According to the following reaction, how many moles of hydrogen iodide will be formed upon the complete reaction of 0.283 moles of hydrogen gas with excess iodine?hydrogen (g) + iodine (s) → hydrogen iodide (g)

Answer:

a) Methanoic acid can be prepared from methanol through oxidation using potassium permanganate and sulfuric acid. The reaction proceeds as follows:

CH3OH + 2[O] → HCOOH + H2O

b) Methanal (formaldehyde) can be prepared from methanol through oxidation using potassium dichromate and sulfuric acid. The reaction proceeds as follows:

CH3OH + [O] → CH2O + H2O

c) Butanone can be prepared from 2-butanol through oxidation using Jones reagent (CrO3/H2SO4) or pyridinium chlorochromate. The reaction proceeds as follows:

CH3CH(OH)CH2CH3 + [O] → CH3COCH2CH3 + H2O

d) Pentanal can be prepared from 1-pentanol through oxidation using potassium permanganate and sulfuric acid. The reaction proceeds as follows:

CH3(CH2)3CH2OH + 3[O] → CH3(CH2)3CHO + 3H2O

e) Hexanoic acid can be prepared from 1-hexanol through oxidation using potassium permanganate and sulfuric acid. The reaction proceeds as follows:

CH3(CH2)4CH2OH + 4[O] → CH3(CH2)4COOH + 4H2O

f) Hexanal can be prepared from 1-hexanol through oxidation using pyridinium chlorochromate. The reaction proceeds as follows:

CH3(CH2)4CH2OH + [O] → CH3(CH2)5CHO + H2O

g) Hexan-3-one can be prepared from 3-hexanol through oxidation using Jones reagent (CrO3/H2SO4) or pyridinium chlorochromate. The reaction proceeds as follows:

CH3(CH2)4CH(OH)CH3 + [O] → CH3(CH2)3COCH3 + H2O

(please could you kindly mark my answer as brainliest)

In the Insoluble and Soluble Saltlab, the dropper bottles containing the anions to be studied were all soluble salt solutions. The dropper bottles containing the cations to be studied were all insoluble salt solutions.

Solubility refers to the ability of a substance to dissolve in a particular solvent. A compound is referred to as soluble if it dissolves in water, and insoluble if it does not. Solubility is a crucial physical property in the characterization of the chemical nature of a substance.

A salt that can be dissolved in a solvent, such as water, is known as a soluble salt. Soluble salts can dissolve in water or other solvents to create a clear or transparent solution.

A salt that cannot be dissolved in a solvent, such as water, is referred to as an insoluble salt. When insoluble salts are mixed with water, they form a cloudy or opaque mixture that gradually settles out or falls to the bottom.In the Insoluble and Soluble Saltlab, the dropper bottles containing the anions to be studied were all soluble salt solutions. The dropper bottles containing the cations to be studied were all insoluble salt solutions.

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The standard molar enthalpy of reaction for the given reaction is -822 kJ/mol.

The balanced chemical equation for the reaction is:

Ca(s) + 1/2 O2(g) + CO2(g) → CaCO3(s)

The standard enthalpies of formation for the reactants and product are:

ΔH°f[Ca(s)] = 0 kJ/mol

ΔH°f[O2(g)] = 0 kJ/mol

ΔH°f[CO2(g)] = -385 kJ/mol

ΔH°f[CaCO3(s)] = -1207 kJ/mol

The ΔH°r for the reaction can be calculated using the following formula:

ΔH°r = ΣnΔH°f(products) - ΣnΔH°f(reactants)

ΔH°r = [ΔH°f(CaCO3(s))] - [ΔH°f(Ca(s)) + 1/2ΔH°f(O2(g)) + ΔH°f(CO2(g))]

ΔH°r = [-1207 kJ/mol] - [0 kJ/mol + 1/2(0 kJ/mol) + (-385 kJ/mol)]

ΔH°r = -822 kJ/mol

Delta (Δ) is a symbol used to represent a change or difference in a physical or chemical property. It is often used to denote the change in energy or enthalpy of a chemical reaction, as well as changes in temperature, pressure, or concentration.

For example, when a chemical reaction occurs, the difference in energy between the reactants and products can be represented by the symbol ΔH, with a positive value indicating an endothermic reaction (absorbing heat) and a negative value indicating an exothermic reaction (releasing heat). Delta can also be used to represent changes in other properties, such as entropy (ΔS) or free energy (ΔG), which are important in predicting the spontaneity and direction of chemical reactions.

