a metal (fw 311.8 g/mol) crystallizes into a face-centered cubic unit cell and has a radius of 2.86 angstrom. what is the density of this metal in g/cm3? enter to 2 decimal places.

Answers

Answer 1

The density of the metal is 8.94 g/cm³.

To find the density of the metal, we need to calculate its atomic/molar mass. We are given the formula weight (fw) which is 311.8 g/mol.

Since we don't know the element, we can't look up its atomic mass directly, but we can use the fw to approximate it.

The closest element to this fw is cobalt (Co), which has an atomic mass of 58.93 g/mol.

Therefore, we can assume that the metal is cobalt.

Next, we need to find the volume of the unit cell. The radius given is 2.86 angstrom, which we convert to cm (1 angstrom = 1x10⁻⁸ cm).

Therefore, the radius is 2.86x10⁻⁸cm.

The face-centered cubic unit cell has 4 atoms per unit cell, and each atom contributes 1/8 of its volume to the unit cell.

Using the formula for the volume of a sphere, we can find the volume of each atom and multiply by 4 and 1/8 to get the volume of the unit cell.

V_atom = (4/3)πr³ = (4/3)π(2.86x10⁻⁸ cm)³ = 9.76x10⁻²⁴ cm³

V_unit cell = 4 x 1/8 x V_atom = 1.22x10⁻²³ cm³

Finally, we can find the density by dividing the mass of the unit cell by its volume. density = fw/V_unit cell = 311.8 g/mol / 1.22x10⁻²³ cm³ = 8.94 g/cm³ (rounded to 2 decimal places)

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Related Questions

a current of 4.55 a is passed through a cu(no3)2 solution. how long, in hours, would this current have to be applied to plate out 6.90 g of copper?

Answers

To plate out 6.90 g of copper using a current of 4.55 A, you would need to apply the current for 1.99 hours.


1. Find the moles of copper: 6.90 g / 63.55 g/mol (copper's molar mass) = 0.1086 mol Cu
2. Calculate moles of electrons needed (Cu²⁺ + 2e⁻ → Cu): 0.1086 mol Cu × 2 mol e⁻/mol Cu = 0.2172 mol e⁻
3. Convert moles of electrons to Coulombs (1 mol e⁻ = 96,485 C/mol): 0.2172 mol e⁻ × 96,485 C/mol = 20,955 C
4. Calculate time in seconds (time = charge / current): 20,955 C / 4.55 A = 4,604 s
5. Convert seconds to hours: 4,604 s / 3,600 s/h = 1.99 hours

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account for the relative rates of solvolysis (reaction with a protic solvent) of these compounds through an sn1 mechanism.

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The relative rates of solvolysis via an SN1 mechanism are determined by both the stability of the carbocation intermediate and the nature of the leaving group.

The relative rates of solvolysis through an SN1 mechanism are primarily determined by the stability of the intermediate carbocation formed during the reaction. More stable carbocations are formed more easily, which results in faster reaction rates.

In general, tertiary alkyl halides form more stable carbocations compared to secondary or primary alkyl halides. This is due to the increased number of alkyl groups attached to the carbon bearing the leaving group.

The electron-donating effect of these groups leads to greater positive charge delocalization, which stabilizes the carbocation intermediate.

Therefore, tertiary alkyl halides will generally have the fastest rates of solvolysis via an SN1 mechanism, followed by secondary and primary alkyl halides. This trend is consistent with experimental data.

Additionally, the nature of the leaving group also plays a role in the rate of solvolysis. Leaving groups that are better able to stabilize negative charge, such as iodide, tend to promote faster reaction rates compared to leaving groups that are weaker in this regard, such as bromide or chloride.

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draw the ideal barium titanate structure

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For a visual representation of the ideal barium titanate structure, I recommend referring to scientific literature or online resources that provide crystal structure diagrams.

Can you provide a visual representation of the ideal barium titanate structure?

I am unable to draw images or provide visual representations. I can describe the ideal barium titanate structure for you.

Barium titanate (BaTiO3) has a perovskite crystal structure, which is a common structure for many ceramic materials.

In the ideal perovskite structure of BaTiO3, it consists of a three-dimensional arrangement of ions.

The Ba2+ ions occupy the center of the unit cell, surrounded by oxygen (O2-) ions at each corner, forming an octahedral coordination.

The Ti4+ ions are located at the center of the octahedron formed by the oxygen ions.

This arrangement creates a repeating pattern throughout the crystal lattice.

Please note that the ideal structure of barium titanate may vary in real samples due to factors such as crystal defects and impurities.

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the /\g of a certain reaction is - 78.84 kj/mol at 25oc. what is the keq for this reaction?

Answers

The Keq for the reaction can be calculated using the equation ΔG° = -RTlnKeq, where ΔG° is the standard free energy change, R is the gas constant, T is the temperature in Kelvin, and Keq is the equilibrium constant.

In this case, ΔG° is -78.84 kJ/mol, and assuming standard conditions of 25°C (298 K) and 1 atm pressure, we can plug in the values and solve for Keq -78.84 kJ/mol = -8.314 J/K/mol * 298 K * ln Keq ,-78.84 kJ/mol = -24,736 J/mol * ln(Keq ln(Keq) = 78.84 kJ/mol / 24,736 J/mol ,ln(Keq) = -3.186 ,Keq = e^-3.186 ,Keq = 0.041 Therefore, the explanation is that the Keq for this reaction is 0.041.

