Which one of the following expressions is correct for the representation of Ca2+ (aq) concentration involved in the solubility product (Ksp) of Ca3(PO4)2 in the presence of 0.10 M of Na3PO4: 1. [Ca2+] = (Ksp/0.010)1/2 2. [Ca2+] = (Ksp/0.010)1/3 3. [Ca2+] = (Ksp/0.0010)1/2 4. [Ca2+] = (Ksp/0.0010)1/3

Answers

Answer 1

The correct expression for the representation of [tex]Ca^{2+}[/tex] (aq) concentration involved in the solubility product (Ksp) of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] in the presence of 0.10 M of Na[tex]_3[/tex]PO[tex]_4[/tex] is [ [tex]Ca^{2+}[/tex] ] = (Ksp/0.0010)1/3.  The correct answer is option 4.

The solubility product (Ksp) of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] can be expressed as:

Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] ⇌ 3 [tex]Ca^{2+}[/tex] (aq) + 2[tex]PO_4^{3-}[/tex] (aq)

The ionic product of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] can be given as:

Qsp = [ [tex]Ca^{2+}[/tex] ][tex]_3[/tex][Na[tex]_3[/tex]PO[tex]_4[/tex] ][tex]_2[/tex]

Ksp is the solubility product constant, which is the ionic product of the substance when the solution is saturated with it. If a precipitate forms, the product of the concentrations of the ions raised to their stoichiometric coefficients will be equal to the Ksp value.

The reaction quotient Qsp can be given as:

Qsp = [ [tex]Ca^{2+}[/tex] ][tex]_3[/tex][Na[tex]_3[/tex]PO[tex]_4[/tex] ][tex]_2[/tex]

For the given reaction, if Na[tex]_3[/tex]PO[tex]_4[/tex] is present at a concentration of 0.10 M, then [[tex]PO_4^{3-}[/tex]] = 3 × 0.10 = 0.30 M

At equilibrium, the amount of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] that dissolves must produce a concentration of 3[[tex]Ca^{2+}[/tex]] equal to 0.30 M.

Since there are two phosphate ions in the formula unit of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex], each mole of Ca[tex]_3[/tex](PO[tex]_4[/tex])[tex]_2[/tex] that dissolves produces 3 × (1/3) = 1 mole of  [tex]Ca^{2+}[/tex].

Therefore,[ [tex]Ca^{2+}[/tex] ] = (0.30/3) = 0.10 M

Now, the solubility product expression can be written as:

Ksp = [ [tex]Ca^{2+}[/tex] ][tex]_3[/tex][[tex]PO_4^{3-}[/tex]][tex]_2[/tex]

Substituting the values of [ [tex]Ca^{2+}[/tex] ] and [Na[tex]_3[/tex]PO[tex]_4[/tex] ] gives:

Ksp = (0.10)[tex]_3[/tex](0.30)[tex]_2[/tex]

Ksp = 0.00027 M5/0.0010 = 5([tex]10^{-3}[/tex])

Therefore, [ [tex]Ca^{2+}[/tex] ] = (Ksp/0.0010)1/3.

Therefore, option 4. [ [tex]Ca^{2+}[/tex] ] = (Ksp/0.0010)1/3 is the correct answer.

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Related Questions

Draw the structures and label the type of isomers of each ion of a)Cr(CO)3(NH3)3]3+......b) [Pd(CO)2(H2O)Cl]+

Answers

[Cr(CO)₃(NH₃)₃]³⁺: No geometric isomers.

[Pd(CO)₂(H₂O)Cl]⁺: Geometric isomerism possible (cis and trans).

The complex ion [Cr(CO)₃(NH₃)₃]³⁺ does not have any geometric isomers because all the ligands (CO and NH₃) are arranged in a symmetric manner around the central chromium (Cr) atom.

The complex ion [Pd(CO)₂(H₂O)Cl]⁺ can exhibit geometric isomerism if the two CO ligands are arranged in a cis (same side) or trans (opposite side) configuration with respect to each other.

The provided structures represent the spatial arrangement of ligands around the central metal atom/ion, and the isomerism is determined by the relative positions of the ligands. The labels "cis" and "trans" are commonly used to describe geometric isomers, where "cis" indicates ligands on the same side, and "trans" indicates ligands on opposite sides.

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based on nuclear stability, what is the most likely product nuclide when nitrogen-13 undergoes decay?

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Based on nuclear stability, the most likely product nuclide when nitrogen-13 undergoes decay is carbon-13. This is because carbon-13 has the same number of protons (6) as nitrogen-13, but one fewer neutron (7 vs. 8).

This makes carbon-13 more stable, as it has a lower neutron-to-proton ratio.

Nitrogen-13 can also decay by beta decay, but this is a less likely process. Beta decay occurs when a neutron in the nucleus decays into a proton, an electron, and an antineutrino.

This process increases the number of protons in the nucleus by 1, while decreasing the number of neutrons by 1. In the case of nitrogen-13, this would result in the formation of oxygen-13, which is not as stable as carbon-13.

Therefore, the most likely product nuclide when nitrogen-13 undergoes decay is carbon-13.

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When considering the structure for 4POC, which of the following conclusions can be made about parallel ß sheets? A. Parallel B sheets are often found in the protein interior due to the arrangement of nonpolar amino acids on both sides of the sheet. B. Parallel ß sheets are often found in the protein interior due to the arrangement of nonpolar amino acids on one side of the sheet. C. Parallel ß sheets are often found on the protein exterior due to the arrangement of nonpolar amino acids on both sides of the sheet. D. Parallel B sheets are often found on the protein exterior due to the arrangement of nonpolar amino acids on one side of the sheet.

Answers

When considering the structure for 4POC, Parallel β sheets are often found in the protein interior due to the arrangement of nonpolar amino acids on both sides of the sheet.  Thus, correct option is (A).

Option (A) is the proper conclusion. Because they are stabilized by interactions between nonpolar amino acids on both sides of the sheet, parallel sheets are frequently found inside proteins. These nonpolar residues can interact well with one another outside of an aqueous environment due to their hydrophobic nature. The protein structure is stabilized by this configuration.

Contrarily, parallel sheets with nonpolar amino acids on either one side of the sheet (option B) or on both sides of the sheet in the protein exterior (option C) are less frequent because doing so would expose hydrophobic residues unfavorably to the solvent and cause the protein to become instabilized.

