In a calorimeter, the temperature of 100 g of water decreased by 20°C when 10 g of ice melted. How much heat was absorbed by the ice?
A 8.36 j
b 8.36 kj
c 20 kj
d 836 kj ​

The function of these materials you utilized in the lesson is bacteria, gene, recombinant DNA technology, plasmid vector, and protein expression system. We have employed a bacterium to propagate a gene that makes a specific plant protein that may hold a cure for stomach cancer.

Protein makes up the majority of the body's organs, tissues, and body parts, include muscle, bone, skin, or hair. It aids in the production of hemoglobin, which transports oxygen in the blood, and enzymes, which fuel a variety of chemical reactions. The majority of the body's organs, tissues, and body parts, including muscle, bone, skin, and hair, are made of protein. It aids in the production of hemoglobin, which transports oxygen in the blood, and enzymes, which fuel a variety of chemical reactions. At least 10,000 different proteins make up you, and they also keep reader that way.

Every cell in the human body has protein.  To repair damaged cells and create new ones, your body needs protein in your diet. For toddlers, teenagers, and expectant women to develop properly and expand to their full potential, protein is crucial.  It accelerates metabolic reactions, synchronizes biological processes, and promotes tissue growth and repair. Proteins give your body its structural support and ensure optimal pH and fluid equilibration.

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347.12 gram present in 5.89 moles of cobalt.1 mole is equal to 6.023 × 10²³ particles.

The term mole is defined as the amount of material containing 6.023 × 10²³ particles.

1 mole is equal to 6.023 × 10²³ particles.

It can be utilized to measure out the products obtained from the chemical reaction. The unit is referred by mol. The formula for the number of moles formula is showed as follows.

Number of Moles = Mass of substance ÷ Mass of one mole.

The amount of atoms, molecules, or other particles 6.023 × 10²³ that make up one mole of a material is known as Avogadro's Number. One mole of hydrogen, for instance, is represented by hydrogen atoms. One mole of water is equal to 6.023 × 10²³ water molecules.

1 mole of cobalt = 58.9345 grams

Therefore, 5.89 moles of cobalt = 5.89 × 58.9345

= 347.12 gram

Thus, 5.89 moles of cobalt contains 347.12 gram.

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Lithium carbonate is a solid compound that does not dissolve in water. Therefore, the final volume of the solution will not be affected by the dilution of lithium carbonate with water.

A solid compound is a type of chemical compound that consists of two or more elements combined together in a solid state. Solid compounds are the most abundant type of compounds in nature, and are typically composed of two or more elements held together by strong chemical bonds. Examples of solid compounds include table salt (NaCl), sugar (C12H22O11), and stainless steel (Fe-Cr-Ni). Solid compounds are generally very stable, and can be found in both organic and inorganic forms. They can also be formed from other compounds, such as when two liquids mix together. Solid compounds are often used in industrial settings, such as in the production of pharmaceuticals, dyes, and other materials.

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The predominate inter-particle bond for each material is:

The cohesive forces that bind particles together in a solid material are determined by the nature of the atoms, ions, or molecules that make up the material. Some materials are composed of atoms that are held together by strong covalent bonds, whereas others are made up of ions that are attracted to each other by electrostatic forces.

Metallic materials have delocalized electrons that form a "sea" of electrons which hold the metal ions together. London Keesom forces are present in all materials, and arise from instantaneous dipoles that are formed in molecules. Hydrogen bonds are formed between molecules that have a hydrogen atom bonded to an electronegative atom.

By considering the nature of the constituent particles, it is possible to identify the predominant inter-particle bond that holds a solid material together.

This question should be provided with the options, which are: ebye, ionic, metallic, hydrogen, london keesom, covalent.

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The correct answer is B.Bromodimethylbenzene B cannot undergo nucleophilic aromatic substitution

By treatment with sodium amide in liquid ammonia because the two bromine atoms attached to the benzene ring are meta-directing, which would prevent the reaction from occurring.Bromodimethylbenzene is an organic compound made up of a benzene ring with two bromine atoms and two methyl groups attached. It is a colorless liquid at room temperature and has a slightly sweet odor. It is used as an intermediate in the production of a variety of organic compounds, such as dyes and pharmaceuticals. It can also be used as a solvent for various compounds. Bromodimethylbenzene is a toxic substance and should be handled with caution.

