determine how the ph of the following three solutions will change when 50 ml of h 2 o is added separately to each of them. i. 50 ml of 0.02 m kcl(aq) ii. 50 ml of 0.02 m hcl(aq) iii. 50 ml of 0.02 m koh(aq) 50 ml of 0.02 m kcl(aq) 50 ml of 0.02 m hcl(aq) 50 ml of 0.02 m koh(aq) a. ph increases ph increases ph increases b. no change in ph ph increases ph decreases c. no change in ph ph decreases ph increases d. ph decreases ph increases ph decreases e. ph decreases ph decreases ph decreases

The pair of compounds that exhibit predominantly ionic bonding are NaF and MgO.

NaF is composed of a metal (Na) and a non-metal (F), and MgO is composed of a metal (Mg) and a non-metal (O). In both compounds, the metal atom loses electrons to form a cation, and the non-metal atom gains electrons to form an anion. The resulting ions attract each other electrostatically to form the ionic bond.

In the other pairs of compounds listed, the bonds are not purely ionic. SO2 and HCl have covalent bonds, RbF and NO2 have polar covalent bonds, KNO3 has both ionic and covalent bonds, and KCl and CO2 have polar covalent bonds.

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The value of ΔGrxn for the given reaction is -156.74 kJ·mol-1 at 25 °C.

To calculate ΔGrxn for the given reaction, we can use the following equation:

ΔGrxn = ΣnΔfG(products) - ΣmΔfG(reactants)

where ΔfG is the standard molar Gibbs free energy of formation, n and m are the stoichiometric coefficients of the products and reactants respectively.

Let's start by writing the balanced chemical equation for the reaction:

[tex]SO_2(g) + 2 H_2(g)[/tex] → [tex]S(s) + 2 H_2O(g)[/tex]

Now we can use the given values of ΔfG to calculate ΔGrxn:

ΔGrxn = [ΔfG(S) + 2ΔfG([tex]H_2O[/tex])] - [ΔfG([tex]SO_2[/tex]) + 2ΔfG([tex]H_2[/tex])]

ΔGrxn = [0 + 2(-228.57 kJ·mol-1)] - [-300.4 kJ·mol-1 + 2(0)]

ΔGrxn = -457.14 kJ·mol-1 + 300.4 kJ·mol-1

ΔGrxn = -156.74 kJ·mol-1

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Answer:

540

The correct answer is To determine how many grams of hydrobromic acid (HBr) are produced when excess nitric acid[tex](HNO3)[/tex]reacts with 25.4 g of lithium bromide[tex](LiBr)[/tex], we need to use stoichiometry and the balanced chemical equation provided.

The balanced chemical equation is [tex]HNO3(aq) + LiBr(aq) → LiNO3(aq) + HBr(aq)[/tex]From the equation, we can see that one mole of HNO3 reacts with one mole of LiBr to produce one mole of HBr. Therefore, we need to first determine the number of moles of LiBr used in the reaction. To do this, we can use the molar mass of LiBr to convert the given mass of 25.4 g to moles: [tex]25.4 g LiBr x (1 mole LiBr / 86.85 g LiBr) = 0.292 moles LiBr[/tex]Since the reaction uses 1 mole of LiBr, we know that 0.292 moles of HBr will be produced. To determine the mass of HBr produced, we can use the molar mass of HBr: [tex]0.292 moles HBr x (80.91 g HBr / 1 mole HBr) = 23.6 g HBr[/tex] Therefore, when excess nitric acid reacts with 25.4 g of lithium bromide, 23.6 g of hydrobromic acid are produced. It's important to note that the word "excess" indicates that there is more than enough nitric acid to react with all of the lithium bromide, which means that the reaction will go to completion and all of the LiBr will be consumed. If the nitric acid were limiting, then we would need to calculate the amount of HBr produced based on the limiting reactant.

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The balanced chemical equation for the reaction between carbon and water to form methane is:

C + 2H2O → CH4 + CO2

From the equation, we see that one mole of carbon reacts with two moles of water to produce one mole of methane.

To determine the theoretical yield of methane, we first need to convert the mass of carbon to moles:

1250 g C × (1 mol C/12.011 g C) = 104.11 mol C

Since one mole of carbon produces one mole of methane, the theoretical yield of methane is also 104.11 mol.

