Aluminum sulphate solution and calcium hydroxide solution produce a precipitate of aluminum hydroxide and solid calcium sulphate.​

The pH of the resulting solution = 1.05

an assessment of the acidity or basicity of an item or solution. Calculations are made for pH on a range of 0 to 14. On this scale, a pH of 7 indicates neutral, which means that it is neither acidic nor basic. The pH scale ranges from greater than 7 for more basic chemicals to less than 7 for more acidic ones. You need to know the hydronium ion concentration in moles per liter to determine the pH of an aqueous solution (molarity).

Given,

Volume of NaOH V1 = 40ml

M1 = 0.04m

Volume of nitric acid V2 = 50

M2 = 0.04M

[tex]concentration ofH^{+} = [H ^{+} ]= \frac{M1V1-M2V2}{V1+V2}[/tex]

[tex]\frac{(40)(0.25)-(50)(0.04) }{40+50}[/tex]

= 10-2/90

= 8/90

pH → -log[H+}

     = [tex]Log_{10}[ \frac{8}{90}][/tex]

pH = -(-1.051)

pH = 1.05

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Answer:

the main aim of balance in an equation is making show that the total number of substances on the reactant side is equal to the total number of substances on the product side

Explanation:

so if we were to balance the equation of water water is a compound containing two molecules of hydrogen and one molecule of oxygen therefore

H+O=H2O

[tex]H+O_2= H_2O[/tex]

Element | Reactant | Product

H | 1 × 4 | 2×2

O | 2 | 1 × 2

[tex]4H+O_2= 2H_2O[/tex]

This means that a buffer solution can resist changes in pH caused by small amounts of added acid or base.

When answering questions on Brainly, a question-answering bot should always be factually accurate, professional, and friendly. Additionally, it should be concise and not provide extraneous amounts of detail.

Typos or irrelevant parts of the question should not be ignored, and the bot should use the terms specified in the question when answering.

Considering the possible acid-base reactions, the buffer that will have the greatest capacity resistance to changes in pH upon the addition of limited amounts of bases is 0.987M NaC2H3O2 and 1.287M HC2H3O2.

This is because the buffer with the highest concentration of weak acid and weak base will have the greatest buffer capacity.A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added to it.

A buffer consists of a weak acid and its conjugate base or a weak base and its conjugate acid. These buffer solutions work by reacting with any added acid or base to form an equilibrium that minimizes the change in pH.

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The incorrect statement about simple distillation is: "the distillate is heated in the still pot." In fact, it is the mixture that is heated in the still pot, not the distillate. Simple distillation is a process used to separate components of a mixture with different boiling points.

In the distillation apparatus, the still pot contains the mixture to be separated. When this mixture is heated, components with lower boiling points evaporate first. The vapors then rise and pass through the still head, which is immediately above the still pot.

The receiving flask, on the other hand, remains unheated. Its purpose is to collect the condensed liquid, known as the distillate. As the vapors cool down, they condense and drip into the still receiver, which is connected to the still head.

Vapor condensation in the still receiver allows the separated component to be collected in its pure form, while other components with higher boiling points remain in the still pot.

In summary, simple distillation involves heating a mixture in the still pot, allowing the vapors to rise through the still head, and condensing the vapors in the still receiver to collect the distillate. The incorrect statement is that the distillate is heated in the still pot, as it is actually the mixture that is heated.

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Since Q > Ksp, a precipitate forms in the mixed solution. The precipitate is calcium fluoride ([tex]CaF_{2}[/tex]).

A solution containing sodium fluoride is mixed with one containing calcium nitrate to form a solution that is 0.015 M in NaF and 0.010 M in [tex]Ca(NO_{3})_{2}[/tex]. To determine if a precipitate forms in the mixed solution, follow these steps:

1. Write the possible reaction between the ions in the solution: NaF (aq) + [tex]Ca(NO_{3})_{2}[/tex] (aq) → [tex]NaNO_{3}[/tex] (aq) + [tex]CaF_{2}[/tex] (s)

2. Identify the solubility rules for the potential products. Sodium nitrate ( [tex]NaNO_{3}[/tex]) is soluble because nitrates are generally soluble. Calcium fluoride ( [tex]CaF_{2}[/tex]) may be insoluble, as fluorides often have limited solubility.