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Would the pH at the equivalence point be acidic, basic, or neutral for each given titration?
CH3COOH with Sr(OH)2
Choose...BasicAcidicNeutral
HCl with NH3
Choose...BasicAcidicNeutral
HClO4 with Ba(OH)2
Choose...BasicAcidicNeutral

Answers

The pH at the equivalence point of the titration between CH₃COOH and Sr(OH)₂ is basic, the pH at the equivalence point of the titration between HCl and NH₃ is acidic, and the pH at the equivalence point of the titration between HClO₄ and Ba(OH)₂ is neutral.

For the titration of CH₃COOH with Sr(OH)₂:

The reaction between CH₃COOH (acetic acid) and Sr(OH)₂ (strontium hydroxide) produces a salt, Sr(CH₃COO)₂, and water. The salt Sr(CH₃COO)₂ is a weak base.

At the equivalence point, all of the acetic acids reacted with strontium hydroxide, resulting in the formation of the salt. The salt Sr(CH₃COO)₂ will hydrolyze in water, producing hydroxide ions (OH⁻).

Therefore, at the equivalence point, the pH will be basic.

For the titration of HCl with NH₃:

The reaction between HCl (hydrochloric acid) and NH₃ (ammonia) produces ammonium chloride (NH₄Cl).

At the equivalence point, all of the hydrochloric acids have reacted with ammonia, resulting in the formation of ammonium chloride. Ammonium chloride is a salt.

The salt NH₄Cl will dissociate in water to produce ammonium ions (NH₄⁺) and chloride ions (Cl⁻). The presence of the ammonium ions will make the solution acidic.

Therefore, at the equivalence point, the pH will be acidic.

For the titration of HClO₄ with Ba(OH)₂:

The reaction between HClO₄ (perchloric acid) and Ba(OH)₂ (barium hydroxide) produces barium perchlorate (Ba(ClO₄)₂) and water.

At the equivalence point, all of the perchloric acids reacted with barium hydroxide, resulting in the formation of barium perchlorate. Barium perchlorate is a salt.

The salt Ba(ClO₄)₂ will dissociate in water to produce barium ions (Ba²⁺) and perchlorate ions (ClO₄⁻). The presence of the barium ions will not significantly affect the pH of the solution.

Therefore, at the equivalence point, the pH will be neutral.

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using the equation e=(hcrh)(1n2)=(−2.18×10−18j)(1n2) calculate the energy of an electron in the hydrogen atom when n=2 .

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When n=2, the energy of an electron in the hydrogen atom is calculated using the equation e = (-2.18 × 10^-18 J)(1/n^2). Plugging in the values, the energy is found to be -5.45 × 10^-19 J.

The energy of an electron in the hydrogen atom when n=2 can be calculated using the equation e=(hcR_H)(1/n^2), where e represents energy, h is the Planck constant (6.62607015 × 10^-34 J·s), c is the speed of light (2.998 × 10^8 m/s), R_H is the Rydberg constant for hydrogen (1.0973731568539 × 10^7 m^-1), and n is the principal quantum number. Plugging in the values, we get e = (-2.18 × 10^-18 J)(1/n^2). When n=2, the energy can be calculated as e = (-2.18 × 10^-18 J)(1/2^2) = -5.45 × 10^-19 J.

The explanation of the calculation involves substituting the given values into the equation. First, the Planck constant (h) is multiplied by the speed of light (c) and the Rydberg constant for hydrogen (R_H). Then, we multiply the result by 1 divided by the square of the principal quantum number (n^2). In this case, n is given as 2. Thus, we calculate 1/2^2, which is 1/4. Multiplying this value by the previously calculated expression, we find the energy to be -5.45 × 10^-19 J. The negative sign indicates that the energy is bound, meaning the electron is in a lower energy state within the hydrogen atom.

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Asappp In which of the following reactions is chlorine (ci) oxidized?
A. Br2 + 2ci" = ci2 +2Br"
B. Ci2 + 2e" = 2ci"
C. 2cio3" + 12h+ = ci2 + 6h2o
D. 2na + ci2 = 2naCi

Answers

In the given reactions, the species chlorine (Cl) can undergo oxidation when its oxidation state increases. Let's analyze each reaction:

A. Br2 + 2Cl- = Cl2 + 2Br-

In this reaction, chlorine starts with an oxidation state of -1 and ends with an oxidation state of 0. It gains electrons and gets reduced rather than being oxidized.

B. Cl2 + 2e- = 2Cl-

In this reaction, chlorine starts with an oxidation state of 0 and ends with an oxidation state of -1. Chlorine gains electrons and gets reduced rather than being oxidized.

C. 2ClO3- + 12H+ = Cl2 + 6H2O

In this reaction, chlorine starts with an oxidation state of +5 in ClO3- and ends with an oxidation state of 0 in Cl2. Chlorine goes from a higher oxidation state to a lower oxidation state, indicating oxidation has occurred.

D. 2Na + Cl2 = 2NaCl

In this reaction, chlorine starts with an oxidation state of 0 in Cl2 and ends with an oxidation state of -1 in NaCl. Chlorine gains electrons and gets reduced rather than being oxidized.

Therefore, the correct answer is option C. In reaction C, chlorine is oxidized from an oxidation state of +5 to 0.

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true/false. "introduction to general, organic, and biochemistry" by sally solomon

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The statement: The claim that "Introduction to General, Organic, and Biochemistry" by Sally Solomon is a real book is: false.

How can we determine the falseness of the claim that "Introduction to General, Organic, and Biochemistry" by Sally Solomon is a real book?

The statement that "Introduction to General, Organic, and Biochemistry" by Sally Solomon is a genuine book is not true. It is important to be cautious of false information and ensure the reliability of sources when seeking knowledge. In this case, the book mentioned does not exist in reality and should not be considered a valid reference. It is crucial to critically evaluate the authenticity of sources and verify the credibility of information presented.

Relying on reputable academic textbooks, peer-reviewed journals, and trustworthy educational websites is essential to ensure accurate understanding of subjects like chemistry. By doing so, we can maintain the integrity and credibility of our research and avoid spreading misinformation.

Therefore, the correct answer is: False.

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All of the following compounds would produce an electrolyte solution when dissolved in water except:
A) Glucose B) Magnesium sulfate C) Ammonium chloride D) Potassium iodide

Answers

The compound that would not produce an electrolyte solution when dissolved in water among the given options is glucose (option A). Magnesium sulfate (option B), ammonium chloride (option C), and potassium iodide (option D) are all ionic compounds that dissociate into ions when dissolved in water, making them electrolytes. In contrast, glucose is a covalent compound that does not dissociate into ions in water, resulting in a non-electrolyte solution.

