost of $399,900 less accumulated depreciation of $119,700) for $277,800, less a 5% brokerage commission. Alternatively, the machinery can be leased for a total of $286,800 for 5 years, after which it is expected to have no residual value. During the period of the lease, Stowe Construction Company's costs of repairs, insurance, and property tax expenses are expected to be $24,900. Why does a heart chamber (lumen) get smaller and force the blood out through a valve when cardiac muscle is stimulated to shorten? Signals from voluntary motor neurons cause calcium to activate sarcomeres. Muscle fibers wrap around each of the chambers of the heart. Cardiac muscle does not shorten end-to-end but, rather, toward the middle. All of the above. None of the above. Read each sentence. Then determine which sentence uses the fo/too homophone correctly.O In order too become a park ranger with the National Park Service, you have to earn a bachelor's degree from a college or university.O Park rangers' work may vary from maintaining picnic tables to removing invasive species from a forest.O It's common for park rangers too transition from a job in law enforcement to a job in the National Park Service.O Most would-be rangers work in various positions for two too three years to prepare them for anything they may encounter. 1) Identify a source of interest to you. Provide the bibliographic information for the reader.2) Summarize the source in at least two well developed paragraphs. Identify the main point of the article as well as the evidence advanced in support of it.3) Significance. Identify the significance of the sourcewhy is it important?what practical or theoretical consequences might follow from the main point?what limitations, objections, or weaknesses might be present that could serve to undermine the significance of the source?4) Explain what you learned about philosophy as a whole; would you recommend that our class address the themes covered in the source? Why or why not?5) Recommendation: One a scale of 1-5, with five being the highest, rank the quality and importance of this article. Be sure to explain your ranking.https://aeon.co/essays/natural-laws-cant-be-broken-but-can-they-be-defined When you swim in the ocean or a lake at night, the water may feel pleasantly warm even when the air is quite cool. Why? What makes a good thesis statement for an informational essay? Check all that apply:- Tells the reader the central message of the essay - A declarative statement that is clear and concise - Takes a strong stance on one side of a topic - Involves persuasion write an example descending social mobility If statements_____ Choose one. a. Always have a then section which evaluates if true b. can skip the else segment C. cannot call functions within the condition or the segments O d. a &b e. a & b&c All DNA is composed of the four bases shown in the table. How is the pattern in the data useful for developing a model of DNA? If arbitrage opportunities are to be ruled out, each well-diversified portfolio's expected excess return must be A. inversely proportional to the risk-free rate. B. inversely proportional to its standard deviation. C. proportional to its weight in the market portfolio. D. proportional to its standard deviation. E. proportional to its beta coefficient. sin2x=please help!! Provide an appropriate response. Describe the steps involved when using stratified random sampling. What are the advantages of this sampling method? Select one: a. Obtain a random sample in which every member of the population has an equal chance of entering the sample: Number the population members from 1 to N. Use a random number table to obtain a list of n random numbers between 1 and N. Select the population members corresponding to those n numbers and interview all n sample members. b. The population is first divided into subpopulations. From each stratum, a simple random sample is obtained whose size is proportional to the size of the subpopulation. The advantage of this method is that it ensures that no subpopulation is missed. c. Sampling in naturally occurring groups can save time when members of the population are widely scattered geographically. The disadvantage is that members of a group may be more homogeneous than the members of the population as a whole and may not mirror the entire population. d. None of these is correct. Find the k-Component of curl(F) for the vector fields on the plane.F=(x + y)i + (2xy)j