what is the [h3o ] of a 5.9×10−9 m ba(oh)2 solution?

To calculate the amount of alum required for a 45 mg/d (million gallons per day) water treatment plant, we need to convert the units from ppm (parts per million) to lbs (pounds).

Convert ppm to lbs per million gallons:

25 ppm Al₃+ x 1 lb Al₂(SO₄)₃ / 1000 ppm Al₃+ = 0.025 lbs Al₂(SO₄)₃ per million gallons

0.025 lbs Al₂(SO₄)₃ per million gallons x 45,000,000 gallons per day = 1,125 lbs Al₂(SO₄)₃ per day

Therefore, a 45 mg/d water treatment plant would require approximately 1,125 lbs of alum per day at an optimum dosage of 25 ppm Al₃+.

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The creation of sulphur di-oxide and consumption of oxygen as well as the formation of Sulfur trioxideall contribute to the change in pressure. To calculate the moles of Sulfur trioxide produced, further data is therefore required.

Heat is produced when sulphur di-oxideis converted to Sulfur trioxide in an exothermic reaction. Vanadium pentoxide Vanadium Oxideserves as a catalyst for the reaction. Sulphur trioxide is then dissolved in a 94% solution of Sulfuric acid to produce oleum, commonly known as fuming sulfuric acid (Disulfuric acid ).

A crucial stage in the synthesis of sulfuric acid is the catalytic oxidation of sulphur di-oxideto Sulfur trioxide. It generates the Sulfur trioxide needed to make Sulfuric acid(l) later. Oxidation of sulphur di-oxide+0.5oxygen to Sulfur trioxide is always carried out by circulating warm sulphur di-oxide-bearing gas across horizontal catalyst beds made of Vanadium, pottasium , sodium , cesium , sulphur , oxygen, and silicon di-oxide.

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The infrared absorption for the stretching motion of internal alkynes is rarely observed because they do not have hydrogens.

Hydrogens that participate in the stretching motion, and a change in dipole is required for infrared absorption to occur.  Infrared absorption requires a change in dipole moment, which occurs when there is a change in the distribution of electron density in the molecule. In the case of internal alkynes, the carbon-carbon triple bond has a symmetric distribution of electron density, which does not change during stretching. Therefore, there is no dipole moment change and no infrared absorption is observed for the stretching motion of internal alkynes. Therefore, internal alkynes are not able to exhibit infrared absorption for their stretching motion.

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Diagrams C best represents the ions that are present in significant concentrations in the solution.

An atom or molecule is said to be an ion if more than one of its valence electrons have been gained or lost, giving it an overall positive and negative electrical charge.

In other terms, a chemical species has an unbalanced ratio of protons, which are positively charged particles to electrons (negatively charged particles). Diagrams C best represents the ions that are present in significant concentrations in the solution.

Therefore, the correct option is option A.

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Your question is incomplete but most probably your full question was,  

The solubility of the unknown salt is 20.79 g/100 g water.

To calculate the solubility, divide the mass of the salt (7.743 g) by the mass of water (37.21 g) and multiply by 100. This gives the solubility in g/100 g water, which is 20.79 g/100 g water. Solubility represents the maximum amount of a solute that can dissolve in a solvent at a given temperature and pressure, and it is expressed as a concentration. In this case, the solubility of the salt in water is 20.79 g/100 g water at the given conditions.

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The freezing point depression of the solution can be used to determine the number of particles (ions and/or molecules) present in the solution. In this case, since oxalic acid does not completely dissociate in water,

we assume that it is a nonelectrolyte and will not dissociate into ions. Therefore, the expected depression of the freezing point would be equal to the product of the freezing point depression constant (Kf) and the molality (mol/kg) of the solute. By calculating the molality and comparing it with the expected depression, we can we assume that it is a nonelectrolyte and will not dissociate into ions.  determine the percent dissociation/ionization of oxalic acid. The calculated percent ionization of oxalic acid in this solution is approximately 26.8%, which is option (B).

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Oxidizing an alcohol group (CH₂OH) at the end of a carbon chain to a carboxylic acid (COOH) is b) A two-electron oxidation. This means that the alcohol group loses two electrons during the oxidation reaction, resulting in the formation of a carboxylic acid.

