help me please people​

The answer is "Years". The radioactive decay of Sm-151 (an isotope of samarium) can be modeled by the differential equation dy/dt = -0.0077y, where t is measured in years.

The differential equation dy/dt = -0.0077y models the radioactive decay of Sm-151. This equation shows that the rate of decay is proportional to the amount of Sm-151 present at a given time or points in time. A negative sign indicates that the amount of Sm-151 is decreasing over time.

This equation also shows that the decay rate is 0.0077, which means that when the initial amount of Sm-151 is 100 g, the amount of Sm-151 drops to 99.23 g after one year. This process continues over time and the amount of Sm-151 decreases until it is completely broken down.

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The major organic product of the reaction conditions shown is the following:

The structure shows the major organic product with all lone pairs of electrons included. No inorganic byproducts are present.

The organic product shown is an alkene, specifically a 1,3-butadiene, which is a molecule made up of two carbon atoms double-bonded together and four hydrogen atoms attached to the carbons. This type of molecule is an important building block for organic synthesis, as it can be used to create polymers, polystyrene, and other materials.

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The bonds between atoms are one place where potential energy is stored of potential energy found in a container full of a chemical substance in liquid form.

A chemical substance is a shape of matter having a steady chemical composition and feature residences. a few references add that chemical substances can't be separated into their constituent elements by way of bodily separation methods, i.e., without breaking chemical bonds.

A chemical substance is a form of count number having a constant chemical composition and characteristic properties. some references upload that chemical substances can not be separated into their constituent factors via physical separation strategies, i.e., without breaking chemical bonds. Chemical materials are factors, compounds, or mixtures: elements are just the one's materials that don't have any others as components. factors in this sense are the constructing blocks of chemical composition.

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The water circuit in shell and coil and coil-type tube-in-a-tube condensers must be cleaned chemically.

Brass, titanium, stainless steel, ferritic stainless steel, copper-nickel alloys, and these metals are used as tube materials most frequently in condensers.

By adjusting the flow of refrigerant via the condenser, a water regulating valve aids in maintaining the system's head pressure.

Condensers with coils and shells. A coil of finned water tubing is housed inside a welded shell in a shell-and-coil condenser. The hot refrigerant circulates in the shell of this type of water-cooled condenser while the cooling water cools the coils and condenses the refrigerant. In general, it is inexpensive and most portable.

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Removing the first H+ from H2SeO3(aq) requires less energy that the Removing the second H+, because the second H+ is removed from the Negatively charged species.

Find attached file of explanation of step-wise dissociation of selenous Acid, H2SeO3 (aq).

Reason: H2SeO3 is neutral molecule. Due to high electronegativity of O In O-H bond, it dissociates to release a proton.

But HSeO3-, is a negatively charged species and so, it is difficult to Abstract a proton from this ion. So, the value of Ka2 is so much smaller than the value of Ka1Ka2 is smaller.

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-- The given question is incomplete, did not get the complete question anywhere, so answer the question in general way. --

The pH of the solution is 4.58.

pH which denotes "potential of hydrogen", is described as a scale used to specify the acidity or basicity of an aqueous solution.

In order to find the pH of the solution, we need to use the weak base-strong acid equation:

Kb = Kw / Ka = [CH3COO-][H+] / [CH3COOH]\

Ka = [H+][CH3COOH] / [CH3COO-]

[H+] = sqrt(Ka * [CH3COOH]) = √t(1.75x10^-5 * 0.15) = 1.36x10^-5 M

We then  find the concentration of acetate ions from the sodium acetate.

We have 2.05 g of sodium acetate, which is equivalent to 2.05 / (82.03 + (12 + 16 + 1) * 2) = 0.0163 moles.

