Fill in the [?]:
82 ul = [?]x10^[?] L

Fill In The [?]:82 Ul = [?]x10^[?] L

Answers

Answer 1

Answer:

8.2×10¯⁵ L

Explanation:

82 μL.

We can convert 82 μL to L by doing the following:

To convert from microlitre (μL) to litre(L), we need to know how many microlitre (μL) that makes up a litre (L)

Recall:

1 μL = 1×10¯⁶ L

Therefore,

82 μL = 82 μL × 1×10¯⁶ L/1 μL

82 μL = 8.2×10¯⁵ L

Therefore, 82 μL is equivalent to 8.2×10¯⁵ L


Related Questions

Which of the following definitions best describes the term "vapor pressure?a. Pressure and temperature values on a phase diagram where two phases of a substance coexist. b. In equilibrium with the liquid phase, the pressure exerted by a gas. c. Aspecific temperature and pressure at which the liquid and gas phases of a substance have the same density and are indistinguishable from each other. d. The temperature and pressure at which all three phases of a substance coexist. Under these conditions, freezing and melting, boiling and liquefaction, and sublimation and deposition all proceed at the same rate. e. The temperature at which the vapor pressure of a liquid equals 1 atm.

Answers

Answer:

b. In equilibrium with the liquid phase, the pressure exerted by a gas.

Explanation:

When a liquid is warmed up to a temperature , it starts vaporising . The liquid is turning into gas and gas is turning into liquid at different rates  . Initially the rate of former is higher but gradually the difference of rate between them decreases to zero . At this point the rate of conversion of liquid into gas and rate of conversion of gas into liquid becomes equal  . This is called dynamic equilibrium point .

If we change the temperature , the equilibrium gets disturbed .

At this point the pressure exerted by the gas is called the vapour pressure of the liquid .

So option b ) is correct .

At the equilibrium point, the pressure exerted by the gas molecules to the liquid molecules has been termed the Vapor pressure. Thus, statement b is correct.

The vaporization has been the process of conversion of liquid to the gaseous state with the rise in temperature. The liquids attaining a certain temperature have been vaporized into the gaseous state.

Initially, the gas phase has been less in concentration, thus the rate of formation of gas has been greater.

After a certain amount of time, the gas phase starts to cool down and converts to the liquid state. The rate of formation of the liquid has been slower.

The time when the rate of formation of liquid, and the rate of formation of gas has been equal is termed as the equilibrium point. At the equilibrium point, the pressure exerted by the gas molecules to the liquid molecules has been termed the Vapor pressure.

Thus, statement b is correct.

For more information about the Vapor pressure, refer to the link:

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The mass of a solid substance is 21.112 g. If the volume of the solid substance is 19.5 cm3, calculate the density of the substance (in g/cm3) with the correct number of significant digits. The density is g/cm3.

Answers

Answer:

ρ = 1.08 g/cm³

Explanation:

Step 1: Given data

Mass of the substance (m): 21.112 g

Volume of the substance (V): 19.5 cm³

Step 2: Calculate the density of the substance

The density (ρ) of a substance is equal to its mass divided by its volume.

ρ = m / V

ρ = 21.112 g / 19.5 cm³

ρ = 1.08 g/cm³

The density of the substance is 1.08 g/cm³.

Is solar radiation a natural force or a human effect?

Answers

Answer:

i think its natural . it is the natural process

Answer:

Solar radiation falls into the category of natural forces.

Explanation:

Natural forces don’t have a strong effect on recent global temperatures. The natural forces line begins to drop around 1950 and does not track with the observed temperature line. On the other hand, the human effects line rises upward with the observed temperatures, so it’s a stronger effect.

Brainilest?

How many grams of gold are there in 0.353 moles of gold?

Answers

Answer: Approximately 69.5 grams of gold (Au).

Explanation:

mol = mass / molar mass

We are already given the moles of gold, 0.353. Looking at a periodic table, we cna bserve that the approximate molar mass of gold is 196.97 (I got this from ptable.com).

Plugging this into the formula above, it will look like this:

0.353 mol Au = mass / (196.97 g/mol)       (in any science class, do not forget about writing your units)

To get mass by itself, multiply both sides of the equation by 196.97 g/mol.