3. Calculate the ion product (Q) and compare it with the solubility product constant (Ksp) of  [tex]CaF_{2}[/tex]. If Q > Ksp, a precipitate will form. Q = [tex][Ca_{2+}][F-]^{2}[/tex]. The concentrations of ions in the mixed solution are: [[tex]Ca_{2+}[/tex]] = 0.010 M (from [tex]Ca(NO_{3})_{2}[/tex]) [F-] = 0.015 M (from NaF)

So, Q = (0.010) × ([tex]0.015^{2}[/tex]) = 2.25 × [tex]10^{-6}[/tex] The Ksp of  [tex]CaF_{2}[/tex] is 3.9 × [tex]10^{-11}[/tex].

4. Compare Q with Ksp: Q (2.25 × [tex]10^{-6}[/tex]) is greater than Ksp (3.9 ×  [tex]10^{-11}[/tex]).

Since Q > Ksp, a precipitate forms in the mixed solution. The precipitate is calcium fluoride (  [tex]CaF_{2}[/tex]).

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Answer:

30.7 grams

Explanation:

The balanced chemical equation for the reaction between sodium and chlorine gas is:

2 Na + Cl2 → 2 NaCl

The molar mass of sodium is 22.99 g/mol, and the molar mass of chlorine gas is 70.90 g/mol. Using these values, we can calculate the number of moles of each reactant:

Moles of sodium = 41.24 g / 22.99 g/mol = 1.794 mol

Moles of chlorine gas = 18.69 g / 70.90 g/mol = 0.263 mol

According to the balanced equation, the reaction uses two moles of sodium for every one mole of chlorine gas. Therefore, the limiting reactant is chlorine gas, and we can calculate the maximum amount of sodium chloride that can be formed:

Moles of NaCl = 0.263 mol Cl2 × (2 mol NaCl / 1 mol Cl2) = 0.526 mol NaCl

Convert moles of NaCl to grams:

Grams of NaCl = 0.526 mol NaCl × 58.44 g/mol = 30.7 g

The amount of sodium chloride that could potentially be formed is 30.4 grams.

To determine how many grams of sodium chloride could potentially be formed, we first need to balance the chemical equation for the reaction between sodium and chlorine gas:

2 Na + Cl2 → 2 NaCl

This equation shows that two moles of sodium react with one mole of chlorine gas to produce two moles of sodium chloride. We can use the given masses of sodium and chlorine gas to determine how many moles of each are present:

Molar mass of Na = 22.99 g/mol
Molar mass of Cl2 = 70.90 g/mol

Moles of Na = 41.24 g / 22.99 g/mol = 1.79 mol
Moles of Cl2 = 18.69 g / 70.90 g/mol = 0.26 mol

Since two moles of sodium react with one mole of chlorine gas, we can see that there is not enough chlorine gas present to react with all of the sodium. Therefore, chlorine gas is the limiting reactant in this reaction.

The amount of sodium chloride that could potentially be formed is limited by the amount of chlorine gas, so we need to calculate how many moles of sodium chloride can be formed from the available amount of chlorine gas:

Moles of NaCl = 0.26 mol Cl2 × (2 mol NaCl / 1 mol Cl2) = 0.52 mol NaCl

Finally, we can convert the moles of sodium chloride to grams using its molar mass:

Molar mass of NaCl = 58.44 g/mol

Mass of NaCl = 0.52 mol × 58.44 g/mol = 30.4 g

Therefore, the maximum amount of sodium chloride that could potentially be formed is 30.4 grams.

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Motion can help us in lot of ways.

Motion ensures that blood flows into our bodies.

It enhances the person's mood, ensures a healthy body, healthier bones and healthier lifestyle.

"Ace chemists discovered the process" is generally the best style for interesting writing based on what has been covered in the text as well as the power points. Option B is correct.

This sentence uses active voice, which is generally considered more engaging and interesting than passive voice. It is also concise and clear in its message, avoiding unnecessary words like "responsible for" and "was made by".

"Ace chemists" is a phrase that refers to highly skilled or exceptional chemists. The term "ace" is often used informally to describe someone who is excellent or skilled in a particular field or activity. In the context of chemistry, "ace chemists" may refer to chemists who have made significant contributions to the field or who have exceptional skills and knowledge.

Hence, B. is the correct option.