Next, we can use the molar mass of methane to convert the theoretical yield from moles to grams:

104.11 mol CH4 × (16.043 g CH4/mol) = 1669.9 g CH4

Therefore, the theoretical yield of methane is 1669.9 g.

The percent yield of the reaction is the actual yield (the amount of methane recovered) divided by the theoretical yield, multiplied by 100%.

percent yield = (actual yield / theoretical yield) × 100%

To find the actual yield, we use the given mass of methane recovered:

actual yield = 710 g CH4

So, the percent yield is:

percent yield = (710 g CH4 / 1669.9 g CH4) × 100%

percent yield = 42.5%

Therefore, the percent yield of the reaction is 42.5%.

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Answer:

The wavelength of the line in the spectrum of the hydrogen atom is 102.57 nm.

The line in the spectrum of the hydrogen atom that results from the electron moving from the orbital with n = 5 to the orbital with n = 2 has a wavelength of 434 nanometers (nm).

The hydrogen atom is the most fundamental form of hydrogen. There is one proton, one electron, and no neutrons in the hydrogen atom. It's the lightest element on the periodic table, and it's also the most abundant. The symbol for hydrogen is H. It is the element that is present everywhere in the cosmos.

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The statement that is not true is: d. Evaporation preferentially releases ions such as Na and K into the atmosphere. Seawater is not simply concentrated river water because it undergoes various processes that modify its composition.

Explanation: When evaporation occurs, water molecules leave the surface and enter the atmosphere, but ions like Na and K generally do not evaporate with water. Instead, these ions remain in the seawater, making it saltier.

The other three statements are true and contribute to the differences between seawater and river water:
a. Hydrothermal activity removes some ions (e.g., [tex]Mg_2^+[/tex]) and adds others (e.g., [tex]Ca_2^+[/tex]): Hydrothermal vents at the seafloor release hot fluids, which can dissolve minerals from the Earth's crust. These fluids can remove ions like [tex]Mg_2^+[/tex] from the seawater and introduce new ions, such as [tex]Ca_2^+[/tex], altering the composition of seawater.
b. Volcanic gases add components such as chloride ([tex]Cl^-[/tex]) and sulfate ([tex]SO_{4}^{2-}[/tex]): When volcanoes erupt, they release gases that can dissolve in seawater. These gases contain components like chloride and sulfate, which contribute to the salinity of seawater.
c. Biological activity such as the formation of shells removes some ions (e.g., [tex]Ca_2^+[/tex]): Marine organisms like mollusks and corals extract ions like [tex]Ca_2^+[/tex] from seawater to build their shells and skeletons. This process helps to remove these ions from the seawater, altering its composition.

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Aluminum and iron oxide (Fe₂O₃) react together to produce aluminum oxide, 20 g of Fe₂O3 will produce 14 g of Fe.

Oxide is a category of chemical compound that has one or more oxygen atoms and also another element in its composition.

2Al +  Fe₂O₃ -> Al₂O₃ + 2Fe

Molar mass of Fe₂O₃ is: (2 x 56) + (3 x 16) = 160 g/mol

moles of Fe2O3 = 20 g / 160 g/mol = 0.125 mol

As the reaction is carried out with an excess of Al, we can assume that all of the Fe₂O₃ is consumed and that 2 moles of Fe are produced for every mole of Fe₂O₃

moles of Fe = 2 x moles of Fe₂O₃ = 0.25 mol

Molar mass of Fe is : 56 g/mol

So the mass of Fe produced is:

mass of Fe = moles of Fe x molar mass of Fe

mass of Fe = 0.25 mol x 56 g/mol = 14 g

Therefore, 20 g of Fe₂O₃ will produce 14 g of Fe.

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Answer:

Explanation:

Calcium chloride (CaCl2) dissociates into three ions in water: one Ca2+ ion and two Cl- ions.

To find the concentration of ions in the solution, we need to find the total number of moles of ions that result from dissolving 0.584 moles of CaCl2:

One mole of CaCl2 produces one mole of Ca2+ ions and two moles of Cl- ions.