This yields that the mass is equal to 69.5 grams. As you can see, the units of "mol" cancel out: 0.353 mol AU * (196.97 g/mol)

The reason why I rounded my answer to 69.5 grams instead of, let's say, 69.5304, is because of a concept in science referred to as significant figures. In this case, the amount of significant figures we need to round our answer to is seen in the provided value in the problem. 0.353 has only three significant figures so I have rounded the final answer to three significant figures.

Remember, do not forget to not only unclude e units that answer should be in but some teachers also request that you write the symbol of the elemnt you are writing about, so I would write my answer as: 69.5 g Au.

I hope this helps :) have a nice day!

The percent by mass of methanol (MM = 32.04 g/mol) in an aqueous solution is 21.1%. What is the molality of the methanol solution?

Answers

Answer:

Molality of the methanol solution = 8.33 m

Explanation:

Given:

Mass % = 21.1 %

Molar mass of methanol = 32.04 g / mol

Find:

Molality of the methanol solution?

Computation:

Moles of methanol = Mass / Molar mass

Moles of methanol =  = 21.1 / 32.04

Moles of methanol = 0.658

Assume.

Mass of solution = 100 g

Mass of solvent  = 100 -21.1 = 78.9 g  = 0.0789 kg

Molality of the methanol solution = 0.658 / 0.0789

Molality of the methanol solution = 8.33 m

The molality of the methanol solution will be "8.33 m".

Given values:

Mass percentage = 21.1%Methanol's molar mass = 32.04 g/mol

Now,

Moles of methanol:

= [tex]\frac{Mass}{Molar \ mass}[/tex]

= [tex]\frac{21.1}{31.04}[/tex]

= [tex]0.658[/tex]

then,

Mass of solution:

= [tex]100-21.1[/tex]

= [tex]78.9 \ g \ or \ 0.0789 \ kg[/tex]

hence,

The molality will be:

= [tex]\frac{0.658}{0.0789}[/tex]

= [tex]8.33 \ m[/tex]

Thus the answer above is correct.

Learn more about molality here:

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The number of possible monobromination products, including cis-trans isomers, of methylcyclopentane is:________
A) 2
B) 3
C) 4
D) 5
E) 6

Answers

Answer:

D) 5

Explanation:

In this case, the "monobromination" is the addition of one "Br" to the molecule. With this in mind, we have to explore each option to put this "Br" atom:

1) (bromomethyl)cyclopentane = The Br atom is placed in carbon 6

2) 1-bromo-1-methylcyclopentane = The Br atom is placed in carbon 1

3) (1R,2R)-1-bromo-2-methylcyclopentane = The Br atom is placed in carbon 2 (with trans configuration)

4) (1R,2S)-1-bromo-2-methylcyclopentane = The Br atom is placed in carbon 2 (with cis configuration)

5) 1-bromo-3-methylcyclopentane = The Br atom is placed in carbon 3

See figure 1

I hope it helps!

how many moles of MgO are produced when .250 mol of Mg reacts completely with O2

Answers

Answer:

0.250 moles of MgO are produced when 0.250 mol of Mg reacts completely with O₂

Explanation:

In first place, the balanced reaction between Mg and O₂ is:

2 Mg + O₂ ⇒ 2 MgO

By stoichiometry of the reaction (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of reactants and products participate in the reaction:

Mg: 2 molesO₂: 1 moleMgO: 2 moles

Then you can apply the following rule of three: if by reaction stoichiometry 2 moles of Mg produce 2 moles of MgO, 0.250 moles of Mg, how many moles of MgO will they form?

[tex]moles of MgO=\frac{0.250 moles of Mg*2 moles of MgO}{2 moles of Mg}[/tex]

moles of MgO= 0.250

0.250 moles of MgO are produced when 0.250 mol of Mg reacts completely with O₂

What are metals that have been mixed together called

Answers

Answer:

Alloys

I hope this helps!

Answer:

D.An alloy

Explanation:

What is the final pH of a solution obtained by mixing 300 ml of 0.4 M NH3 with 175 ml of 0.3 M HCl? (Kb = 1.8 x 10-5) Show all of your math steps. Do not leave us guessing as to how you got your final answer.