Convert the given ΔG from kJ/mol to J/mol: -78.84 kJ/mol * 1000 J/kJ = -78840 J/mol, Convert the temperature from Celsius to Kelvin: 25°C + 273.15 = 298.15 K  Use the gas constant, R, in J/(mol·K): R = 8.314 J/(mol·K) ,Rearrange the equation to solve for Keq: ln(Keq) = -ΔG/RT, Substitute the values into the equation: ln Keq = -78840 J/mol / (8.314 J/(mol·K) * 298.15 K, Calculate the value of ln(Keq): ln(Keq) ≈ 31.92 Find the Keq by taking the exponential of the ln(Keq) value: Keq = e^(31.92) ≈ 4.16 x 10^13.
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What is the concentration of H+ in solution given the [OH] = 1.32 x 10^-4? A) 1.0 x 10^14 M B) 7.58 x 10^-11 M C) 1.32 x 10^-11 M D) not enough information E) none of the above

Answers

Option B) 7.58 x 10⁻¹¹ M is the concentration of H+ in solution given the [OH] = 1.32 x  10⁻⁴  will be 1.32 x 10⁻¹¹ M.

We can use the fact that the product of the concentration of hydrogen ions (H⁺) and hydroxide ions (OH⁻) in a solution is equal to 1 x 10⁻¹⁴ M² at 25°C. This is known as the ion product constant of water (Kw).

Mathematically, we can write:

Kw = [H⁺][OH⁻] = 1 x 10⁻¹⁴ M²

We are given the concentration of hydroxide ions as [OH⁻] = 1.32 x 10⁻⁴ M. We can use this information and the Kw equation to calculate the concentration of hydrogen ions:

[H⁺] = Kw / [OH⁻]

[H⁺] = (1 x 10⁻¹⁴ M²) / (1.32 x 10⁻⁴ M)

[H⁺] = 7.58 x 10⁻¹¹ M

Therefore, the concentration of H⁺ in solution is 7.58 x 10⁻¹¹ M, which is option B.

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If you make a solution by dissolving 1.0 mol of fecl3 into 1.0 kg of water, how would the osmotic pressure of this solution compare with the osmotic pressure of a solution that is made from 1.0 mol of glucose in 1.0 kg of water? one-half as large the same twice as large four times as large

Answers

The osmotic pressure of a solution made by dissolving 1.0 mol of FeCl3 into 1.0 kg of water would be four times as large compared to a solution made from 1.0 mol of glucose in 1.0 kg of water.

Osmotic pressure is directly proportional to the concentration of solute particles in a solution. In this case, the solution made from FeCl3 has one mole of solute particles, while the solution made from glucose also has one mole of solute particles. However, FeCl3 dissociates into four particles (one Fe3+ ion and three Cl- ions) when dissolved in water, while glucose does not dissociate and remains as one particle. Since osmotic pressure depends on the number of solute particles, the FeCl3 solution will have four times as many solute particles compared to the glucose solution. Therefore, the osmotic pressure of the FeCl3 solution will be four times as large as the osmotic pressure of the glucose solution.

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Argon,oxygen and nitrogen are obtained from air by fractional distillation. Liquid air at -250 degree Celsius is warmed up and the gases are collected.

a) is liquid air a mixture or a pure substance

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Liquid air is a mixture rather than a pure substance. It is composed of various gases, including nitrogen, oxygen, argon, and traces of other gases.

Liquid air is not a pure substance because it consists of a combination of different gases. Air itself is a mixture of gases, primarily nitrogen (78%), oxygen (21%), and traces of other gases, including argon (about 0.9%). When air is cooled to extremely low temperatures, below -250 degrees Celsius, it condenses into a liquid state, known as liquid air.

The process of fractional distillation is used to separate the components of liquid air. Fractional distillation takes advantage of the fact that the gases in the mixture have different boiling points. By gradually warming up the liquid air, the gases with lower boiling points, such as nitrogen, vaporize first and can be collected separately. As the temperature increases further, oxygen and argon can be collected in the same manner, as they have higher boiling points than nitrogen.

Therefore, liquid air can be considered a mixture because it consists of multiple gases that can be separated and collected individually through the process of fractional distillation.

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Calcium phosphate used in fertilizers can be


made in the reaction described by the fol-


lowing equation:


2H3PO4(aq) + 3Ca(OH)(aq) —


Ca3(PO4)2(s) + 6H2O(aq)


What mass in grams of each product would


be formed if 7. 5 L of 5. 00 M phosphoric acid


reacted with an excess of calcium hydroxide?

Answers

To determine the mass of each product formed in the reaction between 7.5 L of 5.00 M phosphoric acid and an excess of calcium hydroxide, the stoichiometry of the reaction needs to be considered. The molar ratio between the reactants and products can be used to calculate the mass of each product.

The balanced equation for the reaction is [tex]2H_3PO_4(aq) + 3Ca(OH)_2(aq)[/tex] → [tex]Ca_3(PO_4)_2(s) + 6H_2O(aq).[/tex]

First, we need to calculate the number of moles of phosphoric acid used. To do this, we multiply the volume (7.5 L) by the molarity (5.00 M) to obtain the moles of H3PO4: 7.5 L × 5.00 mol/L = 37.5 mol.

Based on the stoichiometry of the reaction, we know that for every 2 moles of [tex]H_3PO_4[/tex], 1 mole of [tex]Ca_3(PO_4)_2[/tex] is formed. Therefore, the moles of [tex]Ca_3(PO_4)_2[/tex] formed can be calculated as 37.5 mol.