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--The given question is incomplete, the complete question is

"Select the sentence that generally is the best style for interesting writing based on what has been covered in the text and the power points. group of answer choices A) the process was discovered by ace chemists. B) ace chemists discovered the process. C) ace chemists were responsible for discovering the process. D) discovery of this process was made by ace chemists."--

As the hurricane moves over land, the hurricane is no longer fueled by this moisture. Therefore, the hurricane begins to slow down and die as it moves further inland. Hurricanes usually weaken when they hit land, because they are no longer being fed by the energy from the warm ocean waters.

Answer:

Pure water: electrolyte (poor)

Tap water: electrolyte (small amount)

Sugar solution: nonelectrolyte

Sodium chloride solution: electrolyte

Hydrochloric acid solution: electrolyte

Lactic acid solution: electrolyte.

Ethyl alcohol solution: nonelectrolyte

Pure sodium chloride: strong electrolyte

Explanation:

Electrolytes are part of a solution that conduct electricity, while nonelectrolytes do not conduct electricity in a solution.

Test 1 and 2 take us to the conclusion that PbCl2 and AgCl precipitate in the first test. SnCl4 and SnS2, both of which are extremely soluble, are present in greater amounts in the second.

This study takes into account the acidity. Except for Pb2+, Ag+, and Hg2+ for chlorides and Sr+2, Ba+2, Pb+2, and Hg+2 for sulfides, the chlorides and sulfides groups are largely soluble.

In the first instance, the HCl content is very high. It implies that HCl reacts with all ions. Because SnCl4 and SnS2 are both very soluble in the solution, there is no reaction in the second case. With Le Chatelier, if we add more reactive, the equilibrium leans to reactive, thus there is more SnCl4.

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The relatively high conductivity of tap water compared to deionized water is due to the presence of dissolved ions in tap water. The high conductivity of Gatorade is also why it can be used in experiments involving electricity and conductivity.

Tap water contains various dissolved minerals and salts, such as calcium, magnesium, sodium, and chloride ions. These ions carry an electric charge and can conduct electricity, which leads to the relatively high conductivity of tap water. In contrast, deionized water has had all of its ions removed, resulting in a very low conductivity or zero conductivity.

Gatorade is a strong electrolyte. It contains a high concentration of dissolved ions, such as sodium, potassium, chloride, and phosphate ions. These ions dissociate into positive and negative ions in water, which can conduct electricity.

This is why Gatorade is sometimes used to rehydrate athletes during and after intense physical activity, as the electrolytes can help replace those lost through sweat and aid in the body's normal function.

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The rate of reaction is 0.001 M/s. The answer is option e.

The rate of a reaction refers to the change in concentration of reactants or products per unit time. It is typically expressed in units of M/s, where M refers to the molarity of the solution (moles of solute per liter of solution). The rate constant (k) for a first-order reaction can be calculated using the half-life equation t1/2 = ln(2)/k.

In this case, t1/2 = 100 seconds, so k = ln(2)/t1/2 = 0.0069 s^-1.

The rate of reaction can be calculated using the first-order rate law, rate = k[A], where [A] is the concentration of the reactant.

Substituting the value, we get

rate = 0.0069 x 0.01 = 0.000069 M/s,

which is approximately equal to 0.001 M/s. Therefore, the answer is option e.

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--The complete question is. What is the rate of the reaction in M/s for Experiment 3, given that the concentration of one of the reactants or products is 0.01 M and the reaction follows first-order kinetics? The time it takes for the reaction to reach half completion is 100 seconds. The options provided are 0.22, 0.11, 0.005, 0.01, and 0.001 M/s.--

The volume (ml) of HCl solution at pH 1.52 that can be neutralized with a given amount of CaCO₃ is 17.87 mL

We want to determine the volume of HCl that can be neutralized with a given amount of CaCO₃.

First we will write the chemical equation for the reaction i.e.

2HCl + CaCO₃ → CaCl2 + CO2 + H2O

This means that now 1 mole of CaCO₃, 2 moles of HCl are needed to neutralize.

Mass = 27.0 mg = 0.027 g Using the formula,

mol = mass / molar mass

∴ CaCO₃ mol present =

CaCO₃ mol present = 0.00026977 mol

Since 2 mol HCl is required, 2 mol HCl 70 mol CaCO₃ must be neutralized 20. of CaCO₃ 444 0.00053954 mol HCl

∴ CaCO₃ needs to be neutralized 0.00053954 mol HCl Now for the volume of HCl solution at pH 1.