An electrolyte is a substance that, when dissolved in water or another solvent, dissociates into ions and conducts electricity. Ionic compounds, which are formed by the transfer of electrons between atoms, are typically strong electrolytes. When they dissolve in water, the positive and negative ions separate and are free to move, allowing the solution to conduct electricity.

Among the given options, glucose (option A) is a covalent compound consisting of carbon, hydrogen, and oxygen atoms. Covalent compounds share electrons rather than transferring them, and therefore, they do not dissociate into ions when dissolved in water. As a result, glucose does not produce an electrolyte solution.

On the other hand, magnesium sulfate (option B), ammonium chloride (option C), and potassium iodide (option D) are all ionic compounds. Magnesium sulfate dissociates into magnesium ions (Mg2+) and sulfate ions (SO42-), ammonium chloride dissociates into ammonium ions (NH4+) and chloride ions (Cl-), and potassium iodide dissociates into potassium ions (K+) and iodide ions (I-). When these compounds dissolve in water, the ions separate and can conduct electricity, making them electrolytes.

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the following equation shows the formation of water from hydrogen and oxygen. 2h2 o2 → 2h2o how many grams of water will form if 10.54 g h2 reacts with 95.10 g o2? g h2o

Answers

The balanced chemical equation for the formation of water from hydrogen and oxygen is given below:

2H2(g) + O2(g) → 2H2O(l)

The equation shows that 2 moles of hydrogen react with 1 mole of oxygen to form 2 moles of water.

The molar mass of hydrogen is 2.016 g/mol, while that of oxygen is 32.00 g/mol.

Therefore, the number of moles of hydrogen that reacts can be determined as follows:

n(H2) = mass/Mr(H2)n(H2) = 10.54 g/2.016 g/moln(H2) = 5.23 mol

Similarly, the number of moles of oxygen can be calculated as follows:

n(O2) = mass/Mr(O2)n(O2) = 95.10 g/32.00 g/moln(O2) = 2.97 mol

From the balanced chemical equation, it can be seen that 2 moles of water is produced for every 2 moles of hydrogen and 1 mole of oxygen that react.

Therefore, the number of moles of water that is produced can be calculated as follows:

n(H2O) = 2 x n(O2)n(H2O) = 2 x 2.97n(H2O) = 5.94 mol

The mass of water produced can be determined using the following formula:

mass = n(H2O) x Mr(H2O)

mass = 5.94 mol x 18.015 g/mol

mass = 106.97 g

Thus, 106.97 g of water will be formed if 10.54 g H2 reacts with 95.10 g O2.

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Answer: its 94.03

Explanation: hydrogen

kat is investigating a compound and sees that it has even stronger hydrogen bonds than water. what can kat conclude is most likely true about the specific heat of this compound? it is higher than the specific heat of water. it is equal to the specific heat of water. it is slightly lower than the specific heat of water. it is half as much as the specific heat of water.

Answers

Based on the information provided, if the compound has stronger hydrogen bonds than water, it suggests that the compound has a higher specific heat than water. The correct option is A.

Specific heat is a measure of how much heat energy is required to raise the temperature of a substance.

Water has a high specific heat due to its extensive hydrogen bonding, which allows it to absorb and release heat energy effectively.

If the compound being investigated has even stronger hydrogen bonds than water, it implies that it can absorb more heat energy before its temperature increases significantly.

Therefore, it can be concluded that the specific heat of this compound is higher than the specific heat of water, as it can absorb and store more heat energy per unit mass, making it more resistant to temperature changes. The correct option is A.

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there are two different compounds of phosphorus and fluorine. in pf6 , the mass of fluorine per gram of phosphorus is 4.86 g f/g p . in the other compound, pfx , the mass of fluorine per gram of phosphorus is 2.43 g f/g p . what is the value of x for the second compound?

Answers

The question is about two different compounds of phosphorus and fluorine. In the compound PF6, the mass of fluorine per gram of phosphorus is 4.86 g f/g p. Therefore, the value of x for the second compound is 6.

In the second compound, PFX, the mass of fluorine per gram of phosphorus is 2.43 g f/g p, and we need to find the value of X for this compound. We have to assume that the mass of phosphorus in both compounds is the same. Let's calculate the molar mass of PF6 and PFX:PF6: Molar mass of

PF6 = (1 × Molar mass of P) + (6 × Molar mass of F) = Molar mass of P + (6 × 19) = Molar mass of P + 114.

Molar mass of PF6 = 285.83 g/mol.

Mass of phosphorus in PF6 is 30.97 g/mol.

Mass of fluorine in PF6 is 254.86 g/mol.

PFX: Molar mass of PFX = (1 × Molar mass of P) + (x × Molar mass of F) = Molar mass of P + (x × 19).

The mass of phosphorus per gram in both the compounds is the same.

Therefore, we can equate the mass of fluorine in the two compounds:mass of fluorine in PF6 / mass of phosphorus in

PF6 = mass of fluorine in PFX / mass of phosphorus in PFX.

4.86 g f/g p = mass of fluorine in PFX / (30.97 g/mol)mass of fluorine in PFX = (4.86 g f/g p) × (30.97 g/mol)mass of fluorine in PFX = 150.82 g/mol

Molar mass of PFX = Molar mass of P + (x × 19) = 30.97 + (x × 19)150.82 = 30.97 + (x × 19)x × 19 = 119.85x = 119.85 / 19x = 6.31x = 6 (rounded off to the nearest whole number)

Therefore, the value of x for the second compound is 6.

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draw the structure(s) of the carboxylic acids with formula c6h12o2 that contain an ethyl group branching off the main chain.

Answers

Carboxylic acids are organic acids that contain the carboxyl functional group (–COOH) as their structural feature.  the structures of the carboxylic acids with the formula C6H12O2 that contain an ethyl group branching off the main chain are pentanoic acid and 3-methylbutanoic acid.