The conversion of an alcohol group (CH₂OH) at the end of a carbon chain to a carboxylic acid (COOH) involves the removal of two hydrogen atoms and the addition of an oxygen atom, which is a two-electron oxidation. This process is also known as the oxidation of primary alcohol to a carboxylic acid. In contrast, a one-electron oxidation involves the removal of one electron from a molecule, while a three-electron oxidation involves the transfer of three electrons and a four-electron oxidation involves the transfer of four electrons.

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The coordination number of a complex ion refers to the number of ligands that are attached to the central metal ion. In the case of the complex ion cu(nh3)62, there are six ammonia (NH3) ligands attached to the central copper (Cu) ion. This means that the coordination number of the complex ion is six.

The ammonia ligands in the complex ion cu(nh3)62 are coordinate covalent bonds, meaning that they share a pair of electrons with the copper ion. These bonds create a three-dimensional structure around the copper ion, with the six ammonia ligands arranged in an octahedral shape around the central ion.

The coordination number is an important factor in determining the properties and reactivity of complex ions. It can affect the stability of the complex, its ability to undergo reactions, and its overall chemical behavior. Understanding the coordination number of a complex ion is therefore crucial in understanding its chemistry and its applications in various fields such as medicine, industry, and materials science.

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The moles must be multiplied by the stoichiometric coefficient of NF3

5,70 mol × 2 = 11,4 mol

The mass is 82.5 g, rounded to three significant numbers. The correct response is B. 82.5 g.

The ratio between the atomic mass unit and gramme mass unit sizes affects the number in a mole, or Avogadro's number. In contrast to the mass of one hydrogen atom, which is approximately one unit, one mole of hydrogen atoms weighs about one gramme.

Atoms per gramme One mole of an element has a mass equal to its atomic weight in grammes. a gramme-sized molecule It is referred to as a material's molecular mass, or the number of grammes of that substance.

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Slow cooling from molten counties promotes crystal formation; these are the factors that influence a polymer's crystallinity.

crystal word MINERAL any solid composed of small molecules or atoms positioned in a regular pattern: Light is converted into electrical energy by single crystals begun to grow in a laboratory. A crystal chandelier earrings is a clear, truthful rock that's employed as jewelry.

"Crystals are minerals that contain energy, and because we are made of energy, researchers can exchange energy the with crystal when designers work with it." According to Saujani, crystals serve to enhance the functionality of many ordinary objects such as watches, medical instruments, and lasers.

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Answer:

The balanced chemical equation shows that 4 moles of ammonia react with 5 moles of oxygen. You have 4.6 moles of oxygen, which is more than what is needed to react with 4 moles of ammonia. Therefore, the limiting reactant is ammonia. You can use stoichiometry to calculate the number of moles of ammonia needed to react with 4.6 moles of oxygen.

4 NH3(g) + 5 O2(g) → 4 NO(g) + 6 H2O(g)

4/5 moles of O2 reacts with 4 moles of NH3.

4.6 moles of O2 reacts with (4/5) x 4.6 moles of NH3.

Therefore, 3.68 moles of NH3 will react with 4.6 moles of O2.

Explanation:

In the Friedel-Crafts alkylation reaction, an alkyl group is introduced into an aromatic ring such as toluene.

Predict the products of the Friedel-Crafts alkylation reaction with toluene.

Step 1: Identify the alkylating agent. In this case, we need to know the alkyl halide or alkyl group you want to introduce into the toluene.

Step 2: Consider the reactivity of the toluene. Since the toluene has a methyl group on the aromatic ring, it is an activating group and directs further substitutions to the ortho (2-) and para (4-) positions.

Step 3: Based on the alkyl group and the ortho/para-directing nature of the methyl group, predict the products of the Friedel-Crafts alkylation reaction. If multiple products are possible due to ortho/para substitution, draw them all.

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At 25°C, g° = 457.14 kJ/mol and Kp = 1.15 x 10⁻²⁴.

For the reaction KP is 1103 atm1 at 25 °C (g). Nitric oxide is present in a flask at 0.02 atm and 25 °C. If 1% of the Nitric oxide is to be changed to Nitrosyl chloride at equilibrium, x105 moles of chlorine must be added. The reaction's equilibrium temperature at which it occurs.