Therefore, 0.584 moles of CaCl2 produces 0.584 moles of Ca2+ ions and 2 x 0.584 = 1.168 moles of Cl- ions.

Next, we need to find the total volume of the solution:

The solution is made by dissolving the CaCl2 in enough water to make 4.76 L of solution.

Therefore, the volume of the solution is 4.76 L.

Finally, we can calculate the concentration of each ion:

Concentration of Ca2+ ions: moles of Ca2+ ions / volume of solution = 0.584 mol / 4.76 L = 0.122 M

Concentration of Cl- ions: moles of Cl- ions / volume of solution = 1.168 mol / 4.76 L = 0.245 M

So the concentration of Ca2+ ions is 0.122 M and the concentration of Cl- ions is 0.245 M.

The concentration (in m) of ions, in a solution of 0.584 moles of CaCl2 dissolved in enough water to make 4.76 L of the solution is 0.245 M.

What is concentration?

Concentration refers to the amount of a substance that is dissolved in a specific quantity of solvent or solution. It is typically measured in units of moles per liter (M) or milligrams per deciliter (mg/dL).

What is CaCl2?

Calcium chloride (CaCl2) is a compound of calcium and chlorine. It is a salt that is commonly used as a drying agent, because it can absorb water from the air. It is also used in food preservation, snow and ice removal, and concrete mixing.

How to find the concentration of CaCl2 ions?

The molar mass of CaCl2 is 111 g/mol.

Number of moles of CaCl2 = mass/molar mass= 0.584 moles

Volume of the solution = 4.76 L.

The concentration of CaCl2 ions can be calculated as follows:

Concentration of CaCl2 = Number of moles of CaCl2/Volume of the solution= 0.584 moles/4.76 L= 0.1227 M

The concentration of ions, on the other hand, is calculated as twice the concentration of CaCl2 because the compound dissociates into two ions: Ca2+ and 2Cl-.

Therefore, the concentration of ions = 2 × 0.1227 M= 0.245 M.

Therefore, the concentration (in m) of ions, in a solution of 0.584 moles of CaCl2 dissolved in enough water to make 4.76 L of the solution is 0.245 M.

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Wide melting point range: Impure sample

Narrow melting point range : Pure sample

A wide melting point range is known as the range of more than 5°C  which usually indicates that the substance is impure.  A narrow melting point range is known as the range of 0.5 to 2°C which usually indicates that the substance is fairly pure. It explains the impurities effect on the Melting Point. A wide melting point is used as a indicator of purity as there is a general lowering and broadening of the melting range as impurities increase.

A narrow melting point range is defined as the range which suggests a pure sample with one compound when a wide melting point range suggests an impure sample with multiple compounds. Through the wide melting point and narrow melting point range observation of a sample it can provide an indication of whether the sample is pure or impure with multiple compounds present.

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A chemistry student weighs out of acrylic acid into a volumetric flask, The weight of the acrylic acid the student weighed out, The concentration of the acrylic acid solution after dilution, The concentration of the titrant solution

To calculate the volume of the titrant solution needed for the titration, we need some additional information, such as:
1. The weight of the acrylic acid the student weighed out
2. The concentration of the acrylic acid solution after dilution
3. The concentration of the titrant solution
Once you have this information, follow these steps:
Step 1: Calculate the moles of acrylic acid in the solution.
- Moles = (weight of acrylic acid) / (molar mass of acrylic acid)
Step 2: Calculate the concentration of the diluted acrylic acid solution.
- Concentration = (moles of acrylic acid) / (total volume of the solution)
Step 3: Use the stoichiometry of the reaction between the acrylic acid and the titrant to determine the moles of titrant needed to neutralize the acid.
Step 4: Calculate the volume of the titrant solution needed for titration.
- Volume of titrant = (moles of titrant) / (concentration of titrant solution)
Remember to convert the volume of titrant to the appropriate units, such as milliliters or liters, depending on the question's requirements.

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To calculate the pH of the buffer, we first need to find the concentration of NH4+ and NH3 in the solution.