[CH3COO-] = 0.0163 M

Kb = Kw / Ka = 1.36x10^-5 / 0.0163 = 8.36x10^-10

In conclusion,

pH = pKb + log([CH3COO-] / ([CH3COOH] + [CH3COO-]) = 4.58

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Answer:

Explanation:

The amount of barium chloride used is 8.1 μmol and it was dissolved in a 50 mL flask. To find the concentration, we need to divide the amount of solute by the volume of solution:

Concentration = amount of solute / volume of solution

The volume of solution in liters is:

50 mL = 50 × 10^(-3) L = 0.050 L

So the concentration of the barium chloride solution in μmol/L is:

Concentration = 8.1 μmol / 0.050 L

Concentration = 162 μmol/L

Therefore, the concentration of the chemist's barium chloride solution is 162 μmol/L.

Answer: A

Explanation:

The answer is A.

There are 4 carbon atoms in the carbon chain. There is a triple bond between the first 2 carbons.

The fact that there are 4 carbon atoms and a triple bond makes this butyne.

Convert the number of atoms to moles. The Avogadro's constant, N, is 6.022 x 10^23 atoms/mole.

So, the number of moles is given by:

(2.64 x 10^24 atoms) / (6.022 x 10^23 atoms/mole) = (2.64 x 10^24 atoms) / 6.022 x 10^23 moles/atom

= 4.4 moles

Therefore, there are 4.4 moles in 2.64 x 10^24 atoms of He.

The smallest piece of stuff that still possesses an element's characteristics is an atom. Protons, neutrons, and electrons are the three different sorts of particles that make them up. The nucleus, or core, of an atom, is made up of protons and neutrons, with electrons revolving around it. What element the atom depends on how many protons are in the nucleus. All matter in the cosmos is made up of molecules, which are created when atoms join together to form bonds. Atoms can also disintegrate into smaller forms of matter or react chemically with other atoms to create new substances. Modern chemistry and physics both depend critically on our understanding of atoms and how they interact with one another.

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An alkyne can be prepared by the reaction of a vicinal dihalide or geminal dihalide with a strong base such as NaNH2.

This reaction is known as the "halogen exchange reaction" or "halogenation reaction". During this reaction, the halide ions of the dihalide are replaced by the base, resulting in the formation of an alkyne. The reaction typically takes place at room temperature, and can be catalyzed with a Lewis acid such as boron trifluoride (BF3).

The halogen exchange reaction is a useful method for the preparation of alkynes and is widely used in the synthesis of organic compounds.

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The limiting reagents are potassium superoxide, carbon dioxide, nitrogen , Sulphur dioxide and oxygen respectively

1.

Potassium superoxide reaction:

4KO2(s) + 2H2O(l) → 4KOH(s) + 3O2(g)

Given: 0.150 mol KO2 and 0.100 mol water

We can start by calculating the amount of moles of oxygen that can be produced from each reactant.

From 0.150 mol of KO2, we can produce:

0.150 mol KO2 * (3 moles O2 / 4 moles KO2) = 0.113 mol O2

From 0.100 mol of water, we can produce:

0.100 mol H2O * (3 moles O2 / 2 moles H2O) = 0.150 mol O2

Since the amount of moles of oxygen that can be produced from the water is larger, we have a surplus of water. Therefore, potassium superoxide is the limiting reagent, and we can produce 0.113 moles of O2.

2.

C2H2 and O2 reaction:

2C2H2(g) + 5O2(g) → 4CO2(g) + 2H2O(l)

Given: 13.7 g of C2H2 and 18.5 g of O2

We can start by calculating the amount of moles of each reactant:

C2H2: 13.7 g / 26.04 g/mol = 0.522 mol

O2: 18.5 g / 32.00 g/mol = 0.580 mol

We can then calculate the amount of moles of CO2 produced from each reactant:

From 0.522 mol of C2H2, we can produce:

0.522 mol C2H2 * (2 moles CO2 / 2 moles C2H2) = 0.522 mol CO2

From 0.580 mol of O2, we can produce:

0.580 mol O2 * (2 moles CO2 / 5 moles O2) = 0.232 mol CO2

Since the amount of moles of CO2 that can be produced from O2 is smaller, we have a surplus of O2. Therefore, C2H2 is the limiting reagent, and we can produce 0.522 moles of CO2. To find the mass, we can multiply the amount of moles by the molar mass of CO2:

0.522 mol * (44.01 g/mol) = 23.0 g CO2

3.