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the change in regioselectivity of the addition of HBr to an alkrne or alkyne in the presence of a peroxide

Answer:

Explanation:

The change in regioselectivity of the addition of HBr to an alkene or alkyne in the presence of a peroxide.

Structural formula: Definition: A structural formula is a molecular representation that depicts the relationship between atoms or functional groups in a chemical compound. It's also known as a chemical formula or molecular formula.

Structural formulas provide a more detailed view of the molecular structure than empirical formulas, which only show the simplest ratio of atoms in a compound.

The structural formula also shows the spatial arrangement of atoms and groups in a compound.

There are two types of structural formulas: condensed structural formulas and Lewis structures.

Condensed structural formulas provide a concise representation of the molecular structure by eliminating most of the bonds and functional groups present in a compound.

The Lewis structure, on the other hand, shows the bonding pairs and lone pairs of electrons present in a molecule.

Structural formulas are critical in chemical analysis, particularly in organic chemistry, where they aid in the identification and characterization of chemical compounds.

These formulas help to explain the chemical properties and behavior of compounds, making them useful in drug development, food production, and other industries.

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For the scenario given, the system and surroundings are identified as follows:System: Your handSurroundings: The hand warmer packetThe sign of q for both the system and surroundings as they are defined:For the system: q < 0 (negative)For the surroundings: q > 0 (positive).

Explanation:In the given scenario, the system is the hand of the person, and the surroundings are the hand warmer packet. The process involves heat transfer from the hand warmer to the hand to warm it up. Heat is the energy transferred between a system and its surroundings due to the difference in temperature. In this case, the hand warmer packet is at a higher temperature than the hand, so heat flows from the surroundings to the system. As a result, the sign of q for the system would be negative (q < 0) as it is gaining heat from the surroundings, and the sign of q for the surroundings would be positive (q > 0) as it is losing heat to the system.

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Answer:

Explanation:

I_3^−

The triiodide ion, I3−, is a polyatomic anion composed of three iodine atoms. It has a central iodine atom, which is surrounded by two other iodine atoms in a trigonal planar geometry. The hybridization of the central atom is sp2. This is because the central atom has 3 electron pairs in its valence shell, which means it needs to form three bonds with the other atoms. This requires the central atom to use one s-orbital and two p-orbitals to form three sp2 hybrid orbitals. These three sp2 orbitals are then used to form the three bonds with the other two iodine atoms, resulting in a trigonal planar geometry.

In 0.733 mol of Benadryl, there are 0.312 molecules of carbon.

The molecular formula of Benadryl is C17H21NO. To determine how many moles of carbon are present in 0.733 mol of Benadryl, we need to first find the molar mass of Benadryl.

Molar mass of Benadryl = (17 x 12.01 g/mol for carbon) + (21 x 1.01 g/mol for hydrogen) + (1 x 14.01 g/mol for nitrogen) + (1 x 16.00 g/mol for oxygen)

= 257.30 g/mol

Now, we can use the molar mass of Benadryl to calculate the number of moles of carbon present in 0.733 mol of Benadryl.

Number of moles of carbon = Number of moles of Benadryl x (Number of atoms of carbon in 1 molecule of Benadryl / Total number of atoms in 1 molecule of Benadryl)

Number of atoms of carbon in 1 molecule of Benadryl = 17

Total number of atoms in 1 molecule of Benadryl = 17 + 21 + 1 + 1 = 40

Substituting the values, we get:

Number of moles of carbon = 0.733 mol x (17/40) = 0.312 mol

Therefore, there are 0.312 moles of carbon present in 0.733 mol of Benadryl.

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Answer:

True

hope it helps you [and others too] ;)

The mass (in grams) of water, H₂O produced from 6.00 moles of hydrogen gas, H₂, is 108 g (last option)

We'll begin by obtaining the mole of water produced from the reaction. Details below:

2H₂(g) + O₂ -> 2H₂O

From the balanced equation above,

2 moles of H₂ reacted to produce 2 moles of H₂O

Therefore,

6 moles of H₂ will also react to produce 6 moles of H₂O

Finally, we shall determine the mass of water, H₂O produced. Details below:

Mole = mass / molar mass

6 = Mass of water, H₂O / 16

Cross multiply

Mass of water, H₂O = 6 × 18

Mass of water, H₂O = 108 g (last option)

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Answer:91

Explanation:because I am just very smart and this is the answer <3

The reaction in the gas mixture will proceed non-spontaneously in the forward direction when the standard free energy change (∆G°) is positive or zero.

