The total concentration of a phosphate buffer containing NaH 2

PO 4

and Na 2

HPO 4

is 15mM and pH of the solution is 7.3. What would be the concentration of each phosphate species in the buffer. Given that pK a

=7.2

Answers

Answer 1

The concentration of each phosphate species in the buffer are H2PO4- = 5.34 mM and HPO42- = 9.66 mM.

The total concentration of a phosphate buffer containing NaH2PO4​ and Na2HPO4​ is 15 mM and pH of the solution is 7.3. We need to calculate the concentration of each phosphate species in the buffer.

Given that pKa​= 7.2.The reaction equation for the phosphate buffer is as follows;

H2PO4- ⇔ HPO42-  + H+

The pKa of the acid is 7.2.

Hence, pH = pKa + log([HPO42-]/[H2PO4-])

or, log([HPO42-]/[H2PO4-]) = pH - pKa

or, log([HPO42-]/[H2PO4-]) = 7.3 - 7.2

or, log([HPO42-]/[H2PO4-]) = 0.1

or, [HPO42-]/[H2PO4-] = 10^(0.1)

or, [HPO42-]/[H2PO4-] = 1.258

or, [H2PO4-] = 15/(1 + 1.258)

= 5.34 m

M [HPO42-] = 15 - 5.34

= 9.66 mM

Therefore, the concentration of each phosphate species in the buffer are as follows:

H2PO4- = 5.34 mM HPO42- = 9.66 mM

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Related Questions

The solubility-product constant for ce(io3)3 is 3.2 x 10-10. what is the ce3 concentration in a solution prepared by mixing 50.0 ml of 0.0250 m ce3 with 50.00 ml of water?

Answers

The final concentration of Ce³⁺ in the solution prepared by mixing 50.0 mL of 0.0250 M Ce³⁺ with 50.00 mL of water is 0.0125 M.

To solve this problem

We can use the concept of dilution. Dilution involves adding a solvent (in this case, water) to a solution to reduce its concentration.

The initial concentration of Ce³⁺ in the 50.0 mL solution is 0.0250 M. However, when it is mixed with 50.00 mL of water, the volume of the solution doubles to 100.0 mL (50.0 mL + 50.00 mL). Therefore, the final concentration of Ce³⁺ can be calculated as follows:

[tex]C^1V^1 = C^2V^2[/tex]

Where

[tex]C^1[/tex] = initial concentration of Ce³⁺ (0.0250 M)[tex]V^1[/tex] = initial volume of the Ce³⁺ solution (50.0 mL)[tex]C^2[/tex] = final concentration of Ce³⁺ (to be determined)[tex]V^2[/tex] = final volume of the solution (100.0 mL)

Substituting the values into the equation:

(0.0250 M)(50.0 mL) = [tex]C^2[/tex](100.0 mL)

[tex]C^2[/tex] = (0.0250 M)(50.0 mL) / (100.0 mL)

[tex]C^2[/tex]= 0.0125 M

So, the final concentration of Ce³⁺ in the solution prepared by mixing 50.0 mL of 0.0250 M Ce³⁺ with 50.00 mL of water is 0.0125 M.

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I need help with these questions please
1.Milk of magnesia is used as an antiacid. what propertied of this substance allow it to be an effective anti-acid medicine?
2. Nitrogen base deoxiribose and a phospho group are all parts of this compound?
3. methane is a non-polar molecule and hydrogen sulfide is a polar molecule. which one of these substance can be dissolved in water?
4. how would ph of basic solutions change after additional of an acid?

Answers

When an acid is added to a basic solution, the pH of the basic solution decreases.

The pH of a basic solution will decrease as a result of the acid being added because the acid will react with the base to form a salt and water, resulting in a lower pH.

1. Milk of magnesia is used as an antacid.

What properties of this substance allow it to be an effective anti-acid medicine?

Milk of magnesia, also known as magnesium hydroxide, has basic or alkaline properties that allow it to be an effective anti-acid medicine. It reacts with and neutralizes excess acid in the stomach, resulting in a reduction in stomach acid levels, which helps to relieve indigestion, heartburn, and other acid-related issues.

2.Nitrogen base deoxyribose and a phospho group are all parts of this compound?

The compound that consists of a nitrogen base, deoxyribose, and a phosphate group is called a nucleotide.

3. Methane is a non-polar molecule, and hydrogen sulfide is a polar molecule.

Which one of these substances can be dissolved in water?

Hydrogen sulfide is a polar molecule, so it can dissolve in water, while methane is a non-polar molecule, so it cannot dissolve in water.

4. How would the pH of basic solutions change after the addition of an acid?

When an acid is added to a basic solution, the pH of the basic solution decreases. The pH of a basic solution will decrease as a result of the acid being added because the acid will react with the base to form a salt and water, resulting in a lower pH.

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Which of these moves energy by gaining or losing electrons, in the form of hydrogen? * 1 point

A - ATP/ADP

B - CoA/Acetyl-CoA

C - NAD+/NADH

D - Glucose

Answers

NAD+/NADH moves energy by gaining or losing electrons, in the form of hydrogen. NAD+ (nicotinamide adenine dinucleotide) and NADH (reduced form of NAD+) are involved in redox reactions, specifically in the transfer of electrons during cellular respiration.


NAD+ acts as an oxidizing agent by accepting electrons, while NADH acts as a reducing agent by donating electrons.

During the process of cellular respiration, glucose is broken down, and electrons are transferred to NAD+, resulting in the formation of NADH. NADH then carries these electrons to the electron transport chain, where they are ultimately used to generate ATP (adenosine triphosphate), the energy currency of cells.

In this electron transfer process, NAD+ gains electrons to form NADH, and vice versa. The movement of electrons between NAD+ and NADH is directly involved in the transfer of energy, as the electrons carry energy that is ultimately used to produce ATP.



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Calculate the number of moles of o2 required to react with phosphorus to produce 3.56g of p406

Answers

To calculate the number of moles of O2 required to react with phosphorus to produce 3.56g of P406, we need to use the stoichiometry of the balanced equation.

