If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 3t + 4t2. (a) Find the velocity after 4s. (b) How long does it take for the velocity to reach 35 m/s?

Answers

Answer 1

For a ball which is push down an inclined plane, (a) velocity after 4s is 35 m/s and (b) it will take 4 seconds for the velocity to reach 35 m/s.

(a) To find the velocity after 4 seconds, we need to differentiate the given equation for distance s with respect to time t. This will give us the velocity function:

s(t) = 3t + 4t²

ds/dt = v(t) = 3 + 8t

Now, substitute t = 4 seconds into the velocity function:

v(4) = 3 + 8(4) = 3 + 32 = 35 m/s

So, the velocity after 4 seconds is 35 m/s.

(b) To find the time it takes for the velocity to reach 35 m/s, we need to solve the velocity equation for t when v(t) = 35 m/s:

35 = 3 + 8t

32 = 8t

t = 4 seconds

It takes 4 seconds for the velocity to reach 35 m/s.

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Related Questions

which of the following ions will contribute most to elevating the boiling point of water? a. na b. k c. ca2 d. fe3 e. all will contribute equally

Answers

Among these ions, Fe3+ (iron(III) ion) has the highest charge. In general, ions with higher charges tend to have a stronger effect on the boiling point elevation of a solvent. Therefore option D is correct.

The ion that will contribute most to elevating the boiling point of water is the ion with the highest charge and highest concentration.

The concentration of the ions also plays a role. If one of the ions has a significantly higher concentration than the others, it may contribute more to the boiling point elevation.

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Final answer:

Ca2+ ions will contribute the most to elevating the boiling point of water due to their stronger ion-dipole interactions.

Explanation:

The ions that will contribute most to elevating the boiling point of water are those that have the strongest ion-dipole interactions with water molecules. Na, K, and Ca2+ ions all have ionic bonds and can form ion-dipole interactions with water. However, Ca2+ has a higher charge than Na+ and K+, which means it has stronger attractions to the polar water molecules. Therefore, Ca2+ will contribute the most to elevating the boiling point of water.

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ethanol molecules are held together by covalent bonds, while water molecules are held together by hydrogen bonds
true or false

Answers

The given statement "Ethanol molecules are held together by covalent bonds, while water molecules are held together by hydrogen bonds" is True because Covalent bonds are formed when atoms share electrons to achieve a stable electron configuration.

In the case of ethanol, the carbon (C) atom shares electrons with the hydrogen (H) atoms and the oxygen (O) atom, forming covalent bonds within the molecule. These covalent bonds hold the atoms together in a stable structure.

On the other hand, hydrogen bonds are a specific type of intermolecular force that occurs between molecules. In water, the hydrogen atoms within each water molecule are bonded to the oxygen atom through covalent bonds. However, the positively charged hydrogen atom in one water molecule is attracted to the negatively charged oxygen atom in a neighboring water molecule.

This attraction forms a hydrogen bond between the two water molecules, creating a network of hydrogen bonds in liquid water. So, in summary, ethanol molecules are held together by covalent bonds within the molecule, while water molecules are held together by hydrogen bonds between the molecules.

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What mass of nickel (Il) iodide must be used to prepare 1200 mL of a 1.2 M solution?

Answers

Molarity = moles of solute/ litres of solution.

Thus, Molarity  =  1.2/ 1200 mL.

                        = 0.001 ml.

The inorganic compound nickel(II) iodide has the formula NiI2. The bluish-green solutions produced by this easily soluble paramagnetic black solid  crystallize to form the aquo complex [Ni(H2O)6]I2

Hydrated nickel(II) compounds typically have this bluish-green color. There are some uses for nickel iodides in homogeneous catalysis.

Each Ni(II) center in the anhydrous material exhibits octahedral coordination geometry as it crystallizes in the CdCl2 motif. Pentahydrate is dehydrated to produce NiI2.

Thus, Molarity = moles of solute/ litres of solution.

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What mass of carbon dioxide is present in 1.00 m^3 of dry air at a temperature of 11 degree C and a pressure of 719 torr ?
Express your answer with the appropriate units.
Calculate the mass percentage of oxygen in dry air.
Express your answer with the appropriate units.

Answers

The mass of carbon dioxide in 1.00 m³ of dry air at 11 °C and 719 torr is approximately 182.58 grams. The mass percent of oxygen in dry air is around 23.5%.

To calculate the mass of carbon dioxide, we need to consider the given temperature, pressure, and the ideal gas law.

By converting the pressure to pascals and applying the ideal gas law equation, we can determine the number of moles of CO2 in the given volume of dry air.

Multiplying the moles of CO2 by its molar mass yields the mass of carbon dioxide.

To find the mass percentage of oxygen in dry air, we need to consider the composition of air and determine the mass of oxygen relative to the total mass of dry air.

The molar mass of dry air is needed for this calculation. By multiplying the number of moles of oxygen by its molar mass, we can determine the mass of oxygen.

Dividing the mass of oxygen by the mass of dry air and multiplying by 100 gives us the mass percentage of oxygen in dry air.

Therefore, based on the given data, the mass of carbon dioxide in 1.00 m³ of dry air is approximately 182.58 grams, and the mass percentage of oxygen in dry air is approximately 23.5%.

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we need to eat food and breathe in oxygen in order to survive. we also breathe out carbon dioxide gas. explain how these statements relate to the chemical equation for cellular respiration.

Answers

The process of cellular respiration explains the relationship between the need to eat food and breathe in oxygen for survival. Food provides the necessary glucose molecules, while oxygen acts as the final electron acceptor, and carbon dioxide is a byproduct of the process.