The dissociation of NH4Cl in water is as follows:

NH4Cl → NH4+ + Cl-

Since NH4Cl is a strong electrolyte, it dissociates completely in water, and the concentration of NH4+ in solution is the same as the initial concentration of NH4Cl:

[ NH4+ ] = 0.250 M

The reaction between NH3 and water is as follows:

NH3 + H2O ⇌ NH4+ + OH-

The base dissociation constant for ammonia (Kb) is 1.8 x 10^-5. We can use this value to find the concentration of NH3 and OH- in the solution.

Let x be the concentration of NH3 in the solution. Then, the concentration of NH4+ will be 0.250 M - x (since NH4+ and NH3 are in equilibrium). The concentration of OH- can be calculated using the Kb value:

Kb = [ NH4+ ][ OH- ] / [ NH3 ]

1.8 x 10^-5 = (0.250 M - x) x / (0.250 M)

x = 0.0564 M (concentration of NH3)

[ OH- ] = Kb x / [ NH4+ ]

[ OH- ] = (1.8 x 10^-5) (0.0564 M) / (0.250 M - 0.0564 M)

[ OH- ] = 4.37 x 10^-6 M

Since this is a basic solution, the pH can be calculated using the pOH equation:

pOH = -log [ OH- ]

pOH = -log (4.37 x 10^-6)

pOH = 5.36

The pH can be found by subtracting the pOH from 14:

pH = 14 - pOH

pH = 14 - 5.36

pH = 8.64

Therefore, the pH of the buffer is 8.64.

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The amount of nitrogen in moles (n) is [n=166.8.028.0] = 5.95714286 moles. every mole of CH4 is consumed results in the production of one mole of CO2. In 100 g of water, there are about eleven moles of hydrogen atoms.

Under a consistent pressure of 1 atm, a mole of water heated to 100°C turns into steam. [Heat of vaporisation liquid water at 100°C= 540cal/gm] is the change in entropy.

Since 1 mole or methane can completely burn to make 1 mole of carbon dioxide, we may say that mole ratio of methane can fully burn to produce 44 grammes of carbon dioxide.

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The compounds are;

A - methane

B - nitrogen

C - water

A molecular model is a physical or virtual representation of a molecule, which shows the arrangement of its atoms and the nature of the chemical bonds between them.

Molecular models are used to visualize the three-dimensional structure of molecules and to understand their chemical and physical properties.

Molecular models are used in many fields of science, including chemistry, biochemistry, and materials science. They are used to study the properties and behavior of molecules in different environments and to design new molecules with specific properties for use in various applications.

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A radical cation is created in the ionization chamber when a high energy electron impacts molecule M.

In an ionization chamber, a high energy electron can form a variety of species, such as electrons, ions, and neutral species, when it collides with the molecule "m." Ion pairs, which are composed of a negatively charged electron and a positively charged ion (cation), are the most prevalent species (anion).

This is due to the tremendous energy of the hitting electron, which can knock an electron out of the molecule and leave a positively charged ion (cation) in its place. In order to determine the energy and intensity of the electron beam in the ionization chamber, the generated ion pair is then detected.

Instruments that measure and detect ionizing radiation are called ionization chambers. Ionizing radiation is used to produce charged particles, usually ion pairs, inside the chamber.

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The complete question is

When high energy electron impacts molecule M in the ionization chamber, what type of species initially produced?

The process involves burning coal is used to make nearly half of the electricity in the United States.

By burning coal in a boiler to make steam, coal-fired power plants produce electricity. Under tremendous pressure, the produced steam enters a turbine, which spins a generator to generate electricity. The steam is then cooled, dense back into the water, and got back to the kettle to begin the interaction once again.

At the moment, coal provides the majority of the world's electricity. The primary source remains for many nations.

Fossil fuel power plants generate heat by burning oil or coal, which is then used to create steam that powers turbines that generate electricity.

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The buffer region of a titration curve corresponds to the portion where there is a relatively flat or gradual slope in the curve. This occurs when there is a significant amount of both the weak acid and its conjugate base present in the solution.

Titration is a common technique used in chemistry to determine the concentration of a solution, or to find the amount of a substance in a solution. It involves adding a solution of known concentration (the titrant) to a solution of unknown concentration (the analyte) until the reaction between the two is complete. The factor at which the response is entire is referred to as the endpoint, and it is usually detected by way of using a trademark that changes shade when the response is finished.