ΔG° = ΣΔG°(products) - ΣΔG°(reactants)

The values for ΔG°(f) for each compound are:

ΔG°(f) H2O(g) = -228.57 kJ/mol

ΔG°(f) H2(g) = 0 kJ/mol

ΔG°(f) O2(g) = 0 kJ/mol

Using these values, we can calculate:

ΔG° = 2(0 kJ/mol) - 2(0 kJ/mol) - 2(-228.57 kJ/mol) = 457.14 kJ/mol

Next, we can use the relationship between ΔG° and Kp to calculate Kp:

ΔG° = -RT ln(Kp)

where R is the gas constant (8.314 J/(mol·K)), T is the temperature in kelvin (25°C = 298 K).

457.14 kJ/mol = -8.314 J/(mol·K) × 298 K × ln(Kp)

Solving for Kp:

ln(Kp) = -54.885

Kp = e(-54.885)

Kp = 1.15 x 10⁻²⁴

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The free energy change under standard condition is -117.96 kJ/mol and the free energy change for the reaction under non-standard conditions is -106.57 kJ/mol.

To calculate the standard free energy change, we use the following equation:

ΔG° = ΣΔGf°(products) - ΣΔGf°(reactants)

where ΔGf° is the standard free energy of formation of a compound. We can find the values for ΔGf° in tables of thermodynamic data.

Using the given equation, we can find the ΔG° of the reaction as:

ΔG° = [2ΔGf°(COCl2)] - [ΔGf°(CO2) + ΔGf°(CCl4)]

From the table of standard free energy of formation (ΔGf°) values:

ΔGf°(CO2) = -394.36 kJ/mol

ΔGf°(CCl4) = -95.70 kJ/mol

ΔGf°(COCl2) = -177.16 kJ/mol

Thus, the standard free energy change is:

ΔG° = [2(-177.16 kJ/mol)] - [(-394.36 kJ/mol) + (-95.70 kJ/mol)]

ΔG° = -117.96 kJ/mol

For the reaction under non-standard conditions, we use the following equation:

ΔG = ΔG° + RT ln(Q)

where R is the gas constant, T is the temperature (in Kelvin), and Q is the reaction quotient. Q can be found using the given pressures of the reactants and products.

Q =[tex](P COCl_2)^2 / (P CO_2[/tex] ×[tex]P CCl_4)[/tex]

a) At standard conditions, the reaction quotient is:

Q = (1 atm)² / (1 atm × 1 atm) = 1

Thus, the free energy change under standard conditions is simply the standard free energy change:

ΔG = ΔG° = -117.96 kJ/mol

b) For the given pressures, the reaction quotient is:

Q = (0.744 atm)² / (0.112 atm × 0.174 atm) = 20.92

Assuming room temperature (25°C or 298 K), we can calculate the free energy change:

ΔG = ΔG° + RT ln(Q)

ΔG = -117.96 kJ/mol + (8.314 J/molK × 298 K × ln(20.92))

ΔG = -106.57 kJ/mol

Therefore, the free energy change for the reaction under non-standard conditions is -106.57 kJ/mol and ΔG under standard condition is -117.96 kJ/mol.

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Section 8: Exposure Controls/Personal Protection tells how to protect yourself.

The acronym SDS refers to a Safety Data Sheet, which is an extensive document that outlines critical data about hazardous substances or mixtures. This information includes the chemical and physical properties of the substance, potential dangers associated with it, safe handling and storage procedures, emergency response measures, and other relevant information. The purpose of SDSs is to ensure the secure use of hazardous chemicals in workplaces while adhering to legal requirements in various countries. Typically, SDSs are organized into 16 sections according to the Globally Harmonized System (GHS) for Classification and Labelling of Chemicals.

Section 8: Exposure Controls/Personal Protection

When it comes to safeguarding oneself against hazardous substances, personal protective equipment (PPE) such as gloves, respirators, and eye protection are crucial. This section provides detailed information on the different types of PPE that should be used for adequate protection. Additionally, it outlines other control measures like work practices and ventilation that should be implemented to minimize exposure risks.

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To determine the number of compounds with the formula C4H11N that contain a 2 degree amine and a single 2 degree carbon atom, we need to consider the possible structures of compounds with this formula.

Therefore, the answer is (b) 1.

To determine the number of compounds with the formula C4H11N that contain a 2 degree amine and a single 2 degree carbon atom, we need to consider the possible structures of compounds with this formula.

There are three isomers of C4H11N with a 2 degree amine:

1. N,N-dimethylethylamine (also known as tert-butylamine)
2. N-methyl-N-(2-propanyl)amine (also known as sec-butylamine)
3. N,N-diethylmethanamine (also known as diethylmethylamine)

Out of these three isomers, only one of them has a single 2 degree carbon atom: N-methyl-N-(2-propanyl)amine (sec-butylamine).