The balanced equation for the reaction between phosphorus and oxygen is: 4 P + 5 O2 → P4O10
According to the stoichiometry of the balanced equation, 4 moles of phosphorus react with 5 moles of O2 to produce 1 mole of P4O10.  To find the number of moles of O2 required, we can set up a proportion:
(5 moles O2) / (1 mole P4O10) = (x moles O2) / (3.56g P4O10)
Cross-multiplying and solving for x, we get:

x = (5 moles O2 * 3.56g P4O10) / (1 mole P4O10)
x = 17.8 moles O2.

The number of moles of O2 required to react with phosphorus to produce 3.56g of P406 is 17.8 moles. This is determined using the stoichiometry of the balanced equation, which states that 4 moles of phosphorus react with 5 moles of O2 to produce 1 mole of P4O10. By setting up a proportion and cross-multiplying, we can solve for the unknown number of moles of O2. Plugging in the given mass of P4O10 (3.56g) and solving the equation, we find that 17.8 moles of O2 are required for the given reaction.

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a sodium–antimony–telluride intermetallic allows sodium-metal cycling at 100% depth of discharge and as an anode-free metal battery

Answers

An anode-free metal battery is a new type of battery that includes an intermetallic sodium-antimony-telluride alloy as its cathode and a sodium-metal alloy as its anode. During the battery's charging and discharging process, the sodium-antimony-telluride alloy is converted to sodium and antimony-telluride.

The advantage of the sodium–antimony–telluride intermetallic is that it allows for complete discharge of the sodium-metal at 100 percent depth of discharge. This is due to the fact that the tellurium in the cathode reacts with the sodium metal anode to create a highly conductive, low resistance layer that enhances the battery's performance.Sodium-metal batteries are more reliable and have a higher energy density than conventional lithium-ion batteries, which makes them ideal for use in grid-level energy storage.

Sodium-ion batteries can be made with abundant, low-cost materials and require minimal manufacturing costs, making them more affordable than lithium-ion batteries. In addition, sodium is less hazardous and has a higher melting point than lithium, which makes it a safer option for use in high-temperature environments.An anode-free metal battery is an exciting new technology that is expected to be used in large-scale energy storage systems and other applications in the future. They are expected to be more cost-effective and environmentally friendly than current energy storage systems, which will help to promote a more sustainable energy future.

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What is the chemical formula for the compound formed between indium(III) and fluorine? formula: What is the chemical formula for the compound formed between indium(III) and sulfur? formula:

Answers

The formula is In2S3. The chemical formula for the compound formed between indium(III) and fluorine is InF3.

Indium (III) ion has a +3 charge and Fluorine ion has a -1 charge. In order to make a compound, they should react in a ratio that the total charge of the compound is zero. As fluorine has a charge of -1, so three fluorine atoms are needed to balance the charge of In. Hence, the formula is InF3.The chemical formula for the compound formed between indium(III) and sulfur is In2S3.

Indium (III) ion has a +3 charge and Sulfur ion has a -2 charge. In order to make a compound, they should react in a ratio that the total charge of the compound is zero. As Sulfur has a charge of -2, so two sulfur atoms are needed to balance the charge of 3 In. Hence, the formula is In2S3.

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Explain why the ΔE for trans-1,3-dimethylcyclohexane is 0 . 3. Compare the ΔE for methylcyclohexane and trans-1,4-dimethylcyclohexane. Explain the relationship between the structures and the observed ΔE. 4. Compare the ΔE for cis-1,3-dimethylcyclohexane and trans-1,3-dimethylcyclohexane. Explain the relationship between the structures and the observed ΔE.

Answers

When the substituents are in the axial positions, the substituents will be close to one another in cis-1,3-dimethylcyclohexane. The torsional strain will cause the ΔE value to be higher when the substituents are in the axial positions, as they are in cis-1,3-dimethylcyclohexane.

Explanation of ΔE for trans-1,3-dimethylcyclohexane.The cis-trans isomerism in cycloalkanes is observed only when the ring contains two methyl groups in it. If the substituents are larger than the methyl group, then there will be conformational isomers available. The trans-1,3-dimethylcyclohexane isomer is a molecule with both substituents in axial positions.

The difference in energy between the axial and equatorial positions is the cause of the ring flip. Since both of the substituents are large, the difference in energy between the axial and equatorial positions is minimal, resulting in a ring flip. The ΔE for trans-1,3-dimethylcyclohexane is zero because it undergoes the ring flip without any energy loss.2. Comparison of ΔE for methylcyclohexane and trans-1,4-dimethylcyclohexane.Methylcyclohexane, which has a cis and trans isomer, will be used for the comparison.

The cis isomer of methylcyclohexane is higher in energy than the trans isomer, thus the ΔE value for the cis isomer will be greater than that of the trans isomer. Trans-1,4-dimethylcyclohexane has a ΔE value of 2.6 kcal/mol.3. Explanation of the relationship between structures and the observed ΔE.In trans-1,4-dimethylcyclohexane, both of the methyl groups are separated by one carbon atom.

The substituents' torsional strain has to be overcome in order to position the substituents in the axial positions, thus the ΔE value is higher.4. Comparison of ΔE for cis-1,3-dimethylcyclohexane and trans-1,3-dimethylcyclohexane.Cis-1,3-dimethylcyclohexane has a higher ΔE than trans-1,3-dimethylcyclohexane.

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according to rutherford's nuclear theory, the number of negatively charged particles outside the nucleus is blank the number of positively charged particles within the nucleus, so a nitrogen atom has 7 protons and 7 electrons, while a phosphorous atom cannot have 15 protons and 150 electrons.

Answers

According to Rutherford's nuclear theory, the number of negatively charged particles outside the nucleus is equal to the number of positively charged particles within the nucleus.

Rutherford's nuclear hypothesis states that ratio of negatively charged particles outside nucleus to positively charged particles inside the nucleus is one-to-one. This implies that the number of protons and electrons in an atom is equal. An atom with an atomic number of 7 has 7 protons and 7 electrons, which suggests it is a nitrogen atom.