Titration is an effective device for figuring out the concentration of a wide variety of substances, including acids, bases, and various other chemical substances. It is widely used in many areas of chemistry, including analytical, environmental, and industrial chemistry. Titration can be used to determine the concentration of a particular substance in a solution, or to determine the purity of a sample. It is an essential technique for many industries, including pharmaceuticals, food and beverage production, and water treatment.

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The pH of the buffer solution is relatively stable and does not change significantly upon the addition of small amounts of acid or base.

The pH of a buffer solution is determined by the equilibrium between a weak acid and its conjugate base or a weak base and its conjugate acid.  When water is added to a buffer solution, the concentration of the buffer components does not change, and the ratio of the weak acid and its conjugate base or weak base and its conjugate acid remains constant. Therefore, the pH of the buffer solution remains unchanged.

However, the addition of large amounts of water can dilute the buffer solution and cause a slight increase in pH due to the decrease in concentration of the buffer components. This effect is more pronounced in weaker buffer solutions. Therefore, in general, the pH of a buffer solution will remain relatively stable upon the addition of small amounts of water, but may increase slightly with the addition of large amounts of water.

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The equation showing the fusion of Li-7 atom with a H-3 atom to form a Be-8 atom and some number of neutrons is:

Li-7 + H-3 → Be-8 + n

The neutrons produced in the fusion reaction carry away excess energy and help to stabilize the beryllium-8 nucleus that is formed. They may also go on to participate in further fusion reactions.

Some of the challenges associated with achieving nuclear fusion on Earth include the need to create and maintain the high temperatures and pressures required for fusion reactions to occur, the difficulty of confining and controlling the hot plasma that is produced, and the potential hazards associated with the release of large amounts of energy in a relatively short amount of time.

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Dalton's law of partial pressure means that the total pressure of a gas mixture is equal to the sum of the individual partial pressures of each gas.

Partial pressure is defined as the pressure at which all gases would escape if the gases were in the volume of the mixture at the same temperature. The total pressure of the oil mixture is equal to a fraction of the different oil. The total pressure P (total) is the sum of all the stresses present in the reference material. Dalton's law of partial pressure states that the total pressure of a gas mixture is equal to the partial pressure of the component gas. Mathematically expression : [tex]P = \sum P_i = P_1 + P_2 + .... [/tex]

where, P --> total pressure

Pi --> partial pressures of each gas

The desired answer is therefore Dalton's partial pressure law.

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The only additional step required in the calculation of pH for a weak base solution is the calculation of the concentration of hydroxide ions using the Kb value.

The equilibrium expression for the dissociation of a weak base, B, can be written as:

B + H₂O ⇌ BH+ + OH-

The equilibrium constant for this reaction is called the base dissociation constant, Kb. Like the acid dissociation constant, Ka, the Kb can be used to calculate the concentration of hydroxide ions in the solution.

The relationship between the Kb and the Ka of the conjugate acid of the weak base can be expressed as:

Kw = Ka × Kb

where Kw is the ion product constant for water, which is equal to 1.0 x 10⁻¹⁴ at 25°C.

By using the Kb value and the initial concentration of the weak base, the concentration of OH- can be calculated. Then, the pH of the solution can be determined using the same equation as for a weak acid:

[tex]pH= pKa + log(\frac{[A-]}{[HA]} )[/tex]

where A- is the conjugate base of the weak acid, and HA is the weak acid itself.

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a. The rate expression for the forward and backward reaction can be written as:

[tex]rate = k_{forward} [A]^m [B]^n[/tex]

[tex]rate = k_{backward} [C]^p [D]^q[/tex]

b. If the concentration of [tex]CO_2(aq)[/tex] is increased, the equilibrium would shift to the left to consume the additional [tex]CO_2\\[/tex].

c. At equilibrium, the concentrations of [tex]CO_2(aq)[/tex], A, and B would be higher than their initial concentrations, while the concentrations of C and D would be lower than their initial concentrations.

a) [tex]rate = k_forward [A]^m [B]^n[/tex]

where [tex]k_{forward[/tex] is the rate constant for the forward reaction, [A] and [B] are the concentrations of the reactants, and m and n are the reaction orders with respect to [A] and [B], respectively.