Therefore, the answer is (b) 1.

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Therefore, the value of dy/dx for the given equation is (-3x^2 + 38x - 3) / (x^2 - 5x - 1)^2.

To calculate dy/dx of the given equation, we can use the quotient rule. Let u = x^2 - 8x - 1 and v = x^2 - 5x - 1. Then:

y = u/v

Using the quotient rule, we get:

dy/dx = (v * du/dx - u * dv/dx) / v^2

where:

du/dx = 2x - 8
dv/dx = 2x - 5

Substituting these values, we get:

dy/dx = [(x^2 - 5x - 1) * (2x - 8) - (x^2 - 8x - 1) * (2x - 5)] / (x^2 - 5x - 1)^2

Simplifying the numerator, we get:

dy/dx = (-3x^2 + 38x - 3) / (x^2 - 5x - 1)^2

Therefore, the value of dy/dx for the given equation is (-3x^2 + 38x - 3) / (x^2 - 5x - 1)^2.

To calculate dy/dx for the given function y = (x^2 + 8x - 1)/(x^2 + 5x - 1), we will use the quotient rule. The quotient rule states that if y = u/v, then dy/dx = (v(du/dx) - u(dv/dx))/v^2.

In this case, let u = x^2 + 8x - 1 and v = x^2 + 5x - 1.

First, find du/dx:
du/dx = d(x^2 + 8x - 1)/dx = 2x + 8

Next, find dv/dx:
dv/dx = d(x^2 + 5x - 1)/dx = 2x + 5

Now apply the quotient rule:
dy/dx = [(x^2 + 5x - 1)(2x + 8) - (x^2 + 8x - 1)(2x + 5)] / (x^2 + 5x - 1)^2

That's the derivative of y with respect to x, and you don't need to expand it further.

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the labels which correspond with the more stable resonance structure are:  B. Secondary, C. Tertiary, D. Allylic, and E. Benzylic.

To determine which labels correspond with the more stable resonance structure, we need to evaluate each term:
A. Primary: Primary carbocations are less stable than secondary or tertiary carbocations due to less hyperconjugation. So, this option does not correspond to a more stable resonance structure.

B. Secondary: Secondary carbocations are more stable than primary carbocations but less stable than tertiary carbocations due to moderate hyperconjugation. This option can be considered as a relatively stable resonance structure.

C. Tertiary: Tertiary carbocations are the most stable among primary, secondary, and tertiary carbocations because of greater hyperconjugation. This option corresponds to a more stable resonance structure.

D. Allylic: Allylic carbocations are stabilized by resonance, as the positive charge can be delocalized between two carbon atoms. This option corresponds to a more stable resonance structure.

E. Benzylic: Benzylic carbocations are also stabilized by resonance, as the positive charge can be delocalized over the entire benzene ring. This option corresponds to a more stable resonance structure.

Your answer: B. Secondary, C. Tertiary, D. Allylic, and E. Benzylic.

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To find the molar mass of the gaseous compound, we need to use the ideal gas law equation:
PV = nRT
where P is the pressure (1.62 atm), V is the volume (1 L, since the density is given in g/L), n is the number of moles, R is the gas constant (0.0821 L atm/mol K), and T is the temperature in Kelvin (296.65 K, since 23.5°C = 296.65 K).

First, we need to find the number of moles of the gas:

n = PV/RT
n = (1.62 atm)(1 L)/(0.0821 L atm/mol K)(296.65 K)
n = 0.0653 mol

Next, we can use the definition of molar mass (mass per mole) to find the molar mass of the gas:

Molar mass = mass/number of moles

Since we know the density of the gas (1.64 g/L), we can use it to find the mass of 1 mole of the gas:

mass = density x volume = 1.64 g/L x 1 L = 1.64 g

Therefore, the molar mass of the gas is:

Molar mass = mass/number of moles = 1.64 g/0.0653 mol = 25.1 g/mol

So the molar mass of the gaseous compound is approximately 25.1 g/mol.

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To find the molar mass of the gaseous compound, we need to use the ideal gas law equation:
PV = nRT
where P is the pressure (1.62 atm), V is the volume (1 L, since the density is given in g/L), n is the number of moles, R is the gas constant (0.0821 L atm/mol K), and T is the temperature in Kelvin (296.65 K, since 23.5°C = 296.65 K).