The negative charge of electrons in an electron cloud encircling the nucleus balances the positive charge of the protons in the nucleus to produce a neutral atom. However, the periodic table indicates that phosphorus has an atomic number of 15, which corresponds to a total of 15 protons. There would be 15 electrons in a neutral phosphorus atom to counteract the protons' positive charge.

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What periodic trend does the atomic radius follow? A. It decreases from top to bottom. B. It increases from left to right. C. It stays the same across the table. D. It decreases from left to right.

Answers

Answer and Explanation:

The correct answer is B. The atomic radius increases from left to right across the periodic table.

There are a few factors that contribute to this trend. As you move from left to right across a period (horizontal row), the atomic number increases, meaning there are more protons in the nucleus. The increase in positive charge in the nucleus exerts a stronger pull on the electrons present in the same energy level, causing the electron cloud to be pulled closer to the nucleus.

Additionally, as you move from left to right across a period, the number of energy levels or shells remains mostly constant, while the number of protons and electrons increases. The increase in electron-electron repulsion forces the electrons to spread out over the same energy levels, thus increasing the size of the electron cloud and atomic radius.

However, it is important to note that when moving down a group (vertical column), the atomic radius generally increases. This is because each subsequent row adds a new energy level or shell, increasing the average distance between the nucleus and the outermost electrons. The additional energy levels contribute to shielding the outer electrons from the pull of the nucleus, leading to a larger atomic radius.

So, the atomic radius trend in the periodic table is that it generally increases from left to right across a period and increases from top to bottom within a group.

it is on SWRO plant with a capacity of 50000m3/day the tds of the feed is 41690ppm implying a chloride ion level of around 23000ppm the temperature of the feed is around 18°C in March and 27°C in September the reject has a tds of 64500ppm . the pressure is 70 bar, that plant started to produce water in June 2003 and corrosion problem appeared already few months of service, two type of corrosion could be established, one being crevice corrosion in 11/2" high pressure connector underneath victauling coupling example the same type of problem that have been corrosion in 316L and 317L high pressure piping seven out of 700 such connector were reported to have suffered this type crevice corrosion after 4 months only, provide the remedy to end the problem

Answers

To address the crevice corrosion issue in the high-pressure connectors and piping of the SWRO plant, several remedies can be considered, A SWRO (Sea Water Reverse Osmosis) plant is a water desalination facility that uses reverse osmosis technology to treat seawater or brackish water and produce freshwater

Material Selection: Evaluate the material compatibility with the operating conditions, especially the chloride ion concentration and temperature. Consider using corrosion-resistant alloys such as duplex stainless steel (e.g., 2205) or super duplex stainless steel (e.g., 2507) that have better resistance to chloride-induced corrosion compared to 316L or 317L stainless steel.

Surface Treatment: Apply appropriate surface treatments to enhance corrosion resistance. Passivation or pickling can remove surface contaminants and create a protective oxide layer on the metal surface, reducing the susceptibility to corrosion.

Design Modifications: Evaluate the design of the connectors and piping to minimize crevices and stagnant areas where corrosion can occur. Smooth transitions, avoiding sharp angles or crevices, can help promote better fluid flow and prevent the accumulation of corrosive substances.

Cathodic Protection: Implement cathodic protection methods, such as impressed current or sacrificial anodes, to protect the connectors and piping from corrosion. This technique involves introducing a more easily corroded metal (anode) to the system, which sacrifices itself to protect the connected metal (cathode) from corrosion.

Monitoring and Maintenance: Regularly monitor the corrosion levels and condition of the connectors and piping. Implement a maintenance program that includes periodic inspections, cleaning, and repairs, if necessary, to prevent corrosion from progressing.

It is important to consult with corrosion experts and engineers who specialize in SWRO plant operations to assess the specific conditions, perform material testing, and provide tailored solutions to mitigate the crevice corrosion problem effectively.

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(a) does fadh2 have a thermodynamic tendency to reduce coenzyme q at ph = 7? (b) does oxidized cytochrome b have a thermodynamic tendency to oxidize reduced cytochrome f at ph=7?

Answers

A. Yes, FADH2 does have a thermodynamic tendency to reduce coenzyme q at ph = 7.

B. Yes, oxidized cytochrome b have a thermodynamic tendency to oxidize reduced cytochrome f at ph=7.

How is this possible?

(a) The thermodynamic tendency of FADH2 to reduce coenzyme Q at pH 7 depends on the redox potentials of these molecules. FADH2 is a reduced form of flavin adenine dinucleotide, while coenzyme Q (also known as ubiquinone) can exist in various redox states.

To determine the thermodynamic tendency, we compare the standard reduction potentials (E°) of FAD/FADH2 and coenzyme Q. If the reduction potential of FAD/FADH2 is more negative (i.e., a higher tendency to be reduced) than that of coenzyme Q, then FADH2 will have a thermodynamic tendency to reduce coenzyme Q at pH 7.

(b) The thermodynamic tendency of oxidized cytochrome b to oxidize reduced cytochrome f at pH 7 also depends on their respective redox potentials. Cytochrome b and cytochrome f are both components of the electron transport chain in photosynthesis.

To assess the thermodynamic tendency, we compare the standard reduction potentials (E°) of oxidized cytochrome b and reduced cytochrome f. If the reduction potential of oxidized cytochrome b is more positive (i.e., a higher tendency to be reduced) than that of reduced cytochrome f, then oxidized cytochrome b will have a thermodynamic tendency to oxidize reduced cytochrome f at pH 7.

Note that redox potentials can be influenced by pH, so the values may vary depending on the specific pH conditions.

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sort the subatomic particles according to their masses. drag each subatomic particles into the correct bin. quizlet

Answers

To sort the subatomic particles according to their masses, we need to understand the relative masses of each particle.
protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of an atom, while electrons are found in the electron cloud surrounding the nucleus.