In chemical reactions, the term spontaneity refers to whether the reaction proceeds on its own or requires an input of energy to occur. When ∆G° is negative, a reaction is said to be spontaneous in the forward direction, meaning it occurs naturally without any external input of energy. When ∆G° is positive or zero, on the other hand, the reaction proceeds nonspontaneously in the forward direction.

In other words, the reaction requires energy input to proceed. The free energy change (∆G) of a reaction is related to its standard free energy change (∆G°) through the equation:

∆G = ∆G° + RT ln(Q)

where, R is the gas constant, T is the temperature in Kelvin, and Q is the reaction quotient.

If Q = 1, the reaction is at equilibrium and ∆G = ∆G°. If Q < 1, the reaction proceeds spontaneously in the forward direction (∆G < 0), and if Q > 1, the reaction proceeds spontaneously in the reverse direction (∆G > 0).

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The best material for insulation in this case would be Styrofoam. Styrofoam is lightweight, strong, and an excellent thermal insulator. It is composed of tiny bubbles of air that are suspended in a matrix of plastic. The air trapped inside the bubbles acts as a thermal barrier, keeping heat out or in, depending on the application.

Its lightweight nature makes it easier to manipulate, while its strength gives it the durability needed to keep a drink hot or cold. Its insulation properties also make it the perfect material for the student's insulated drink cup.

Styrofoam can be cut and shaped easily, making it a great material for use in drink cups. The material is also easy to clean and resistant to water and other liquids, which makes it ideal for frequent use. Additionally, Styrofoam is both affordable and widely available, making it an ideal choice for the student's project.

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1.  0. 0728 mole to Silicon is equals to 2.044 gram.

2. 5. 5mol of H2O is equals to 99.08 gram.

3. 0. 0728 of Ca(H2PO4)2 is equals to 17.038 gram.

The Moles can be converted to mass in grams by multiplying the molecular weight by the number of moles for the substance. The molecular weight is defined as the number of grams per mole for the substance and gives the conversion factor for moles to grams for that particular substance.

The molecular weight is defined as the mass of a given molecule: it is measured in grams per mole. According to Dalton's different molecules of the same compound may have different molecular masses because they contain different isotopes of an element.  

1. 0.0728 mole of silicon.

  The molecular weight of silicon is 28.09 g/mole.

 =  0.0728 mole * 28.09 g/mole

 = 2.044 gram.

2.  5. 5mol of H2O

    The molecular weight of water is 18.01528 g/mole.

   =  5. 5mole * 18.01528 g/mole

   = 99.08 gram

3.  0. 0728 of Ca(H2PO4)2

    Molecular weight of  Ca(H2PO4)2 is 234.05 g/mole.

    = 0. 0728mole * 234.05 g/mole

    = 17.038 gram

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The density of the gas at 84° C and 721 mm Hg will be 2.50 g/L.

The density of a gas can be calculated using the following formula:

Density = (Pressure x Molar Mass) / (Gas Constant x Temperature)

Where, Density is the density of the gas in grams per liter. Pressure is the pressure of the gas in millimeters of mercury (mm Hg). Molar mass is the molar mass of the gas in grams per mole. Gas constant is the universal gas constant (0.08206 L atm / mole K). Temperature is the temperature of the gas in kelvin (K).

Now, let's find the density of the gas at 34° C and 745 mm Hg. The temperature should be converted from Celsius to Kelvin. Temperature (K) = 34 + 273 = 307 K

Density = (Pressure x Molar Mass) / (Gas Constant x Temperature)

Density = (745 x Molar Mass) / (0.08206 x 307)

Density = 28.91 x Molar Mass g/L

Also, we need to find the molar mass of the gas. Since we don't know which gas it is, we'll use the formula,

Molar Mass = Density x (Gas Constant x Temperature) / Pressure

Molar Mass = 1.87 x (0.08206 x 307) / 745

Molar Mass = 0.103 g/mol

Now, we can find the density of the gas at 84° C and 721 mm Hg.

Temperature (K) = 84 + 273 = 357 K

Density = (Pressure x Molar Mass) / (Gas Constant x Temperature)

Density = (721 x 0.103) / (0.08206 x 357)

Density = 2.50 g/L

Therefore, the density of the gas at 84° C and 721 mm Hg will be 2.50 g/L.