First, we need to find the number of moles of the gas:

n = PV/RT
n = (1.62 atm)(1 L)/(0.0821 L atm/mol K)(296.65 K)
n = 0.0653 mol

Next, we can use the definition of molar mass (mass per mole) to find the molar mass of the gas:

Molar mass = mass/number of moles

Since we know the density of the gas (1.64 g/L), we can use it to find the mass of 1 mole of the gas:

mass = density x volume = 1.64 g/L x 1 L = 1.64 g

Therefore, the molar mass of the gas is:

Molar mass = mass/number of moles = 1.64 g/0.0653 mol = 25.1 g/mol

So the molar mass of the gaseous compound is approximately 25.1 g/mol.

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To determine the possible identity of the unknown white solid when 6M sodium hydroxide is added, we can consider the following options: Mg(OH)2, Al2(SO4)3, BaCO3, and Ag-Br.

The unknown solid is likely to be Al2(SO4)3, and here's why:

1. Mg(OH)2: Sodium hydroxide (NaOH) is a strong base, and it will not dissolve an already existing hydroxide like Mg(OH)2.
2. Al2(SO4)3: When NaOH is added to Al2(SO4)3, a double displacement reaction occurs, producing Al(OH)3 and Na2SO4. Since Al(OH)3 is soluble in excess NaOH, the solid will dissolve. This is a possible identity for the solid.
3. BaCO3: Sodium hydroxide does not dissolve carbonates like BaCO3.
4. Ag-Br: Sodium hydroxide does not dissolve silver halides like Ag-Br.

Thus, based on the given options, the unknown white solid is likely to be Al2(SO4)3, as it dissolves when 6M sodium hydroxide is added.

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The correct answer is: unitless. The units for the reaction quotient Q depend on the units of the concentrations used in the calculation.

If the concentrations are expressed in units of molarity (M), then the units for Q are unitless (no units).

However, if the concentrations are expressed in different units (e.g. mol/L, mmol/L, etc.), then the units for Q will depend on the specific units used.

The reaction quotient Q is a mathematical expression that relates the concentrations of the reactants and products in a chemical reaction to their standard-state concentrations at a specific point in time. It is defined as the product of the concentrations of the reactants raised to their stoichiometric coefficients divided by the product of the concentrations of the products raised to their stoichiometric coefficients.

Q can be used to predict the direction of a reaction and whether it will proceed to form more reactants or more products. It is compared to the equilibrium constant (K) to determine if the reaction is at equilibrium or not. If Q is less than K, the reaction will proceed in the forward direction to form more products. If Q is greater than K, the reaction will proceed in the reverse direction to form more reactants. If Q is equal to K, the reaction is at equilibrium.

The units of Q depend on the units used for the concentrations of the reactants and products. However, in the commonly used units of molarity (M), Q is unitless (no units), because the units of the concentration terms cancel out when they are raised to their stoichiometric coefficients and then multiplied or divided.

It is important to note that while the units of Q may change depending on the units used for concentration, the unit of K is always unitless, because it is a ratio of concentrations at equilibrium.

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The major organic product of this reaction is not specified, as the reaction conditions provided are incomplete.

The reagent list includes [tex]KMnO_{4}[/tex], which is an oxidizing agent, and heat, which suggests a potential elimination or rearrangement reaction.

However, without a starting material or more specific reaction conditions, it is impossible to determine the major organic product.

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The balanced chemical eqautions are shown below:

1. Al (s) + 3HCI (aq) → AlCl3 (aq) + 3H2(g)

2. 2K (s) + 2H2O (1) → 2KOH (aq) + H2 (g)

3. 3Mg (s) + N2 (g) → Mg3N2 (s)

4. 2NaNO3 (s) → 2NaNO2 (s) + O2(g)

5. Ca(OH)2 (s) + 2H3PO4 (aq) → Ca3(PO4)2 (s) + 6H2O (1)

6. C3H8 (g) + 5O2 (g) → 3CO2 (g) + 4H2O (g)

7. 4NH3 (g) + 5O2 (g) → 4NO (g) + 6H2O (g)

8.  N2 (g) + 3H2 (g) → 2NH3 (g)

9. Na2CO3 (s) + 2HCI (aq) → 2NaCl (aq) + CO2 (g) + H2O (1)

10. C3H5OH (1) + 9O2 (g) → 3CO2 (g) + 4H2O (g)

11. 2NH3 (g) + 3CuO (s) → N2 (g) + 3Cu (s) + 3H2O (g)

Step 1. count the atoms on each side.

step 2. change the coefficient of one of the substances.

step 3.  count the numbers of atoms again and, from there,

step 4. repeat steps two and three until you have  balanced the equation.