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In nature, the linking of two monosaccharides through a glycosidic bond involves the formation of an intermediate hemiacetal species. The activated hemiacetal species in this case is UDP, and it is used to form the glycosidic bond in cellulose.

The first step in the reaction is the activation of the UDP molecule by phosphorylation, which leads to the formation of UDP-glucose. The UDP-glucose then reacts with the hydroxyl group on the C4 carbon of another glucose molecule to form a glycosidic bond. This reaction is catalyzed by the enzyme cellulose synthase, which binds the glucose molecules and orients them in a way that facilitates the formation of the glycosidic bond. The result is the formation of a long chain of glucose molecules joined by glycosidic bonds, which constitutes the cellulose polymer.

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if you decrease temperature of an endothermic reaction, will the reaction favor products or reactants will shift it in the direction that is exothermic.

Exothermic reactions are chemical reactions that occur in everyday life. Exothermic reactions have certain characteristics that distinguish them from endothermic reactions.

The characteristics of an exothermic reaction are:

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To calculate the total pressure of the mixture, we need to add up the partial pressures of all the gases in the mixture. The partial pressures given are:

Ar: 749 torr

O2: 11,235 torr

N2: 803 torr

Other gases (assumed to be negligible): 699 torr

Therefore, the total pressure of the mixture is:

749 torr + 11,235 torr + 803 torr + 699 torr = 13,486 torr

Therefore, the total pressure of the mixture is 13,486 torr.

The overall pressure ptot is the total of all pressures in a reference system. This pressure, according to Bernoulli (see Fluid mechanics), consists of the static pressure p, the dynamic pressure pdyn, and the geodetic component ( g z) that exists in a fluid along a stream line in a frictionless flow.

The total pressure of a gas mixture is the sum of its component gases' partial pressures: Ptot = ∑Pi = P1 + P2 + P3... ntot = total number of moles in the gas mixture (the sum of all ni).

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Boron has the largest first ionization energy. Option C is correct.

The first ionization energy generally increases from left to right across a period of the periodic table, and decreases from top to bottom down a group. Therefore, in the given options, the element with the largest first ionization energy would be boron (B), as it is the closest to the right-hand side of the period and has a relatively small atomic radius compared to the other options.

The order of the elements from smallest to largest first ionization energy would be:

B < O < Mg < Ba < Te

Note that there may be some exceptions to this general trend due to other factors, such as electron configuration and shielding effects, but this is the overall trend.

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--The given question is incorrect, the correct question is

"Based on their positions in the periodic table, predict which has the largest first ionization energy: Options A) Mg B) Ba C) B D) O E) Te."--

Answer:

Solubility in water and Conductivity

Explanation:

Ionic compounds are important for the heart to beat because they are soluble in water and conduct electricity. This allows the electrical impulses that regulate heartbeats to easily travel through the heart cells, which are mostly composed of water. Solubility in water allows the ionic substances to be easily dispersed in the heart cells, while conductivity allows the electrical impulses to move quickly and efficiently through the cells. The crystalline structure and melting point of ionic compounds are not as relevant for this function.

If a glass of water contains( 6.022×10²⁴) hydrogen atoms, how many moles of H[tex]_2[/tex]O are present, 10 moles are there.

Water has the chemical formula H[tex]_2[/tex]O and is an inorganic substance. It is a clear, tasteless, odorless, and almost colorless chemical substance that is the primary ingredient of the Earth's hydrosphere as well as the fluids of all recognized living species.

Despite not supplying food, energy, or organic micronutrients, it is essential for all known life forms. Its chemical equation, H[tex]_2[/tex]O, reveals that every single its molecules is made up of one hydrogen atom and two oxygen atoms that are linked together by covalent bonds.

mole = given number of atom/ Avogadro number

       =   6.022×10²⁴   /   6.022×10²³  

      = 10 moles

Therefore, 10 moles are there.

