43.5-grams of barium sulfate is formed from the reaction of barium nitrate and sodium sulfate. how many moles of sodium sulfate reacted?

The mole fraction, molality, and molarity of lithium chloride in the solution can be calculated using the given information. To begin, we can calculate the mass of LiCl present in 100 g of the solution.

Mass of LiCl in 100 g of the solution = 27 g

To calculate the molality, we can use the formula:

Molality = (moles of solute) / (mass of solvent in kg)

We can assume that the density of the solution is equal to that of water, which is 1 g/mL. Therefore, the mass of 100 mL of the solution is 100 g. The mass of the solvent in 100 g of the solution is:

Mass of solvent = Mass of solution - Mass of solute
= 100 g - 27 g
= 73 g

Converting the mass of the solvent to kg:

Mass of solvent = 73 g / 1000
= 0.073 kg

To calculate the moles of LiCl, we can use the formula:

Moles of LiCl = Mass of LiCl / Molar mass of LiCl
= 27 g / 42.39 g/mol
= 0.637 mol

Therefore, the molality of LiCl in the solution is:

Molality = 0.637 mol / 0.073 kg
= 8.73 mol/kg

To calculate the mole fraction, we can use the formula:

Mole fraction = (moles of LiCl) / (moles of LiCl + moles of water)

The mass of 73 g of water is:

Mass of water = Volume of water × Density of water
= 73 mL × 1 g/mL
= 73 g

The mass of the solution is:

Mass of solution = Mass of LiCl + Mass of water
= 27 g + 73 g
= 100 g

The moles of water can be calculated using the mass of water and the molar mass of water:

Moles of water = Mass of water / Molar mass of water
= 73 g / 18.02 g/mol
= 4.05 mol

Therefore, the mole fraction of LiCl in the solution is:

Mole fraction = 0.637 mol / (0.637 mol + 4.05 mol)
= 0.136

To calculate the molarity, we can use the formula:

Molarity = (moles of solute) / (volume of solution in liters)

The volume of 100 g of the solution can be calculated using its density:

Volume of solution = Mass of solution / Density of solution
= 100 g / 1.127 g/mL
= 88.7 mL

Converting the volume to liters:

Volume of solution = 88.7 mL / 1000
= 0.0887 L

Therefore, the molarity of LiCl in the solution is:

Molarity = 0.637 mol / 0.0887 L
= 7.18 M

Thus, the molality, mole fraction, and molarity of LiCl in the solution are 8.73 mol/kg, 0.136, and 7.18 M, respectively.

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Answer:

Explanation:

Atoms of strontium and iodine would form an ionic bond. This is because strontium is a metal and iodine is a nonmetal, and metals and nonmetals typically form ionic bonds.

The formula for the compound formed between strontium and iodine would be SrI2. This is because strontium has a +2 charge and iodine has a -1 charge, so two iodine atoms are needed to balance the charge of one strontium ion.

The name of the compound is strontium iodide.

Answer:

0.118 mol of gas and has a volume of 2.57 l . part a if an additional 0.122 mol of gas is added to the balloon (at the same temperature and pressure), what will its final volume be

Explanation:

688

The volume in liters of a 0.020mm barium chlorate solution that contains 375 mmol of barium chlorate is 18.75 L.

To calculate the volume of barium chlorate in liters, we can use the formula of concentration. The formula of concentration is

C = n/V

where

C = Concentration

n = moles of the solute

V = volume of the solution

To calculate the volume of the solution in liters, we need to first calculate the moles of the solute ([tex]BaCl_{2}[/tex]). We are given moles of [tex]BaCl_{2}[/tex] = 375 mmol

Now, n = 375 mmol. So, by using the formula of concentration:

C = n/VC = 0.020 mm

V = n/CV

= 375 mmol/0.020 mmV

= 18750 mL

We know that 1 L = 1000 mL. So, the volume of the solution in liters

= 18750/1000L

= 18.75 L

Thus, the volume of the solution in liters is 18.75 L.

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The amino acid side chain least likely to be a nucleophile in covalent catalysis is D. F (phenylalanine).

Covalent catalysis occurs when a chemical reaction is facilitated by a temporary covalent bond between the enzyme and the substrate.

In this mechanism, a nucleophile on the enzyme side chain attacks the substrate, forming a covalent intermediate that is then broken down to form the product.