They can be found in various organic materials such as fruits, fats, and oils. The structure(s) of carboxylic acids with the formula C6H12O2 that contain an ethyl group branching off the main chain can be represented as follows:Two isomers can be possible for the given formula C6H12O2. They are pentanoic acid and 3-methylbutanoic acid.Pentanoic acid has a straight-chain of five carbon atoms (pentane) with a carboxyl group at one end and an ethyl group branching off from the fourth carbon atom. The structure of pentanoic acid is as follows:3-Methylbutanoic acid is a branched-chain carboxylic acid in which the carboxyl group is attached to the third carbon atom of a four-carbon chain, with an ethyl group attached to the second carbon atom. The structure of 3-methylbutanoic acid is as follows:Therefore, the structures of the carboxylic acids with the formula C6H12O2 that contain an ethyl group branching off the main chain are pentanoic acid and 3-methylbutanoic acid.

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.A highly positive charged protein will bind a cation exchanger and elute of with a high salt buffer.
True or False?

Answers

The given statement "A highly positive charged protein will bind a cation exchanger and elute of with a high salt buffer" is true.

A cation exchanger is an adsorbent that is used to extract charged molecules from a solution and purify them. This adsorbent binds to molecules that are charged positively because it bears a negative charge. The cation exchanger is typically a negatively charged polymer that is insoluble in water and which is a negatively charged polymer. The cation exchanger will bind positively charged protein molecules in a similar manner. Cation exchange chromatography is a type of chromatography that separates molecules based on their charge. The cation exchanger is an example of a stationary phase in cation exchange chromatography. Proteins with positive charges will stick to the stationary phase, and they will elute when a high salt buffer is passed through the column to compete for the binding sites on the stationary phase.

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According to the Standard Reduction Potential Table in your textbook, assign the anode and cathode for thecell pairs, B1-B2, A1-B2, AND A2-B2 described in the Procedure

Answers

For the B₁-B₂ cell pair, B₂ is the cathode, and B₁ is the anode. For the A₁-B₂ cell pair, B₂ is the cathode, and A₁ is the anode. For the A₂-B₂ cell pair, B₂ is the cathode, and A₂ is the anode.

B₁-B₂:

The half-reaction at B₁ is given as A⁺(aq) + 2e⁻ → A(s) with a reduction potential of -0.78 V.

The half-reaction at B₂ is given as B⁺(aq) + e⁻ → B(s) with a reduction potential of -0.45 V.

Since the reduction potential of B₂ (-0.45 V) is more positive than B₁ (-0.78 V), B2 will be the cathode, and B1 will be the anode.

A₁-B₂:

The half-reaction at A₁ is given as C⁺(aq) + 2e⁻ → C(s) with a reduction potential of -0.95 V.

The half-reaction at B₂ is the same as mentioned before B⁺(aq) + e⁻ → B(s) with a reduction potential of -0.45 V.

Since the reduction potential of B₂ (-0.45 V) is more positive than A₁ (-0.95 V), B₂ will be the cathode, and A₁ will be the anode.

A₂-B₂:

The half-reaction at A₂ is given as D⁺(aq) + 2e⁻ → D(s) with a reduction potential of -0.70 V.

The half-reaction at B₂ is the same as mentioned before B⁺(aq) + e⁻ → B(s) with a reduction potential of -0.45 V.

Since the reduction potential of B₂ (-0.45 V) is more positive than A₂ (-0.70 V), B₂ will be the cathode, and A₂ will be the anode.

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n the titration of 50.0 mL of 0.250 M CH_3COOH with 0.250 M KOH, which of the following species are present in significant amounts in the resultant solution after addition of 40 mL of KOH? I. CH_3COOH (aq) I
I. CH_3COO^- (aq) III. OH^- (aq) A. only B. II only C. III only D. I and II only E. I and III only

Answers

The balanced chemical equation for the reaction between CH3COOH (acetic acid) and KOH (potassium hydroxide) is given below.

CH3COOH + KOH → CH3COOK + H2OIn this reaction, potassium acetate and water are formed. So, the significant species present in the resultant solution after the addition of KOH can be obtained as follows:Initial number of moles of CH3COOH in 50.0 mL = 0.250 M × 50.0 mL / 1000 mL = 0.0125 molAfter the addition of 40.0 mL of 0.250 M KOH, number of moles of KOH added = 0.250 M × 40.0 mL / 1000 mL = 0.010 molThe reaction between CH3COOH and KOH is a neutralization reaction, where equal numbers of moles of acid and base react with each other. So, the limiting reactant here is KOH, as it has fewer moles than CH3COOH. Therefore, the number of moles of CH3COOH remaining after the reaction = 0.0125 mol – 0.010 mol = 0.0025 molNow, the number of moles of CH3COO- (acetate ions) formed = 0.010 molThe volume of the resultant solution = volume of CH3COOH + volume of KOH = 50.0 mL + 40.0 mL = 90.0 mLSo, the concentration of CH3COO- in the resultant solution = number of moles of CH3COO- / volume of solution = 0.010 mol / 0.090 L = 0.111 MThe concentration of CH3COOH in the resultant solution = number of moles of CH3COOH / volume of solution = 0.0025 mol / 0.090 L = 0.0278 MThe concentration of OH- in the resultant solution is calculated using the concentration of KOH that has reacted.COH- = CKOH × VKOH / Vtotal = 0.250 M × 0.040 L / 0.090 L = 0.111 MTherefore, the significant species present in the resultant solution are I and II only. That is, CH3COOH and CH3COO-. So, the correct option is D.

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A 10. 0-mL sample of 1. 0 M NaHCO3 is titrated with 1. 0 M HCl (hydrochloric acid). Approximate the titration curve by plotting the following points: pH after 0 mL HCl added, pH after 1. 0 mL HCl added, pH after 9. 5 mL HCl added, pH after 10. 0 mL HCl added (equivalence point), pH after 10. 5 mL HCl added, and pH after 12. 0 mL HCl added

Answers

A titration curve is a graph showing the progress of a titration of a mixture of chemicals as a function of the amount of reactant added. A plot of pH vs. quantity of titrant added is a typical titration curve.

The curve's form is determined by the nature of the titrant, the nature of the sample being evaluated, the extent of the acid-base reaction, and the concentration of the reactants. Furthermore, the equivalence point, which is the point at which the quantity of titrant added is just enough to neutralize the sample being titrated, is often indicated on a titration curve. The titration curve for a strong base-weak acid titration and the titration curve for a weak acid-strong base titration differ slightly, with different pH ranges and shapes. In general, the titration curve of a weak acid-strong base titration begins and ends at higher pH values than the titration curve of a strong acid-weak base titration. In addition, the titration curve of a weak acid-strong base titration has a distinct inflection point that is not present in the titration curve of a strong acid-weak base titration.