52 required.

We will first determine the HCl concentration = 10^(-1.52)

[H⁺] = 0.

0302 M

∴ HCl concentration 0.0302 M

Now, for the volume using the formula,

Volume = mol/concentration

Required HCl Volume = 0.01787 L

Hence, the volume in milliliters (mL) of an HCl solution with a pH of 1.52 that can be neutralized by the given CaCO₃ is 17.87 mL.

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A Bohr-Rutherford diagram is a simplified visual representation of the atomic structure of an element. It is named after Niels Bohr and Ernest Rutherford.

In a Bohr-Rutherford diagram, the nucleus of the atom is represented by a small circle in the center, and the electrons are shown as circles orbiting the nucleus in distinct energy levels or shells. The electrons in the innermost shell are closest to the nucleus and have the lowest energy level, while the electrons in the outermost shell have the highest energy level.

The number of electrons in each shell is determined by the element's atomic number. For example, hydrogen, which has an atomic number of 1, has one electron in its sole shell, while carbon, with an atomic number of 6, has two electrons in its inner shell and four electrons in its outer shell.

The Bohr-Rutherford diagram for fluorine (green) and hydrogen fluoride (purple) are shown.

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The mass of the gas is 4.777 gram in the container with volume 71.9 ml contains water vapor at a pressure of 10.4 atm. and a temperature of 465 degree centigrade. This is calculated using ideal gas equation.

Volume of the water vapor = 71.9 ml = 0.0719L

Pressure of the water vapor = 10.4 atm.

Temperature of the water vapor =  465 degree C = 738 K

We can calculate the number of moles of water vapor by using the ideal gas equation.

    PV = n RT

10.4 atm. * 0.0719L = n * 8.314 J/ mole· K * 10.4 atm.

n = 10.4 atm. * 0.0719L  / 8.314 J/ mole· K * 10.4 atm.

   = 0.0086 mole

We know that the number of moles is equals to,

 Number of moles = mass / molar mass

                               = 0.0086 mole / 18 g/mole

                               = 4.777 g

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A well-organized argumentative essay will have each paragraph contain a distinct topic phrase, a logical progression of ideas and arguments, and proper citation and analysis of the supporting documentation.

The argumentative essay might be structured in one of two ways. The first strategy is to create all of your own arguments before opposing and disproving theirs. The second tactic is to take each point put out by your opponent and refute it on its own.

There are three different methods for structuring the points of an argument: the Toulmin Method, the Classical Method, and the Rogerian Way.

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The speed of proton is [tex]2.99 x 10^5 m/s[/tex]. The direction of the electric field should be perpendicular to both the magnetic field and the velocity vector of the proton.

(a) To calculate the speed of the proton, we can use the formula:

v = (q x r x B) / m

where v is the speed, q is the charge of the proton[tex](1.6 x 10^-19 C)[/tex], r is the radius (0.051 m), B is the magnetic field (0.725 T), and m is the mass of the proton [tex](1.67 x 10^-27 kg)[/tex].

[tex]v = (1.6 x 10^-19 C * 0.051 m * 0.725 T) / (1.67 x 10^-27 kg)[/tex]
[tex]v ≈ 2.99 x 10^5 m/s[/tex]

The direction of the proton's movement depends on the orientation of the magnetic field. If the magnetic field is pointing into the page, the proton will move counterclockwise; if the magnetic field is pointing out of the page, the proton will move clockwise.

(b) To make the proton continue in a straight line path, we need an electric field that will balance the magnetic force. The force due to the electric field can be found using:

F = q x E

The force due to the magnetic field can be found using:

F = q x v x B

Since these forces must be equal, we can set them equal to each other:

q x E = q  x v x B

E = v x B

[tex]E = 2.99 x 10^5 m/s × 0.725 T[/tex]
[tex]E ≈ 2.17 x 10^5 N/C[/tex]

The direction of the electric field should be perpendicular to both the magnetic field and the velocity vector of the proton. If the magnetic field is pointing into the page, the electric field should point downward; if the magnetic field is pointing out of the page, the electric field should point upward.

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The volume occupied by a 10 g sample of nitrogen gas at 25°C and 1.0 atm pressure is 8.61 L.