Answers

Answer:

pH of the final solution = 9.15

Explanation:

Equation of the reaction: HCl + NH₃ ----> NH₄Cl

Number of moles of  NH₃ = molarity * volume (L)

= 0.4 M * (300/1000) * 1 L =  0.12 moles

Number of moles of HCl =  molarity * volume (L)

= 0.3 M * (175/1000) * 1 L = 0.0525 moles

Since all he acid is used up in the reaction, number of moles of acid used up equals number of moles of NH₄Cl produced

Number moles of NH₄Cl produced =  0.0525 moles

Number of moles of base left unreacted =  0.12 - 0.0525 = 0.0675

pOH = pKb + log([salt]/[base])

pKb = -logKb

pOH = -log (1.8 * 10⁻⁵) + log (0.0525/0.06755)

pOh = 4.744 + 0.109

pOH = 4.853

pH = 14 - pOH

pH = 14 - 4.853

pH = 9.15

Therefore, pH of the final solution = 9.15

A sheet of aluminum foil weighs 2.07g. If the sheet is 24cm long and 20cm wide, how thick is the sheet in micrometers? The density of aluminum is 2.7 g/cm3.

Answers

Answer:

[tex]h=1.60\mu m[/tex]

Explanation:

Hello,

In this case, given the density and the mass of the aluminum foil, we can compute the occupied volume as shown below:

[tex]\rho =\frac{m}{V}\\ \\V=\frac{m}{\rho}=\frac{2.07g}{2.7g/cm^3} =0.767cm^3[/tex]

Next, since the volume is defined as:

[tex]V=24cm*20cm*h[/tex]

Whereas [tex]h[/tex] accounts for its thickness, we can find it to be:

[tex]h=\frac{V}{24cm*20cm}=\frac{0.767cm^3}{20cm*24cm}\\ \\h=1.60x10^{-3}cm*\frac{10000\mu m}{1cm} \\\\h=1.60\mu m[/tex]

Regards.

The reaction between ammonia and oxygen is given below:

2NH3(g) + 2O2(g) → N2O(g) + 3H2O(l)

We therefore know that which of the following reactions can also occur?

a. 4 NH3(g) + 5 O2(g) --------------> 4 NO(g) + 6 H2O(g)
b. 4 NO(g) + 6 H2O(g)---------------> 4 NH3(g) + 5 O2(g)
c. N2O(g) + 3 H2O(l) ---------------> 2 NH3(g) + 2 O2(g)
d. None of the Above

Answers

Answer:

N2O(g) + 3 H2O(l) ---------------> 2 NH3(g) + 2 O2(g)

Explanation:

If we look at the reaction stated in the question, we will notice that the option chosen in the answer is the reverse of that reaction.

One thing is clear, if a reaction is possible, then its reverse reaction is equally possible. The equilibrium position may shift towards the forward or reverse reaction based on the conditions of the reaction.

Hence if the reaction, 2NH3(g) + 2O2(g) → N2O(g) + 3H2O(l) is possible, then the reaction, N2O(g) + 3 H2O(l) ---------------> 2 NH3(g) + 2 O2(g) is also possible.

What determines an atom's identity? Question 1 options: Atomic Mass Element Name Number of Protons Number of Neutrons

Answers

The number of protons in one atom of an element determines the atom's identity, and the number of electrons determines its electrical charge. The atomic number tells you the number of protons in one atom of an element. It also tells you the number of electrons in a neutral atom of that element.

Decide which element probably has a melting point most and least similar to the melting point of cesium

Answers

The question is incomplete, so the complete question is as follows:

Decide which element probably has a melting point most and least similar to the melting point of cesium. Comparing melting point: helium thallium sodium strontium

Answer:

Most similar melting point : Sodium

Least similar melting point: Strontium

Explanation:

Melting point is defined as the temperature at which soid will melt or get converted into liquid.

Melting point of cesium is 28.44 °C and most similar melting point  is sodium as its melting point is 97.72°C and least similar melting point is strontium as it has melting point 777°C.

Hence, the correct answer is:

Most similar melting point : Sodium

Least similar melting point: Strontium

40.002 g : 13.000005 g =

Answers

I believe that this is the answer 520.03 g

Two function of mass spectrometry​

Answers

Your question has been heard loud and clear.