[tex]rate = k_backward [C]^p [D]^q[/tex]

where [tex]k_{backward[/tex] is the rate constant for the backward reaction, [C] and [D] are the concentrations of the products, and p and q are the reaction orders with respect to [C] and [D], respectively.

b. If the concentration of [tex]CO_2(aq)[/tex] is increased, the equilibrium would shift to the left to consume the additional [tex]CO_2[/tex]. This can be justified by Le Chatelier's principle, which states that a system at equilibrium will respond to any stress applied to it in a way that tends to counteract the stress and reestablish equilibrium.

In this case, increasing the concentration of [tex]CO_2(aq)[/tex] would be a stress that would upset the equilibrium, and the system would respond by shifting the equilibrium to the left, where [tex]CO_2(aq)[/tex] is consumed.

c. At equilibrium, the rate of the forward reaction is equal to the rate of the backward reaction. Therefore, the concentrations of the species at equilibrium can be calculated using the equilibrium constant, [tex]K_{eq[/tex]:

[tex]K_{eq} = ([C]^p [D]^q) / ([A]^m [B]^n)[/tex]

where the brackets denote the concentration of each species. At equilibrium, [tex]K_{eq}[/tex] is a constant, which means that the ratio of the product concentrations to the reactant concentrations is constant.

If the concentration of [tex]CO_2(aq)[/tex] is increased, the equilibrium would shift to the left, which would decrease the concentrations of the products (C and D) and increase the concentrations of the reactants (A and B).

Therefore, at equilibrium, the concentrations of [tex]CO_2(aq)[/tex], A, and B would be higher than their initial concentrations, while the concentrations of C and D would be lower than their initial concentrations.

However, the exact concentrations of each species at equilibrium would depend on the values of [tex]K_{eq}[/tex] and the initial concentrations of each species.

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The sulfuric acid solution has a concentration of 4.904 grams per liter (or dm3).

With the chemical formula H₂SO₄, sulfuric acid is a potent, colorless, odorless, and extremely corrosive mineral acid. It is also referred to as "vitriol oil." An extremely significant industrial chemical, sulfuric acid is used to make a variety of goods, including fertilizers, detergents, pigments, dyes, medicines, and explosives.

The formula below can be used to get the molar mass of sulfuric acid (H₂SO₄):

H₂SO₄'s molar mass is calculated as follows: 2 × (1.008 g/mol) + 32.06 g/mol + 4(16.00 g/mol) = 98.08 g/mol.

Hence, 98.08 g equals one mole of sulfuric acid.

We must multiply the molarity by the sulfuric acid's molar mass in order to translate the molarity (0.05 M) to grams per liter:

4.904 g/L = 0.05 mol/L x 98.08 g/mol

As a result, the sulfuric acid solution has a concentration of 4.904 grams per liter (or dm³).

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Full Question

an unknown compound has the formula . you burn 0.2236 g of the compound and isolate 0.5459 g of and 0.2235 g of . what is the empirical formula of the

Answer:

Explanation:

a

The number of formula units in a 1.86 mol sample of FeCl3 is 1.12 × 10²⁴.

Formula units are defined as the smallest repeating unit in an ionic compound.

They can be atoms, ions, or molecules depending on the type of compound. In order to find the number of formula units in a given amount of a substance, we need to use Avogadro's number, which is the number of particles in one mole of a substance (6.022 × 10²³ particles/mole).

To find the number of formula units in a 1.86 mol sample of FeCl3, we need to first determine the formula unit for FeCl3. The formula for FeCl3 is FeCl3, which means there is one iron atom and three chlorine atoms in each formula unit.

Next, we need to use Avogadro's number to convert from moles to formula units.

We can do this by multiplying the number of moles by Avogadro's number. 1.86 mol × 6.022 × 10²³ formula units/mole = 1.12 × 10²⁴ formula units.

Therefore, there are 1.12 × 10²⁴ formula units in a 1.86 mol sample of FeCl3.

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6.88 moles of helium and 3.12 moles of hydrogen are present in every 10 moles of gas in the combination.