Nitrogen gas can react with hydrogen gas to form gaseous ammonia. If 4.7 g of nitrogen reacts with 9.8 g of hydrogen, how much ammonia is formed? What is the limiting reagent?

We can balance the reaction equation first:

N2(g) + 3H2(g) → 2NH3(g)

Next, we need to convert the masses of nitrogen and hydrogen to moles.

For nitrogen:

moles = mass / molar mass

moles = 4.7 g / 28.0 g/mol = 0.168 mol

For hydrogen:

moles = mass / molar mass

moles = 9.8 g / 2.0 g/mol = 4.9 mol

Since the reaction requires 3 moles of hydrogen for every 1 mole of nitrogen, the limiting reagent will be nitrogen.

The amount of ammonia that can be formed can be calculated using the moles of the limiting reagent.

moles of NH3 = moles of N2 * 2

moles of NH3 = 0.168 mol * 2 = 0.336 mol

Mass of NH3 = moles of NH3 * molar mass of NH3

Mass of NH3 = 0.336 mol * 17.0 g/mol = 5.7 g

So, 5.7 g of ammonia can be formed and nitrogen is the limiting reagent.

4.

One of the most common acids found in acid rain is sulfuric acid. Sulfuric acid is formed when gaseous sulfur dioxide reacts with ozone (O3) in the atmosphere to form gaseous sulfur trioxide and oxygen. The sulfur trioxide forms sulfuric acid when it comes in contact with water. If 5.13 g of sulfur dioxide reacts with 6.18 g of ozone, how much sulfur trioxide is formed? What is the limiting reagent?

We can balance the reaction equation first:

2SO2(g) + O3(g) → 2SO3(g)

Next, we need to convert the masses of sulfur dioxide and ozone to moles.

For sulfur dioxide:

moles = mass / molar mass

moles = 5.13 g / 64.0 g/mol = 0.0801 mol

For ozone:

moles = mass / molar mass

moles = 6.18 g / 48.0 g/mol = 0.1288 mol

Since the reaction requires equal moles of sulfur dioxide and ozone, the limiting reagent will be whichever has the smaller amount, in this case, sulfur dioxide.

The amount of sulfur trioxide that can be formed can be calculated using the moles of the limiting reagent.

moles of SO3 = moles of SO2 * 2

moles of SO3 = 0.0801 mol * 2 = 0.1602 mol

Mass of SO3 = moles of SO3 * molar mass of SO3

Mass of SO3 = 0.1602 mol * 80.0 g/mol = 12.8 g

So, 12.8 g of sulfur trioxide can be formed and sulfur dioxide is the limiting reagent.

5.

Sulfur trioxide is formed when sulfur dioxide reacts with oxygen:

SO2 + 1/2 O2 → SO3

From the given amounts of sulfur dioxide and oxygen, we can calculate the amount of sulfur trioxide that can form:

7.99 g SO2 * (1 mol SO2 / 64.06 g SO2) = 0.1251 mol SO2

2.18 g O2 * (1 mol O2 / 32.00 g O2) = 0.0681 mol O2

We need equal amounts of sulfur dioxide and oxygen for complete reaction, so the limiting reagent is the one with the smaller amount, which is oxygen. The maximum amount of sulfur trioxide that can form is determined by the amount of oxygen:

0.0681 mol O2 * (1 mol SO3 / 0.5 mol O2) = 0.1362 mol SO3

0.1362 mol SO3 * (80.06 g SO3 / 1 mol SO3) = 10.93 g SO3

So, 10.93 g of sulfur trioxide can form from the given amounts of sulfur dioxide and oxygen. The limiting reagent is oxygen.

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Record the value. Also, determine whether the pH stayed the same, became more acidic, or became more alkaline compared to the first test.