Specific applications of mass spectrometry include drug testing and discovery, food contamination detection, pesticide residue analysis, isotope ratio determination, protein identification, and carbon dating.

Thank you

The primary function of mass spectrometry is as a tool for chemical analyses based on detection and quantification of ions according to their mass-to-charge ratio. However, mass spectrometry also shows promise for material synthesis.

tbh google

✌️

Nuclear binding energies for the fusion of a mole of nuclei typically correspond to mass differences on the order of:
A. grams
B. milligrams
C. micrograms
D. nanograms

Answers

Answer:

nanograms

Explanation:

Nuclear binding energy refers to the energy needed in order to break up the nucleus of an atom into its component parts: protons and neutrons, it is also the energy used up in the formation of the atom.

The difference between the calculated and actual mass of a nucleus gives its mass defect which is used to calculate the binding energy according to Einstein's equation. The mass differences are usually very small, as little as the order of nanograms.

consider a 1000-ml graduated cylinder with marks every 100 ml. a student records the volume of liquid in the cylinder as 750 ml. is this the correct measurement? explain ​

Answers

Answer:

Yes, given statement is true.

Explanation:

Given that a cylinder of 1000 ml is marked at every 100 ml.

During the test, the student can easily check the volume of liquid so the student's guess is 750 ml true.  

With this measurement, we can estimate that 1/10th of 100 ml can be measured.  

So, given statement is correct.

Answer:

Yes, the digit in the hundreds place is certain and the digit in the tens place is estimated.

Explanation:

hen solid NH4NO3 is dissolved in water, the temperature of the water and beaker gets noticeably colder. The formation of an aqueous solution of ammonium nitrate is __________

Answers

Answer:

The formation of an aqueous solution of ammonium nitrate is An endothermic process

Explanation:

An exothermic process produce energy when occurs. As there is energy that is released, the temperature of the arounds increases.

In the other hand, an endothermic process absorb energy when occurs doing the temperature of the around colder than the initial temperature.

As the dissolution of NH₄NO₃ in water make the temperature of the water colder:

The formation of an aqueous solution of ammonium nitrate is An endothermic process

The formation of an aqueous solution of ammonium nitrate is an endothermic process

The question requires us to determine if reaction process is an endothermic or an exothermic reaction.

To do this,

First we will define the terms Endothermic reaction and exothermic reaction

Endothermic reactions are chemical reactions in which the reactants absorb heat energy from the surroundings to form products. These reactions lower the temperature of their surrounding area, thereby creating a cooling effect. They have a net positive standard enthalpy change.

Exothermic reactions are reactions or processes that release energy, usually in the form of heat or light. They have a net negative standard enthalpy change.

From the question,

When solid NH4NO3 is dissolved in water, the temperature of the water and beaker gets noticeably colder. This means it is an endothermic reaction.

Hence, the formation of an aqueous solution of ammonium nitrate is an endothermic process

Learn more here: https://brainly.com/question/2487822

Consider the reaction when aqueous solutions of potassium hydroxide and ammonium nitrate are combined. The net ionic equation for this reaction is:

Answers

Answer: [tex]OH^-(aq)+NH_4^+(aq)\rightarrow NH_3(g)+H_2O(l)[/tex]

Explanation:

A double displacement reaction is one in which exchange of ions take place. The salts which are soluble in water are designated by symbol (aq) and those which are insoluble in water and remain in solid form are represented by (s) after their chemical formulas.

[tex]KOH(aq)+NH_4NO_3(aq)\rightarrow KNO_3(aq)+NH_3(g)+H_2O(l)[/tex]

The equation can be written in terms of ions as:

[tex]K^+(aq)+OH^-(aq)+NH_4^+(aq)+NO_3^-(aq)\rightarrow K^+(aq)+NO_3^-(aq)+NH_3(g)+H_2O(l)[/tex]

Spectator ions are defined as the ions which does not get involved in a chemical equation or they are ions which are found on both the sides of the chemical reaction present in ionic form.

The ions which are present on both the sides of the equation are potassium and nitrate ions and hence are not involved in net ionic equation.