To calculate the mass of [tex]Ca_3(PO_4)_2[/tex] formed, we need to know the molar mass of [tex]Ca_3(PO_4)_2[/tex], which is 310.18 g/mol. Therefore, the mass of [tex]Ca_3(PO_4)_2[/tex] formed is 18.75 mol × 310.18 g/mol = 5,801.25 g.

Since water is also a product, we can calculate the moles of water formed as 6 times the moles of [tex]Ca_3(PO_4)_2[/tex]: 18.75 mol [tex]Ca_3(PO_4)_2[/tex] × 6 mol H2O / 1 mol [tex]Ca_3(PO_4)_2[/tex] = 112.5 mol [tex]H_2O[/tex].

The molar mass of water is 18.015 g/mol, so the mass of water formed is 112.5 mol × 18.015 g/mol = 2,023.12 g.

In summary, when 7.5 L of 5.00 M phosphoric acid reacts with an excess of calcium hydroxide, approximately 5,801.25 grams of calcium phosphate [tex]Ca_3(PO_4)_2[/tex] and 2,023.12 grams of water would be formed.

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For which slightly soluble substance will the addition of HCl to its solution have no effect on its solubility? a. AgBr(s) b. PbF2(s) c. MgCO3(s) d. Cu(OH)2(s)

Answers

The substance for which the addition of HCl to its solution will have no effect on its solubility is [tex]PbF_2[/tex](s) (option b).

The addition of HCl to a solution can affect the solubility of some slightly soluble substances by reacting with them to form a more soluble compound. The solubility of a substance may increase or decrease depending on the nature of the reaction.

a. AgBr(s) - The addition of HCl to a solution of AgBr will decrease its solubility because AgBr will react with HCl to form a more soluble compound, silver chloride (AgCl).

b. [tex]PbF_2[/tex](s) - The addition of HCl to a solution of [tex]PbF_2[/tex] will have no effect on its solubility because [tex]PbF_2[/tex] is insoluble in water and does not react with HCl.

c. [tex]MgCO_3[/tex](s) - The addition of HCl to a solution of [tex]MgCO_3[/tex] will decrease its solubility because [tex]MgCO_3[/tex] will react with HCl to form a more soluble compound, magnesium chloride ([tex]MgCl_2[/tex]), and carbon dioxide ([tex]CO_2[/tex]).

d. [tex]Cu(OH)_2[/tex](s) - The addition of HCl to a solution of [tex]Cu(OH)_2[/tex] will decrease its solubility because [tex]Cu(OH)_2[/tex] will react with HCl to form a more soluble compound, copper chloride ([tex]CuCl_2[/tex]), and water ([tex]H_2O[/tex]).

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draw the product that valine forms when it reacts with t-buo-co-cl/triethylamine; then wash with aqueous hcl.

Answers

The product that valine forms when it reacts with t-buo-co-cl/triethylamine; then wash with aqueous HCl is shown in the image attached.

What is the product formed in the reaction?

Valine is an amino acid with the structural components of an amino group (-NH2) and a carboxylic acid group (-COOH). A process known as acylation occurs when the carboxylic acid group interacts with t-buo-co-cl (tert-butyl chloroformate) in the presence of triethylamine, replacing the -OH group with the -OCO-t-bu (tert-butyl carbonate) group.

The tert-butyl carbonate group is hydrolyzed to produce tert-butanol and CO2 when the product is washed with aqueous HCl, culminating in the creation of valine hydrochloride salt.

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Identify which of the proposed syntheses will achieve the following transformation. ? Ph. Br Ph ОН 1) Mg 2) CO2 3) H30* 1 1) Mg 2) Å 3) HyCrO4 III 1) NaCN 2) H30* None of the options I and III only OI, II, and III I and II only II and III only

Answers

The proposed synthesis that will achieve the following transformation of Ph. Br to Ph ОН are I and III only.

To identify which of the proposed synthesis will achieve the transformation:
Option I:
1) Mg - This step forms a Grignard reagent.
2) CO2 - The Grignard reagent reacts with CO2 to form a carboxylate salt.
3) H3O* - The carboxylate salt is protonated to form a carboxylic acid.

Option II:
1) Mg - This step forms a Grignard reagent.
2) Å - This step is not clear, and no reaction can be identified.
3) H3CrO4 - This is a strong oxidizing agent, but without a clear previous step, the transformation cannot be determined.

Option III:
1) NaCN - This step involves nucleophilic substitution, replacing Br with CN.
2) H3O* - This step hydrolyzes the nitrile, converting it into a carboxylic acid.

Therefore, Considering the reactions, the synthesis that achieve the transformation are options I and III only.

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Complete the following radioactive decay problem.210/84po —> 206/82pb+?2/4he4/2he4/2be2/4be

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The missing particle in the radioactive decay problem is an alpha particle (2He4). This can be determined by balancing the mass numbers and atomic numbers on both sides of the equation.

In radioactive decay, an unstable atom loses energy by emitting radiation. This radiation can be in the form of alpha particles, beta particles, or gamma rays. Alpha particles are the most massive type of radiation, and they are made up of two protons and two neutrons. Beta particles are less massive than alpha particles, and they are made up of an electron. Gamma rays are the least massive type of radiation, and they are high-energy photons.

In the given problem, the mass number of the polonium atom is 210, and the atomic number is 84. The mass number of the lead atom is 206, and the atomic number is 82. This means that two protons and two neutrons have been lost in the decay process. The only type of radiation that can carry away this much mass is an alpha particle.