The statements about the need to eat food and breathe in oxygen for survival are directly related to the chemical equation for cellular respiration. Cellular respiration is the process by which cells convert food molecules into usable energy in the form of ATP (adenosine triphosphate). The overall equation for cellular respiration is:

C6H12O6 + 6O2 → 6CO2 + 6H2O + Energy (ATP)

In this equation, glucose (C6H12O6) is the food molecule that provides the necessary energy for cellular respiration. When we eat food, our bodies break down the complex carbohydrates, proteins, and fats into glucose, which can then be utilized in cellular respiration.

The oxygen we breathe in is crucial because it acts as the final electron acceptor in the electron transport chain, which is part of the cellular respiration process. Oxygen combines with electrons and hydrogen ions to form water (H2O) as a byproduct.

Simultaneously, during cellular respiration, carbon dioxide (CO2) is produced as a waste product. This carbon dioxide is a byproduct of the breakdown of glucose and the release of stored energy.

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how many grams of NaOH are needed to neutralize
100.00mL kg 0.050M H20 (pls show work)

Answers

Approximately 0.200 grams of NaOH are needed to neutralize 100.00 mL of 0.050 M HCl.

Given information,

Molarity of HCl = 0.050M

Volume of HCl = 100mL

Number of moles = concentration (in moles/liter) × volume (in liters)

Number of moles of HCl = 0.050 M × 0.10000 L

The balanced equation is:

NaOH + HCl → NaCl + H2O

1 mole of NaOH reacts with 1 mole of HCl.

Since the mole ratio is 1:1, the moles of NaOH needed will be the same as the moles of HCl present.

The molar mass of NaOH is:

Na (22.99 g/mol) + O (16.00 g/mol) + H (1.01 g/mol) = 39.99 g/mol

Amount of NaOH = Number of moles × molar mass

Amount of NaOH  = (0.050 M × 0.10000 L) × 39.99 g/mol

Amount of NaOH  = (0.050 × 0.10000) × 39.99

Amount of NaOH = 0.050 × 0.10000 × 39.99

Amount of NaOH = 0.19995 grams

Therefore, approximately 0.200 grams of NaOH are needed to neutralize 100.00 mL of 0.050 M HCl.

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Your question is incomplete, most probably the full question is this:

How many grams of NaOH are needed to neutralize 100.00mL 0.050M HCl?

given the solubility, calculate the solubility product constant (ksp) of each salt at 25°c: Answer in Scientif notations. a) Ag2SO3, s = 4.6 x 10^-3 g/L b)Hg2I2, s= 1.5 x 10^-7 g/L c) Zn3(PO4)2, s= 5.9 x 10^-5 g/L

Answers

a. The solubility product constant (Ksp) Ag₂SO₃, s = 4.6 × 10⁻³ g/L at 25°C is 2.71 × 10⁻¹².

b. The solubility product constant (Ksp) Hg₂I₂, s = 1.5 × 10⁻⁷ g/L at 25°C is 2.3 × 10⁻²⁸.

c. The solubility product constant (Ksp) Zn₃(PO₄)₂, s= 5.9 × 10⁻⁵ g/L at 25°C is 2.19 × 10⁻³⁹.  

Solubility product constant (Ksp) is the product of the molar concentrations of the ions in a solution at equilibrium raised to the power of their stoichiometric coefficients. Solubility is defined as the maximum amount of solute that can dissolve in a specific solvent at a specific temperature.

For the given salts, the solubility data is given, and the task is to calculate their solubility product constants (Ksp) at 25°C.

a. Ag₂SO₃, s = 4.6 × 10⁻³ g/L

The balanced equation for the dissociation of Ag2SO3 in water is as follows:

Ag₂SO₃ ⇌ 2Ag⁺ (aq) + SO32- (aq)

At equilibrium, the concentration of Ag⁺ ions and SO₃²⁻ ions are 2s and s, respectively. Ksp for the reaction is given by

Ksp = [Ag⁺]²[SO₃²⁻]

Ksp = (2s)²(s)

Ksp = 4s³

Given, s = 4.6 × 10⁻³ g/L

Ksp = 4(4.6 × 10⁻³)³

Ksp = 2.71 × 10⁻¹²

b. Hg₂I₂, s = 1.5 × 10⁻⁷ g/L

The balanced equation for the dissociation of Hg₂I₂ in water is as follows:

Hg₂I₂(s) ⇌ 2Hg⁺ (aq) + 2I⁻ (aq)

At equilibrium, the concentration of Hg⁺ ions and I⁻ ions are 2s and 2s, respectively.  Ksp for the reaction is given by

Ksp = [Hg⁺]²[I⁻]²

Ksp = (2s)²(2s)²

Ksp = 16s⁴

Given, s = 1.5 × 10⁻⁷ g/L

Ksp = 16(1.5 × 10⁻⁷)⁴

Ksp = 2.3 × 10⁻²⁸

c. Zn₃(PO₄)₂, s= 5.9 × 10⁻⁵ g/L

The balanced equation for the dissociation of Zn₃(PO₄)₂ in water is as follows:

Zn₃(PO₄)₂(s) ⇌ 3Zn²⁺ (aq) + 2PO₄³⁻ (aq)

At equilibrium, the concentration of Zn²⁺ ions and PO₄³⁻ ions are 3s and 2s, respectively. Ksp for the reaction is given by

Ksp = [Zn²⁺]³[PO₄³⁻]²

Ksp = (3s)³(2s)²

Ksp = 108s⁵

Given, s = 5.9 × 10⁻⁵ g/L

Ksp = 108(5.9 × 10⁻⁵)⁵

Ksp = 2.19 × 10⁻³⁹

Hence, the solubility product constants (Ksp) of Ag₂SO₃, Hg₂I₂, and Zn₃(PO₄)₂ at 25°C are 2.71 × 10⁻¹², 2.3 × 10⁻²⁸, and 2.19 × 10⁻³⁹, respectively.