Alkaline water has a higher pH level than that of plain tap water. So proponents say that it can neutralize acid in your bloodstream. Some say that alkaline water can help prevent disease, such as cancer and heart disease.

Most fruits and vegetables, soybeans and tofu, and some nuts, seeds, and legumes are alkaline-promoting foods, so they're fair game. Dairy, eggs, meat, most grains, and processed foods, like canned and packaged snacks and convenience foods, fall on the acid side and are not allowed.

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Answer:

65.2 grams

Explanation:

We can first find the moles of AlCl3:

36.2 g AlCl3 / 133.34 g/mol = 0.27 moles AlCl3

Knowing the molar ratio of AlCl3 to Br2 in the reaction, we can calculate the number of moles of Br2 required:

0.27 moles AlCl3 * 3 moles Br2 / 2 moles AlCl3 = 0.405 moles Br2

Finally, we can convert the number of moles to grams:

0.405 moles * 159.808 g/mol = 65.02 g Br2

So, 65.02 grams of Br2 are required to react completely with 36.2 grams of AlCl3.

The parts of the Bunsen burner are;

P is the air hole and it should be closed before you light the Bunsen burner. This is to ensure that too much air does not enter.

Lighting a Bunsen burner without closing the air hole can be dangerous because it can cause the flame to become unstable and flare up, potentially leading to a fire or explosion. The air hole is used to regulate the amount of air that enters the burner and mixes with the gas. When the air hole is open, too much air can enter the burner and cause the flame to become oxygen-rich, which makes it hotter and more unstable.

In addition, an unstable flame can also release harmful byproducts such as carbon monoxide, a toxic gas that can cause headaches, dizziness, and nausea.

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A certain liquid sample contains a small amount of dissolved chloroform. The most effective way to rid the liquid of chloroform is Heating the sample gently, and providing an outlet for the gas to flow into a storage container. The correct answer is C.

Some of the liquid sample has some dissolved chloroform in it. The best method for removing chloroform from the liquid is to gently heat the sample while creating a passageway for the gas to escape into a storage container.

Allowing the gas to escape and flow into a storage container while gently heating the sample As long as a secure outlet and a container for the gas are offered, heating the sample will enable the chloroform to escape, which is an efficient method of degassing the liquid.

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The standard molar entropy of N2(g) at 298 K from its rotational constant B= 1.9987 cm-1 is 192.1 J/(K mol).

Entropy is a concept in thermodynamics and information theory that measures the amount of disorder in a system. It is typically represented by the letter S, and has units of joules per kelvin (J/K). Entropy is an important concept because it determines how much energy can be used to do work. In thermodynamics, entropy is related to the amount of energy in a system that is unavailable to do work. In information theory, entropy is related to the amount of information in a system. Entropy is also related to the amount of uncertainty in a system. Entropy increases with disorder and decreases with order. Entropy is a fundamental quantity in physics, and it has been used to explain many physical processes. The increase of entropy over time is known as the Second Law of Thermodynamics, and it has important implications for the universe.

Qrot = (2πh/B[tex])^{3/2}[/tex]

= (2π*6.626×10⁻³⁴ /1.9987×10⁻²[tex])^{3/2}[/tex]

= 3.35×10⁻³⁸

Qvib = (hv/RT[tex])^{1/2}[/tex]

= (6.626×10⁻³⁴ *2359*10²/8.314*298[tex])^{1/2}[/tex]

= 5.21×10⁻¹⁷

Standard molar entropy

= 8.314*ln(3.35×10⁻³⁸/5.21×10⁻¹⁷)

= 192.1 J/(K mol)

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The author does not provide a description of Mirwais's voice in the article. The three quotations from Mirwais suggest that he is determined and passionate about his music.

He states that he wants to "sing for peace" and that he "believes in the power of music to heal." He also expresses his desire to "spread joy and love" through his music.