A nucleophile is a chemical species that donates a pair of electrons to form a chemical bond. In the context of covalent catalysis, the nucleophile on the enzyme side chain is typically a reactive group such as a thiol, hydroxyl, or amino group.

Phenylalanine, which has a phenyl side chain, is not typically considered a nucleophile in covalent catalysis. This is because the phenyl group is nonpolar and lacks a functional group that can act as a nucleophile.

In contrast, amino acids such as cysteine, serine, and histidine, which have thiol, hydroxyl, and imidazole side chains, respectively, are commonly involved in covalent catalysis as nucleophiles.

Therefore, option D is correct, and F (phenylalanine) is the amino acid side chain least likely to be a nucleophile in covalent catalysis.

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Phenolphthalein is a commonly used indicator in acid-base titrations because it changes color at a pH around 8.2-10.0.

Phenolphthalein itself is a weak acid and has a specific equilibrium between its acidic and basic forms. When added to an acidic solution, it is predominantly in the acidic form and colorless. As the titration progresses and the solution becomes more basic, the equilibrium shifts towards the basic form which is pink.

The amount of indicator used in the titration should be kept to a minimum to avoid affecting the accuracy of the results. Using too much indicator can affect the stoichiometry of the reaction, leading to inaccurate results.

Therefore, only a small amount of phenolphthalein, typically two drops, is used to minimize its impact on the titration while still providing a clear visual indication of the endpoint.

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The statement "it is fine to enter an area where there is a chemical spill as long as you are very careful" is False. because A chemical spill refers to the uncontrolled release of one or more hazardous substances.

A chemical spill refers to the uncontrolled release of one or more hazardous substances, which can include liquids, gases, or solids, which might pose a significant threat to the environment and human health. The person responsible for a chemical spill is responsible for managing, containing, and cleaning up the hazardous material to prevent environmental or public health damage.

Following a chemical spill, there is a protocol to be followed to guarantee that no harmful substances have been released into the environment that may cause harm to the public. The presence of toxic chemicals in a confined area poses a significant threat to human health, making it hazardous to enter that location. Even if the spill is small, entering an area where a chemical spill has occurred is hazardous. The contamination may disperse through the air, and you may inhale it or the substance may adhere to your clothing and skin, putting you at risk. You should not go near a chemical spill if you are not wearing appropriate protective gear. This is because it is not advisable to enter an area where there is a chemical spill.

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The binding energy for а vаlence electron in gаllium is expected to be lower thаn thаt of а vаlence electron in cаlcium. This is becаuse of the presence of more protons in cаlcium аs compаred to gаllium.

А vаlence electron is thаt electron thаt is present in the outermost shell of аn аtom. Its energy level depends on the number of protons in the аtom's nucleus. The greаter the number of protons, the greаter the binding energy of the vаlence electron would be. Binding energy refers to the аmount of energy required to remove аn electron from аn аtom.

For vаlence electrons, the binding energy is аlwаys less thаn the energy required to remove inner electrons. The reаson behind this is thаt inner electrons аre closer to the nucleus, аnd hence, аre more strongly bound to it. Whereаs, vаlence electrons аre further аwаy, аnd their binding energy is weаker.

In the given cаse, cаlcium hаs 20 protons in its nucleus, whereаs gаllium hаs only 31. Hence, it is expected thаt the binding energy for а vаlence electron in cаlcium would be higher thаn thаt of gаllium, due to the lаrger number of protons.

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Only a gas is present at F

Vaporization occurs at 700 K

Mixture of solid and liquid is present at B - C

Gas would turn into liquid beyond F

It starts to freeze at - 100 K

There is only liquid at C - D

The heating curve is a graphical representation of the changes in the temperature of a substance as heat is added to it. It shows how the temperature of a substance changes as it is heated at a constant rate, while also indicating the phase changes that occur as the substance reaches certain temperature thresholds.

The heating curve typically has three main segments, which correspond to the three main phases of matter: solid, liquid, and gas. Each segment represents a period of time during which the temperature of the substance remains constant while the substance undergoes a phase change.

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The star is moving by a velocity of 3 *10^{5}.

The formula for the Doppler shift is given by

f2/f1 = (c-v)/c,

where c is the speed of light, v is the velocity of the moving object, and f1 and f2 are the emitted and received frequencies of light, respectively.

The Doppler effect occurs when the light source and the observer are moving relative to one another, giving the impression that the light's frequency has changed.