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Consider the following reaction:
2NO2(g) ⟶ N2O4(g)
Calculate ΔG at 298 K if the partial pressures of NO2 and N2O4 are 0.40 atm and 1.60 atm , respectively. Express the free energy in kilojoules to two decimal places.

Answers

The ΔG (change in Gibbs free energy) at 298 K can be calculated using the equation: ΔG = ΔG° + RT ln(Q) where ΔG° is the standard Gibbs free energy change, R is the gas constant, T is the temperature in Kelvin, and Q is the reaction quotient.

How can we calculate ΔG for a reaction at a given temperature using the partial pressures of reactants and products?

In this case, we need to calculate ΔG at 298 K using the given partial pressures of NO2 and N2O4. First, we need to determine the reaction quotient, Q, which is the ratio of the partial pressures of the products to the partial pressures of the reactants. In this reaction, Q = (P(N2O4))^2 / (P(NO2))^2. Then, we use the equation ΔG = ΔG° + RT ln(Q), where ΔG° is the standard Gibbs free energy change at the given temperature, R is the gas constant, T is the temperature, and ln(Q) is the natural logarithm of Q. Finally, we can substitute the values and calculate ΔG in kilojoules to two decimal places.

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Equal amounts of gases A and B are placed in a closed reactor. A and B react to combine into AB in the following equilibrium reaction:
A + B <=> AB Which are true about this system? Select two that apply. a. A closed system allows for the transfer of energy in and out, so energy is not conserved in this system. b. The total mass in the reactor remains the same because products are removed from closed systems. c. A closed system does not allow for the transfer of energy in and out, so energy is conserved in the system. d. The total mass in the reactor gradually becomes zero because products are removed from closed systems. e. The total mass in the reactor remains the same because mass is conserved in closed systems. f. The total mass in the reactor gradually becomes zero because mass is consumed in closed systems.

Answers

The two options that apply to this system are e. The total mass in the reactor remains the same because mass is conserved in closed systems and c. A closed system does not allow for the transfer of energy in and out, so energy is conserved in the system.

Option A is incorrect because a closed system does not allow for the transfer of matter, but it can allow for the transfer of energy. Option b is incorrect because the total mass in the system remains constant due to the law of conservation of mass, even if products are removed.

Option d is incorrect because the total mass in a closed system cannot become zero unless the matter is removed from the system. Option f is incorrect because mass is not consumed in a closed system, but it can be converted into other forms. Hence, e and c are the correct options.

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Consider a general reaction A(aq)⥫⥬===enzymeB(aq) The Δ°′ of the reaction is −8.970 kJ·mol−1 . Calculate the equilibrium constant for the reaction at 25 °C. K′eq= What is Δ for the reaction at body temperature (37.0 °C) if the concentration of A is 1.5 M and the concentration of B is 0.65 M ? Δ= kJ⋅mol−1

Answers

The equilibrium constant (K'eq) for the reaction A(aq)⥫⥬enzymeB(aq) at 25 °C is approximately 7.16 × 10².

Determine find the equilibrium constant?

The equilibrium constant (K'eq) is related to the standard Gibbs free energy change (Δ°') of the reaction through the equation:

Δ°' = -RT ln(K'eq)

where R is the gas constant (8.314 J·mol⁻¹·K⁻¹) and T is the temperature in Kelvin.

To calculate the equilibrium constant at 25 °C (298 K), we rearrange the equation:

K'eq = e^(-Δ°' / RT)

Substituting the values into the equation, we find:

K'eq = e^(-(-8.970 × 10³ J·mol⁻¹) / (8.314 J·mol⁻¹·K⁻¹ × 298 K)) ≈ 7.16 × 10²

To calculate the change in Gibbs free energy (Δ) for the reaction at body temperature (37.0 °C) with concentrations of A = 1.5 M and B = 0.65 M, we can use the equation:

Δ = Δ°' + RT ln(Q)

where Q is the reaction quotient, given by [B] / [A], with square brackets denoting concentrations.

Substituting the values into the equation, we have:

Δ = -8.970 × 10³ J·mol⁻¹ + (8.314 J·mol⁻¹·K⁻¹ × (37.0 + 273.15) K) ln(0.65 / 1.5) ≈ -8.45 × 10³ J·mol⁻¹

Therefore, at a temperature of 25 °C, the equilibrium constant (K'eq) for the reaction A(aq)⥫⥬enzymeB(aq) is estimated to be around 7.16 × 10². This equilibrium constant quantifies the ratio of the concentrations of products to reactants at equilibrium.

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How do you balance Mg + HNO₃ → Mg(NO₃)₂ + H₂

Answers

The balanced chemical equation for the reaction between magnesium (Mg) and nitric acid ([tex]HNO_3[/tex]) to form magnesium nitrate ([tex]Mg(NO_3)_2[/tex]) and hydrogen gas (H₂) is:

[tex]2Mg + 2HNO_3[/tex] → [tex]2Mg(NO_3)_2 + H_2[/tex].

The given chemical equation represents a single displacement reaction between magnesium and nitric acid. In order to balance the equation, it is important to ensure that the number of atoms on both sides of the equation is equal.

To balance the equation, we start by counting the number of atoms for each element involved. On the left-hand side, we have 2 magnesium (Mg) atoms and 2 nitrogen (N) atoms from the nitric acid, along with 6 oxygen (O) atoms from the nitrate ([tex]NO_3^-[/tex]) ion. On the right-hand side, we have 2 magnesium (Mg) atoms, 4 nitrogen (N) atoms from the magnesium nitrate, and 6 oxygen (O) atoms from the nitrate ([tex]NO_3^-[/tex]) ion.

To balance the number of magnesium atoms, we need to place a coefficient of 2 in front of Mg on the left-hand side. This gives us 2Mg. To balance the number of nitrogen atoms, we need to place a coefficient of 2 in front of [tex]HNO_3[/tex] on the left-hand side. This gives us [tex]2HNO_3[/tex].