Hence, the net ionic equation is :

[tex]OH^-(aq)+NH_4^+(aq)\rightarrow NH_3(g)+H_2O(l)[/tex]

Which one of the following statements a about scientific hypothesis is FALSE? A scientific hypothesis is an educated guess about why something happens. In order to be useful, a scientific hypothesis must be testable in a way that is replicable by other scientists. The previously known outcome of an observation or experiment can be used as solid proof that a newly-created scientific hypothesis is absolutely true. A scientific hypothesis is an explanation for a natural phenomenon.

Answers

Answer:

C). The previously known outcome of an observation or experiment can be used as solid proof that a newly-created scientific hypothesis is absolutely true.

Explanation:

A Scientific hypothesis is characterized as the proposed explanation or an educated guess about a natural phenomenon on the basis of previous knowledge as well as observation. All the given statements are true regarding a scientific hypothesis that it is 'an educated guess which explains the reason why a specific phenomenon occurs', 'being testable in a manner that could be replicated by other', 'an explanation for a natural phenomenon' except for that  the 'truth of a scientific hypothesis can never be assured completely with a solid proof as it always has chances of being expanded.' Thus, option C is the correct answer.

The following equilibrium is formed when copper and bromide ions are placed in a solution:
heat + Cu(H2O)6 ^+2 (blue) + 4Br- <--> 6H2O + CuBr4^-2 (green)
A) answer the following questions when KBr is added to the solution:
1. What will happen to the equilibrium?
2. What will be the color of the solution?
3. Will the solution be hotter or cooler? Explain.
B) What will be the color of the solution when the solution is heated?

Answers

Answer:

A)

1. Reaction will shift rightwards towards the products.

2. It will turn green.

3. The solution will be cooler..

B) It will turn green.

Explanation:

Hello,

In this case, for the stated equilibrium:

[tex]heat + Cu(H_2O)_6 ^{+2} (blue) + 4Br^- \rightleftharpoons 6H_2O + CuBr_4^{-2} (green)[/tex]

In such a way, by thinking out the Le Chatelier's principle, we can answer to each question:

A)

1. If potassium bromide, which adds bromide ions, is added more reactant is being added to the solution, therefore, the reaction will shift rightwards towards the products.

2. The formation of the green complex is favored, therefore, it will turn green.

3. The solution will be cooler as heat is converted into "cold" in order to reestablish equilibrium.

B) In this case, as the heat is a reactant, if more heat is added, more products will be formed, which implies that it will turn green.

Regards.

how does matter form different types of mixtures?

Answers

Answer:

pure substances and mixtures

Explanation:

pure substances are further broken down into elements and compound....... A mixture is composed of different types of atoms or molecules that are not chemically bonded.

Heterogeneous and homogeneous mixtures are the two types of mixtures. While homogeneous mixtures seem consistent throughout, heterogeneous mixtures have clearly discernible components. A solution, which can be a solid, liquid, or gas, is the most typical kind of homogenous mixture.

Explain about the types of mixtures?

Mixtures are materials made up of two or more different types of matter. Physical means can be used to separate them. Examples include a salt-water solution, a sugar-water solution, various gases, air, etc. The many components of any mixture do not come together by any sort of chemical transformation.

Solutions, suspensions, and colloids are the three categories into which mixtures can be divided based on particle size. A mixture's constituent parts maintain their unique physical characteristics

Answer:

both pure materials and mixes

Explanation:

The breakdown of pure substances into their component components and compounds continues. Different kinds of unchemically linked atoms or molecules make up a mixture.

To learn more about types of mixtures refer to:

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which of the following changes are chemical changes?
A water if frozen
B water is heated up
C gasoline is burned
D water is boiled
E gasoline is evaporated​

Answers

Answer:

the answer is C.

Explanation:

this is because burning anything is going to change the make-up of the object

What type of matter is pepperoni pizza

Answers

Answer:

Heterogeneous Mixture. Have a good day! =)

Explanation:

A solution is prepared by adding 0.0231moles of H3O+ ions to 3.33L of water. What is the pH of this solution

Answers

Answer:

2.15

Explanation:

For this question, we have to remember the pH formula:

[tex]pH~=~-Log[H_3O^+][/tex]

By definition, the pH value is calculated when we do the -Log of the concentration of the hydronium ions ([tex]H_3O^+[/tex]). So, the next step is the calculation of the concentration of the hydronium ions. For this, we have to use the molarity formula:

[tex]M=\frac{mol}{L}[/tex]

We already know the number of moles (0.0231 moles) and the volume (3.33 L). So, we can plug the values into the molarity formula:

[tex]M=\frac{0.0231~moles}{3.33~L}=0.00693~M[/tex]

With this value, now we can calculate the pH value:

[tex]pH~=~-Log[0.00693~M]~=~2.15[/tex]

The pH would be 2.15

I hope it helps!