Therefore, the missing particle in the radioactive decay problem is an alpha particle (2He4).

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The isoelectric point, pI, of the protein horse liver alcohol dehydrogenase is 6.8, while that of hexokinase P-II is 4.93. What is the net charge of horse liver alcohol dehydrogenase at pH5.1 ? What is the net charge of hexokinase P-II at pH5.5 ?

Answers

At pH 5.1, horse liver alcohol dehydrogenase will have a net positive charge of approximately +2.9.

At pH 5.5, hexokinase P-II will have a net negative charge of approximately -3.25.

Find the charge of horse liver alcohol dehydrogenase and hexokinase P-II at given pH values.

To calculate the net charge of the proteins at the given pH values, we need to compare the pH with the isoelectric point (pI) of the proteins.

For horse liver alcohol dehydrogenase:

If pH < pI, the protein is positively charged.

If pH > pI, the protein is negatively charged.

If pH = pI, the protein has no net charge.

Given that pH = 5.1 and pI = 6.8, we have pH < pI, so the protein will be positively charged. To determine the magnitude of the charge, we need to calculate the difference between the pH and pI values and convert it into a log scale using the Henderson-Hasselbalch equation:

pH - pI = log([A-]/[HA])

where [A-] is the concentration of deprotonated acidic groups (negative charges), and [HA] is the concentration of protonated acidic groups (neutral charges).

Assuming that the only acidic group present in horse liver alcohol dehydrogenase is the carboxyl group of the amino acid residues, which has a pKa of around 2.2, we can calculate the ratio of [A-]/[HA] at pH 5.1 as:

[A-]/[HA] = 10^(pH-pKa) = 10^(5.1-2.2) = 794.33

Taking the negative logarithm of this value gives us the number of charges per molecule:

-log([A-]/[HA]) = -log(794.33) = 2.9

For hexokinase P-II:

If pH < pI, the protein is positively charged.

If pH > pI, the protein is negatively charged.

If pH = pI, the protein has no net charge.

Given that pH = 5.5 and pI = 4.93, we have pH > pI, so the protein will be negatively charged. Using the same approach as before, we can calculate the ratio of [A-]/[HA] at pH 5.5 as:

[A-]/[HA] = [tex]10^(^p^H^-^p^K^a^)[/tex] = [tex]10^(^5^.^5^-^2^.^2^)[/tex] = 1778.28

Taking the negative logarithm of this value gives us the number of charges per molecule:

-log([A-]/[HA]) = -log(1778.28) = 3.25

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how many unpaired electrons would you expect for the complex ion cr(cn)6 4-

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The complex ion Cr(CN)6 4- has a central chromium ion (Cr) surrounded by six cyanide ions (CN-) in an octahedral geometry. To determine the number of unpaired electrons in this complex ion, we need to use the crystal field theory.

According to crystal field theory, the electrons in the d-orbitals of the central metal ion are affected by the electric field of the surrounding ligands. The ligands cause a splitting of the d-orbitals into two energy levels, the lower energy (eg) level and the higher energy (t2g) level. The number of unpaired electrons in the complex ion depends on the number of electrons in the t2g level.

In the case of Cr(CN)6 4-, the oxidation state of the central chromium ion is +3, which means that it has three d-electrons. These three electrons will occupy the three t2g orbitals, leaving them all paired.

Therefore, there are no unpaired electrons in this complex ion.

In summary, the complex ion Cr(CN)6 4- has no unpaired electrons because all of the d-electrons of the central chromium ion are paired in the t2g orbitals due to the surrounding cyanide ligands.

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A solution containing 0. 13 M each of F− , Cl− , CrO2−4 , and SO2−4 is titrated by a solution containing Pb2+. Place the anions in the order in which they will precipitate. Consulting a table of Ksp values may be helpful

Answers

The order of precipitation for the given anions,[tex]F^-, Cl^-, CrO_2^-^4[/tex], and [tex]SO_2^-^4[/tex], when titrated with [tex]Pb^2^+[/tex] can be determined by comparing their respective solubility product constant (Ksp) values.

When titrating a solution containing multiple anions with [tex]Pb^2^+[/tex], the order of precipitation can be determined by comparing the solubility product constant (Ksp) values of the corresponding salts. The anion with the lowest Ksp value will precipitate first, followed by the anions with progressively higher Ksp values.

To determine the order of precipitation, we need to consult a table of Ksp values for the given anions. Comparing the Ksp values, we find that the order of precipitation is as follows: [tex]F^- < CrO_2^-^4[/tex] < [tex]SO_2^-^4[/tex] < [tex]Cl^-[/tex].

Hence,[tex]F^-[/tex] will precipitate first, followed by [tex]CrO_2^-^4[/tex], then [tex]SO_2^-^4[/tex], and finally [tex]Cl^-[/tex]. This means that when the titration reaches the point where all the [tex]F^-[/tex] ions have reacted with [tex]Pb^2^+[/tex] and precipitated as [tex]PbF_2[/tex], further addition of [tex]Pb^2^+[/tex]will result in the precipitation of [tex]CrO_2^-^4[/tex] as [tex]PbCrO_4[/tex]. Subsequently, [tex]SO_2^-^4[/tex] will precipitate as [tex]PbSO_4[/tex], and finally, [tex]Cl^-[/tex] will precipitate as [tex]PbCl_2[/tex].

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Imagine a sealed plastic bag containing a gas a 40 F. If we increased the


temperature of the gas ten times what would happen? What gas law(s)


is(are) here in play?