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Answer:

A new organism in an ecosystem can either greatly downgrade the quality of the ecosystem, upgrade, or bring no significant changes. Although it does usually benefit the ecosystem, it's safe to say some organisms may bring a decline to vital animals already present in the ecosystem. For example, if a new and quite aggressive species are introduced to the ecosystem, it may not have natural predators that would control its amount. That would cause an overabundance of that species and a decline in other organisms that they feed on. It can overbreed and spread throughout the ecosystem eating all the species that can't compete with them (due to the fact that the ecosystem does not have a defense against them).

It's 8 points and you didn't even say thanks to the person who answered for you. smh

The quantum numbers show the position of the electrons.

The question has unclear options hence I would discuss the quantum numbers generally.

In quantum mechanics, the allowed quantum numbers depend on the physical system under consideration. However, in the case of an electron in an atom, the allowed quantum numbers are:

Principal quantum number (n): determines the overall energy and distance from the nucleus, where n = 1, 2, 3, and so on.

Azimuthal quantum number (l): determines the angular momentum and the shape of the orbital, where l can range from 0 to (n-1).

Magnetic quantum number (m): determines the orientation of the orbital in space, where m can range from -l to l.

Spin quantum number (s): determines the intrinsic angular momentum of the electron, where s = ±1/2.

The combination of these quantum numbers completely specifies an electron's state in an atom.

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7.90g  is the mass of a piece of iron that has a volume of 1.00 cm³.

It is the most abundant element on Earth by mass.

Iron has the chemical symbol Fe (from Latin: ferrum) as well as the atomic number 26. It is a metal from the periodic table's first transition series within group 8.

It is the most abundant element on Earth by mass, currently ahead behind oxygen (32.1% and 30.1%, respectively), and makes up much of the Earth's outer and inner cores.

density = mass /volume

7.90 g/cm³ = mass/ 1.00 cm³

mass = 7.90 ×1.00 g=7.90g

Therefore, 7.90g  is the mass of a piece of iron that has a volume of 1.00 cm³.

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Atomic ingestion The concentration of particular metal ions in a sample, such as calcium, iron, or copper, can be found using the characterisation technique known as spectrophotometry.

Ground-state metal atoms absorb light at extremely particular wavelengths that correspond to the energy required to trigger electronic transitions in their electron orbitals in a process known as atomic absorption. Atomic absorption and emission spectroscopy is a Spectro analytical method for determining chemical elements quantitatively using free atoms in the gaseous state. The foundation of atomic absorption spectroscopy is the light absorption of free metallic ions.

By using certain electromagnetic radiation wavelengths from a light source, atomic absorption spectrometry (AAS) may identify elements in either liquid or solid samples. Different wavelengths will be absorbed by different elements, and these absorbances are evaluated in comparison to standards. By absorbing energy (light) at a certain wavelength, an electron is stimulated from the ground state to a higher energy level. In atomic absorption spectroscopy, the type of atom (which element it is) and the energy levels the electrons are travelling to determine the wavelength of absorbed light.

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When the precipitate is washed, dried and weighed, then the percent by mass of silver in the alloy is 100%.

First, we need to determine the mass of the silver in the precipitate. We can do this by subtracting the mass of the filter paper from the mass of the filter paper and dried precipitate:

mass of precipitate = (mass of filter paper and dried precipitate) - (mass of filter paper)

mass of precipitate = 1.9332 g - 0.50000 g = 1.4332 g

Since all the silver in the alloy was converted to silver ions and then precipitated as silver chloride, the mass of silver in the precipitate is equal to the mass of silver in the original alloy. Therefore, the percent by mass of silver in the alloy is:

percent by mass of silver = (mass of silver / mass of alloy) x 100%

We just need to solve for the mass of silver. We know that the mass of the alloy was 4.3148 g, so the mass of silver must be:

mass of silver = mass of alloy - mass of other elements

Since we're assuming the alloy is pure silver and other elements, we can simply subtract the mass of the other elements from the mass of the alloy to get the mass of silver. We don't have information about the mass of other elements, but we can assume it's small enough to be negligible.