Protons are the heaviest of the three particles, with a mass of approximately 1 atomic mass unit (amu). Neutrons also have a mass of approximately 1 amu. Electrons, on the other hand, have a much smaller mass of about 0.0005 amu.
Therefore, we can sort the subatomic particles in the following order, from heaviest to lightest: protons, neutrons, electrons. Sorting subatomic particles by their masses involves understanding the relative masses of protons, neutrons, and electrons.

Protons and neutrons are found in the nucleus of an atom and have similar masses of approximately 1 atomic mass unit (amu). Electrons, on the other hand, have a significantly smaller mass of about 0.0005 amu. To sort the particles, we start by placing protons and neutrons in the heaviest bin since they have similar masses. Then, we place electrons in the lightest bin since they have the smallest mass. This order can be remembered by recalling that protons and neutrons are found in the nucleus, which is at the center of an atom, while electrons are in the electron cloud surrounding the nucleus. In summary, the subatomic particles can be sorted according to their masses as follows: protons and neutrons in the heaviest bin, and electrons in the lightest bin.

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Acetic acid has a pka of 4.75. if ph is 6.75, which concentration will be higher, acetate or acetic acid?

Answers

The concentration of acetate will be higher than acetic acid when the pH is 6.75. Acetic acid (CH3COOH) is a weak acid that can partially dissociate into acetate ions (CH3COO-) and hydrogen ions (H+).

The pKa value of 4.75 represents the pH at which half of the acetic acid is dissociated. When the pH is higher than the pKa, the concentration of acetate ions increases, and the concentration of acetic acid decreases. This is because at a higher pH, there are more hydroxide ions (OH-) present, which react with the hydrogen ions to form water, shifting the equilibrium towards acetate ion formation. Therefore, at pH 6.75, the concentration of acetate will be higher than that of acetic acid.


The pKa of a weak acid is a measure of its acidity. It represents the pH at which half of the acid molecules have dissociated into ions. Acetic acid (CH3COOH) is a weak acid, and its pKa is 4.75. At a pH higher than the pKa, the concentration of acetate ions (CH3COO-) is greater than the concentration of acetic acid molecules. This is because the pH affects the equilibrium between the acid and its conjugate base. In this case, a higher pH means more hydroxide ions (OH-) are present, which react with the hydrogen ions (H+) from the acetic acid to form water. This shifts the equilibrium towards the formation of acetate ions. Hence, at pH 6.75, the concentration of acetate will be higher than that of acetic acid.

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What is the most effective ph for extracting aqueous acetic acid (ch3cooh) into hexane (ch3ch2ch2ch2ch2ch3)? the pka of acetic acid (ch3cooh) is 4.756.

Answers

To achieve the most efficient extraction of aqueous acetic acid into hexane, it is recommended to adjust the pH of the aqueous phase to be equal to the pKa of acetic acid, which is 4.756.

The most effective pH for extracting aqueous acetic acid (CH₃COOH) into hexane (CH₃CH₂CH₂CH₂CH₂CH₃) is when the pH of the aqueous phase is equal to the pKa of acetic acid, which is 4.756. At this pH, the concentration of the acid and its conjugate base (CH₃COO-) in the aqueous phase will be equal. This balance allows for efficient partitioning of the acetic acid into the organic phase, which in this case is hexane.

The pKa value represents the acidity of a compound, specifically the pH at which half of the molecules exist in the acidic form (CH₃COOH) and half in the conjugate base form (CH₃COO-). When the pH of the aqueous phase matches the pKa of the acid, the equilibrium between the acid and its conjugate base is achieved.

In the case of acetic acid, at a pH lower than the pKa (i.e., acidic conditions), the concentration of the acidic form (CH₃COOH) will be higher, favoring extraction into the organic phase. On the other hand, at a pH higher than the pKa (i.e., basic conditions), the concentration of the conjugate base (CH₃COO-) will be higher, resulting in less extraction into the organic phase.

Therefore, to achieve the most efficient extraction of aqueous acetic acid into hexane, it is recommended to adjust the pH of the aqueous phase to be equal to the pKa of acetic acid, which is 4.756.

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What do the orbital shapeshave to do with the spacial arrangement of any covalently bonded atoms?

Answers

Orbital shape has everything to do with the spatial arrangement of covalently bonded atoms.

In chemistry, orbitals are the regions where electrons are found orbiting around the nucleus of an atom.

The shape of the orbital is determined by the Schrödinger equation, which is a fundamental equation in quantum mechanics.

The spatial arrangement of any covalently bonded atoms is dictated by the orbitals involved in the bond.

The hybridization of orbitals occurs in the bonding process.

The orbitals combine to form new hybrid orbitals with different shapes, which determine the spatial arrangement of atoms.

These hybrid orbitals include sp, sp2, and sp3 orbitals, which correspond to different bond angles and geometries.

In conclusion, the shape of the orbitals affects the spatial arrangement of covalently bonded atoms.

Hybrid orbitals are formed when the orbitals combine, and these hybrid orbitals determine the spatial arrangement of the atoms.

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If you added 0.832 g of Mg to a solution containing 1.794 g of C
u
S
O
4
, to reduce any copper ions present, what is the least volume of 6.0 M HCl you would need to dissolve the excess Mg? Explain why you chose this volume.

Answers

To determine the least volume of 6.0 M HCl required to dissolve the excess Mg in the solution after adding 0.832 g of Mg to a solution containing 1.794 g of CuSO4, we can use the balanced chemical equation for the reaction between magnesium and hydrochloric acid.

The balanced chemical equation for the reaction between magnesium and hydrochloric acid is given below:

Mg + 2HCl → MgCl2 + H2

From the equation, we can see that 1 mole of Mg reacts with 2 moles of HCl to form 1 mole of MgCl2 and 1 mole of H2. Therefore, we can calculate the moles of Mg and use stoichiometry to determine the moles of HCl required to react with the Mg added.

The moles of Mg added to the solution can be calculated as follows:

Mass of Mg = 0.832 g

Molar mass of Mg = 24.31 g/mol

Number of moles of Mg = mass/molar mass= 0.832/24.31

= 0.034 moles

The balanced equation shows that 1 mole of Mg reacts with 2 moles of HCl. Therefore, the moles of HCl required to react with the Mg added is:

2 x 0.034 = 0.068 moles

Since the concentration of HCl is given as 6.0 M, we can use the molarity equation to calculate the volume of HCl required to react with the Mg added.