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The atomic number of an atom is determined by counting the number of protons in the nucleus. This is because the atomic number is defined as the number of protons in an atom's nucleus.

What is atomic number?

The atomic number is the number of protons in an atom. The periodic table is arranged according to atomic number, which determines the chemical properties of an element. All neutral atoms of a given element have the same number of protons and electrons.

A neutral atom has an equal number of positively charged protons and negatively charged electrons, which results in no overall charge.The electron arrangement in an atom determines how it will interact with other atoms. The element's chemical properties are determined by the electron configuration of its atoms.

The number of protons in the nucleus determines the element's atomic number, which is a fundamental property of the element. The atomic number identifies the element and its position on the periodic table.

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The structure of chloric acid, HClO3, consists of a chlorine atom bonded to three oxygen atoms, with two of the oxygen atoms carrying a single negative charge. The formal charges of the atoms are optimized to achieve a neutral overall charge.

Optimizing the formal charges in the structure of chloric acid, HClO3, involves adjusting the distribution of electrons to achieve the most stable configuration while ensuring the overall charge of the molecule is neutral. This is important because it affects the molecule's reactivity and properties, including its acidity and ability to form bonds with another molecule.

          O

           |

     H     O

     |     ||

H -- O -- Cl -- O

     |     |

     H     O

           |

           H

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The process of distillation involves heating the alcohol-containing solution, gathering the vapours, and then condensing them back into liquid form.

According to their boiling points, liquids are separated and purified using the distillation process. When it comes to alcohol, the solution is heated until the alcohol evaporates into a vapour, which is then collected and condensed back into a liquid state. A highly concentrated alcohol solution is produced as a result of this procedure, which enables the separation of the alcohol from other elements in the solution.

Alcoholic drinks including whisky, vodka, gin, and rum are made by distillation.

In the chemical industry, distillation is used to separate and purify various compounds and solvents.

In the process of refining petroleum, distillation is used to separate crude oil into several products, including gasoline, diesel, and kerosene.

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The dropper bottles containing the anions to be studied were all sodium hydroxide (NaOH) solutions. The dropper bottles containing the cations to be studied were all potassium chloride (KCl) salt solutions.

Salt- A salt is a chemical compound that is produced by the reaction of an acid with a base, which results in a substance that is made up of positively charged ions and negatively charged ions, known as cations and anions, respectively.

Soluble salt- It is formed by reacting an alkali and an acid in a solution. In this case, NaOH and KCl are reacted to form the soluble salt solution, i.e., NaCl solution.

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I think i can help u with this

The balanced equation for the reaction between hydrochloric acid (HCl) and calcium carbonate (CaCO3) is:

2HCl + CaCO3 → CaCl2 + CO2 + H2O

To determine the limiting reagent, we need to calculate the number of moles of each reactant and compare them to their stoichiometric coefficients in the balanced equation. Let's start with hydrochloric acid:

Number of moles of HCl = 234 g / 36.46 g/mol = 6.41 mol

Now let's calculate the number of moles of calcium carbonate:

Number of moles of CaCO3 = 425 g / 100.09 g/mol = 4.25 mol

According to the balanced equation, the stoichiometric ratio of HCl to CaCO3 is 2:1. Therefore, we can see that calcium carbonate is the limiting reagent since we have fewer moles of CaCO3 than HCl, and we need twice as many moles of HCl to react completely with CaCO3.

To find the theoretical yield of CO2, we need to use the stoichiometry of the balanced equation. We see that the stoichiometric ratio of CaCO3 to CO2 is 1:1, so for every mole of CaCO3, we get one mole of CO2. Therefore, the theoretical yield of CO2 can be calculated as:

Theoretical yield of CO2 = 4.25 mol x 1 mol CO2/ 1 mol CaCO3 x 44.01 g/mol = 187.76 g

Now we can calculate the percent yield of CO2 by using the formula:

Percent yield = (actual yield / theoretical yield) x 100%

Substituting the given values, we get:

Percent yield = (82.5 g / 187.76 g) x 100% = 43.91%

Therefore, the percent yield of CO2 is approximately 43.91%.

The pH of the solution of 551 mg of Barium Hydroxide and 180 mL water is 12.6.

A solution in chemistry is a specific kind of homogenous mixture made up of two or more components.