A scientist wants to use a model to help present the results of his detailed scientific investigation.
Why would a model be useful?
because the model makes the concepts easier to understand
because the model is easy to put together and to use
because the model prevents other scientists from asking questions
Obecause the model requires the audience to pay full attention to it

Answers

Answer:

Because the model makes the concepts easier to understand

Explanation:

Models are created to give a visual of every aspect of an experiment. This allows for a better understanding across the board for everyone.

Heavy nuclides with too few neutrons to be in the band of stability are most likely to decay by what mode?

Answers

Answer:

Positron emission

Explanation:

Positron emission involves the conversion of a proton to a neutron. This process increases the mass number of the daughter nucleus by 1 while its atomic number remains the same. The new neutron increases the number of neutrons present in the daughter nucleus hence the process increases the N/P ratio.

A positron is usually ejected in the process together with an anti-neutrino to balance the spins.

What family on the periodic table has ad least one solid, one liquid and one gas.

Answers

Answer:

FLUORINE, CHLORINE, BROMINE, IODINE, ASTATILE AND TENNESINE

Explanation :

Florine and chorine=gas

Bromine=liquid

ASTATILE and TENNESINE =solid

HOPE IT is right

The specific heat of aluminum is 0.0215 cal/g°C. If a 4.55 g sample of aluminum absorbs 2.55 cal of energy, by how much will the temperature of the sample change?

Answers

Answer:

The change in temperature is [tex]26.06^{\circ} C[/tex].

Explanation:

It is given that,

The specific heat of Aluminium is cal/g°C

Mass of the sample, m = 4.55 g

Heat absorbed, Q = 2.55 cal

We need to find the change in temperature of the sample. The heat absorbed by an object is given by :

[tex]Q=mc\Delta T[/tex]

[tex]\Delta T[/tex] is the change in temperature

So,

[tex]\Delta T=\dfrac{Q}{mc}\\\\\Delta T=\dfrac{2.55\ cal}{4.55\ g\times 0.0215 \ cal/g^{\circ} C}\\\\\Delta T=26.06^{\circ} C[/tex]

So, the change in temperature is [tex]26.06^{\circ} C[/tex].

Calculate the pZn of a solution prepared by mixing 25.0 mL of 0.0100 M EDTA with 50.0 mL of 0.00500 M Zn2 . Assume that both the Zn2 and EDTA solutions are buffered with 0.100 M NH3 and 0.176 M NH4Cl.

Answers

Answer:

[tex]\mathbf{pZn ^{2+} =8.8569 }[/tex]

Explanation:

Using the approach of Henderson-HasselBalch equation, we have :

[tex]pH = pKa[NH^+_4] + log \dfrac{[NH_3]}{[NH_4^+]}[/tex]

where;

the pKa of [tex]NH^+_4[/tex] = 9.26

concentration of [tex]NH_3[/tex] = 0.100 M

concentration of [tex]NH_4Cl[/tex] = 0.176 M

the pH of the buffered solution is :

[tex]pH = 9.26 + log \dfrac{[0.100]}{[0.176]}[/tex]

[tex]pH = 9.26 + log (0.5682)[/tex]

[tex]pH = 9.26 +(-0.2455)[/tex]

[tex]pH =9.02[/tex]

The Chemical equation for the reaction of [tex]Zn ^{2+}[/tex] and EDTA is :

[tex]Zn^{2+}_{(aq)} + Y^{4-}_{(aq)} \iff ZnY^{2-} _{(aq)}[/tex]

Here;

[tex]Y^{4-}_{(aq)}[/tex] denotes the fully deprotonated form of the EDTA

The formation constant [tex]K_f[/tex] of the equation for the reaction can be represented as:

[tex]K_f = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ][Y^{4-}]}[/tex]      ----- (1)