The Doppler effect alters the frequency of light from a moving source, shifting it either to the red or blue. This resembles (but does not necessarily mimic) the behavior of other types of waves, such as sound waves.

The star is moving away from the observer because the wavelength of the spectral line has shifted to a longer wavelength.

doppler shift

Thus, the velocity is given by the formula

:v/c = (Δλ/λ)

where  is the rest wavelength and  is the change in wavelength.

v/c = (Δλ/λ)v/c = (1000.1 - 1000.0)/1000.0v/c = 0.0001/1000.

0v/c = 1e-7v = (1e-7) × c = 300 × 1e-7 = 3e-5

The star is moving away from the observer at a velocity of[tex]3 *10^{5}[/tex]m/s.

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The product shown in the structure can be generated from a Suzuki coupling reaction using the reactants Na2CO3, Pd(PPh3)4, SnBu3 and MgBr.

First, the palladium (Pd) catalyst is activated by the Na2CO3 under basic conditions, which then reacts with the organoboron compound SnBu3 to form a palladium-boron complex. This complex then reacts with the aryl halide, E, under mildly basic conditions and the reaction is accelerated by heating. The aryl halide is then replaced with the aryl Grignard, MgBr, which undergoes a transmetalation to give the desired product A.

In summary, the two reactants needed for the Suzuki coupling are Na2CO3, Pd(PPh3)4, SnBu3 and MgBr.  

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The mole fraction of methanol (CH₃OH) is 0.0427 or 4.27%.

Mole fraction is a measure of the concentration of one substance in a mixture, expressed as the ratio of the moles of the given substance to the total moles of all the substances in the mixture. Mole fraction is an important concept in chemistry, as it allows us to determine the properties of the mixture, such as its vapor pressure, boiling point, and freezing point.

To calculate the mole fraction of methanol (CH₃OH) in the given solution, we must first calculate the moles of methanol present. This is done by dividing the mass of methanol (14.6 g) by its molecular weight (32.04 g/mol).

moles CH₃OH = 14.6 g / 32.04 g/mol = 0.456 mol

We then calculate the moles of water by dividing the mass of water (184 g) by its molecular weight (18.02 g/mol).

moles H₂O = 184 g / 18.02 g/mol = 10.211 mol

The mole fraction of methanol can then be calculated by dividing the moles of methanol (0.456 mol) by the total moles of the solution (0.456 mol + 10.211 mol = 10.667 mol).

This gives us a mole fraction of:

mole fraction = 0.456 mol / 10.667 mol = 0.0427 or 4.27%.

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An ionic compound is similar to the doubles partners in this activity in that they are both made up of two different entities that are joined together through a bond.

Ionic compounds are made up of positively charged metal ions and negatively charged nonmetal ions, which are attracted to one another by electrostatic forces, resulting in the formation of an ionic bond.

In doubles partners, two individuals come together to form a team, working together to achieve a common goal. They complement each other's strengths and weaknesses and use their skills and abilities to win matches. Similarly, the metal and nonmetal ions in an ionic compound come together to form a stable bond, where the positive and negative charges balance each other out, resulting in a neutral compound.

In both cases, the bond between the two entities is stronger than any individual component, allowing them to work together effectively. Furthermore, just as doubles partners must communicate and coordinate their movements to be successful, the metal and nonmetal ions in an ionic compound must also interact with each other in a specific way to form the desired structure.

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Boiling water has a larger entropy change compared to melting ice. Entropy is a gauge of a system's unpredictability or disorder. A substance's particles have more flexibility to move when it changes from a solid to a liquid or from a liquid to a gas, which causes an increase in disorder and unpredictability. This rise in entropy often follows the rise in molecular randomness.

When ice melts, the arrangement of its particles changes from one that is more structured and organized in the solid state to one that is more random and disordered in the liquid state. Entropy rises as a result of this.

The arrangement of the particles changes from being very tightly packed in the liquid form of water to being much more dispersed and randomly distributed in the gas state as it boils and turns into steam. Compared to ice melting, this increase in volume and the particles' ability to move about causes a far bigger increase in entropy.

In conclusion, melting ice causes a smaller rise in entropy than boiling water does because gaseous particles are more dispersed and random than liquid ones.

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A two-step reaction sequence that explains how carbon dioxide can react in water to produce hydrogen ion In water, carbon dioxide reacts with water molecules to produce carbonic acid: CO2 + H2O → H2CO3.