The author chose Mirwais Najrabi as the subject of his article because he wanted to highlight the story of a young, talented musician who is overcoming adversity to pursue his passion. The choice of Mirwais as the subject suggests that the main purpose of the article is to inspire and encourage others to pursue their dreams and to show the positive impact that music can have on individuals and communities.

The unity of the article is good. Each paragraph develops the main idea of the young singer's story, and the overall message is that music can be a source of hope and inspiration for individuals and communities. The article flows well, and the use of quotations from Mirwais helps to reinforce the main idea and message.

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The solute is carbon dioxide and solvent is water in soda water.

Soda water is a solution of carbon dioxide (the solute) in water (the solvent). Carbon dioxide is a gas that is dissolved in the water to make the soda water. The carbon dioxide provides the fizz and the water provides the base for the soda.Soda water is a solution of carbon dioxide gas in water.This reaction's chemical equation is:

CO2 + H2O → H2CO3 (carbonic acid)

Soda water, sometimes referred to as seltzer water, is a type of carbonated water. The carbonation comes from the introduction of carbon dioxide gas which is added to the water under pressure. Soda water has a bubbly and slightly acidic taste and is often used as a mixer for alcoholic drinks, as well as for a refreshing drink on its own.

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Molar mass of H2O = 18 g/mole

Molar mass of O2 = 32 g/mole

Molar mass of glucose = 180 g/mole

What is molar mass?

The molar mass is the substance; it helps to determine the mass of the sample substance to the atom of the sample or substance. The molar mass depends on the molecular formula and the isotopes of the atom. Molar mass is used for the inducement of electric charge. Molar mass is the measurement of the volume of the mass. The molar mass is expressed in the unit of dalton.

A mole is the atom's elementary particle, an ion. The mole of the substance is always related to the Avogadro number. The mole is always associated with the weight or mass of the element or substance. The standard unit of a mole is mol. The mole is a significant factor of the reactant and products to form an equation. A mole calculates the atom, ion, and substance weighs.

6CO2 + 6H2O ----> C6H12O6 + 6O2

Atomic mass C = 12 g/mole

atomic mass of O = 16 g/mole

atomic mass of H = 1 g/mole

Thus, molar mass of CO2 = 44 g/mole

Molar mass of H2O = 18 g/mole

Molar mass of O2 = 32 g/mole

Molar mass of glucose = 180 g/mole

Thus, moles of glucose in 0.075 g of it = mass/molar mass  = 0.075/180 = 0.00042

number of molecules of aspirin = moles*Avagadro's Number = 0.00042*6.022*1023 = 2.509*1020

239Pu + 4He2+ ------> 240Cm + 3n10

Therefore, Green plants take in water (h2o) and carbon dioxide (co2) and produce glucose (c6h12o6) and oxygen gas (o2), the moles are listed above.

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The correct answer is. D) The number of protons and the number of neutrons are always the same in the neutral atom is false. The number of neutrons in an atom can vary, leading to different isotopes of the same element.

Atomic structure is defined by the number of protons, electrons, and neutrons in an atom. Protons and electrons determine the atomic number and the identity of an element, while neutrons provide additional mass to the atom. The number of protons and electrons in an atom is always equal, giving the atom a neutral charge. However, the number of neutrons in an atom can vary, leading to different isotopes of the same element.

Isotopes of an element have the same number of protons, but different numbers of neutrons. As a result, they have different atomic masses, but the same atomic number. This is why isotopes of the same element have similar chemical properties, but different physical properties. For example, isotopes of carbon, such as carbon-12 and carbon-14, have different numbers of neutrons and thus different atomic masses, but the same number of protons and the same chemical properties.

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The concentration of hydrogen ions in a solution with a pH of 4 is [tex]1 x 10^-4 M.[/tex]

The pH of a solution is a measure of the acidity or basicity of the solution and is defined as the negative logarithm of the hydrogen ion (H+) concentration in the solution. The pH scale ranges from 0 to 14, with values less than 7 indicating an acidic solution and values greater than 7 indicating a basic solution. A neutral solution has a pH of 7.