Molarity of HCl = moles of solute/volume of solution in liters

Volume of HCl = moles of solute/molarity of HCl

= 0.068/6.0

= 0.0113 L

= 11.3 mL

Therefore, the least volume of 6.0 M HCl required to dissolve the excess Mg in the solution is 11.3 mL.

Explanation:To dissolve the excess Mg in the solution, we need to add an excess of hydrochloric acid to the solution. The balanced chemical equation for the reaction between magnesium and hydrochloric acid shows that 1 mole of Mg reacts with 2 moles of HCl to form 1 mole of MgCl2 and 1 mole of H2. Therefore, we need to add 2 moles of HCl for every mole of Mg added to the solution.Since we know the moles of Mg added, we can use stoichiometry to determine the moles of HCl required to react with the Mg added. Once we know the moles of HCl required, we can use the molarity equation to calculate the volume of HCl required to react with the Mg added.

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(Reaction-Diffusion) Consider the model of a drug patch discussed in class. The drug diffuses with diffusion coefficient D but also degrades according to a first order chemical reaction with rate constant k. The chemical concentration of the drug is u(x,t)(M/L) and the patch at x=0 provides a concentration u(0,t)=Ae −kt
, also decaying in time. The new PDE problem for the concentration of the drug is: ∂t
∂u

=D ∂x 2
∂ 2
u

−ku,x>0,t>0 IC: u(x,0)=0 BC: u(0,t)=Ae −kt
,u([infinity],t)=0. (a) Identify the meaning of each term on the right side of equation (1). (b) If the concentration is independent of x, i.e. a simple first order chemical reaction, state and solve the ODE for kinetics of the reaction assuming an initial concentration of A. You can look for a solution of (1) that only depends on x. (c) Use (1) to find an equation for the long-time or steady-state concentration, i.e. U(x)= lim t→[infinity]

u(x,t). Is this what you expected, explain. What if the boundary condition was u(0,t)=A, find U(x) now?

Answers

The reaction removes the drug from the system. If the boundary condition at x = 0 were U(0) = A, the equation for the steady-state concentration would be U(x) = A(1-[tex]e^{(-x √(k/D)}[/tex])) / (1-[tex]e^{(-x √(k/D)}[/tex])).

a) The right-hand side of the PDE in question consists of two terms, namely diffusion and reaction. The diffusion term describes how the chemical substance moves throughout the space, while the reaction term describes how it changes with time.The term ∂t u on the left-hand side represents the time derivative of the concentration of the substance.

b) If the concentration of the substance is independent of x, then the diffusion term in the PDE becomes 0.

As a result, the PDE becomes an ordinary differential equation (ODE), and it reduces to the first-order differential equation (ODE).

dA/dt

= -kA with the initial condition A(0)

= A.

The solution to this differential equation is given by A(t)

= A₀ [tex]e^{(-kt).}[/tex]

c) In the long run, the concentration of the drug stabilizes, and the time derivative ∂t u becomes 0.

As a result, the steady-state concentration U(x) satisfies the equation 0

= D∂x² U - kU, with the boundary conditions U(0)

= A[tex]e^{(-kt).}[/tex] and U(inf)

= 0.

Solving this equation with these boundary conditions gives U(x)

= A(1-[tex]e^{(-x √(k/D)}[/tex])) / (1-[tex]e^{(-x √(k/D)}[/tex])).

This equation implies that the concentration of the drug decreases exponentially as x increases.

The equation is expected to decrease exponentially because the reaction removes the drug from the system. If the boundary condition at x

= 0 were U(0)

= A, the equation for the steady-state concentration would be U(x)

= A(1-[tex]e^{(-x √(k/D)}[/tex])) / (1-[tex]e^{(-x √(k/D)}[/tex])).

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How would the presence of a transition metal ion contaminant in your unknown sample affect your calculation of ppm caco3?

Answers

The presence of a transition metal ion contaminant in an unknown sample would affect the calculation of ppm CaCO3 by leading to inaccurate results. In this case, ppm CaCO3 (parts per million calcium carbonate) is a measure of the amount of calcium carbonate in a sample.

Let's say the sample contains a transition metal ion contaminant, which can react with the EDTA titrant.

The transition metal ion contaminant could react with the EDTA titrant and thus reduce the amount of EDTA available to react with calcium carbonate.

This could lead to an underestimation of the amount of calcium carbonate present in the sample.

The EDTA titration method is used to measure the amount of calcium carbonate in a sample.

The titration works by reacting the calcium carbonate with EDTA (ethylene diamine tetra acetic acid), which is a chelating agent that binds to calcium ions.

The endpoint of the titration is reached when all the calcium ions in the sample have been bound to EDTA, leaving no more free calcium ions to react with the indicator.

In conclusion, the presence of a transition metal ion contaminant in the sample can interfere with the EDTA titration method and lead to inaccurate results in the calculation of ppm CaCO3.

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If the same large amount of heat is added to a 250 g piece of aluminum and a 150 g piece of aluminum, what will happen?

Answers

The 150 g Al will reach a higher temperature
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If you are extracting a substance from water into ether, it is more effective to do one extraction with 300ml of ether or three extractions with 100ml ? 4. What is the minimum value of K D

which would allow the extraction of 99.9% of a solute from 50ml of water with five successive 50ml portions of ether? Three extractions with 50ml portions of chloroform removed 97% of a solute from 200 ml of an aqueous solution. Calculate the partition coefficient of the solute: K D

=C chloro ​
/C aq. ​
Two weak bases (organic amities) have basic dissociation constants of K bA

=1×10 −4
and K bB

=1×10 −8
. Both bases have partition coefficients of approximately 10 between chloroform and water. Describe a procedure, making use of the difference in K b

, for separating the two by extraction. Two weak acids, HX and HY, have partition coefficients, K D

=C e

/C aq

, of 5 and 50 respectively, and dissociation constants of 1×10 −4
and 1×10 −8
, respectively. Calculate the distribution ratios of the two acids at integral values of pH of the aqueous solution from pH4 to pH11, assuming equal volumes of the two solvents. What is the minimum pH for which the ratio of D values is at least 10 5
?