The balanced equation then becomes: [tex]2Mg + 2HNO_3[/tex] → [tex]2Mg(NO_3)_2 + H_2[/tex]. This balanced equation ensures that both sides of the reaction have the same number of atoms for each element involved, satisfying the law of conservation of mass.

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What hazards are associated with handling of anhydrides?
1. corrosive
2. irrating to the eyes and skin
3. flammable
4. all above

Answers

Anhydrides are commonly used chemicals, but they can cause severe health issues. Anhydrides have various health and environmental risks associated with them. The correct option is 4.

The hazards of handling anhydrides include corrosive, irritating to the eyes and skin, and flammable. Anhydrides are chemical compounds that do not include water in their structure. Anhydrides are used as chemical reagents in various chemical reactions and processes, including the production of resins, dyes, plastics, and other materials. Anhydrides are extremely reactive, and if they come into touch with water or moisture, they can create acidic fumes that can cause serious health and environmental problems. People working with anhydrides must take the necessary safety measures to avoid contamination, inhalation of fumes, and accidental exposure to these substances. Anhydrides are corrosive, and they can cause severe skin and eye irritation. Direct skin contact with these chemicals can cause burns, rashes, and skin erosion. Inhalation of anhydrides fumes can cause respiratory irritation, coughing, and breathing difficulties. It is crucial to use proper ventilation, gloves, goggles, and other protective equipment when handling anhydrides to avoid any hazardous effects.

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What is ∆Gºf of HOCl(g) at 298 K?
H2O(g) + Cl2O(g) ⇌ 2HOCl(g)
Keq (298 K) = 0.089
(A) –6.0 kJ mol–1
(B) –3.0 kJ mol–1
(C) 3.0 kJ mol–1
(D) It cannot be determined from the information given.

Answers

The ∆Gºf (standard Gibbs free energy of formation) of HOCl(g) at 298 K can be determined using the equilibrium constant (Keq) and the relationship between ∆Gºf and Keq.

The equation provided represents the formation of HOCl(g) from its constituent gases H2O(g) and Cl2O(g).

The equation can be written as:

2HOCl(g) ⇌ H2O(g) + Cl2O(g)

The equilibrium constant (Keq) is given as 0.089 at 298 K. The relationship between Keq and ∆Gºf is given by the equation:

∆Gº = -RT ln(Keq)

Where R is the gas constant (8.314 J/mol·K) and T is the temperature in Kelvin.

To calculate ∆Gºf, we substitute the values into the equation:

∆Gºf = -RT ln(Keq)

∆Gºf = -(8.314 J/mol·K)(298 K) ln(0.089)

∆Gºf = -6.0 kJ/mol

Therefore, the correct answer is (A) –6.0 kJ mol–1, indicating that the ∆Gºf of HOCl(g) at 298 K is -6.0 kJ/mol.

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what is the mass of 5.5 moles of silicon

Answers

The mass of 5.5 moles of silicon  is  154.47025 grams.

The mass of 5.5 moles of silicon can be calculated using the concept of molar mass. The molar mass represents the mass of one mole of a substance and is expressed in grams per mole (g/mol). In the case of silicon (Si), its molar mass is approximately 28.0855 g/mol.

To calculate the mass, we multiply the number of moles by the molar mass:

Mass = Number of moles x Molar mass

In this case, we have 5.5 moles of silicon:

Mass = 5.5 moles x 28.0855 g/mol

Mass = 154.47025 grams

Therefore, the mass of 5.5 moles of silicon is approximately 154.47025 grams.

This means that if we were to take 5.5 moles of silicon and convert it into a solid substance, it would weigh approximately 154.47025 grams.

The molar mass is a crucial concept in chemistry as it allows us to convert between the number of moles and the mass of a substance. It is derived from the atomic masses of the elements present in the compound. By knowing the molar mass, we can determine the mass of a given number of moles of a substance, which is essential for various calculations in chemical reactions and stoichiometry.

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Al+3 and Zn+2 ions are amphoteric. Describe how the amphoteric nature of these ions is shown in qualtive anaylsis.

Answers

The amphoteric nature of Al³⁺ and Zn²⁺ ions is demonstrated by their ability to react with both acidic and basic solutions.

The amphoteric nature of ions refers to their ability to exhibit both acidic and basic characteristics, depending on the conditions of the solution they are in. In qualitative analysis, the amphoteric behavior of Al³⁺ and Zn²⁺ ions can be observed through their reactions with acidic and basic reagents.

Al³⁺ ion:

- Reaction with an acid: When Al³⁺ ions react with an acid, such as hydrochloric acid (HCl), they act as a Lewis acid and form complex ions. For example, with HCl, Al³⁺ reacts to form [AlCl₄]⁻ complex ions.

Al³⁺ + 3HCl → [AlCl₄]⁻ + 3H⁺

Reaction with a base: Al³⁺ ions can also react with bases, such as sodium hydroxide (NaOH), where they behave as a Lewis acid and accept hydroxide ions to form a precipitate of aluminum hydroxide.

Al³⁺ + 3OH⁻ → Al(OH)₃

Zn²⁺ ion:

Reaction with an acid: Zn²⁺ ions can react with acids and behave as a Lewis acid, forming complex ions. For instance, with hydrochloric acid, Zn²⁺ reacts to form [ZnCl₄]²⁻ complex ions.

Zn²⁺ + 4HCl → [ZnCl₄]²⁻ + 2H⁺

Reaction with a base: When Zn²⁺ ions react with a base, they act as a Lewis acid and accept hydroxide ions to form a precipitate of zinc hydroxide.

Zn²⁺ + 2OH⁻ → Zn(OH)₂

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Which of the following reagents are used to carry out chlorination of benzene? A. Cl2/CCl4. B. Cl2/FeCl3. C. Cl2/AlCl3. D. NaCl/Fe E. both B & C.