A solute is a material that has been dissolved in the solvent in such a combination.

The first step is to calculate the molarity of the barium hydroxide solution. We can use the formula:

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

The molar mass of barium hydroxide [Ba(OH)²] is 171.34 g/mol. Therefore, the number of moles of Ba(OH)² in 551 mg (0.551 g) can be calculated as:

moles of Ba(OH)² = mass / molar mass = 0.551 g / 171.34 g/mol = 0.003214 mol

The volume of the solution is 180 mL, which is equivalent to 0.180 L. Therefore, the molarity of the barium hydroxide solution is:

Molarity = 0.003214 mol / 0.180 L = 0.01786 M

Barium hydroxide is a strong base that completely dissociates in water to give barium ions (Ba²) and hydroxide ions (OH⁻):

Ba(OH)²⁺ (s) → Ba²⁺ (aq) + 2OH⁻ (aq)

In an aqueous solution, the hydroxide ions can react with water to produce hydroxide ions and hydronium ions (H₃O⁺):

OH⁻ (aq) + H₂O (l) → H₃O⁺ (aq) + OH⁻- (aq)

Since the concentration of OH- ions in the solution is twice the concentration of Ba(OH)₂, we can use the following equation to calculate the hydroxide ion concentration:

[OH-] = 2 x Molarity of Ba(OH)₂ = 2 x 0.01786 M = 0.0357 M

Now, we can use the equation for the ion product constant of water to calculate the hydronium ion concentration:

Kw = [H₃3O⁺][OH⁻] = 1.0 x 10⁻¹⁴

[H₃O⁺] = Kw / [OH⁻] = 1.0 x 10⁻¹⁴ / 0.0357 = 2.801 x 10⁻¹³ M

Finally, we can calculate the pH of the solution using the equation:

pH = -log[H₃O⁺] = -log(2.801 x 10⁻¹³) = 12.552

Therefore, the pH of the solution is 12.6 (rounded to one decimal place).

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B. Organisms capture rainwater and save it for later.

The desert stores water in several ways. One of the most important is through the formation of underground aquifers, which are underground layers of permeable rock, sediment, and soil that store and transmit water. The water is held in the pores of the aquifer material, allowing it to be accessed through wells.

Water is also stored in the soil and vegetation, and in the form of snow and ice in some desert regions.

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The advantage of using saturated sodium chloride solution in the extraction of benzoic acid is that it helps to separate benzoic acid from other components in a solution due to its high solubility.

Extraction refers to the process of separating a particular compound from a mixture using a solvent. It's used to purify compounds, remove impurities, or separate two different compounds.

Benzoic acid is a white crystalline solid that can be extracted from benzoin or benzene, and it has a range of applications.

Sodium chloride is a common reagent used in the extraction of benzoic acid.

The isotonic nature makes it useful as a reagent for the separation of organic and aqueous layers. It causes the organic phase to separate easily:

Thus, overall, the use of saturated sodium chloride solution can help to improve the efficiency of the extraction process, allowing for better separation of the organic compound from the aqueous layer.

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Absorbance is the measure of how much light is absorbed by a sample solution at a particular wavelength. The Beer-Lambert law states that there is a linear relationship between the absorbance of a solution and its concentration.

Specifically, absorbance is directly proportional to the concentration and path length of the sample solution, and inversely proportional to the intensity of the incident light. This relationship can be expressed mathematically as A = ɛcl, where A is the absorbance, ɛ is the molar absorptivity (a constant unique to each substance), c is the concentration of the solution in mol/L, and l is the path length of the sample cell in cm.

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Elements from space that are pulled by gravity and turn into a protostar are mostly made up of hydrogen.

Hydrogen is the most abundant element in the universe and is present in large quantities in space. When gravity pulls together a large amount of hydrogen gas and dust, it can create a protostar. As the hydrogen particles come together, they begin to heat up due to the increased pressure and eventually, the temperature and pressure become so great that nuclear fusion can occur, creating a fully-fledged star. Therefore, the process of star formation is primarily driven by the gravitational attraction between hydrogen atoms. Other elements such as helium, carbon, and oxygen may also be present in space, but their role in star formation is typically secondary.

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Epinephrine and norepinephrine are both hormones and neurotransmitters produced by the adrenal gland and involved in the body's response to stress.