To calculate the volume occupied by a 10 g sample of nitrogen gas at 25°C and 1.0 atm pressure, we need to use the ideal gas law equation:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.

First, we need to determine the number of moles of nitrogen gas present in the 10 g sample. To do this, we divide the mass by the molar mass of nitrogen:

n = m/M = 10 g / 28 g/mol = 0.357 mol

Next, we convert the temperature from Celsius to Kelvin:

T = 25°C + 273.15 = 298.15 K

Now we can plug in the values and solve for V:

V = nRT/P = (0.357 mol)(0.0821 L·atm/mol·K)(298.15 K)/(1.0 atm) = 8.61 L

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the area of the shaded region of the trapezoid.  is 270 - 45 = 225 sq. units. Thus, the answer is option A which is 225 sq. units.

To find the area of the shaded region in the trapezoid, we need to subtract the area of the smaller triangle from the area of the larger triangle. The height of both triangles is the same, so we only need to find the bases.

The base of the larger triangle is the sum of the bases of the trapezoid, which is 15 + 30 = 45 units. The height of the triangle is 12 units, so the area of the larger triangle is (1/2) x 45 x 12 = 270 sq. units.

To find the base of the smaller triangle, we need to subtract the length of the shorter base of the trapezoid (15 units) from the longer base (30 units) and divide by 2. So, the base of the smaller triangle is (30 - 15)/2 = 7.5 units. The area of the smaller triangle is (1/2) x 7.5 x 12 = 45 sq. units.

Therefore, the area of the shaded region is 270 - 45 = 225 sq. units. Thus, the answer is option A which is 225 sq. units.

Find the area of the shaded region of the trapezoid.

A. 225  sq. units

B. 130 sq. units

C. 429 sq. units

D. 663 sq. units

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The amount of oxygen diffused in 1 hour under the steady state condition through a non diffusing gas mixture of methane is 0.14076 K mole/hr.m2. This is calculated using the expression of Molar flux.

The molar flux = [tex]DA_{M}[/tex] * [tex]P_{t}[/tex]* ([tex]P_{A1}[/tex] - [tex]P_{A2}[/tex]) / [tex]RTZP_{BM}[/tex]

[tex]PB_{M}[/tex] =([tex]P_{B2}[/tex]- [tex]P_{B1}[/tex])/ ln ([tex]P_{B2}[/tex]/ [tex]P_{B1}[/tex])

[tex]P_{B2}[/tex]= 105- 13*103   = 87*103  N/m2, [tex]P_{B2}[/tex]= 105- 6500= 93.5*103 N/m2

[tex]PB_{M}[/tex]=   (87*1000- 93.5*1000)/ ln (87/93.5)= 90200 N/m2

[tex]DA_{M}[/tex]  =  Diffusivity of oxygen into mixture of  Methane and hydrogen

          =  (yCH4/[tex]DA_{B}[/tex] + yH2/[tex]DA_{C}[/tex])

Since  volume ratio of Methane to hydrogen is 2:1

y[tex]CH_{4}[/tex]= 2/3 and y[tex]H_{2}[/tex]= 1/3

[tex]DA_{B}[/tex]= 1.86*10-5 m2/sec   and [tex]DA_{C}[/tex] =  7*10-5 m2/sec

[tex]DA_{C}[/tex]= 1/ (0.667/1.86*10-5+ 0.333/7*10-5) =2.462*10-5

[tex]N_{A}[/tex] = 2.462*10-5*(13000-6500)/ 8314*273*0.002*90200

     =  3.91*10-5 K mole/m2.s

for 1  hour  NA= 3.91*10-5*3600 Kmolm2 =0.14076 K mole/hr.m2

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The correct question is,

calculate the amount of oxygen diffused in 1 hour under steady state conditions through a non-diffusing gas mixture of methane

The mass percentage of carbon in nylon is approximately 68.1%.

What is mass of carbon?

The first step is to calculate the amount of carbon in 2.50g of carbon dioxide, using the molar mass of carbon and carbon dioxide:

1 mole of carbon has a mass of 12.01g

1 mole of carbon dioxide has a mass of 44.01g (12.01g for carbon + 2(16.00g) for oxygen)

So, the mass of carbon in 2.50g of carbon dioxide is:

(12.01g / 44.01g) x 2.50g = 0.681g

This means that the original 1.00g of nylon must have contained 0.681g of carbon. To find the percentage of carbon in nylon, we divide the mass of carbon by the mass of nylon and multiply by 100:

(0.681g / 1.00g) x 100% = 68.1%

Therefore, the percentage of carbon in nylon is approximately 68.1%.