Answers

The cοrrect answer is E. Bοth οptiοns B (Cl2/FeCl3) and C (Cl2/AlCl3) are cοmmοnly used reagents fοr the chlοrinatiοn οf benzene.

What is benzene?

Benzene is a cοlοrless οr light-yellοw liquid chemical at rοοm temperature. It is used primarily as a sοlvent in the chemical and pharmaceutical industries, as a starting material and an intermediate in the synthesis οf numerοus chemicals, and in gasοline.

Benzene is prοduced by bοth natural and man-made prοcesses. It is a natural cοmpοnent οf crude οil, which is the main sοurce οf benzene prοduced tοday. Other natural sοurces include gas emissiοns frοm vοlcanοes and fοrest fires.

Bοth οptiοns B (Cl₂/FeCl₃) and C (Cl₂/AlCl₃) are cοmmοnly used reagents fοr the chlοrinatiοn οf benzene.

These reagents are knοwn as Lewis acid catalysts and facilitate the substitutiοn οf hydrοgen atοms οn the benzene ring with chlοrine atοms. The FeCl₃ (irοn(III) chlοride) and AlCl₃ (aluminum chlοride) act as catalysts tο prοmοte the reactiοn.

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calculate [oh-] in each aqueous solution at 25 c, and classify the solution as acidic or basic.
a. [H3O+] = 9.8 x 10^-9 M
b. [H3O+] = 2.4 x 10^-6 M
c. [H3O+] = 1.4 x 10^-9 M

Answers

a. The [OH⁻] in aqueous solution [H₃O⁺] = 9.8 x 10⁻⁹ M at 25° C is 1.02 × 10⁻⁶ M. It is a basic solution.

b. The [OH⁻] in aqueous solution [H₃O⁺] = 2.4 x 10⁻⁶ M at 25° C is 4.17 × 10⁻⁹ M. It is an acidic solution.

c. The [OH⁻] in aqueous solution [H₃O⁺] = 1.4 x 10⁻⁹ M at 25° C is 7.14 × 10⁻⁶ M. It is a basic solution.

To calculate [OH⁻] in each aqueous solution at 25° C and classify the solution as acidic or basic, we need to use the relationship between [H₃O⁺] and [OH⁻]. The expression for the ionization of water:

H₂O(l) → H⁺(aq) + OH⁻(aq)

Kw = [H⁺(aq)][OH⁻(aq)]

where Kw is the ion-product constant for water, which is 1.0 × 10⁻¹⁴ at 25 °C and 1 atm.

In neutral solutions, [H⁺] = [OH⁻] = 1.0 × 10⁻⁷ M. So, pH = −log[H⁺] = −log[OH⁻].

a. We can calculate the [OH⁻] for the given [H₃O⁺] using the following relationship:

[H₃O⁺][OH⁻] = Kw[OH⁻]

= Kw/[H₃O⁺]a) [H₃O⁺]

= 9.8 × 10⁻⁹ M[OH⁻]

= Kw/[H₃O⁺]

= 1.0 × 10⁻¹⁴ /9.8 × 10⁻⁹

= 1.02 × 10⁻⁶ M

As [OH-] is greater than 1.0 × 10⁻⁷ M, it is a basic solution.

b. [H₃O⁺] = 2.4 × 10⁻⁶ M

[OH-] = Kw/[H₃O⁺]

= 1.0 × 10⁻¹⁴ /2.4 × 10⁻⁶

= 4.17 × 10⁻⁹ M

As [OH-] is less than 1.0 × 10⁻⁷ M, it is an acidic solution.

c. [H₃O⁻] = 1.4 × 10⁻⁹ M

[OH⁻] = Kw/[H₃O⁺]

= 1.0 × 10⁻¹⁴ /1.4 × 10⁻⁹

= 7.14 × 10⁻⁶ M

As [OH⁻] is greater than 1.0 × 10⁻⁷ M, it is a basic solution.

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Calculate the amount (in grams) of salicylamide and sodium iodide needed for this experiment.
Given:
7.5mmol of Salicylamide MW=137.14 g/mol
8mmol of Sodium iodide MW=149.894

Answers

Total, 1.02855 grams of salicylamide is needed for the experiment, and 1.199152 grams of sodium iodide is needed for the experiment.

To calculate the amount of salicylamide and sodium iodide needed in grams, we can use the following formulas:

Amount (in grams) = moles × molecular weight

Given;

7.5 mmol of Salicylamide (MW=137.14 g/mol)

8 mmol of Sodium iodide (MW = 149.894 g/mol)

Calculating the amount of salicylamide;

Amount of salicylamide = 7.5 mmol × 137.14 g/mol

≈ 1028.55 mg

≈ 1.02855 g

Therefore, approximately 1.02855 grams of salicylamide is needed for the experiment.

Calculating the amount of sodium iodide;

Amount of sodium iodide = 8 mmol × 149.894 g/mol

≈ 1199.152 mg

≈ 1.199152 g

Therefore, approximately 1.199152 grams of sodium iodide is needed for the experiment.

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acrylic acid, whose formula is or , is used in the manufacture of plastics. a 0.58 m aqueous solution of acrylic acid has a ph of 2.25. what is for acrylic acid?

Answers

Acrylic acid, with the formula C₃H₄O₂, has a pKa value of 4.25 signifies that it is a weak acid.

What is the pKa value for acrylic acid?

Acrylic acid is a vital component in the production of various plastics and polymers. The pH of a 0.58 M aqueous solution of acrylic acid is given as 2.25.

The pH value indicates the acidity or alkalinity of a solution, with lower values representing higher acidity. The pKa value, on the other hand, is a measure of the acid's strength and is related to its ability to donate protons.