A chemical equation is described as the symbolic representation of a chemical reaction in the form of symbols and chemical formulas.

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The Lewis structure for sulfur trioxide (SO3) molecule can be drawn as follows:

           O

         //

   O = S = O

         \\

           O

The two additional resonance structures are:

           O

        /  \\

   O - S = O

        \  //

           O

           O

         //

   O = S - O

        //

           O

In this Lewis structure, sulfur is the central atom and is bonded to three oxygen atoms through double bonds. Each oxygen atom has two lone pairs of electrons.

Sulfur trioxide is a resonance hybrid, meaning it can have multiple resonance structures that contribute to the overall structure of the molecule. The other resonance structures that satisfy the octet rule can be drawn by moving the double bond around each oxygen atom.

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Answer: C) 112g of Fe contains the largest number of atoms.

Explanation: When you convert the grams of the elements in the question to the number of particles in 1 mole from there you would be able to determine which choice actually contains more number of atoms than the rest.

You first divide the grams given to you by the atomic mass and then multiply that number by Avogadro's number which is 6.022 x 10^23. As shown in the image.

The molar mass of the gas is 92.5 g/mol.

The molecular formula of the gas is CH₁Cl₃.

a) Use the ideal gas law to solve for the molar mass of the gas:

PV = nRT

P = 427 torr = 0.559 atm, V = 600 mL = 0.600 L, n = 1.430 g/M mol, R = 0.0821 L atm/mol K, and T=70°C = 343 K.

Plug these values into the equation and solve for M:

(0.559 atm)(0.600 L) = 1.430 g/M ⋅ (0.0821 L atm/mol K)(343 K)

M = (0.559 atm)(0.600 L)(0.0821 L atm/mol K)(343 K) / 1.430 g​ = 92.5 g/mol

b) Find the empirical formula by converting the percentages of each element into moles and then dividing each mole value by the smallest mole value.

The percentages of each element are:

Carbon: 10.1%

Hydrogen: 0.84%

Chlorine: 89.1%

The molar masses of each element are:

Carbon: 12.01 g/mol

Hydrogen: 1.008 g/mol

Chlorine: 35.45 g/mol

Convert the percentages of each element into moles by dividing the percentage by the molar mass of the element:

Carbon: 10.1%/12.01 g/mol = 0.84 mol

Hydrogen: 0.84%/1.008 g/mol = 0.83 mol

Chlorine: 89.1%/35.45 g/mol = 2.51 mol

Then divide each mole value by the smallest mole value, which is 0.83 mol:

Carbon: 0.84 mol/0.83 mol = 1

Hydrogen: 0.83 mol/0.83 mol = 1

Chlorine: 2.51 mol/0.83 mol = 3

The empirical formula is therefore CH₁Cl₃.

The molecular formula is a multiple of the empirical formula. We can find the molecular formula by multiplying the empirical formula by the molar mass of the gas and dividing by the molar mass of the empirical formula.

The molar mass of the gas is 92.5 g/mol. The molar mass of the empirical formula is 50.5 g/mol.

The molecular formula is therefore 1.83⋅(CH₁Cl₃)=CHCl₃

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When the rate of forward and backward reactions in a chemical reaction are equal, equilibrium concentration occurs. The products and reactants remain unchanged at the same time. The correct option is C.

The hydrogen ion concentration in the solution is displayed inversely on the pH scale, which is logarithmic. More exactly, the pH of a solution is equal to its hydrogen ion concentration in moles per liter divided by its negative logarithm to base 10.

pH = -log[H₃O⁺]

[tex][H_{3} O^{+} ]=10^{-pH}[/tex]

[tex][H_{3} O^{+} ]=10^{-1.65}[/tex]

[H₃O⁺] = 0.022

The dissociation of HNO₂ is:

HNO₂ ⇌ H₃O⁺ + NO₂⁻

Kₐ = [H₃O⁺][NO₂⁻] / [HNO₂]

We assumed the initial concentration of HNO₂ to be x, and the equilibrium concentration of H₃O⁺ and NO₂⁻ will also be x.