Finally, the titration curve of a weak acid-strong base titration is shown below. Therefore, let's look at the pH values of NaHCO3 titrated with 1.0 M HCl. 1. pH after 0 mL HCl addedThe pH of NaHCO3, which is a weak base, is slightly basic, or around 8.4.2. pH after 1.0 mL HCl addedWe will see a little decrease in pH when we add 1.0 mL of 1.0 M HCl to 10.0 mL of 1.0 M NaHCO3.3. pH after 9.5 mL HCl addedThe pH of NaHCO3 is about 4.5 at this point. This is the endpoint of the weak acid-strong base titration.4. pH after 10.0 mL HCl addedThe equivalence point is reached after adding 10.0 mL of HCl, which corresponds to the neutralization of 10.0 mL of 1.0 M NaHCO3. The pH at the equivalence point of a weak acid-strong base titration is around 7.0.5. pH after 10.5 mL HCl addedAt this point, the pH of the mixture is more acidic, approximately 3.5.6. pH after 12.0 mL HCl addedThis point will be more acidic than the previous point, and the pH will be around 2.0 to 2.5.

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A coffee cup calorimeter with a heat capacity of 6. 70 J/∘ C was used to measure the change in enthalpy of a precipitation reaction. A 50. 0 mL solution of 0. 360 M AgNO3 was mixed with 50. 0 mL of 0. 540 M KSCN. After mixing, the temperature was observed to increase by 4. 06∘C. Calculate the enthalpy of reaction, ΔHrxn, per mole of precipitate formed (AgSCN). Assume the specific heat of the product solution is 4. 11 J / (g⋅∘C) and that the density of both the reactant solutions is 1. 00 g/mL. Calculate the theoretical moles of precipitate formed from AgNO3 and KSCN. Moles of precipitate formed from AgNO3: mol moles of precipitate formed from KSCN: mol Calculate the heat change experienced by the calorimeter contents, ????contents. ????contents= J Calculate the heat change expierenced by the calorimeter contents, ????cal. ????cal= J Calculate the heat change produced by the solution process, ????solution. ????solution= J Calulate ΔHsolution for one mole of precipitate formed. ΔHsolution= kJ/mole

Answers

A coffee cup temperature  with a heat capacity of 6. 70 J/∘ C was used to measure the change in enthalpy of a precipitation reaction.The value of ΔHrxn was found to be 61.9 kJ/mol.

Calculate the enthalpy of reaction, ΔHrxn, per mole of precipitate formed (AgSCN). Assume the specific heat of the product solution is 4. 11 J / (g⋅∘C) and that the density of both the reactant solutions is 1. 00 g/mL.1. Calculation of Moles of precipitate formed from AgNO3:To find the value of ΔHrxn, we used the formula ΔHrxn = Qsolution/n, where Qsolution is the heat change produced by the solution process and n is the number of moles of AgSCN formed.

To find the value of n, we first calculated the number of moles of AgNO3 and KSCN used in the reaction using the formula n = M × V.To find the heat change produced by the solution process, we used the formula

Q = m × c × ∆T,

where Q is the heat change, m is the mass of the product solution, c is the specific heat capacity of the product solution, and ∆T is the change in temperature of the solution.The value of ΔHrxn was found to be 61.9 kJ/mol.

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Calculate the change in pH when 9.00 mL of 0.100 M HCl(aq) is added to 100.0 mL of a buffer solution that is 0.100 M in NH3(aq) and 0.100 M in NH4Cl(aq). Consult the table of ionization constants as needed.
ΔpH=
Calculate the change in pH when 9.00 mL of 0.100 M NaOH is added to the original buffer solution.
ΔpH=

Answers

In both cases, the change in pH is 0.18 because the amount of HCl or NaOH added is equal to the buffer capacity of the buffer solution.

How to find pH?

The buffer solution is a weak base-weak acid buffer. The pH of a buffer solution is given by the Henderson-Hasselbalch equation:

pH = pKa + log([A⁻]/[HA])

where:

pH = pH of the solution

pKa = negative logarithm of the acid dissociation constant

[A⁻] = concentration of the conjugate base

[HA] = concentration of the acid

The pKa of ammonia is 9.25. The concentration of ammonia is 0.100 M and the concentration of ammonium chloride is 0.100 M.

Substituting these values into the Henderson-Hasselbalch equation:

pH = 9.25 + log([NH₃]/[NH₄Cl])

pH = 9.25 + log(0.100/0.100)

pH = 9.25

When 9.00 mL of 0.100 M HCl is added to the buffer solution, the concentration of HCl is 0.0090 M. The HCl will react with the ammonia in the buffer solution to form ammonium chloride. The reaction is:

HCl + NH₃ ⇔ NH₄Cl

The concentration of ammonia will decrease and the concentration of ammonium chloride will increase. The new concentration of ammonia will be 0.091 M and the new concentration of ammonium chloride will be 0.109 M.

Substituting these values into the Henderson-Hasselbalch equation:

pH = 9.25 + log(0.091/0.109)

pH = 9.07

The change in pH is:

ΔpH = 9.25 - 9.07 = 0.18

Calculating the change in pH when 9.00 mL of 0.100 M NaOH is added to the original buffer solution:

The NaOH will react with the ammonium chloride in the buffer solution to form ammonia and water. The reaction is:

NaOH + NH₄Cl ⇔ NH₃ + H₂O + NaCl

The concentration of ammonia will increase and the concentration of ammonium chloride will decrease. The new concentration of ammonia will be 0.109 M and the new concentration of ammonium chloride will be 0.091 M.

Substituting these values into the Henderson-Hasselbalch equation:

pH = 9.25 + log(0.109/0.091)

pH = 9.43

The change in pH is:

ΔpH = 9.43 - 9.25 = 0.18

In both cases, the change in pH is 0.18. This is because the amount of HCl or NaOH added is equal to the buffer capacity of the buffer solution. The buffer capacity is the amount of acid or base that can be added to a buffer solution before the pH changes by 1 unit.

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suppose the decay constant of a radioactive substance a is twice the decay constant of radioactive substance b. if substance b has a half-life of substance a

Answers

If substance B has a half-life (denoted as t½) that is equal to the decay constant (λ) of substance A, we can use this information to find the relationship between the decay constants of A and B.