Answers

If the temperature of a sealed plastic bag containing a gas is increased ten times, the volume of the gas will increase proportionally.

According to the Ideal Gas Law, the pressure, volume, and temperature of a gas are related. When the temperature of a gas is increased, the particles within the gas will gain more energy and move faster, causing an increase in pressure and volume.

In this specific scenario, if the temperature of the gas in the sealed plastic bag were to increase ten times, the volume of the gas would also increase ten times due to the direct relationship between temperature and volume in the Ideal Gas Law.

This increase in volume could potentially cause the plastic bag to expand or even burst open if the pressure becomes too great. It is important to note that other factors, such as the amount of gas and pressure within the sealed plastic bag, would also play a role in determining the outcome of this scenario.

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arrange the following compounds in order of decreasing boiling point, putting the compound with the highest boiling point first. a) I > II > III. b) I > III > II. c) III > I > II. d) III > II > I.

Answers

The correct order of decreasing boiling points is: I > III > II. The closest answer choice is b) I > III > II.

The order of boiling points of the given compounds can be determined by analyzing their intermolecular forces, which are influenced by the molecular weight, polarity, and ability to form hydrogen bonds.

I. CH3CH2CH2CH2NH2 (1-amino-butane): This compound can form hydrogen bonds between the NH2 group and the adjacent molecules, and it also has a higher molecular weight than the other two compounds, which increases its boiling point.

II. CH3CH2OCH2CH3 (diethyl ether): This compound is polar due to the oxygen atom, but it cannot form hydrogen bonds, which reduces its boiling point compared to compound I.

III. CH3CH2CH2CH2OH (1-butanol): This compound is also polar and can form hydrogen bonds, but its molecular weight is lower than that of compound I, which reduces its boiling point.

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correct question

arrange the following compounds in order of decreasing boiling point, putting the compound with the highest boiling point first.

I. CH3CH2CH2CH2NH2      

II. CH3CH2OCH2CH3  

III. CH3CH2CH2CH2OH  

a) I > II > III.

b) I > III > II.

c) III > I > II.

d) III > II > I.

When dissolved in water, of HClO4, Ca(OH)2, KOH, HI, which are bases?
Question 5 options:
1) Ca(OH)2 and KOH
2) only HI
3) HClO4 and HI
4) only KOH

Answers

When dissolved in water, Ca(OH)2 and KOH are bases. HClO4 and HI are acids. The  correct option is (1).

A substance is classified as a base if it accepts protons (H+) when dissolved in water. Ca(OH)2 and KOH both contain hydroxide ions (OH-) that readily accept protons from water, making them bases. On the other hand, HClO4 and HI are both acids.

HClO4 is a strong acid, meaning that it dissociates completely in water, releasing H+ ions. HI is also an acid, as it contains hydrogen ions that are readily released in water.

The basicity or acidity of a substance is determined by its ability to donate or accept protons in a solution. The pH scale, which ranges from 0 to 14, measures the acidity or basicity of a solution.

A pH value below 7 indicates acidity, while a pH above 7 indicates basicity. The neutrality point is pH 7, which corresponds to a solution with an equal concentration of H+ and OH- ions.

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given this reaction: 2nh3(g)<--->n2(g) 3h2(g) where delta g rxn= 16.4kj/mol; delta h rxn=91.8 kj/mol. the standard molar enthalpy of formation in KJmol −1 of NH3​ (g) is

Answers

The standard molar enthalpy of formation of NH3(g) is 45.9 kJ/mol.

The standard molar enthalpy of formation of NH3(g) can be calculated using the given values of delta G_rxn and delta H_rxn for the reaction 2NH3(g) <---> N2(g) + 3H2(g).

Using the relation ΔG = ΔH - TΔS, we can first calculate the standard molar entropy change (ΔS) for the reaction. Given that ΔG_rxn = 16.4 kJ/mol and ΔH_rxn = 91.8 kJ/mol, we can rearrange the equation to ΔS = (ΔH - ΔG)/T. Assuming standard conditions (T = 298.15 K), we can calculate ΔS as:

ΔS = (91.8 kJ/mol - 16.4 kJ/mol) / 298.15 K = 0.253 kJ/mol*K

Now, we can use the standard entropy change to calculate the standard molar enthalpy of formation for NH3(g). For the given reaction, the change in the number of moles of gas is:

Δn_gas = 3 - 2 = 1

The standard molar enthalpy of formation of NH3(g) can be expressed as:

ΔH_formation(NH3) = ΔH_rxn / 2 - Δn_gas * R * T * ΔS

Using the given values and the gas constant R = 8.314 J/mol*K, we can calculate the standard molar enthalpy of formation for NH3(g) as:

ΔH_formation(NH3) = (91.8 kJ/mol) / 2 - 1 * (8.314 J/mol*K) * 298.15 K * (0.253 kJ/mol*K) = 45.9 kJ/mol

Therefore, the standard molar enthalpy of formation of NH3(g) is 45.9 kJ/mol.

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what is the coordination number around the central metal atom in tris(ethylenediamine)cobalt(iii) sulfate? ([co(en)₃]₂(so₄)₃, en = h₂nch₂ch₂nh₂)?

Answers

The coordination number around the central metal atom in tris(ethylenediamine)cobalt(III) sulphate ([Co(en)₃]₂(SO₄)₃, en = H₂NCH₂CH₂NH₂) is 6.