4.5 × 10⁻⁴ = (0.022)(x) / x

4.5 × 10⁻⁴ = 0.022

The equilibrium concentration of HNO₂ does not depend on the initial concentration and is solely determined by the value of Ka.

The equilibrium concentration of nitrous acid (HNO₂) in the solution is approximately 0.022 M.

Thus the correct option is C.

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The identity of the ion is Be^3+.

Based on the given information, we know that the frequency of the n = 3 to n = 2 transition for the unknown hydrogen-like ion is 16 times greater than that of the hydrogen atom.

The frequency of this transition for hydrogen is known to be 6.56 x 10^14 Hz.

Using the formula for calculating the frequency of an electron transition in a hydrogen-like ion,

we can solve for the atomic number (Z) of the unknown ion:  frequency = R * (Z^2 / n^2) * (1/n_final^2 - 1/n_initial^2)
where R is the Rydberg constant, n_initial = 3, and n_final = 2.

Substituting in the values we know: 6.56 x 10^14 Hz * 16 = R * (Z^2 / 3^2) * (1/2^2 - 1/3^2)
Solving for Z, we get: Z^2 = 16 * 6 * (1/4 - 1/9) = 56

Therefore, the atomic number of the unknown ion is Z = 7.

This corresponds to nitrogen, which has 7 protons in its nucleus.

Therefore, the identity of the ion is nitrogen ion (N+).

The frequency of the n = 3 to n = 2 transition for an unknown hydrogen-like ion is 16 times that of the hydrogen atom.

To find the identity of the ion, we can use the Rydberg formula for frequency: f = R_H * Z^2 * (1/n1^2 - 1/n2^2)
Where,

f is the frequency,

R_H is the Rydberg constant for hydrogen,

Z is the atomic number,

and n1 and n2 are the initial and final energy levels, respectively.

For the unknown ion, the frequency is 16 times the frequency for hydrogen: f_ion = 16 * f_H
We can now set up a proportion: f_ion / f_H = (R_H * Z_ion^2 * (1/3^2 - 1/2^2)) / (R_H * Z_H^2 * (1/3^2 - 1/2^2))
Since f_ion = 16 * f_H:
16 = Z_ion^2 / Z_H^2

For hydrogen, Z_H = 1. Therefore: 16 = Z_ion^2
Taking the square root of both sides: Z_ion = 4

The atomic number of the ion is 4, which corresponds to beryllium. Therefore, the identity of the ion is Be^3+.

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ΔH∘ = -82.8 kJ; ΔS∘ = 105.4 J/K; ΔG∘ = -61.9 kJ

The given reaction is BaCO3(s)→BaO(s)+CO2(g). Using the data in Appendix C, we can find that ΔH∘ is -82.8 kJ, ΔS∘ is 105.4 J/K, and ΔG∘ is -61.9 kJ at 25 °C. ΔH∘ represents the change in enthalpy, ΔS∘ represents the change in entropy, and ΔG∘ represents the change in Gibbs free energy at standard conditions (25 °C and 1 atm pressure).

The negative values of ΔH∘ and ΔG∘ indicate that the reaction is exothermic and spontaneous, respectively, at 25 °C.

ΔH∘ = -1586.0 kJ; ΔS∘ = -117.0 J/K; ΔG∘ = -1519.0 kJ

Explanation: The given reaction is 2P(g)+10HF(g)→2PF5(g)+5H2(g). Using the data in Appendix C, we can find that ΔH∘ is -1586.0 kJ, ΔS∘ is -117.0 J/K, and ΔG∘ is -1519.0 kJ at 25 °C.

The negative values of ΔH∘ and ΔG∘ indicate that the reaction is exothermic and spontaneous, respectively, at 25 °C. The negative value of ΔS∘ indicates a decrease in entropy during the reaction, which is not favorable for spontaneity.

ΔH∘ = 0 kJ; ΔS∘ = 77.9 J/K; ΔG∘ = -243.8 kJ

Explanation: The given reaction is K(s)+O2(g)→KO2(s). Using the data in Appendix C, we can find that ΔH∘ is 0 kJ, ΔS∘ is 77.9 J/K, and ΔG∘ is -243.8 kJ at 25 °C.

The ΔH∘ value of 0 kJ indicates that the reaction is thermally balanced, and the positive value of ΔS∘ indicates an increase in entropy during the reaction. However, the negative value of ΔG∘ indicates that the reaction is not spontaneous at 25 °C, as it requires energy input to proceed.

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