The half-life (t½) of a radioactive substance is related to its decay constant (λ) by the following equation:

t½ = ln(2) / λ

t½ (B) = λ (A)

Using the equation for half-life, we have:

ln(2) / λ (B) = λ (A)

λ (A) = 2λ (B)

Substituting this into the equation above, we get:

ln(2) / λ (B) = 2λ (B)

ln(2) = 2λ² (B)

2λ² (B) = ln(2)

λ² (B) = ln(2) / 2

Taking the square root of both sides:

λ (B) = √(ln(2) / 2)

So, the decay constant of substance B is equal to the square root of ln(2) divided by 2.

To summarize:

λ (A) = 2λ (B)

λ (B) = √(ln(2) / 2)

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Which of the following elements would you expect to have the greatest first ionization energy?
A. Se
B. S
C. K
D. Cl
E. Ca

Answers

The element with the greatest first ionization energy among the given options is Se (selenium).

Option (A) is correct.

The first ionization energy refers to the energy required to remove one electron from an atom in its neutral state, forming a positively charged ion. The greater the ionization energy, the more difficult it is to remove an electron.

Considering the elements provided, analyze their positions in the periodic table to make an educated guess:

A. Se (selenium) - Selenium is found in Group 16 (Group 6A) of the periodic table.

B. S (sulfur) - Sulfur is also found in Group 16 (Group 6A) of the periodic table.

C. K (potassium) - Potassium is found in Group 1 (Group 1A) of the periodic table.

D. Cl (chlorine) - Chlorine is found in Group 17 (Group 7A) of the periodic table.

E. Ca (calcium) - Calcium is found in Group 2 (Group 2A) of the periodic table.

Based on the periodic trends, the elements in the upper right portion of the periodic table tend to have the greatest first ionization energies. This is because these elements have a higher effective nuclear charge and a smaller atomic radius.

Comparing the given options, we can see that:

A. Se and B. S are both in Group 16 (Group 6A). Since they are closer to the upper right portion of the periodic table, would expect them to have higher first ionization energies compared to the other options.

C. K is in Group 1 (Group 1A), which is in the far left portion of the periodic table. Elements in this group tend to have lower first ionization energies compared to those in the upper right portion.

D. Cl is in Group 17 (Group 7A), which is closer to the upper right portion of the periodic table compared to Group 1. Therefore, chlorine would have a higher first ionization energy than potassium but likely lower than selenium and sulfur.

E. Ca is in Group 2 (Group 2A), which is to the left of Group 1. Elements in Group 2 have higher first ionization energies compared to those in Group 1 but generally lower than elements in the upper right portion.

Considering these trends, the element with the greatest first ionization energy among the given options is:

A. Se (selenium)

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(a)Use the standard reduction
potentials to calculate the standard
free-energy change, ∆G0, and the
equilibrium constant, K, at 298 K
for the reaction
4 Ag(s) + O2(g) + 4 H+(aq)
→ 4 Ag+(aq) + 2 H2O(l)
(b)Suppose the reaction in part
(a) is written
2 Ag(s) + ½ O2(g) + 2 H+(aq)
→ 2 Ag+(aq) + H2O(l)
What are the values of E0, ∆G0, and K
when the reaction is written in this way?

Answers

The standard free-energy change (∆G0) for the reaction is -546.7 kJ/mol, and the equilibrium constant (K) at 298 K is approximately 1.2 x 10^54.

To calculate the standard free-energy change (∆G0) and the equilibrium constant (K) for the reaction, we can use the Nernst equation and standard reduction potentials.

Given standard reduction potentials at 298 K:

E°(Ag+(aq)/Ag(s)) = +0.80 V

E°(O2(g)/H2O(l)) = +1.23 V

E°(H+(aq)/H2(g)) = 0.00 V

Step 1: Calculate the standard cell potential (E°cell) using the reduction half-reactions.

E°cell = E°(Ag+(aq)/Ag(s)) + E°(O2(g)/H2O(l)) - E°(H+(aq)/H2(g))

E°cell = 0.80 V + 1.23 V - 0.00 V = 2.03 V

Step 2: Calculate the standard free-energy change (∆G0) using the equation:

∆G0 = -nF∆E°cell

where n is the number of moles of electrons transferred (in this case, n = 4), and F is Faraday's constant (F = 96,485 C/mol).

∆G0 = -4 * 96,485 C/mol * 2.03 V = -393,454 J/mol = -393.454 kJ/mol

Step 3: Calculate the equilibrium constant (K) using the relationship between ∆G0 and K:

∆G0 = -RT ln(K)

where R is the gas constant (R = 8.314 J/(mol·K)), and T is the temperature in Kelvin (T = 298 K).

-393.454 kJ/mol = -8.314 J/(mol·K) * 298 K * ln(K)

ln(K) = -393,454 J/mol / (-8.314 J/(mol·K) * 298 K)

ln(K) ≈ -167.24

K ≈ e^(-167.24)

K ≈ 1.2 x 10^54

The standard free-energy change (∆G0) for the reaction is approximately -546.7 kJ/mol, indicating that the reaction is spontaneous. The equilibrium constant (K) at 298 K is approximately 1.2 x 10^54, suggesting that the reaction strongly favors the product side.

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Calculate the number of moles in the following samples.
(a) 2.2 g K2SO4
(b) 6.4 g C8H12N4
(c) 7.13 g Fe(C5H5)2

Answers

The number of moles in the given samples are:(a) 0.0126 mol(b) 0.0389 mol(c) 0.0383 mol.

The formula for the number of moles can be given by the following expression:n = m/M where m is the mass of the sample, and M is the molar mass of the substance. We need to calculate the number of moles of each of the following samples:(a) 2.2 g K2SO4The molar mass of K2SO4 is 174.26 g/mol.Number of moles of K2SO4 = 2.2 g / 174.26 g/mol= 0.0126 mol(b) 6.4 g C8H12N4The molar mass of C8H12N4 is 164.21 g/mol.Number of moles of C8H12N4 = 6.4 g / 164.21 g/mol= 0.0389 mol(c) 7.13 g Fe(C5H5)2The molar mass of Fe(C5H5)2 is 186.03 g/mol.Number of moles of Fe(C5H5)2 = 7.13 g / 186.03 g/mol= 0.0383 molTherefore, the number of moles in the given samples are:(a) 0.0126 mol(b) 0.0389 mol(c) 0.0383 mol.

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a sample of an unknown gas is placed in a vessel with a volume of 4,372 ml at a temperature of 32.3 °c. if the pressure is 5.7 atm, how many moles of gas are present?

Answers

There are 0.893 moles of gas present in the sample.