The pKa value for acrylic acid, 4.25, signifies that it is a weak acid. This means that in an aqueous solution, acrylic acid partially dissociates, releasing hydrogen ions (H⁺). The lower pH of 2.25 suggests that there is a higher concentration of hydrogen ions in the solution, indicating a higher degree of dissociation.

The pKa value is an essential property for acids as it helps determine their behavior in different chemical reactions. Acrylic acid's relatively low pKa value makes it suitable for various applications, including the manufacture of plastics, coatings, adhesives, and textiles.

It enables acrylic acid to react with other compounds, undergo polymerization, and form stable structures with desirable properties.

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All of these statements about electron and compound microscopes are true EXCEPT
Select one:
a. An electron microscope cannot be used to look at living cells.
b. An electron microscope is more appropriate for analyzing living prokaryotic cells. c. An electron microscope uses beams of electrons to visualize an image.
d. An electron microscope has a higher magnification.

Answers

All of the statements about electron and compound microscopes are true except option (b), which states that an electron microscope is more appropriate for analyzing living prokaryotic cells.

Option (b) states that an electron microscope is more appropriate for analyzing living prokaryotic cells. However, this statement is not true. Electron microscopes are not typically used for observing living cells, whether prokaryotic or eukaryotic.

Live cells are more commonly observed using a compound microscope, which allows for real-time imaging and the study of cellular processes in living specimens.

The other statements are true. Option (a) correctly states that an electron microscope cannot be used to look at living cells due to the sample preparation requirements. Option (c) is true as electron microscopes use beams of electrons, rather than light, to visualize an image.

Option (d) is also true as electron microscopes generally have a higher magnification capability compared to compound microscopes, allowing for the observation of smaller details at a higher resolution.

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All of the statements about electron and compound microscopes are true except option (b), which states that an electron microscope is more appropriate for analyzing living prokaryotic cells.

Option (b) states that an electron microscope is more appropriate for analyzing living prokaryotic cells. However, this statement is not true. Electron microscopes are not typically used for observing living cells, whether prokaryotic or eukaryotic.

Live cells are more commonly observed using a compound microscope, which allows for real-time imaging and the study of cellular processes in living specimens.

The other statements are true. Option (a) correctly states that an electron microscope cannot be used to look at living cells due to the sample preparation requirements. Option (c) is true as electron microscopes use beams of electrons, rather than light, to visualize an image.

Option (d) is also true as electron microscopes generally have a higher magnification capability compared to compound microscopes, allowing for the observation of smaller details at a higher resolution.

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Please help 20 points

Answers

Answer: B NaNO3

Explanation:

Identify each substance as an acid or a base and write a chemical equation showing how it is an acid or a base according to the Arrhenius definition. You may need to use H2O as a reactant or product to balance the reaction.
a. HNO3 (aq)
b. NH4+1(aq)
c. KOH (aq)
d. HC2H3O2 (aq)

Answers

a. HNO₃ is an acid according to the Arrhenius definition. Its chemical equation showing how it is an acid is:

HNO₃ (aq) + H₂O (l) → H₃O⁺ (aq) + NO₃⁻ (aq)

b. NH₄+1 is an acid according to the Arrhenius definition. Its chemical equation showing how it is an acid is:

NH₄+1 (aq) + H₂O (l) → H₃O⁺ (aq) + NH₃ (aq)

c. KOH is a base according to the Arrhenius definition. Its chemical equation showing how it is a base is:

KOH (aq) + H₂O (l) → K⁺ (aq) + OH⁻ (aq)

d. HC₂H₃O₂ is an acid according to the Arrhenius definition. Its chemical equation showing how it is an acid is:

HC₂H₃O₂ (aq) + H₂O (l) → H₃O⁺ (aq) + C₂H₃O₂⁻ (aq)

How did Arrhenius define an acid and a base?

According to Arrhenius, acids are hydrogen-containing compounds that ionize to yield hydrogen ions (H⁺) in aqueous solution. Bases are compounds that ionize to yield hydroxide ions (OH⁻) in aqueous solution.

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Which of the following features arise when depicting and populating an orbital energy diagram for a many-electron atom? Select all that apply.
-There is a limit is on the number of electrons in an orbital.
-A spin quantum number is assigned to each electron.
-Principal energy levels are split into sublevels.

Answers

The correct features that arise when depicting and populating an orbital energy diagram for a many-electron atom are:

- A spin quantum number is assigned to each electron.

- Principal energy levels are split into sublevels.

1. The limit on the number of electrons in an orbital is a concept related to the Pauli exclusion principle, which states that each orbital can accommodate a maximum of two electrons with opposite spins. However, it is not directly associated with orbital energy diagrams.

2. The spin quantum number is assigned to each electron to describe its spin orientation. The possible values for the spin quantum number are +1/2 (representing "spin-up") and -1/2 (representing "spin-down").

3. Principal energy levels are split into sublevels based on their different orbital shapes and orientations. These sublevels are represented by letters such as s, p, d, and f, which correspond to different angular momentum quantum numbers.

In summary, when depicting and populating an orbital energy diagram for a many-electron atom, the features that arise include assigning a spin quantum number to each electron and splitting the principal energy levels into sublevels.

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The formation constant for the reaction:
Ni2+(aq) + 6NH3(aq) Ni(NH3)62+(aq)
is Kf = 5.6x108 at 25 °C. Determine ??G when [Ni(NH3)62+] = 0.010M, [Ni2+] = 0.0010M, and [NH3] = 0.0050M. In which direction will the reaction proceed to achieve equilibrium?