In this complex, the central metal atom is cobalt (Co), and it is surrounded by three ethylenediamine (en) ligands. Each ethylenediamine ligand have two nitrogen atoms that can bond with the central cobalt atom, forming two coordinate covalent bonds with the cobalt atom. Since there are three ethylenediamine ligands, the total number of bonds is 3 x 2 = 6, giving a coordination number of 6 around the central metal atom. Therefore, the complex has a octahedral shape with the cobalt ion at the centre and the ethylenediamine ligands surrounding it in a symmetric arrangement.

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design a synthesis of 2-ethyl-2-hexenoic acid from alcohols of four carbons or fewer. part 1 out of 8 choose the best option for the immediate precursor to the target molecule.

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2-ethyl-2-hexenoic acid can be synthesized from but-1-ene or propanal. Both routes involve several steps and oxidation of an intermediate alcohol to yield the final product.

2-ethyl-2-hexenoic

The synthesis of 2-ethyl-2-hexenoic acid can be achieved from alcohols of four carbons or fewer through several steps.

For the immediate precursor to the target molecule, there are several options to choose from.

One possibility is to use but-1-ene as the starting material, which can undergo a double bond migration reaction to form 2-butenal. This can then be converted to 3-penten-2-one through an aldol condensation followed by dehydration.

3-Penten-2-one can then undergo a Wittig reaction with methyltriphenylphosphonium bromide to yield 2-ethyl-2-hexen-1-ol. Oxidation of the alcohol using Jones reagent or a similar oxidant can then produce the desired product, 2-ethyl-2-hexenoic acid.

Another option would be to start with propanal, which can undergo an aldol condensation with itself to form 3-hydroxybutanal. This intermediate can then be converted to 2-ethyl-2-hexen-1-ol through a series of reactions involving the formation of a tosylate, a Grignard reaction with ethylmagnesium bromide, and finally, a reduction with lithium aluminum hydride.

The alcohol can then be oxidized to the desired product, 2-ethyl-2-hexenoic acid.

Overall, both options have their advantages and disadvantages, and the choice may depend on factors such as availability and cost of starting materials, efficiency of the reactions, and ease of purification.

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An inert electrode must be used when one or more species involved in the redox reaction are:Select the correct answer below:good conductors of electricitypoor conductors of electricityeasily oxidizedeasily reduced

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An inert electrode must be used when one or more species involved in the redox reaction are poor conductors of electricity. Inert electrodes, like graphite or platinum, do not participate in the reaction and only serve as a surface for the transfer of electrons.

An inert electrode must be used when one or more species involved in the redox reaction are easily oxidized or easily reduced. This is because if a reactive electrode is used, it could participate in the reaction itself and affect the overall outcome of the reaction.

Inert electrodes, on the other hand, do not participate in the reaction and only serve as a conductor of electricity. Therefore, the correct answer to the question is either "easily oxidized" or "easily reduced."

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Answer:

poor conductors of electricity

Explanation:

If a substance involved in the redox reaction conducts electricity poorly, it cannot serve as an effective electrode. In this case, an inert electrode can be used to act as an electron sink or source in solution.

Analysis of Toluene Distillate Retention time of toluene: 12.20 min
Area for the tolene peak: 3.12 cm² Retention time of cyclohexane: 5.74 min Area for the cyclohexane peak: 0.50 cm² (0.25pts) Your retention time of toluene (min) _____
(0,25pts) Area for the toluene peak (cm²) _____
(0.25pts) Your retention time of cyclohexane (min) _____
(0.25pts) Area for the cyclohexane peak (cm²) _____
(2pts) Percent composition of toluene (%) _____
(2pts) Percent composition of cyclohexane contaminant (%) _____
(2pts) Based on GC data, how pure was your toluene fraction? _____

Answers

Based on the information provided, we can perform an analysis of the toluene distillate and determine its purity. The retention time of toluene is 12.20 minutes, indicating that it is the main component in the sample.

To determine the purity of the toluene fraction, we need to analyze the area for the cyclohexane peak. The area for the cyclohexane peak is not provided, so we cannot calculate the percent composition of the contaminant.
However, we can make an assumption that the area for the cyclohexane peak is relatively small compared to the area for the toluene peak, since the retention time for toluene is much longer than that for cyclohexane. Therefore, we can conclude that the toluene fraction is relatively pure.
It is important to note that without knowing the area for the cyclohexane peak, we cannot accurately determine the purity of the toluene fraction. It is also important to perform further analysis to confirm the purity of the toluene fraction, such as additional GC analysis or other techniques such as NMR or mass spectrometry.

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The retention time of toluene in this analysis was 12.20 minutes, and the area for the toluene peak was 3.12 cm². The retention time of cyclohexane was 5.74 minutes, and the area for the cyclohexane peak was 0.50 cm².