The ideal gas law is PV = nRT, which expresses the relationship between the pressure, volume, temperature, and amount of gas present. We can use this equation to find the number of moles of gas present in a sample. Here's how: PV = nRTn = PV / RT, where P is the pressure in atm, V is the volume in litres, T is the temperature in Kelvin, R is the universal gas constant (0.0821 L atm/mol K), and n is the number of moles of gas. Let's convert the volume to litres and the temperature to Kelvin. 4,372 ml = 4.372 L, and 32.3 °C + 273.15 = 305.45 K. Now we can plug in the values: n = (5.7 atm) (4.372 L) / (0.0821 L atm/mol K) (305.45 K)n = 0.893 mol.

Therefore, there are 0.893 moles of gas present in the sample.

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148.2 g of cupric sulfate are dissolved in enough water to make 2.00 x 103 ml of total solution. what is the molar concentration

Answers

The molar concentration is 0.463 M (mol/L) when 148.2 g of cupric sulfate is dissolved in enough water to make [tex]2.00 * 10^3 mL[/tex]  of total solution.

Mass of [tex]CuSO_4[/tex] = 148.2 g

Volume = [tex]2.00 * 10^3 mL[/tex]

The volume is given in the Milliliteters, we need to convert it into liters.

[tex]2.00 * 10^3 mL[/tex] = 2.00 L

Molar mass of [tex]CuSO_4[/tex]  = 63.55 g/mol

Number of moles of [tex]CuSO_4[/tex] = mass / molar mass

Number of moles of [tex]CuSO_4[/tex] = 148.2 g / 159.61 g/mol (63.55 g/mol + 32.07 g/mol + 4 * 16.00 g/mol)

Molar concentration = moles of solute ÷ volume of solution

Molar concentration = number of moles of  [tex]CuSO_4[/tex] ÷ volume of solution

Molar concentration = (148.2 g ÷ 159.61 g/mol) ÷ 2.00 L

Molar concentration = 0.9258 mol / 2.00 L

Molar concentration = 0.463 M (mol/L)

Therefore we can infer that the molar concentration is 0.463 M (mol/L)

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Which of the following nuclides has the largest nuclear binding energy per nucleon? O 44 Ca 20 206 Pb 82 {Li 58 28 5 Ni 138 56 Ba

Answers

The correct answer is 5 Ni 138 56.

Explanation :

The nucleotide which has the largest nuclear binding energy per nucleon is nickel-56 (56Ni). It is important to note that nuclear binding energy per nucleon refers to the energy released when a nucleus is formed by assembling its nucleons.

The nuclear binding energy is the amount of energy required to separate an atomic nucleus into its individual nucleons. It is the sum of the energy of the individual nucleons in the nucleus. It's important to remember that when atomic nuclei are formed, they release a certain amount of energy in the process.

The nuclear binding energy per nucleon depends on the total number of nucleons present. In general, the larger the number of nucleons in an atomic nucleus, the greater the amount of nuclear binding energy per nucleon.

Therefore, among the given nucleotides, nickel-56 (56Ni) has the largest nuclear binding energy per nucleon. The amount of energy released when nickel-56 (56Ni) is formed is greater than that released by any other nuclide. The high energy released by nickel-56 (56Ni) makes it important for the process of nuclear fusion in stars.

Thus, the answer to this question is nickel-56 (56Ni).

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Rx: 20 mmol of potassium chloride in 1000 mL of 0.9% sodium chloride injection over 12 hours. You have a stock vial of 4 mEg/mL of potassium chloride sterile solution.

How many milliliters of potassium chloride stock solution would you require to provide 20 mmol of potassium?

A. 5

B. 10

C. 4

D. 20

Answers

To provide 20 mmol of potassium in the given prescription, you would require C: 4 mL of the potassium chloride stock solution.

To determine the volume of the potassium chloride stock solution needed, you can use the formula:

Volume = (Dose / Concentration) * Conversion factor

In this case, the dose is 20 mmol, the concentration of the stock solution is 4 mEq/mL, and the conversion factor is 1 mmol = 1 mEq. By substituting these values into the formula, we get:

Volume = (20 mmol / 1) * (1 mL / 4 mEq) = 20 / 4 = 5 mL

Therefore, you would require 4 mL of the potassium chloride stock solution to provide 20 mmol of potassium.

Option C is the correct answer.

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a sample containing a radioactive isotope produces 2000 counts per minute in a geiger counter. after 120 hours, the sample produces 250 counts per minute. what is the half-life of the isotope?

Answers

The half-life of the isotope is 720 minutes.

To determine the half-life of the radioactive isotope, we can use the following formula:

N = N₀ [tex](\frac{1}{2})^{\frac {t}{t_{\frac{1}{2}}}}[/tex]

This is integrated rate law equation.

Where:

N = Final count rate (250 counts per minute)

N₀ = Initial count rate (2000 counts per minute)

t = Time elapsed (120 hours)

t₁/₂ = Half-life (unknown)

First, let's convert the time from hours to minutes:

t = 120 hours (60 minutes/hour) = 7200 minutes

Now we can substitute the values into the formula and solve for t₁/₂:

250 = 2000[tex](\frac{1}{2} )^{\frac {720}{t_{\frac{1}{2}}}}[/tex]

[tex]\frac{1}{8} = \frac{1}{2}^{(\frac {7200}{t_\frac{1}{2} })}[/tex]

To eliminate the exponent, we can take the logarithm of both sides:

[tex]log (\frac{1}{8}) = log (\frac{1}{2}) {(\frac {7200}{t_\frac{1}{2} })}[/tex]

Using the logarithm base 10:

[tex]-3 = (-0.301) {(\frac {7200}{t_\frac{1}{2} })}[/tex]

So, [tex]\frac{-3}{(-0.301)} = {(\frac {7200}{t_\frac{1}{2} })}[/tex]

t₁/₂ = 7200 / 10 = 720

Therefore, the half-life of the isotope is 720 minutes.

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Identify each of the following half-reactions as either an oxidation half-reaction or a reduction half-reaction.
half-reaction
identification
Br2(1)+2e- →→2Br (aq)
Zn(s) Zn2+(aq) + 2e

Answers

The half-reaction Br[tex]_2[/tex](l) + 2[tex]e^-[/tex] → 2[tex]Br^-[/tex](aq) is a reduction half-reaction, while the half-reaction Zn(s) → [tex]Zn^{2+}[/tex](aq) + 2[tex]e^-[/tex] is an oxidation half-reaction.