So, we have:

mass of silver = 4.3148 g - 0 g (assumed negligible) = 4.3148 g

Now we can calculate the percent by mass of silver:

percent by mass of silver = (mass of silver / mass of alloy) x 100%

percent by mass of silver = (4.3148 g / 4.3148 g) x 100%

percent by mass of silver = 100.00%

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The answer is c. Removing some CO (g). Removing some CO (g) will decrease the amount of CaO(8) in the system

The equilibrium expression for the reaction given is:

CaCO3(s) ↔ CaO(s) + CO2(g)

Removing some of the CO2(g) from the system will shift the equilibrium to the left, reducing the amount of CaO(s) in the system. This is because the reaction is exothermic and shifts to the side with the lower energy.

Mathematically, the reaction can be represented as:

CaCO3(s) + heat ↔ CaO(s) + CO2(g)

If we remove some of the CO2(g), the equation becomes:

CaCO3(s) + heat ↔ CaO(s)

This shift to the left reduces the amount of CaO(s) in the system.

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complete question:CaCO, (s) ở CaO (s) + CO, (g) AH' - 178 kJ/mol. The reaction system represented above is at equilibrium. Which of the following will decrease the amount of CaO(s) in the system?

a. Increasing the volume of the reaction vessel  

b. Lowering the temperature of the system

c. Removing some CO (g)

d. Removing some Caco, (s)

The statement that is true about Earth's water distribution is that the majority of the Earth's water is in the oceans.

Water is a transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's hydrosphere and the fluids of all known living organisms. It is vital for all known forms of life, even though it provides no calories or organic nutrients. Its chemical formula is H20, meaning each of its molecules contains one oxygen and two hydrogen atoms that are connected by covalent bonds. Water plays an important role in the world economy, as it functions as a solvent for a wide variety of chemical substances and facilitates industrial cooling and transportation. It is also essential for sanitation, hygiene, and the production of hydroelectric power.

This is evident from the graph, which shows that the oceans make up about 97% of Earth's water, while the other 3% is composed of freshwater lakes, rivers, and groundwater. This indicates that the vast majority of Earth's water is in the oceans, and that there is only a small amount of freshwater available for human use.

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The correct graph that represents the magnitude of the electric field as a function of the distance from the center of a solid charged conducting sphere of radius r is a graph that shows a linear relationship between the electric field (E) and the distance (r) from the center of the sphere.

The electric field is proportional to the inverse square of the distance from the center of the sphere, so the graph should show a decrease in magnitude as the distance from the center of the sphere increases.

The slope of the graph should also be steeper closer to the center of the sphere and gradually become less steep as the distance from the center increases. Therefore, the correct graph is a straight line that starts with a relatively steep slope and gradually becomes less steep as the distance from the center increases.

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The ram of a pile driver drops onto the top of an iron beam, driving it partway into the ground. the distance that the beam sinks into the ground depends on the:

Potential energy is the energy possessed by an object because of its position with respect to a reference. An example of potential energy is a stone placed on the edge of a table has a different potential energy from a stone placed on the floor.

For example, an unused bow will have zero potential energy. However, when pulled, this bow will have potential energy because of the tendency of the arrow to return to its original position.

Kinetic energy is the energy an object has because of its motion. The higher the speed of a moving object, the greater the energy it has.

For example, suppose a stone is dropped from a table into a glass below. When the glass is still on the table, the potential energy is great.

Then, just before the rock hits the glass, its potential energy approaches zero. However, the further down the motion energy is also greater. This motion energy causes the glass to break.

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The “rule” or reasoning that I used to compare the cubes is the equation between density, mass, and volume.

Density can be defined as mass per unit volume.  It is usually expressed in kilograms per cubic meter or grams per cubic centimeter. The formula for density is:

                                       Density = Mass ÷ Volume

where Mass is the total amount of matter in an object, and Volume is the amount of space that the object takes up.

A. The larger cube has more mass than the smaller cube. Х

B. The larger cube has less mass than the smaller cube. Х

C.  The larger cube melts at a higher temperature than the smaller cube. Х

D. The larger cube melts at a lower temperature than the smaller cube. X

E. The density of the larger cube is greater than the smaller cube. X

F. The density of the larger cube is less than the smaller cube. X

G. The larger cube is more likely to float in water than the smaller cube.

H. The larger cube is more likely to sink in water than the smaller cube.

I. The larger cube is made up of larger atoms than the smaller cube.

J. The larger cube is made up of smaller atoms than the smaller cube.

Hence, the true statements are marked above.