To calculate the percent composition of toluene and cyclohexane, we need to use the peak areas. The total area for both peaks is 3.62 cm² (3.12 cm² + 0.50 cm²).
The percent composition of toluene can be calculated by dividing the area for the toluene peak by the total area and multiplying by 100. So, the percent composition of toluene is (3.12 cm² / 3.62 cm²) x 100 = 86.19%.
Similarly, the percent composition of cyclohexane can be calculated by dividing the area for the cyclohexane peak by the total area and multiplying by 100. So, the percent composition of cyclohexane is (0.50 cm² / 3.62 cm²) x 100 = 13.81%.
To determine the purity of the toluene fraction, we need to compare the percent composition of toluene with the expected composition. Assuming the sample was pure toluene, the expected composition would be 100%. Therefore, the purity of the toluene fraction was 86.19%, indicating that there was some level of cyclohexane contaminant present in the sample.
In the given data, the retention time and area for the toluene and cyclohexane peaks are as follows:
1. Retention time of toluene (min): 12.20
2. Area for the toluene peak (cm²): 3.12
3. Retention time of cyclohexane (min): 5.74
4. Area for the cyclohexane peak (cm²): 0.50
To calculate the percent composition of toluene and cyclohexane, use the following formula:
Percent composition = (Area of the peak / Total area of all peaks) x 100
5. Percent composition of toluene (%): (3.12 / (3.12 + 0.50)) x 100 = 86.2%
6. Percent composition of cyclohexane contaminant (%): (0.50 / (3.12 + 0.50)) x 100 = 13.8%
7. Based on the GC data, the purity of the toluene fraction is 86.2%.

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Determine the number of molecules in 28.6 grams of SO₂.

Answers

To determine the number of molecules in 28.6 grams of SO₂, we first need to understand the concept of molar mass and Avogadro's number.

The molar mass of SO₂ is 64.06 g/mol, which means that one mole of SO₂ weighs 64.06 grams.

Avogadro's number is a constant that represents the number of particles (molecules or atoms) in one mole of a substance, which is approximately 6.02 x 10²³.

Using the given information, we can calculate the number of moles of SO₂ in 28.6 grams by dividing the mass by the molar mass:

28.6 g / 64.06 g/mol = 0.447 moles

Now, to determine the number of molecules, we can use Avogadro's number:

0.447 moles x 6.02 x 10²³ molecules/mol = 2.69 x 10²³ molecules

Therefore, there are approximately 2.69 x 10²³ molecules in 28.6 grams of SO₂. It is important to note that this calculation assumes that all of the SO₂ is in the gas phase,

and that there are no interactions between the molecules. Additionally, this calculation is based on the assumption that the sample is pure and that the content loaded is indeed SO₂.

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Another possible insulator for a computer chip is silicon nitride, Si3N4. The 101 J/mol- thermodynamic data needed for Sí:N4 is ΔΗο298--744 kJ/mole and ΔS":98 K. Find the temperatures at which this reaction is spontaneous: Si (s) + 2 N2 (g) → SiN, (s) MOI- 144000 iOI

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The temperatures at which the reaction of Si (s) + 2 N₂ (g) → Si₃N₄ (s) is spontaneous can be found using the equation ΔG⁰ = ΔH⁰ - TΔS⁰.

At the temperature where ΔG⁰ is equal to zero, the reaction becomes spontaneous. Rearranging the equation gives T = ΔH⁰/ΔS⁰. Plugging in the values for ΔH⁰ and ΔS⁰, we get T = 744 kJ/mole / (101 J/mol-K * 2) = 368 K or 95°C. Therefore, at temperatures higher than 368 K or 95°C, the reaction of Si (s) + 2 N₂ (g) → Si₃N₄ (s) will be spontaneous.

In simpler terms, the temperature at which this reaction becomes spontaneous can be found using the formula T = ΔH⁰/ΔS⁰. Plugging in the values given for Si₃N₄, we get a temperature of 368 K or 95°C. This means that at temperatures higher than 95°C, the reaction will occur naturally without the need for any external energy input.

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calculate the molecular mass (molecular weight) of lauric acid, c12h24o2.

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The molecular mass of lauric acid (C₁₂H₂₄O₂) is 200.32 g/mol.

To calculate the molecular mass of lauric acid (C₁₂H₂₄O₂), first, identify the number of each atom present in the molecular formula, which are 12 carbon (C) atoms, 24 hydrogen (H) atoms, and 2 oxygen (O) atoms. Next, find the atomic mass of each element from the periodic table: Carbon has an atomic mass of 12.01 g/mol, Hydrogen has an atomic mass of 1.01 g/mol, and Oxygen has an atomic mass of 16.00 g/mol.

Now, multiply the atomic mass of each element by the number of atoms of that element in the molecular formula: 12 (12.01) for carbon, 24 (1.01) for hydrogen, and 2 (16.00) for oxygen. Finally, add these values together: (12 x 12.01) + (24 x 1.01) + (2 x 16.00) = 144.12 + 24.24 + 32.00 = 200.32 g/mol.

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Treatment of D-mannose with methanol in the presence of an acid catalyst yields four isomeric products having the molecular formula C7​H14​O6​. What are these four products?

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The four isomeric products yielded by the treatment of D-mannose with methanol in the presence of an acid catalyst are 1,2;3,4;2,3;4,5-pentamethoxy-1,2,3,4,5-pentahydroxyhexanes.

When D-mannose is treated with methanol and an acid catalyst, it undergoes methylation at the hydroxyl group present on its molecule. Methylation is the addition of a methyl group (-CH3) to a molecule. As there are several hydroxyl groups present on the D-mannose molecule, methylation can occur at any of these hydroxyl groups. Therefore, multiple isomers are formed as a result of this reaction. In this case, four isomers are formed, which have the molecular formula C7​H14​O6​.

In the isomer 1,2-pentamethoxy-1,2,3,4,5-pentahydroxyhexane, the methyl groups are attached to the carbon atoms at positions 1 and 2. In the isomer 3,4-pentamethoxy-1,2,3,4,5-pentahydroxyhexane, the methyl groups are attached to the carbon atoms at positions 3 and 4. In the isomer 2,3-pentamethoxy-1,2,3,4,5-pentahydroxyhexane, the methyl groups are attached to the carbon atoms at positions 2 and 3. In the isomer 4,5-pentamethoxy-1,2,3,4,5-pentahydroxyhexane, the methyl groups are attached to the carbon atoms at positions 4 and 5.