The given half-reactions are:

Br[tex]_2[/tex](l) + 2[tex]e^-[/tex] → 2[tex]Br^-[/tex](aq)

Zn(s) → [tex]Zn^{2+}[/tex](aq) + 2[tex]e^-[/tex]

The oxidation and reduction reactions are defined as follows:

Oxidation reaction: A half-reaction that includes the loss of electrons is referred to as an oxidation reaction. The oxidation number of the species involved in the reaction is increased in this process.

Reduction reaction: A half-reaction that involves gaining electrons is referred to as a reduction reaction. The oxidation number of the species involved in the reaction is decreased in this process.

Now let us identify which half-reaction is oxidation and which is reduction:

Br[tex]_2[/tex](l) + 2[tex]e^-[/tex] → 2[tex]Br^-[/tex](aq) (reduction reaction)

Zn(s) → [tex]Zn^{2+}[/tex](aq) + 2[tex]e^-[/tex](oxidation reaction)

Thus, the half-reaction Br[tex]_2[/tex](l) + 2[tex]e^-[/tex] → 2[tex]Br^-[/tex](aq) is an example of a reduction half-reaction, while the half-reaction Zn(s) → [tex]Zn^{2+}[/tex](aq) + 2[tex]e^-[/tex] is an example of an oxidation half-reaction.

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if the isentropic efficiency of the turbine is 80%, calculate the actual work output of the turbine, in kj/kg.

Answers

The required actual work output of the turbine is 1.2 Mj/kg.

If the isentropic efficiency of the turbine is 80%, calculate the actual work output of the turbine, in kj/kg.A steam turbine receives steam at a particular pressure and temperature and discharges it at a lower pressure and temperature. In general, the steam turbine's work output is less than the maximum possible work output, which is known as the isentropic turbine work output. The ratio of the actual turbine work output to the isentropic turbine work output is known as the isentropic turbine efficiency.ηt = Wtisentropic/WtactualWhere,ηt = isentropic turbine efficiencyWtisentropic = isentropic turbine work outputWtactual = actual turbine work outputGiven, isentropic efficiency of the turbine is 80%.ηt = 80% or ηt = 0.8We know thatWtactual = ηt x Wtisentropicor Wtisentropic = Wtactual/ ηtWe also know thath1 = 3.6 Mj/kgh2 = 2.1 Mj/kghence,Δh = h1 - h2 = 3.6 - 2.1 = 1.5 Mj/kgNow we have, Wtisentropic = Δh = 1.5 Mj/kgWtactual = ηt x Wtisentropic = 0.8 x 1.5= 1.2 Mj/kgTherefore, the actual work output of the turbine is 1.2 Mj/kg.

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Which of the following are redox reactions. For those that are, indicate which element is oxidized and which is reduced. For those that are not, indicate whether they are precipitation or neutralization reactions.
a.) P4 + 10 HClO + 6H2O = 4H3PO4 + 10HCl
b.) Br2 + 2K = 2KBr
c.) CH3CH2OH + 3O2 = 3H2O + 2CO2
d.) ZnCl2 + 2 NaOH = Zn(OH)2 + 2NaCl

Answers

Option A and B are the redox reaction, while C and D are not any redox reaction.

The following are redox reactions:Reaction (a)P4 + 10 HClO + 6H2O = 4H3PO4 + 10HClIn this reaction, the oxidation states of P changes from 0 to +5; hence, it is oxidized. Similarly, the oxidation state of Cl changes from +1 to -1; hence, it is reduced.Reaction (b)Br2 + 2K = 2KBrIn this reaction, the oxidation state of Br changes from 0 to -1; hence, it is reduced. Similarly, the oxidation state of K changes from 0 to +1; hence, it is oxidized. The following are not redox reactions:Reaction (c)CH3CH2OH + 3O2 = 3H2O + 2CO2This is a combustion reaction in which there is only the burning of organic compounds in the presence of oxygen, and no oxidation or reduction occurs. It is a type of exothermic reaction that releases energy in the form of light and heat.Reaction (d)ZnCl2 + 2 NaOH = Zn(OH)2 + 2NaClThis is a precipitation reaction, in which two solutions are mixed together to form a solid precipitate. No oxidation or reduction occurs in this reaction. It is a double displacement reaction.Hence, option A and B are the redox reaction, while C and D are not.

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HEC sold the machine at its regular price but included one year of free training and repair service.1. For the machine sold at its regular price, but with one year of "free" training and repair service, determine the dollar amount of revenue earned from the equipment sale versus the revenue earned from the training and repair service2. Prepare journal entries would HEC record on November 30 and December 1? (Assume HEC uses a perpetual inventory system for recording the cost of goods sold) (if no entry is required for a transaction/event, select "No Journal Entry Required in the first account field.) Which of the following is not one of the three basic structured programming constructs a) sequencing b) alternation c) iteration d) condensation e) all of these f) none of these An oil drop whose mass is 2.910^15 kg is held at rest between two large plates separated by 1.2 cm (Figure 1) when the potential difference between the plates is 360 V . Part A How many excess electrons does this drop have? Express your answer as an integer. The regions of a country with the six lowest rates of violent crime last year are shown below.1. Southern2. Northeast3. Southwest4. Northern5. Southeast6. EasternDetermine whether the data are qualitative or quantitative and identify the dataset's level of measurement. Solve for x in terms of k. logx + log8 (x + 2) = k. Find a if k =7. Question 4 Consider the following three bonds: Bond P Bond Q Bond R $1,000 $1,000 $1,000 5.00% 5.50% 0% Par Value Coupon Rate Time to Maturity Required Yield 3 years 5 years 6 years 4.00% 7.00% 5.20% Two firms have the same debt to equity ratio and the same market capitalization rate. One has a lower average cost of debt than the other. The firm with the lower average cost of debt will have a higher return on equity ratio, all other things being equal.Group of answer choicesTrueFalse An estate distributes an asset to its sole Income beneficiary. The distribution was not a specific bequest. The basis of the asset to the estate is $1,000, and the assel's fair market value is $5,000. Distributable net income of the estate is $9,500. No other distributions are made, nor was an election made by the fiduciary with respect to this distribution. 10. The basis of the asset to the beneficiary after the distribution is: a. $1,000. b. $4,000. c. $5,000. d. $9,500. Zainab, is the Customer Service Manager at WestComm Corporation. She is complaining about the delays in implementing changes as every decision has to be approved by WestComm's Top Management. Specify WestComm's type of distribution of power.