Answers

It is more effective to do three extractions with 100ml of ether each.The minimum value of Kᴰ that would allow the extraction of 99.9% of the solute is 10.The partition coefficient (Kᴰ) for the solute is approximately 0.307.The higher Kᵦ value for base B (KᵦB = 1×10^(-8)) to extract it more efficiently into chloroform.

For the extraction method, three extractions with 100 ml of ether each (Case 2) are more effective compared to a single extraction with 300 ml of ether (Case 1).

The minimum value of Kᴰ (partition coefficient) required to extract 99.9% of the solute from 50 ml of water using five successive 50 ml portions of ether is Kᴰ ≥ 10.

The partition coefficient (Kᴰ) for the solute in the scenario where three extractions with 50 ml portions of chloroform removed 97% of the solute from 200 ml of an aqueous solution is approximately 0.307.

To separate two weak bases (organic amines) with different dissociation constants (KᵦA = 1×10^(-4) and KᵦB = 1×10^(-8)) and similar partition coefficients (Kᴰ ≈ 10) between chloroform and water, exploit the higher Kᵦ value (KᵦB) to preferentially extract base B into chloroform.

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A 0.258g sample of a powder containing some ascorbic acid required 14.50 ml of 0.100 m naoh for complete neutralization. calculate the purity of the ascorbic acid.

Answers

1. [tex]\rm \text{{moles of NaOH}} = 1.45 \times 10^{-3} \, \text{{mol}}[/tex]

2. The moles of ascorbic acid reacted is also 1.45 × [tex]10^{-3[/tex] mol.

3. [tex]\rm \text{{grams of ascorbic acid}} = 0.255 \, \text{{g}}[/tex]

4. The purity of the ascorbic acid in the powder is approximately 98.8%.

To calculate the purity of the ascorbic acid, we can follow these steps:

1. Calculate the moles of NaOH used in the titration:

The volume of NaOH used is 14.50 mL, and the concentration is 0.100 M.

Using the formula:

[tex]\[\text{{moles of NaOH}} = \text{{concentration}} \times \text{{volume}}\]\\\\text{{moles of NaOH}} = 0.100 \, \text{{M}} \times 14.50 \times 10^{-3} \, \text{{L}}\]\\\\text{{moles of NaOH}} = 1.45 \times 10^{-3} \, \text{{mol}}\][/tex]

2. Calculate the moles of ascorbic acid reacted:

From the balanced chemical equation of the neutralization reaction, we know that the ratio of NaOH to ascorbic acid is 1:1. Therefore, the moles of ascorbic acid reacted is also 1.45 × [tex]10^{-3[/tex] mol.

3. Calculate the grams of ascorbic acid in the sample:

To calculate the mass of ascorbic acid, we need to use the molar mass of ascorbic acid, which is 176.12 g/mol.

[tex]\[\text{{grams of ascorbic acid}} = \text{{moles of ascorbic acid}} \times \text{{molar mass of ascorbic acid}}\]\\\\text{{grams of ascorbic acid}} = 1.45 \times 10^{-3} \, \text{{mol}} \times 176.12 \, \text{{g/mol}}\]\\\\text{{grams of ascorbic acid}} = 0.255 \, \text{{g}}\][/tex]

4. Calculate the percent purity of the powder:

The purity is the ratio of the mass of pure ascorbic acid to the total mass of the sample, multiplied by 100%.

[tex]\[\text{{Percent purity}} = \left(\frac{{\text{{grams of ascorbic acid}}}}{{\text{{mass of the sample}}}}\right) \times 100\%\]\\\\text{{Percent purity}} = \left(\frac{{0.255 \, \text{{g}}}}{{0.258 \, \text{{g}}}}\right) \times 100\%\]\\\\text{{Percent purity}} = 98.8\%\][/tex]

Therefore, the purity of the ascorbic acid in the powder is approximately 98.8%.

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Your question is incomplete, but most probably your full question was.

A 0.258 g sample of a powder containing some ascorbic acid required 14.50 mL of 0.100 M NaOH for complete neutralization. Calculate the purity of the ascorbic acid.

1. moles of NaOH used in the titration________.

2. moles of ascorbic acid reacted________.

3. grams of ascorbic acid in sample_________.

4. Percent purity of the powder________.

Using curved arrows, outline the mechanism for the reaction of hexane with bromine. Give the name of the reaction and the name of the reaction mechanism. [5 Marks]

Answers

The carbon radical generated above reacts with a bromine free radical to form C6H13Br.

Termination step:2C6H13• → C12H26 (Two carbon radicals combine to form a stable compound and this ends the reaction)

The name of the reaction mechanism is the radical chain mechanism.

The reaction between hexane and bromine is a substitution reaction that is initiated by light. The name of this reaction is Bromination of Hexane (C6H14) reaction.The mechanism for the reaction of hexane with bromine is a chain reaction that involves three steps.

These steps are the initiation step, the propagation step, and the termination step. Below is the outline of the mechanism using curved arrows:Initiation

step:Br2 → 2Br• (Bromine molecules split into two free radicals)Propagation

step:1. H• + Br• → HBr (Radical chain reaction starts with H• and Br• which generates HBr)

2. C6H14 + Br• → C6H13• + HBr (The free radical generated above reacts with C6H14 to generate a carbon radical and HBr)

3. Br• + C6H13• → C6H13Br.The carbon radical generated above reacts with a bromine free radical to form C6H13Br.

Termination

step:2C6H13• → C12H26 (Two carbon radicals combine to form a stable compound and this ends the reaction)The name of the reaction mechanism is the radical chain mechanism.

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Which substance elutes more quickly? why might that compound have a shorter retention time?

Answers

A substance that is more polar will elute more quickly than a less polar substance. This is because polar substances interact more strongly with the polar stationary phase of the chromatography column, and thus have shorter retention time.