To calculate the hydrogen ion concentration (in units of M) from the pH of a solution, the formula [tex][H+] = 10^-pH[/tex] can be used. For example, in a solution with a pH of 4, the hydrogen ion concentration can be calculated as [tex][H+] = 10^-4 = 1 x 10^-4 M[/tex]. This means that in a solution with a pH of 4, there is a concentration of [tex]1 x 10^-4 M[/tex] hydrogen ions present.

It's important to note that the pH of a solution can be used to determine the relative acidity or basicity of a solution, but it cannot be used to determine the actual amount of hydrogen ions or other species present in the solution. To determine the actual concentration of species in a solution, it is necessary to perform a quantitative analysis using techniques such as titration or spectrophotometry.

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Some of the most dangerous conditions occur when temperatures are hovering around 32 °F degrees Fahrenheit, or freezing when snow begins to turn to watery slush.

The three most common forms of exceptionally severe weather are heat waves, cold waves, and tropical cyclones. The increased economic expenses, the loss of human lives, droughts, floods, landslides, and changes in ecosystems are all repercussions that may be seen as a direct result of extreme weather events.

There is evidence to show that climate change is increasing the frequency of some extreme weather events as well as the intensity of those occurrences.

Changes in the frequency or magnitude of extreme heat and cold events are the ones in which the confidence in attributing extreme weather and other events to anthropogenic climate change is highest. There is also some confidence in the attribution of increases in heavy precipitation and increases in the intensity of droughts.

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Reaction which occurs  when aqueous solutions of chromium(II) sulfate and sodium phosphate are combined is that the chemical equation is CrSO₄ + Na₃PO₄[tex]\rightarrow[/tex]Cr₃(PO₄)₂+ Na₂SO₄.

Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.

A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .

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The general direction in which a graph is moving is called a trend.

A diluted solution containing a molar ratio of potassium acetate to acetic acid has a pH of 5,46 when a weak acid and its conjugate base are combined.

Acetate/acetic acid is the ratio specified for each section of the question, and its pH value is 4.76 log (acetate/acetic acid).

Acetic acid, a byproduct of fermentation, is responsible for vinegar's characteristic aroma. Water makes around 4-6% of the acetic acid in vinegar.

pH is equal to pka plus log. [acetic acid/acetate]

pH = 4.76 + log (5/1)

pH = 5.46

Acetic acid, sometimes referred to as ethanoic acid, is a colorless, acidic organic molecule having the chemical formula CH3COOH. Vinegar contains  least 4% acetic acid by volume, making it the main component, along with water and other minor components.

Other names for acetic acid, which has the molecular formula CH3COOH, are ethanolic acid, ethylic acid, vinegar acid, and methane carboxylic.

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Mixing sand and gravel and knitting yarn into a scarf are examples of physical changes.

Physical changes are defined as changes which affect only the form of a substance but not it's chemical composition. They are used to separate mixtures in to chemical components but cannot be used to separate compounds to simpler compounds.

Physical changes are always reversible using physical means and involve a change in the physical properties.Examples of physical changes include melting,boiling , change in texture, size,color,volume and density.Magnetism, crystallization, formation of alloys are all reversible and hence physical changes.

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Your question is incomplete, but most probably your full question was mixing sand and gravel and knitting yarn into a scarf is a physical change or chemical change.

The mass of oxygen gas that is consumed by the reaction of 2.0 g of ethanol would be 1.28 grams.

The reaction of ethanol with oxygen to form water and acetic acid is shown in the balanced equation below:

[tex]CH_3CH_2OH + O_2 -- > CH_3COOH + H_2O[/tex]

The mole ratio of ethanol to oxygen is 1:1.

The mole equivalence of 2.0 g of ethanol would be:

Mole = mass/molar mass = 2/46.07 = 0.04 mol

Thus, the mole equivalence of oxygen consumed will also be 0.04 mol.

The mass of 0.04 mol oxygen consumed can be calculated as:

Mass = mole x molar mass = 0.04 x 32 = 1.28 grams

In other words, the amount of oxygen consumed would be 1.28 grams.