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The concentrations of each ion remaining in solution after the precipitation is complete are [Fe2+] = 0.0375 M, [PO43-] = 0.01875 M, [K+] = 0.1125 M, and [CH3COO-] = 0.0375 M.

What is Precipitation ?

Precipitation can occur in a variety of chemical reactions, but it is most commonly associated with double displacement reactions, where two ionic compounds are mixed together and the cations and anions switch partners. If one of the resulting products is insoluble, it will form a solid that will settle to the bottom of the container.

To solve this problem, we need to determine the products of the reaction between potassium phosphate (K3PO4) and iron (II) acetate (Fe(CH3COO)2), which will result in the precipitation of an insoluble salt.

The balanced chemical equation for the reaction is:

2Fe(CH3COO)2 + 3K3PO4 → Fe3(PO4)2 + 6CH3COOK

From the equation, we can see that the products of the reaction are iron(III) phosphate (Fe3(PO4)2) and potassium acetate (CH3COOK).

To determine the concentrations of the ions remaining in solution, we can use the following steps:

Calculate the number of moles of potassium phosphate and iron (II) acetate in the solutions:

moles of K3PO4 = 0.0750 M x 0.0750 L = 0.005625 mol

moles of Fe(CH3COO)2 = 0.0750 M x 0.0750 L = 0.005625 mol

Determine the limiting reactant. Since the stoichiometric ratio of K3PO4 to Fe(CH3COO)2 is 3:2, we can see that the limiting reactant is Fe(CH3COO)2, since we have an equal number of moles of both reactants.

Use the stoichiometry of the balanced chemical equation to calculate the number of moles of the products:

moles of Fe3(PO4)2 = (0.005625 mol Fe(CH3COO)2) x (1 mol Fe3(PO4)2 / 2 mol Fe(CH3COO)2) = 0.002813 mol

moles of CH3COOK = (0.005625 mol Fe(CH3COO)2) x (6 mol CH3COOK / 2 mol Fe(CH3COO)2) = 0.016875 mol

Calculate the concentrations of the remaining ions by subtracting the number of moles of the reactants from the number of moles of the initial solution and dividing by the total volume:

[Fe2+] = (0.005625 mol - 0 mol) / 0.150 L = 0.0375 M

[PO43-] = (0.005625 mol - 0.002813 mol) / 0.150 L = 0.01875 M

[K+] = (0.016875 mol - 0 mol) / 0.150 L = 0.1125 M

[CH3COO-] = (0.005625 mol - 0 mol) / 0.150 L = 0.0375 M

Therefore, the concentrations of each ion remaining in solution after the precipitation is complete are [Fe2+] = 0.0375 M, [PO43-] = 0.01875 M, [K+] = 0.1125 M, and [CH3COO-] = 0.0375 M.

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When a mixture of 56.0 g acetylene,C₂H₂ , and 81.0 g oxygen, O₂ , is ignited, the resultant combustion reaction produces CO₂ and H₂O. There are 27.144 g  C₂H₂,  91.872 g CO₂, and 18.792 g H₂O present after the reaction is complete with the oxygen as limiting reactant.

First we should write the balance chemical equation

2C₂H₂ + 5O₂ =4CO₂ + 2H₂O

Then we can calculate the moles of the reactant

Moles acetylene = mass / mass molar

Moles acetylene = 56 g / 26 g/ moles

Moles acetylene = 2.15  moles

Moles oxygen = mass / mass molar

Moles oxygen = 81 g / 31 g/ moles

Moles oxygen =  2.61 moles

From the reaction we know that 2 moles of acetylene reacted with 5 moles of oxygen produce 4 mole of carbon dioxide an 2 moles water. in this reaction oxygen fully reacted an acetylene excess so the limiting reactant is oxygen.