Retention time is the amount of time it takes for a substance to travel through the chromatography column and reach the detector.

The reason why a more polar compound might have a shorter retention time is because it interacts less strongly with the stationary phase of the column. This could be due to a variety of factors, such as

a lower boiling point,a smaller molecular size, ora weaker polarity.

For example, a small molecule like ethanol is very polar, but it has a low boiling point and is therefore easily vaporized and eluted from the column.

In conclusion, more polar compounds will interact more strongly with the stationary phase and are elute more quickly and have longer retention times, while less polar compounds will interact less strongly and have shorter retention times.

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Identify a hydrocarbon. group of answer choices ch3ch2ch2ch3 ch3ch2cl ch3cooh ch3ch2ph2 ch3ch2sch2ch3

Answers

The hydrocarbon among the given choices is CH₃CH₂CH₂CH₃.

CH₃CH₂CH₂CH₃ represents a hydrocarbon known as butane. Hydrocarbons are organic compounds consisting solely of hydrogen (H) and carbon (C) atoms. Butane is an example of an alkane, which is a type of hydrocarbon that contains only single bonds between carbon atoms.

In the chemical formula CH₃CH₂CH₂CH₃. each "CH₃" represents a methyl group, which consists of one carbon atom bonded to three hydrogen atoms. The four methyl groups are attached in a linear arrangement, resulting in a straight-chain hydrocarbon with four carbon atoms.

Hence, the hydrocarbon CH₃CH₂CH₂CH₃ is butane.

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Carry out the given conversions from one metric unit of mass to another. 38.5dg= 0.533cg=

Answers

The given conversions are as follows 38.5 dg = 385 cg and 0.533 cg = 0.0533 dg

The conversions from one metric unit of mass to another for 38.5 dg and 0.533 cg are given below.

38.5 dg to cg 1 dg = 10 cg

As such,

38.5 dg = 38.5 × 10 cg

= 385 cg

0.533 cg to dg

1 dg = 10 cg

Therefore, 0.533 cg = 0.0533 dg

Therefore, the given conversions are as follows: 38.5 dg = 385 cg and 0.533 cg = 0.0533 dg

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A sample of wet clayey soil has a mass of 196 kg. The following data were obtained from laboratory tests on the sample: Wet density, yt = 2.1 g/cm3, G = 2.7, water content, w - 19%. Determine (i) dry density, (ii) porosity, (iii) void ratio, and (iv) degree of saturation.

Answers

The dry density is approximately 1.76 g/cm^3. The porosity is approximately 0.162 or 16.2%, the void ratio is approximately 0.193, The degree of saturation (S) is 0.844.


(i) To determine the dry density, we need to consider the mass of solid particles only. The dry density (yd) can be calculated using the following formula:

yd = yt / (1 + (w/100))

Given:

Wet density (yt) = 2.1 g/cm^3

Water content (w) = 19%

Substituting the values into the formula:

yd = 2.1 / (1 + (19/100)) = 2.1 / (1 + 0.19) = 2.1 / 1.19 ≈ 1.76 g/cm^3

Therefore, the dry density is approximately 1.76 g/cm^3.

(ii) To determine the porosity, we can use the relationship between porosity (n) and the dry density (yd) and wet density (yt):

n = (yt - yd) / yt

Substituting the values:

n = (2.1 - 1.76) / 2.1 = 0.34 / 2.1 ≈ 0.162

Therefore, the porosity is approximately 0.162 or 16.2%.

(iii) The void ratio (e) can be calculated using the formula:

e = n / (1 - n)

Substituting the value of porosity (n):

e = 0.162 / (1 - 0.162) ≈ 0.193

Therefore, the void ratio is approximately 0.193.

(iv) The degree of saturation (S) can be calculated using the formula:

S = (wt - w) / (Gw)

Given:

Water content (w) = 19%

Water content of fully saturated soil (wt) = 100%

Specific gravity of water (Gw) = 1

Substituting the values:

S = (1 - 0.19) / (1 * 0.19) ≈ 0.844

Therefore, the degree of saturation is approximately 0.844 or 84.4%.


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Use the conservation of mass interactive to answer the question. Consider the reaction. Mns(s) 2hcl(aq)⟶mncl2(aq) h2s(g) if the large amount of mns is combined with the small amount of hcl, what is the mass of the products? the mass of any excess reactants will also be included in this total

Answers

The total mass of the products, including any excess reactants, in reaction [tex]\rm MnS (s) + 2HCl(aq) \rightarrow MnCl_2(aq) + H_2S(g)[/tex] is 264.53g.

The principle of conservation of mass states that in a closed system, the total mass of the system remains constant, regardless of any physical or chemical changes that take place within it.

To determine the mass of the products of a chemical reaction, we need to use stoichiometry and the balanced chemical equation.

The balanced chemical equation for the given reaction is:

[tex]\rm MnS (s) + 2HCl(aq) \rightarrow MnCl_2(aq) + H_2S(g)[/tex]

The mole ratio of MnS to [tex]\rm MnCl_2[/tex]is 1:1, which means that if we have 1 mole of MnS, we will produce 1 mole of [tex]\rm MnCl_2[/tex].

The molar mass of MnS is 54.94 g/mol, and the molar mass of [tex]\rm MnCl_2[/tex] is 125.84 g/mol.

Assuming we have a large amount of MnS and a small amount of HCl, we can assume that MnS is the limiting reagent and HCl is the excess reagent.

Therefore, all of the MnS will react with HCl to form [tex]\rm MnCl_2[/tex] and [tex]\rm MnCl_2[/tex][tex]\rm MnCl_2[/tex].

To find the mass of the products, we need to first find the number of moles of Mns, which is equal to the mass of MnS divided by its molar mass.

If we assume we have 100 g of MnS, we have 1.82 moles of MnS. Therefore, we will produce 1.82 moles of [tex]\rm MnCl_2[/tex] and 0.91 moles of [tex]\rm H_2S[/tex]. The mass of [tex]\rm MnCl_2[/tex] is 228.47 g (1.82 moles x 125.84 g/mol), and

The mass of [tex]\rm H_2S[/tex] is 36.06 g (0.91 moles x 39.99 g/mol).