Carbonic acid can then dissociate into hydrogen ions and bicarbonate ions: H2CO3 → H+ + HCO3. The reaction of carbon dioxide with water produces hydrogen ions, which are important in maintaining the pH of the environment. Carbon dioxide dissolves in water to produce carbonic acid, which then dissociates to form hydrogen ions and bicarbonate ions.

The two-step reaction sequence is as follows: CO2(g) + H2O(l) ⇌ H2CO3(aq) ⇌ H+(aq) + HCO3-(aq)The reaction of carbon dioxide with water can also produce hydroxide ions under certain conditions. This occurs when carbonic acid is further dissociated into bicarbonate and hydroxide ions.CO2(g) + H2O(l) ⇌ H2CO3(aq) ⇌ H+(aq) + HCO3-(aq) ⇌ 2H+(aq) + CO32-(aq) + H2O(l).

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Answer : There are 5 water molecules per formula unit of the hydrate.

In order to calculate the number of water molecules in a hydrate, we first need to understand what a hydrate is. A hydrate is a compound that contains water molecules bound within its crystal structure. The water molecules are referred to as “water of hydration” and are typically present in a fixed ratio to the other molecules in the compound.

The formula for a hydrate can be written as: AxBy * zH2O, where x and y represent the number of ions in the anhydrous salt and z represents the number of water molecules per formula unit. In order to calculate z, we need to use the information provided in the question. The question tells us that we have 0.02 mol of anhydrous salt and 0.1 mol of water in the sample. we need to divide the number of moles of water by the number of moles of anhydrous salt.

0.1 mol of water / 0.02 mol of anhydrous salt = 5. This means that for every mole of anhydrous salt, there are 5 moles of water. Therefore, the formula for the hydrate can be written as: AxBy * 5H2O. This means that there are 5 water molecules per formula unit of the hydrate. Therefore, z is equal to 5.

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The problem can be solved using Boyle's Law. The final pressure of the gas in the cylinder is 289.31 Pa.

Boyle's law is a gas law that describes the relationship between the pressure and volume of a gas at a constant temperature. Boyle's Law states that the pressure and volume of a gas are inversely proportional when temperature is held constant. Mathematically, it can be expressed as:

P₁V₁ = P₂V₂

where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

We can plug in the given values to solve for the final pressure:

P₁ = 156 Pa

V₁ = 910 mL = 0.91 L

V₂ = 490 mL = 0.49 L

P₁V₁ = P₂V₂

156 Pa × 0.91 L = P₂ × 0.49 L

P₂ = (156 Pa × 0.91 L) / 0.49 L

P₂ = 289.31 Pa

Therefore, the final pressure is 289.31 Pa.

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The length of the column required depends on the type of chromatographic system used.

Generally speaking, increasing the length of the column increases resolution. This is because a longer column provides a greater surface area for the analyte to travel along, which allows for more efficient separation.

For normal-phase liquid chromatography, the resolution between two peaks can be doubled by doubling the column length. For example, if the column length is 10 cm, the resolution can be doubled by doubling the length to 20 cm.

For reverse-phase liquid chromatography, the resolution can be increased by increasing the non-polar character of the stationary phase. This can be achieved by increasing the length of the column, adding a small number of silanol groups to the stationary phase, or increasing the pH.

Additionally, in reverse-phase chromatography, the resolution between two peaks can be increased by increasing the amount of organic modifier in the mobile phase.

In summary,

For normal-phase liquid chromatography, the resolution can be doubled by doubling the column length. For reverse-phase liquid chromatography, the resolution can be increased by increasing the non-polar character of the stationary phase, or by increasing the amount of organic modifier in the mobile phase.

Therefore, the length of the column required to double the resolution between two peaks in a chromatographic separation depends on the type of chromatographic system used.

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The empirical formula of ferrocene would be  Fe(C5H5)2

To determine the empirical formula of ferrocene, we need to find the simplest whole number ratio of atoms in the compound.

First, we can assume that we have 100g of the compound, which means we have:

5.42g of H

64.56g of C

30.02g of Fe

Next, we need to convert the mass of each element into moles using their respective atomic masses:

Now we need to find the ratio of the elements in the compound by dividing the number of moles of each element by the smallest number of moles:

H: 5.38 mol / 0.537 mol = 10.0 (rounded to one decimal place)

C: 5.37 mol / 0.537 mol = 10.0 (rounded to one decimal place)

Fe: 0.537 mol / 0.537 mol = 1.0

The ratio of elements in the compound is approximately 10:10:1, which means the empirical formula of ferrocene is Fe(C5H5)2.