The logarithm of the formation constant of Zn - EDTA complex = 16.5

[tex]K_f[/tex]  = [tex]10^{16.5}[/tex]

[tex]K_f[/tex]  = [tex]3.16 \times 10^{16}[/tex]

Since the formation constant in the above equation signifies that the EDTA is present in  [tex]Y^{4-}[/tex],

Then:

[tex]\alpha _{Y^{4-} }= \dfrac{Y^{4-}}{C_{EDTA}}[/tex]

[tex]{Y^{4-}}= \alpha_ {Y^{4-}} \times {C_{EDTA}}[/tex]

From (1)

[tex]K_f = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ][Y^{4-}]}[/tex]  

[tex]K_f = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ] \ \ \alpha_ {Y^{4-}} \times {C_{EDTA}}}[/tex]

[tex]K_f' = K_f \times \alpha _Y{^4-} = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ] \ C_{EDTA} }[/tex]

where;

[tex]K_f'[/tex] = conditional formation constant

[tex]\alpha _Y{^4-}[/tex] = the fraction of EDTA that exit in the form of the presences of the 4 charges .

So at equivalence point :

all the [tex]Zn^{2+}[/tex] initially in titrand  is now present in [tex]ZnY^{2-}[/tex]

[tex]K_f' = K_f \times \alpha _Y{^4-}[/tex]

Obtaining the data for the value of [tex]\alpha _Y{^4-}[/tex] at the reference table:

[tex]\alpha _Y{^4-}[/tex]  =  [tex]5.4 \times 10^{-12}[/tex]

[tex]K_f' = 3.16 \times 10^{16} \times 5.4 \times 10^{-2}[/tex]

[tex]K_f' = 1.7064 \times 10^{15}[/tex]

To calculate the moles of  EDTA ,[tex]Zn^{2+}[/tex]  , [tex]ZnY^{2-}[/tex] ; we have:

moles of  EDTA = 0.0100 M × 0.025 L

moles of  EDTA = [tex]2.5 \times 10^{-4} \ mole[/tex]

moles of [tex]Zn^{2+}[/tex] = 0.00500 M  × 0.050 L

moles of [tex]Zn^{2+}[/tex] = [tex]2.5 \times 10^{-4} \ mole[/tex]

moles of  [tex]ZnY^{2-}[/tex]  =  [tex]\dfrac{initial \ mole}{total \ volume}[/tex]

moles of  [tex]ZnY^{2-}[/tex]  = [tex]\dfrac{2.5 \times 10^{-4}}{ 0.025 + 0.050 }[/tex]

moles of  [tex]ZnY^{2-}[/tex]  = [tex]\dfrac{2.5 \times 10^{-4}}{ 0.075 }[/tex]

moles of  [tex]ZnY^{2-}[/tex]  = 0.0033333 M

Recall that:

[tex]K_f' = K_f \times \alpha _Y{^4-} = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ] \ C_{EDTA} }[/tex]

[tex]K_f' = \dfrac{[ZnY^{2-}]}{[Zn^{2+} ] \ C_{EDTA} }[/tex]

Assume Q² is the amount of complex dissociated in [tex]ZnY^{2-}[/tex]

[tex]ZnY^{2-} \iff Zn^{2+} + C_{EDTA}[/tex]  

i.e [tex]Q^2 = Zn^{2+} + C_{EDTA}[/tex]

[tex]1.707 \times 10^{15}= \dfrac{0.0033333}{Q}[/tex]

[tex]Q= \dfrac{0.0033333}{1.707 \times 10^{15}}[/tex]

[tex]Q^2= \dfrac{0.0033333}{1.707 \times 10^{15}}[/tex]

[tex]Q^2= 1.9527 \times 10^{-18}[/tex]

[tex]Q= \sqrt{1.9527 \times 10^{-18}}[/tex]

Q = [tex]1.397 \times 10^{-9}[/tex] M

[tex][Zn^{2+}]= 1.39 \times 10^{-9} \ M[/tex]

[tex]pZn ^{2+} =- log [Zn^{2+}][/tex]

[tex]pZn ^{2+} = - log (1.39 \times 10^{-9} ) \ M[/tex]

[tex]\mathbf{pZn ^{2+} =8.8569 }[/tex]

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