In summary, the treatment of D-mannose with methanol in the presence of an acid catalyst yields four isomeric products with the molecular formula C7​H14​O6​. These isomers differ in the position of the methyl groups on the D-mannose molecule, and they are 1,2;3,4;2,3;4,5-pentamethoxy-1,2,3,4,5-pentahydroxyhexanes.

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calculate the binding energy (in mev/nucleon) of be-9. mm be-9 = 9.00999 g/mol mm proton = 1.00728 g/mol mm neutron = 1.00866 g/mol 1mev = 1.60218 * 10-13 j

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In nuclear physics, the binding energy is the minimum energy required to disassemble a nucleus into its constituent parts. It is the energy equivalent of the mass defect of a nucleus, which is the difference between the mass of an atom and the sum of the masses of its protons, neutrons, and electrons.

The binding energy per nucleon, on the other hand, is the binding energy divided by the total number of nucleons (protons and neutrons) in the nucleus. It is a measure of the stability of the nucleus, as a higher binding energy per nucleon implies a more tightly bound and stable nucleus.

We also need to know the masses of protons and neutrons, which are approximately 1.00728 g/mol and 1.00866 g/mol, respectively. Converting these to kilograms and using the speed of light in vacuum (c) and the conversion factor 1 MeV = 1.60218 x 10^-13 J, we can calculate the binding energy per nucleon of Be-9:

BE = [Z(mass proton) + N(mass neutron) - M(mass of nucleus)] × c^2 / A

where:

Z = atomic number = 4 (for Be-9)

N = number of neutrons = 5 (for Be-9)

M = mass of nucleus = 1.5 x 10^-26 kg

c = speed of light in vacuum = 2.998 x 10^8 m/s

1 MeV = 1.60218 x 10^-13 J

Plugging in the values, we get:

BE = [4(1.00728 u) + 5(1.00866 u) - 9.00999 u] × (2.998 x 10^8 m/s)^2 / 9

= -57.7 MeV

Dividing this by the total number of nucleons (9) gives us the binding energy per nucleon:

Binding energy per nucleon = (-57.7 MeV) / 9 ≈ -6.4 MeV/nucleon

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How many grams of lithium nitrate, LINO3 , will be


needed to make 5. 31 grams of lithium sulfate, Li2SO4,


assuming that you have an adequate amount of lead(IV)


sulfate, Pb(SO4)2, to do the reaction? Round your final


answer to the tenth place, 1 decimal, and NO UNITS.

Answers

To determine the grams of lithium nitrate (LiNO3) needed to produce 5.31 grams of lithium sulfate (Li2SO4), we need to compare the molar masses and stoichiometry of the two compounds.

The balanced chemical equation for the reaction is:
3 LiNO3 + Pb(SO4)2 → 2 Li2SO4 + Pb(NO3)4

From the equation, we can see that 3 moles of LiNO3 react to produce 2 moles of Li2SO4.

To calculate the grams of LiNO3 needed, we can use the following steps:
1. Convert the given mass of Li2SO4 to moles using its molar mass.
2. Set up the mole ratio between LiNO3 and Li2SO4 from the balanced equation.
3. Use the mole ratio to calculate the moles of LiNO3 needed.
4. Convert the moles of LiNO3 to grams using its molar mass.

By following these steps and using the appropriate values, we can find the grams of LiNO3 required to produce 5.31 grams of Li2SO4.

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21.3 draw the two possible enols that can be formed from 3-methyl-2-butanone and show a mechanism of formation of each under base-catalyzed conditions.

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The two possible enols that can be formed from 3-methyl-2-butanone are the alpha-enol and the beta-enol. The mechanism of formation of each enol involves deprotonation of a specific carbon atom by the base, followed by protonation of the oxygen atom by the acidic solvent.

To draw the two possible enols that can be formed from 3-methyl-2-butanone, we first need to understand the structure of the molecule. 3-methyl-2-butanone is a ketone with a methyl group and a carbonyl group attached to a four-carbon chain. When this molecule is treated with a base, such as sodium hydroxide, it can undergo an acid-base reaction that results in the formation of an enolate ion. The enolate ion can then tautomerize to form an enol.

The first possible enol that can be formed from 3-methyl-2-butanone is the alpha-enol. In this enol, the double bond is located between the carbonyl carbon and the alpha-carbon, which is the carbon directly adjacent to the carbonyl carbon. The mechanism of formation of the alpha-enol involves deprotonation of the alpha-carbon by the base, followed by protonation of the oxygen atom by the acidic solvent. This is shown in the following mechanism:



The second possible enol that can be formed from 3-methyl-2-butanone is the beta-enol. In this enol, the double bond is located between the alpha-carbon and the beta-carbon, which is the carbon two carbons away from the carbonyl carbon. The mechanism of formation of the beta-enol involves deprotonation of the beta-carbon by the base, followed by protonation of the oxygen atom by the acidic solvent. This is shown in the following mechanism:


In summary, the two possible enols that can be formed from 3-methyl-2-butanone are the alpha-enol and the beta-enol. The mechanism of formation of each enol involves deprotonation of a specific carbon atom by the base, followed by protonation of the oxygen atom by the acidic solvent.

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