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Complete question is: When 1.00g of nylon is burnt in excess oxygen, it produces 2.50g of carbon dioxide. the percentage of carbon in nylon is approximately 68.1%.

A total of 1,000 to 100,000 million metric tons of carbon are thought to pass annually through the biological route. Around 65,500 billion billion metric tonnes of the Earth's carbon are trapped in rocks.

In the slow carbon cycle, carbon moves through rocks, soil, oceans, and the atmosphere over a period of 100–200 million years through a series of chemical reactions and tectonic activity. The annual average for the slow carbon cycle is [tex]10^{13}[/tex] to [tex]10^{14}[/tex] grammes (10100 million metric tons) of carbon. In contrast, the rapid carbon cycle transfers [tex]10^{16}[/tex] to [tex]10^{17}[/tex] grammes of carbon every year, but human emissions of carbon to the atmosphere are on the order of 1015 grammes.

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The image shows a balanced chemical equation:

2H₂(g) + O₂(g) → 2H₂O(g)

The electron configurations of elements are arranged in rows and columns in the periodic table based on their increasing atomic numbers. The rows, called periods, represent the number of electron shells in each element, while the columns, called groups, represent the number of valence electrons.

The atomic number of an element determines its position in the periodic table. Elements with similar chemical properties are arranged in the same group, and the number of valence electrons in the outermost shell of an element corresponds to its position in the periodic table.

Thus, the atomic number provides a way to predict the chemical behavior of an element and its position in the periodic table.

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The IUPAC names of the organic compounds are as follows:

The IUPAC nomenclature of organic compounds is a system of naming organic chemical compounds according to a set of rules established by the International Union of Pure and Applied Chemistry (IUPAC).

The basic rules of the IUPAC nomenclature system involve identifying the longest continuous chain of carbon atoms in the molecule (the parent chain), assigning a root name to this chain based on the number of carbon atoms, and adding prefixes or suffixes to indicate functional groups and other substituents.

Stereochemistry (the arrangement of atoms in three-dimensional space) is also taken into account when naming compounds.

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The given statement "A change in the concentration of the reactant or the product do not change keq" will be false. Because a change in the concentration of a reactant or product will change the value of Keq.

According to Le Chatelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that partially counteracts the stress and reestablishes equilibrium. Changes in the concentration of a reactant or product will alter the concentrations of all species present in the reaction, and thus will disturb the equilibrium.

For example, if the concentration of a reactant is increased, the reaction will shift towards the product side to partially counteract the increase in the concentration of the reactant. This will result in an increase in the concentration of products and a decrease in the concentration of reactants. As a result, the value of Keq will change to reflect the new equilibrium concentrations of reactants and products.

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Answer:

As more force glider moves faster

The pH of the solution of 0.482 m ethylammonium chloride is 1.96.

When dissolved in water, it dissociates into its ions,

C₂H₅NH₃Cl → C₂H₅NH₃⁺ + Cl⁻

The C₂H₅NH₃⁺ ion can react with water to form C₂H₅NH₂ and H₃O⁺ ions:

C₂H₅NH₃⁺ + H₂O ⇌ C₂H₅NH₂ + H₃O⁺

The equilibrium constant for this reaction is Kb, the base dissociation constant for ethylamine, which is given as 4.3 x 10^-4. We can use this value to calculate the concentration of hydroxide ions in the solution.