Therefore, the total mass of the products, including any excess reactants, is 264.53g

([tex]\rm 100 g\ {of}\ { MnS} + 0.22 g \ {of}\ { HCl} + 228.47 g \ {of} \ { MnCl_2} + 36.06 g\ {of} \ {H_2S}[/tex]).

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magnesium sulfate, MgSO 4

Express your answer to two decimal places and include the appropriate units.

Answers

Magnesium sulfate, MgSO4 is a white crystalline substance that is commonly used in medicine. It is also known as Epsom salt. It is used to relieve muscle aches and pains, as well as to treat a variety of medical conditions.

Magnesium sulfate, MgSO4 is a chemical compound made up of one magnesium atom, one sulfur atom, and four oxygen atoms. It is a white crystalline substance that is commonly used in medicine. It is also known as Epsom salt. It is used to relieve muscle aches and pains, as well as to treat a variety of medical conditions.Magnesium sulfate can be found naturally in seawater, as well as in certain minerals such as kieserite and epsomite. It is commonly used in agriculture as a fertilizer, as it is a good source of magnesium and sulfur. It is also used in the production of paper and textiles.Magnesium sulfate has many medical uses. It can be used to treat pre-eclampsia in pregnant women, as well as to reduce the risk of seizures in women with eclampsia.

It can also be used to treat asthma, constipation, and arrhythmias. In addition, it is used to relieve muscle aches and pains, as well as to reduce inflammation.Magnesium sulfate is also used in a variety of industrial applications. It is used to treat wastewater, as it can help to remove heavy metals and other pollutants. It is also used in the production of fertilizers and other chemicals, as well as in the manufacture of magnesium metal.In conclusion, magnesium sulfate is a versatile substance that has a wide range of uses in medicine, agriculture, and industry. It is a white crystalline substance that can be found naturally in seawater and certain minerals. It is commonly used to treat pre-eclampsia, asthma, constipation, and arrhythmias. It is also used in the production of fertilizers, chemicals, and magnesium metal.

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How many sp2 carbons are present in h2c=c=ch2?

a) 0

b) 1

c) 1.5

d) 2

e) 3

Answers

The  [tex]\rm sp^2[/tex] carbons that are present in [tex]\rm H_2C=C=CH_2[/tex] are 2. The correct answer is option d.

Hybridization describes the mixing of atomic orbitals to form new hybrid orbitals that are better suited for bonding. Hybridization occurs when atomic orbitals of similar energy levels combine to form hybrid orbitals with different shapes and energies.

The terminal carbons are [tex]\rm sp^2[/tex] hybridized, forming three sigma bonds (two with H and one with C) and one pi bond (between carbons), whereas the middle carbon is [tex]\rm sp[/tex] hybridized (as it forms 2 sigma bonds, 1 with each carbon and 2 pi bonds, one with each carbon).

Therefore, there are 2 [tex]\rm sp^2[/tex] carbon atoms present in [tex]\rm H_2C=C=CH_2[/tex] as terminal carbons. Option d is the correct answer.

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the precipitation reaction involves 75.0 ml of .0750 m solution of potassium phosphate and 75.0 ml of .0750 m iron (ii) acetate.

Answers

The precipitation reaction involves a 75.0 ml solution of 0.0750 M potassium phosphate and a 75.0 ml solution of 0.0750 M iron (II) acetate.

To determine the products of the reaction and if a precipitation reaction will occur, we need to find the net ionic equation.
2 K3PO4(aq) + 3 Fe(CH3COO)2(aq) → 6 KCH3COO(aq) + Fe3(PO4)2(s)
Write the dissociation equations for the soluble compounds.
K3PO4(aq) → 3 K+(aq) + PO4^3-(aq)
Fe(CH3COO)2(aq) → Fe^2+(aq) + 2 CH3COO^-(aq)
Identify the spectator ions.
In this case, the spectator ions are K+ and CH3COO. They do not participate in the precipitation reaction.
Write the net ionic equation.
PO4^3-(aq) + 3 Fe^2+(aq) → Fe3(PO4)2(s)
Therefore, the precipitate formed is Fe3(PO4)2.

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We can calculate the moles of the product formed. From the balanced equation, we see that 3 moles of potassium phosphate react with 2 moles of iron(II) acetate to form 1 mole of iron(II) phosphate. Therefore, the moles of iron(II) phosphate formed will be:

0.00563 moles * (1 mole Fe3(PO4)2 / 3 moles K3PO4) = 0.00188 moles

The given problem involves a precipitation reaction between potassium phosphate and iron(II) acetate. To solve this problem, we need to determine the products formed when these two solutions react.

The first step is to write the balanced chemical equation for the reaction. The balanced equation for the reaction between potassium phosphate (K3PO4) and iron(II) acetate (Fe(CH3COO)2) is:

3K3PO4 + 2Fe(CH3COO)2 → Fe3(PO4)2 + 6KCH3COO

Next, we need to determine the limiting reactant, which is the reactant that will be completely consumed in the reaction. To do this, we calculate the number of moles of each reactant:

For potassium phosphate:
75.0 mL of 0.0750 M solution = 0.0750 mol/L * 0.0750 L = 0.00563 moles

For iron(II) acetate:
75.0 mL of 0.0750 M solution = 0.0750 mol/L * 0.0750 L = 0.00563 moles

Since the moles of each reactant are the same, they are in a 1:1 ratio in the balanced equation. Therefore, neither reactant is in excess, and both will be completely consumed in the reaction.

Finally, we can calculate the moles of the product formed. From the balanced equation, we see that 3 moles of potassium phosphate react with 2 moles of iron(II) acetate to form 1 mole of iron(II) phosphate. Therefore, the moles of iron(II) phosphate formed will be:

0.00563 moles * (1 mole Fe3(PO4)2 / 3 moles K3PO4) = 0.00188 moles

So, the clear and concise answer is that the reaction will produce 0.00188 moles of iron(II) phosphate.

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