Therefore, the empirical formula of ferrocene is Fe(C5H5)2.

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The reaction of Fe²⁺  with phen produces the ferroin product, which is the desired result in this experiment. Therefore, it was a reasonable assumption that all of the Fe²⁺  would be used up in the reaction and end up in the ferroin product.

The reason for this is that ferroin is formed by the reaction between iron(II) ions and 1,10-phenanthroline.

This reaction is highly specific to Fe²⁺ ions, so it is unlikely that other metal ions would interfere with the formation of ferroin.

Therefore, it can be assumed that all of the Fe²⁺ ions present in the reaction would react with 1,10-phenanthroline to form ferroin.

This assumption is supported by the fact that the absorbance of ferroin is directly proportional to the concentration of Fe²⁺  ions in the solution.

This means that the amount of ferroin formed can be used to determine the concentration of Fe²⁺  ions in the original solution.

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The carbohydrates that cannot be hydrolyzed to give smaller molecules are monosaccharides or simple sugars.

Monosaccharides are the simplest form of carbohydrates and are not composed of smaller sugar molecules, making them indivisible. They are the building blocks of carbohydrates, and they have the general formula (CH2O)n. They are classified according to the number of carbon atoms they contain, such as trioses, pentoses, and hexoses. Examples of monosaccharides are glucose, fructose, and galactose.

Monosaccharides are important in the body's metabolic processes, particularly in the production of energy. complex molecules are broken down into glucose, which the body uses for energy. Glucose is the primary fuel for the brain, red blood cells, and other organs. However, if glucose levels are too high, it can cause damage to organs and other tissues, which is why insulin helps regulate the amount of glucose in the blood.

Therefore, monosaccharides are important nutrients for the body's proper functioning, and they cannot be broken down into smaller molecules.

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Conjugation is the process of connecting multiple double bonds or lone pairs of electrons in a molecule or chemical structure.

Conjugation affects the absorption of light in a dye. Dyes with conjugated structures will absorb light of lower wavelength than those without conjugated structures. For example, a synthetic dye with two double bonds will absorb light of lower wavelength than one with just one double bond. The degree of conjugation in a chemical structure will affect the amount of light absorbed and the wavelength of the light that is absorbed.

The approximate wavelength of light absorbed by synthetic dyes is related to the degree of conjugation in the chemical structure. A dye with more conjugated double bonds or lone pairs will absorb light of a lower wavelength than one with fewer conjugated double bonds or lone pairs. For example, a dye with four double bonds will absorb light of a lower wavelength than one with three double bonds. The longer the conjugation, the lower the wavelength of light absorbed.

In conclusion, the degree of conjugation present in a chemical structure affects the amount and wavelength of light absorbed by a dye. The longer the conjugation, the lower the wavelength of light absorbed.

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Organic molecules are those that contain carbon and often hydrogen atoms bonded together, and they are the building blocks of life.

Carbon is an element that is essential to life on Earth and is the central atom in organic compounds. It can form covalent bonds with other elements such as hydrogen, oxygen, nitrogen, and sulfur.

Carbon has the unique ability to form long chains of molecules, branched structures, and rings that are essential to the structure and function of organic molecules.

Organic molecules include carbohydrates, lipids, proteins, and nucleic acids. Carbohydrates are sugars and starches that provide energy to living organisms.

Lipids are fats and oils that are important for insulation and energy storage. Proteins are complex molecules that carry out many functions in the body, such as catalyzing chemical reactions and providing structure to cells.

Nucleic acids are DNA and RNA, which carry genetic information and are essential for the synthesis of proteins.

Oxygen is another element that is essential to life on Earth. It is often found in organic molecules, especially in carbohydrates and lipids.

Oxygen is important for respiration, the process by which living organisms use energy stored in organic molecules to carry out cellular processes.

In respiration, oxygen reacts with organic molecules such as glucose to produce carbon dioxide, water, and energy in the form of ATP.

Organic molecules contain carbon and often hydrogen atoms bonded together, and they are the building blocks of life.

Carbon has the unique ability to form long chains of molecules, branched structures, and rings that are essential to the structure and function of organic molecules.