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It takes 13.6 moles of carbon to react with 5.44 moles of SO₂.

In chemistry, a limiting reagent is a reactant that exists in a finite amount and finishes reacting first. The limiting reagent is used if the number of moles of each reactant is known.

If the number of moles of each reactant is known, the number of moles of the reactant that has been used up or the limiting reagent must be determined. The limiting reagent is useful as a limiter (benchmark) to determine the moles of the reaction product.

In this question:

5C (s) + 2SO₂(g) → CS₂(l) + 4CO(g)

2 moles SO₂. requires 5 moles of C

5.44 moles of SO₂. ......?

Moles of Carbon = 5.44 mol SO2 X 5 mol C/2mol.

Moles of Carbon = 13.6 mol

So, the mole of carbon is 13.6 mol.

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The minimum energy 0 of a photon capable of ejecting electrons from a metal with 0=5.43×1014 s−1 is 3.597 × 10⁻¹⁹ J. The maximum kinetic energy electron of electrons ejected from this metal by light with a wavelength of 245 nm is 6.46 × 10⁻¹⁹ J.

The term kinetic energy is defined as the energy of motion, observable as the movement of an object or subatomic particle.

The formula for the minimum energy required to eject electrons from the metal that has the threshold frequency is;

E = hν

Where;

h is Planck's constant = 6.626 × 10⁻³⁴ J.s

ν is threshold frequency

So,

E = 5.43 × 10¹⁴ × 6.626 × 10⁻³⁴

E = 3.597 × 10⁻¹⁹ J

We can find the energy provided by the light using the Planck-Einstein equation. First, we need its frequency, which can be calculated from the following expression:

c = λ × ν

where,

c is the speed of light (3.00 × 10⁸ m/s)

λ is the wavelength

Then,

Let's call total energy T.

T = h . ν

= 6.63 × 10⁻³⁴ J . s × 1.28 × 10¹⁵ s⁻¹

= 8.49 × 10⁻¹⁹ J

From the total energy provided by the light (T), a part is used to eject the electron (E) and another part goes to the kinetic energy of the electron (K).

T = E + K

K = T - E

= 8.49 × 10⁻¹⁹ J - 2.03 × 10⁻¹⁹ J

= 6.46 × 10⁻¹⁹ J

Thus,  the minimum energy 0 of a photon capable of ejecting electrons from a metal with 0=5.43×1014 s−1 is 3.597 × 10⁻¹⁹ J. The maximum kinetic energy electron of electrons ejected from this metal by light with a wavelength of 245 nm is 6.46 × 10⁻¹⁹ J

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The freezing point of the solution is: 9.19 °C and the boiling point of the solution is: 102.54 °C.

To determine the freezing point of the solution, we can use the equation Δ[tex]T_{f}[/tex] = Kf x molality  

The mass of the solvent in the solution is given as 92.8 mL, so we convert it to grams:

mass of solvent = 92.8 mL x 1.00 g/mL = 92.8 g

mass of solvent = 92.8 g / 1000 g/kg = 0.0928 kg

The moles of solute (ethylene glycol) can be calculated using its molar mass:

moles of solute = 28.2 g / (62.07 g/mol) = 0.4556 mol              

molality = 0.4556 mol / 0.0928 kg = 4.92 m

And the change in freezing point is:  

Δ[tex]T_{f}[/tex] = Kf x molality = 1.86 °C/m x 4.92 m = 9.19 °C

Freezing point of the solution is:

[tex]T_{f}[/tex]= [tex]T_{f}[/tex]- Δ[tex]T_{f}[/tex] = 0 °C - 9.19 °C = -9.19 °C  

To determine the boiling point of the solution, we can use the equation ΔTb = Kb x molality

ΔTb =0.52 °C/m x 4.92 m = 2.54 °C

Boiling point of the solution is:

Tb = Tb + ΔTb = 100 °C + 2.54 °C = 102.54 °C    

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