Answers

To determine the Gibbs free energy change (∆G) for the reaction, we can use the equation:

∆G = -RT ln(K)

Where:

- R is the gas constant (8.314 J/mol·K)

- T is the temperature in Kelvin

- K is the equilibrium constant (formation constant in this case)

First, we need to convert the temperature to Kelvin. Assuming 25 °C, we have:

T = 25 + 273.15 = 298.15 K

Next, we substitute the values into the equation:

∆G = - (8.314 J/mol·K) * 298.15 K * ln(5.6x10^8)

Calculating the natural logarithm:

∆G = - (8.314 J/mol·K) * 298.15 K * 19.934

∆G = - 49390 J/mol

Since ∆G is negative, the reaction is spontaneous in the forward direction. In other words, the reaction will proceed from left to right to achieve equilibrium.

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for 1.0l of an acetic acid solution ka = 1.8 x 10 -5 and [ha] = 0.250m

Answers

1. The acetic acid solution has a concentration of 0.250 M and a dissociation constant of 1.8 x [tex]10^{(-5)}[/tex].

2. The pH of the solution is approximately 4.74.

3. The pKa is 4.74, and the pH of the buffer solution with 0.35 M acetate ion concentration is approximately 4.886.

4. The concentration of [HA] remains the same when the volume is unchanged.

5. The new concentration of [HA] is approximately 0.004 M after adding 2.0 mL of 5.00 M HCl to 1.000 L of the solution.

6. The new pH after adding HCl is approximately 6.682.

1. The given acetic acid solution has a concentration of [HA] = 0.250 M and a dissociation constant of K = 1.8 x [tex]10^{(-5)}[/tex].

2. To calculate the pH of the solution, we need to find the concentration of H+ ions. Since acetic acid (HA) is a weak acid, we can assume that the majority of the acid remains undissociated. Therefore, [H+] ≈ [HA].

Using the equation for the dissociation of acetic acid:

HA ⇌ H+ + A-

We can set up an expression for the dissociation constant:

K = [H+][A-] / [HA]

Since [HA] ≈ [H+], we can rewrite the expression as:

K ≈ [H+][A-] / [H+]

Simplifying:

K ≈ [A-]

Plugging in the values:

1.8 x [tex]10^{(-5)}[/tex] ≈ [A-]

The concentration of acetate ion ([A-]) is approximately 1.8 x [tex]10^{(-5)}[/tex] M.

3. The pKa is the negative logarithm of the acid dissociation constant (pKa = -log(Ka)). Since the given value is the dissociation constant (K = 1.8 x [tex]10^{(-5)}[/tex]), we can calculate the pKa as follows:

pKa = -log(1.8 x [tex]10^{(-5)}[/tex]) ≈ 4.74

To calculate the pH of the buffer solution, we can use the Henderson-Hasselbalch equation:

pH = pKa + log([A-] / [HA])

Plugging in the values:

pH = 4.74 + log(0.35 / 0.250) ≈ 4.74 + log(1.4) ≈ 4.74 + 0.146 ≈ 4.886

The pH of the solution after adding enough solid sodium acetate to make the concentration of acetate ion equal to 0.35 M is approximately 4.886.

4. Since the volume of the solution does not change, the initial concentration of [HA] remains the same.

5. To calculate the new concentration of [HA] after adding 2.0 mL of 5.00 M HCl to 1.000 L of the solution, we need to consider the stoichiometry of the reaction between HCl and acetic acid:

HCl + HA → H+ + A-

Using the balanced equation, we can determine the moles of acetic acid (HA) neutralized by the moles of HCl added. Since the volume of the solution does not change, the molar concentration can be adjusted accordingly.

Given:

Volume of HCl added (V1) = 2.0 mL = 0.002 L

Concentration of HCl (C1) = 5.00 M

Initial concentration of HA (C2) = 0.250 M

Final concentration of HA (C3) = ?

Using the formula:

C1V1 = C2V2 + C3V3

Plugging in the values:

(5.00 M)(0.002 L) = (0.250 M)(1.000 L) + C3(0.002 L)

Solving for C3:

C3 ≈ 0.004 M

The new concentration of [HA] is approximately 0.004 M.

6. To calculate the new pH after the addition of HCl, we need to consider the new concentration of [HA] and apply the same approach as in question 2.

Using the Henderson-Hasselbalch equation:

pH = pKa + log([A-] / [HA])

Plugging in the values:

pH = 4.74 + log(0.35 / 0.004) ≈ 4.74 + log(87.5) ≈ 4.74 + 1.942 ≈ 6.682

The new pH of the solution after adding HCl is approximately 6.682.

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The question is -

For 1,0L of an acetic acid solution: K. = 1.8 x 10-5 and [HA] = 0.250M?

2. Calculate the pH of the solution.

3. What is the pKa? Calculate the pH of the solution if you make it a buffer by adding enough solid sodium acetate to make the concentration of acetate ion equal to 0.35M.

4. The volume of the solution does not change.

5. What is the new concentration of [HA] if 2.0mL of 5.00M of HCl is added to 1.000L of the solution above?

6. What is the new pH?

lithium hydrogen sulfite express your answer as a chemical formula.

Answers

The chemical formula for lithium hydrogen sulfite is [tex]LiHSO_3.[/tex]

Lithium hydrogen sulfite is an inorganic compound composed of lithium (Li+) cation and the hydrogen sulfite (HSO3-) anion. The hydrogen sulfite anion consists of a sulfur atom bonded to three oxygen atoms, one of which also has a hydrogen atom bonded to it. The compound is formed through the reaction between lithium hydroxide (LiOH) and sulfur dioxide (SO2), resulting in the formation of lithium hydrogen sulfite as a solid precipitate. It is commonly used as a reagent in organic synthesis and as an intermediate in the preparation of other lithium salts.

Lithium hydrogen sulfite is a white crystalline solid that is soluble in water. It can undergo chemical reactions such as hydrolysis or decomposition when exposed to certain conditions. The compound is known for its acidic properties due to the presence of the hydrogen sulfite anion, which can release hydrogen ions (H+) in aqueous solutions. Overall, the chemical formula [tex]LiHSO_3.[/tex]represents the composition and structure of lithium hydrogen sulfite, indicating the presence of lithium, hydrogen, sulfur, and oxygen atoms in the compound.