The total pressure of the gas mixture can be found by adding the partial pressures of each gas:

Total pressure = partial pressure of helium + partial pressure of hydrogen

Total pressure = 428 mmHg + 193 mmHg

Total pressure = 621 mmHg

To find the mole fraction of each gas, we need to use the following formula:

Mole fraction = moles of gas / total moles of gas

We can find the moles of each gas using the ideal gas law:

PV = nRT

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

We can assume that the volume, temperature, and gas constant are constant, so we can simplify the equation to:

n = PV / RT

For helium:

n(He) = (428 mmHg)(V) / (R)(T)

For hydrogen:

n(H₂) = (193 mmHg)(V) / (R)(T)

The total number of moles of gas in the mixture is the sum of the moles of helium and hydrogen:

n(total) = n(He) + n(H₂)

To find the mole fraction of each gas, we can substitute the expressions for n(He), n(H₂), and n(total) into the formula:

Mole fraction of helium = n(He) / n(total)

Mole fraction of hydrogen = n(H₂) / n(total)

After simplifying and substituting the expressions, we get:

Mole fraction of helium = 0.688

Mole fraction of hydrogen = 0.312

Therefore, the mole fraction of helium in the mixture is 0.688 and the mole fraction of hydrogen is 0.312. This indicates that for every 10 moles of gas in the combination, 6.88 moles are helium and 3.12 moles are hydrogen.

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The percent yield of the given reaction is 71.11%.

Given, Magnesium (Mg) reacts with excess nitric acid (HNO3) to produce Magnesium nitrate (Mg(NO3)2) and hydrogen gas (H2).

[tex]Mg + 2HNO3 → Mg(NO3)2 + H2[/tex]

Molar mass of Mg = 24.31 g/mol

Molar mass of HNO3 = 63.01 g/mol

Molar mass of Mg(NO3)2 = 148.31 g/mol

Molar mass of H2 = 2 g/mol

The balanced chemical equation shows that 1 mol of Mg produces 1 mol of H2 gas.

So, the amount of hydrogen gas produced = 1.7 g

Moles of Mg reacted = mass/Mr = 40/24.31 = 1.65 moles

From the stoichiometric coefficients of the balanced chemical equation, 1 mole of Mg yields 1 mole of H2.

So, moles of H2 expected = 1.65 moles

Mass of H2 expected = 1.65 moles x 2 g/mol = 3.3 g

The percent yield of a reaction is the actual yield of the product obtained divided by the theoretical yield multiplied by 100.

So, Percent yield = (actual yield / theoretical yield) x 100Actual yield = 1.7 g

Theoretical yield = 3.3 g

Therefore, the percent yield of the given reaction is 71.11%.

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The melting point is the temperature at which solid changes into a liquid. It is a characteristic property of a substance and can be used to identify or characterize it.

The melting point depends on the strength of the intermolecular forces between the molecules of the substance. Stronger intermolecular forces result in higher melting points.

To measure the melting point of a substance, you need to heat it gradually and monitor its temperature and physical state. You can use a device called a melting point apparatus, which consists of a heating block, a thermometer, and a capillary tube. You place a small amount of the substance in the capillary tube and insert it into the heating block. You then adjust the heating rate and observe when the substance starts to melt and when it completely melts. The temperature range over which melting occurs is called the melting point range.

The melting point range can vary depending on several factors, such as the purity of the substance, the heating rate, and the accuracy of the thermometer. A pure substance usually has a sharp melting point, meaning that it melts within a narrow temperature range (usually less than 1°C). An impure substance usually has a broad melting point, meaning that it melts over a wide temperature range (usually more than 1°C). A faster heating rate can cause the temperature to rise faster than the substance can melt, resulting in a higher apparent melting point. A slower heating rate can allow the substance to melt more evenly, resulting in a lower apparent melting point. A faulty or imprecise thermometer can also affect the accuracy of the melting point measurement.

Therefore, to determine the exact range of temperatures over which melting occurs for a given substance, you need to use a pure sample, a reliable thermometer, and an optimal heating rate. You also need to repeat the measurement several times and take an average of your results. You may also compare your results with literature values or known standards to verify your accuracy.

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