While they have similar effects on the body, they differ in their specific physiological and pharmacological actions. Norepinephrine acts primarily as a neurotransmitter in the sympathetic nervous system, regulating the "fight or flight" response. It increases heart rate, blood pressure, and blood glucose levels, and constricts blood vessels. Norepinephrine is also involved in mood regulation, attention, and cognitive function. Epinephrine, on the other hand, acts as both a neurotransmitter and hormone, and has broader effects on the body. It increases heart rate, blood pressure, and blood glucose levels, but also dilates the airways and blood vessels in skeletal muscle.

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The addition of buffers to a culture medium will neutralize acids.

Buffer solutions are aqueous solutions that resist modifications in pH when limited quantities of an acid or base are added to them. Buffers are essential in biological and chemical systems since many chemical processes are pH-dependent. These buffers keep biological fluids from becoming too acidic or alkaline, ensuring that the fluids remain in a specific pH range. When acid or base is added to a buffer solution, it resists changes in pH.

The pH range of buffers varies. Several buffers have a pH range that is appropriate for a particular chemical system. These buffers are effective at neutralizing the acids present in culture media. So, the addition of buffers to a culture medium will neutralize acids, making it the right option among the given options.

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The green metal carbonate is decomposed according to the given equation: MCO₃(s) → MO(s) + CO₂(g)

What is molar mass of MCO₃?

The number of moles of CO₂(g) produced can be used to determine the number of moles of the green metal carbonate (MCO₃) that decomposed.0.222 g of CO₂ (g) represents 1 mol of CO₂ (g), since its molar mass is 44 g/mol.

Therefore,1 mol of MCO₃ will produce 1 mol of CO₂ (g) in the reaction. So, 0.222 g of CO₂ (g) corresponds to 1 mol of MCO₃.

Hence, the number of moles of MCO₃ is:

moles of MCO₃= mass/Molar

mass= 0.598 g/Molar mass of MCO₃

The molar mass of MCO₃ can be calculated using the following:

mass percent of MCO₃ = [(mass of M)/(molar mass of M)] × 100%molar mass of MCO₃ = mass of MCO₃/moles of MCO₃

By substituting the value of moles of MCO₃ and the mass of MCO₃ into the equation above, the molar mass of MCO₃ can be calculated.

molar mass of MCO₃= (mass of MCO₃) / (moles of MCO₃)

Finally, to determine the molar mass of metal M, subtract the molar mass of CO3 from the molar mass of MCO₃.

MCO₃ = 12.011 + 3(15.999) + M(55.845)

= 181.76 + 55.845MM

= 55.845 - 60.01MM

= -4.165

The molar mass of the metal M is 4.165 g/mol.

To summarize, the metal M is sodium (Na) and its molar mass is 4.165 g/mol.

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In a NaOH solution, decanoic acid is soluble. Because of its lengthy, nonpolar hydrocarbon chain, decanoic acid is inert in water.

Because there is an acidic H atom present and because of the strong -I action of the SO(2) group, sulphonamides generated from 1 nucleophiles are soluble in NaOH.

Hence, the weak hydrogen bonds or multipole forces of amines have a hard time breaking through the covalently bonded force in NaOH. Moreover, the hydrophobic organic moieties of amines stop them from dissolving into ionic NaOH. As a result, amines cannot dissolve in NaOH.

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The answer is C) 0.5 kg. This is because Plutonium-238 has a half-life of 87.7 years, which means that after 87.7 years, half of the original amount of Plutonium-238 will remain. In this case, that would be 2 kg * 0.5 = 0.5 kg.

Plutonium-238 is a radioactive element used as a power source in spacecraft like Voyager and New Horizons. It has a half-life of 87.7 years. Suppose we have 2 kg of plutonium-238 right now. Radioactive decay is a random event. So, it is impossible to predict when a specific atom will decay. But we can find how much radioactive material is remaining after a specific period of time.

The half-life of a radioactive material is the time required for half of the radioactive material to decay. The formula to calculate the remaining material is:

N(t) = N0 × (1/2)^(t/t1/2)

Where N(t) is the remaining material at time t, N0 is the initial material, t1/2 is the half-life, and t is the elapsed time.

The initial material is 2 kg, half-life is 87.7 years, and the elapsed time is also 87.7 years.

N(87.7) = 2 kg × (1/2)^(87.7/87.7)= 1 kg × 0.5= 0.5 kg

Therefore, the amount of plutonium remaining after 87.7 years will be 0.5 kg. So, the answer is option C.

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