Oxygen is another element that is often found in organic molecules and is important for respiration.

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Answer:

Equilibrium is basically the balance between two opposing forces.  

The density of the metal sample is 3.781 g/mL.

To calculate the density, you need to divide the mass (22.82 g) by the volume (6.03 ml). Thus, 22.82 g / 6.03 ml = 3.781 g/mL.

Density is a measure of the mass per unit volume of a material or object. It is calculated by dividing the mass by the volume. The SI unit of density is kg/m3, but for solids and liquids, g/mL is a commonly used unit of density.

The density of a material or object will change depending on the temperature or pressure, so it is important to consider the temperature and pressure when determining the density of a material or object. For example, the density of water changes from 0.958 g/mL at 4°C to 0.997 g/mL at 25°C.

Therefore, when calculating the density of a metal sample, it is important to ensure that the mass and volume are measured at the same temperature and pressure.

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In this reaction, 10 cm³ of CO is mixed with 15 cm³ of oxygen. After the reaction, the volume of the product is 20 cm³. When shaken with aqueous sodium hydroxide, the volume is reduced to 10 cm³. This agrees with Gay Lussac's Law.

According to Gay Lussac's Law, the ratio of the volumes of the reactants and products of a reaction are constant when pressure and temperature are held constant. In this reaction, 10 cm³ of CO is mixed with 15 cm³ of oxygen. After the reaction, the volume of the product is 20 cm³. When shaken with aqueous sodium hydroxide, the volume is reduced to 10 cm³. This agrees with Gay Lussac's Law since the ratio of the initial reactant volumes (10 cm³ to 15 cm³) is the same as the ratio of the final product volumes (20 cm³ to 10 cm³).

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Answer: The thermochemical equation for dissolving KOH in water at 15°C when 1 mole of KOH releases 56 kJ of heat upon dissolving can be represented as follows: KOH(s) + H2O(l) → KOH(aq)ΔH = -56kJ/mol

Explanation:

Thermochemistry is a branch of chemistry that deals with the relationship between heat energy and chemical reactions. It deals with the heat involved in chemical reactions, and the effects of temperature and pressure changes on physical systems.

A thermochemical equation is a chemical equation that includes the heat of the reaction (enthalpy change). It is usually represented by the symbol ΔH.

The thermochemical equation for dissolving KOH in water at 15°C when 1 mole of KOH releases 56 kJ of heat upon dissolving can be represented as follows: KOH(s) + H2O(l) → KOH(aq)ΔH = -56 kJ/mol

This equation indicates that when one mole of solid KOH is dissolved in water at 15°C, it releases 56 kJ of heat. The heat is negative (-56 kJ/mol), which indicates that the reaction is exothermic. Exothermic reactions release heat energy into the surroundings. This means that the surroundings get hotter.



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The limiting reactant is Ca₃(PO₄)₂.

To determine the limiting reactant in a chemical reaction, we need to compare the amount of moles of each reactant and see which one is completely consumed first.

The balanced chemical equation for the reaction between calcium phosphate (Ca3(PO4)2) and sulfuric acid (H₂SO₄) is:

3Ca₃(PO₄)₂ + 2H₂SO₄ → 6CaSO₄ + H₄P₂O₇

First, let's convert the given masses of each reactant to moles:

moles of Ca₃(PO₄)₂ = 129 g / (3 x 310.18 g/mol) = 0.139 mol

moles of H₂SO₄ = 97.4 g / (2 x 98.08 g/mol) = 0.993 mol

According to the balanced chemical equation, it takes 3 moles of Ca₃(PO₄)₂ and 2 moles of H₂SO₄ to produce the products. So, we need to multiply the amount of moles of each reactant by the appropriate stoichiometric coefficient in the balanced equation to see which reactant is completely consumed first:

For Ca₃(PO₄)₂: 0.139 mol x (2/3) = 0.093 mol of H₂SO₄ required

For H₂SO₄: 0.993 mol x (3/2) = 1.49 mol of Ca₃(PO₄)₂ required

From the above calculations, we can see that 0.139 mol of Ca₃(PO₄)₂ require 0.093 mol of H₂SO₄ for complete reaction. But we have 0.993 mol of H₂SO₄ available which is much greater than the required amount of H₂SO₄. Therefore, the limiting reactant is Ca₃(PO₄)₂.

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