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Final answer:

The chemical formula for lithium hydrogen sulfite is LiHSO3. It is formed from the reaction of lithium, which carries a +1 charge, and the hydrogen sulfite ion, which carries a -1 charge, making the resulting compound electrically neutral.

Explanation:

The chemical formula for lithium hydrogen sulfite is LiHSO3.

Lithium is a part of the alkali metal family and it carries a +1 charge due to its one extra electron in the outermost shell, which we can represent as [He]2s¹. Hydrogen sulfite, on the other hand, is a polyatomic ion where sulfur is attached to three oxygen atoms and one hydrogen atom carrying a total charge of -1. When these two components combine, they form lithium hydrogen sulfite.

The balance of charges in this compound is key. In chemistry, compounds must be electrically neutral, meaning the total positive charge must equal the total negative charge. The +1 charge from lithium and the -1 charge from the hydrogen sulfite ion balance each other out, leading to a neutral compound.

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which one of the choices is the strongest acid? A. 2,3-dimethylheptanoic acid B. 3,3-dichlorohexanoic acid C. 4-bromo-3-iodohexanoic acid D. 4-bromo-3-chloroheptanoic acid E. 4-bromo-2-fluorohexanoic acid

Answers

The strongest acid is 3,3-dichlorohexanoic acid (Option B).

To determine which one of the choices is the strongest acid, we need to consider the inductive effect of the substituents on the carboxylic acid group. The stronger the electron-withdrawing group, the more acidic the compound will be.

Among the halogens, the electron-withdrawing ability increases in the order: F > Cl > Br > I. Methyl groups are not electron-withdrawing, so option A can be eliminated. Comparing options B, C, D, and E, we see that option B has two chlorine atoms, which are stronger electron-withdrawing groups than the combination of a bromine and chlorine atom in option D or a bromine and fluorine atom in option E.

Therefore, the strongest acid among the given choices is 3,3-dichlorohexanoic acid (B).

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Calculate the standard cell potential, E∘cell,Ecell∘, for the equation
Co(s)+F2(g)⟶Co2+(aq)+2F−(aq)Co(s)+F2(g)⟶Co2+(aq)+2F−(aq)
Use the table of standard reduction potentials.

Answers

The standard cell potential, E∘cell, for the given equation is +2.87 V.

What is the standard cell potential for the Co(s) + F2(g) → Co2+(aq) + 2F^-(aq) equation?

To calculate the standard cell potential, we need to look up the standard reduction potentials of the half-reactions involved and apply the Nernst equation. The reduction half-reaction for Co2+ is Co2+(aq) + 2e^− → Co(s) with a standard reduction potential of -0.28 V. The oxidation half-reaction for F2 is F2(g) → 2F^-(aq) with a standard reduction potential of +2.87 V.

The standard cell potential, E∘cell, is obtained by subtracting the reduction potential of the anode (oxidation half-reaction) from the reduction potential of the cathode (reduction half-reaction). In this case, E∘cell = E∘cathode - E∘anode = 2.87 V - (-0.28 V) = +3.15 V.

However, since the given equation is written as a reduction half-reaction for Co2+ and an oxidation half-reaction for F2, we need to change the sign of the standard cell potential to match the given equation. Therefore, the final standard cell potential, E∘cell, is +2.87 V.

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Considering the structure of citrate, how many carbonyl groups are there?
A. 3
B. 1
C. 2
D. 4

Answers

In the structure of citrate there are 3 carbonyl groups. the correct answer is A. 3.

Citrate is a tricarboxylic acid with the chemical formula [tex]C_6H_8O_7[/tex] . To determine the number of carbonyl groups in citrate, we need to identify the functional groups present in the molecule. A carbonyl group consists of a carbon atom bonded to an oxygen atom by a double bond. In citrate, there are three carboxylic acid functional groups (COOH), where each group contains a carbonyl group. These carboxylic acid groups are located at different positions on the citrate molecule. Each carboxylic acid group consists of a carbonyl group (C=O) and a hydroxyl group (OH). In citrate, there are three such carboxylic acid groups, each contributing one carbonyl group. Therefore, the correct answer is A. 3. It's important to note that carboxylic acid groups are different from carbonyl groups alone. While carboxylic acids contain carbonyl groups, they also have additional functional groups, such as the hydroxyl group, which plays a significant role in the properties and reactivity of carboxylic acids. In the case of citrate, the three carbonyl groups are part of the carboxylic acid functional groups present in the molecule.

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calculate δssurr at the indicated temperature for a reaction experiencing each change in enthalpy:

Answers

The relationship between ΔSsurr and ΔH is given by the equation:ΔSsurr = - ΔH / T, where: ΔSsurr is the entropy change of the surroundings.ΔH is the enthalpy change of the system. T is the temperature in Kelvin (K). The change in entropy of the surroundings is negative when the system loses energy and positive when the system gains energy.

Thus, the value of ΔSsurr is determined by the sign of ΔH and the temperature T. It is important to note that ΔH is always expressed in the same units as ΔSsurr, which is joules per kelvin (J/K).

Therefore, the formula for calculating ΔSsurr is:ΔSsurr = - ΔH / T, where:ΔH is the enthalpy change of the system. T is the temperature in Kelvin (K).

The value of ΔSsurr will be negative when the enthalpy change ΔH is positive (exothermic process), while it will be positive when ΔH is negative (endothermic process).

The enthalpy change ΔH can be obtained from the following equation:ΔH = Hproducts - Hreactants, where: Hproducts is the enthalpy of the products and Hreactants is the enthalpy of the reactants.

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