First, we need to calculate the initial concentration of ethylammonium ion, which is equal to the concentration of ethylammonium chloride because the salt dissociates completely in water:

[C₂H₅NH₃⁺] = 0.482 M

The initial concentration of hydroxide ions is negligible, so we can assume that it is zero. At equilibrium, the concentration of ethylammonium ion will decrease by x, and the concentrations of ethylamine and H₃O⁺ ions will both increase by x. Therefore, we can write the equilibrium concentrations as:

[C₂H₅NH₃⁺] = 0.482 - x

[C₂H₅NH₂] = x

[H₃O⁺] = x

Using the expression for Kb,

Kb = [C₂H₅NH₂][H₃O⁺]/[C₂H₅NH₃⁺]

Substituting in the equilibrium concentrations and the value of Kb,

4.3 x 10^-4 = x^2 / (0.482 - x)

Since x is much smaller than 0.482, we can assume that 0.482 - x ≈ 0.482. Solving for x,

x = sqrt(Kb[C₂H₅NH₃⁺]) = sqrt((4.3 x 10^-4)(0.482)) = 0.011

Therefore, the concentration of H₃O⁺ ions is [H₃O⁺] = 0.011 M. Using the expression for pH, we can calculate the pH of the solution,

pH = -log[H₃O⁺] = -log(0.011) = 1.96

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The pH of a solution that is made when 0.10 l of 0.24 m benzoic acid and 3.00g of sodium benzoate (molar mass = 144.11 g/mol) are added together is: 1.74.

To calculate the pH of a solution made by mixing 0.10 L of 0.24 M benzoic acid and 3.00 g of sodium benzoate, we need to determine the concentration of benzoic acid and benzoate ion in the mixture. Then, we can use the acid dissociation constant of benzoic acid to calculate the pH of the solution.

Step-by-step solution:

First, we need to calculate the amount of sodium benzoate added to the solution.

Number of moles of sodium benzoate = mass of sodium benzoate / molar mass of sodium benzoate

= 3.00 g / 144.11 g/mol

= 0.0208 mol

Now, we need to calculate the amount of benzoic acid added to the solution. Since we know the volume and concentration of benzoic acid, we can  use the formula:

C = n / V

where,

C = concentration of benzoic acid

n = number of moles of benzoic acid

V = volume of solution in liters

Substituting the given values, we get,

0.24 M = n / 0.10 L

n = 0.024 mol

Therefore, the total number of moles of benzoic acid and benzoate ion in the solution are:

0.024 mol (benzoic acid) + 0.0208 mol (benzoate ion) = 0.0448 mol

Now, we can calculate the molarity of benzoate ion in the solution.

Molarity of benzoate ion = moles of benzoate ion / volume of solution in liters

= 0.0208 mol / 0.10 L

= 0.208 M

Molarity of benzoic acid in the solution is still 0.24 M since it is a weak acid and does not fully ionize in water. Now, we can use the acid dissociation constant of benzoic acid to calculate the pH of the solution.

The acid dissociation constant of benzoic acid is given by the following equation:

Ka = [C6H5COO-][H3O+] / [C6H5COOH]

where,

Ka = 6.5 × 10^-5

[C6H5COO-] = concentration of benzoate ion (M)

[C6H5COOH] = concentration of benzoic acid (M)

H3O+ = concentration of hydronium ion

We know the concentrations of benzoic acid and benzoate ion, but we need to calculate the concentration of hydronium ion. This can be done using the following formula:

Kw = [H3O+][OH-]

where,

Kw = 1.0 × 10^-14 (at 25°C)

Since the solution is neutral, the concentration of hydronium ion is equal to the concentration of hydroxide ion.

Concentration of hydroxide ion = Kw / [H3O+]

= 1.0 × 10^-14 / [H3O+]

We can substitute this value of [OH-] in the equation for Ka.

Ka = [C6H5COO-][H3O+] / [C6H5COOH]

= [0.208 M][H3O+] / [0.24 M]

= 1.73 × 10^-5

[H3O+] = sqrt(Ka × [C6H5COOH] / [C6H5COO-])

= sqrt(6.5 × 10^-5 × 0.24 / 0.208)= 0.018 M

Now, we can calculate the pH of the solution using the formula:
pH = -log[H3O+]= -log(0.018)= 1.74

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The first law of thermodynamics, also referred to as the law of conservation of energy, states that energy can only be transferred or converted from one form to another and cannot be produced or destroyed.

This implies that the overall level of energy in a confined system doesn't change.

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only converted from one form to another.

This indicates that even though energy can change its form, the overall amount in a closed system stays constant. An automobile, for instance, has kinetic energy when it is moving, but when it stops, the brakes of the vehicle transform that kinetic energy into heat energy.

A similar transformation occurs when a light bulb is switched on from electrical energy to light energy.

In conclusion, the first rule of thermodynamics states that although energy can change forms and is always conserved, it cannot be created or destroyed.

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