Because of oxygen is fully reacted the moles acetylene that present after reaction complete will be

Moles acetylene = 2/5 x mole oxygen

Moles acetylene = 2/5 x 2.61 moles

Moles acetylene =  1.044 moles

mass acetylene =  moles x mass molar

Mass acetylene = 1.044 moles x 26 g/ moles

Mass acetylene = 27.144 g

Moles CO₂= 4/5 x mole oxygen

Moles CO₂= 4/5 x 2.61

Moles CO₂=  2.088 moles

Mass CO₂ = moles x mass molar

Mass CO₂ = 2.088 moles x 44 g/ moles

Mass CO₂ = 91.872 g

Moles H₂O = 2/5 x mole oxygen

Moles H₂O = 2/5 x 2.61 moles

Moles H₂O =  1.044 moles

Mass H₂O = moles x mass molar

Mass H₂O = 1.044 moles x 18 g/ moles

Mass H₂O = 18.792 g

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The work done by the gas during an expansion is, -0.0242 MJ.

The work done by the gas during an expansion is given by the equation:

w = -P_extΔV

where P_ext is the external pressure,

ΔV is the change in volume of the gas.

The gas is expanding from an initial volume of 1.00 L to a final volume of 25.0 L, so:

ΔV = V_final - V_initial = 24.0 L

The external pressure is given as 1.00 atm = 1.01 × 10^-3 MPa

The work done by the gas is:

w = -P_extΔV = -(1.01 × 10^-3 MPa)(24.0 L) = -0.0242 MJ

Note that the negative sign indicates that the work is done by the gas on the surroundings.

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Diet Coke will float in a large container of water because it has less mass and therefore has less density than regular Coke.

The relationship between density and floating is that an object will float in a fluid if it is less dense than the fluid. This is because buoyant force, which is the upward force exerted by a fluid on an object immersed in it, is greater than the weight of the object.

On the other hand, an object will sink in a fluid if it is more dense than the fluid, because the weight of the object is greater than the buoyant force acting on it.

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The process of having a Na+ ion be caged by water molecules as a result of the attractive ion-dipole interactions is B.)exothermic.

The process of having Na+ be caged by water molecules as a result of attractive ion-dipole interactions is exothermic meaning it releases heat. This is because the formation of ion-dipole bonds between Na+ ion and water molecules is energetically favorable, resulting in release of energy in the form of heat.

In thermodynamics, exothermic process is a thermodynamic process that releases energy from the system to surroundings, in the form of heat, but sometimes in a form of light, electricity or sound.

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The statements that true is  A weak acid solution consists of mostly insoluble acid molecules.

The definition of a weak acid is something that partially dissociates into a solvent. This also implies that the majority of the molecules in a mild acid solution continue to be insoluble in their natural state.

A strong electrolyte is a solution in which all solute particles entirely separate into ions in a solvent.

A weak electrolyte, on the other hand, is a solution in which solute particles only partially split apart into ions.

As like dissolves like, a molecular compound is a covalent compound. In polar solvents like water, molecular molecules cannot dissolve.

Your question is incomplete but most probably your full question was Choose the statement below that is TRUE.

a. A weak acid solution consists of mostly non-ionized acid molecules.

b. The term "strong electrolyte" means that the substance is extremely reactive.

c. A strong acid solution consists of only partially ionized acid molecules.

d. The term "weak electrolyte" means that the substance is inert.

e. A molecular compound that does not ionize in solution is considered a strong electrolyte.

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To calculate the number of moles of AgNO₃ used in an experiment, we need to know the mass of AgNO₃ weighed out and the molar mass of AgNO₃.

By adding the atomic masses of the component elements, it is possible to get the molar mass of AgNO₃: AgNO₃ = Ag + N + 3O.

AgNO₃'s molar mass = as (1 × Ag atomic mass) + (1 × N atomic mass) + (3 × atomic mass of O)

AgNO₃'s molar mass = 1 × 107.87 g/mol + 1 × 14.01 g/mol + 3 × 16.00 g/mol.

∴ AgNO₃'s molar mass = 169.87 g/mol.

By dividing the mass of weighed-out AgNO₃ by its molar mass, we can now determine how many moles of AgNO₃ were utilized in the experiment:

AgNO₃'s mass and molar mass are used to calculate its moles.

For example: if 2.5 grams of AgNO₃ were weighed out at the beginning of the experiment, the calculation would be:

moles of AgNO₃ = 2.5 g ÷ 169.87 g/mol

moles of AgNO₃ = 0.0147 mol

∴, 0.0147 moles of AgNO₃ were used in the experiment.

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[NH3] will increase and [N2] and [H2] will decrease in concentration when the mixture comes to equilibrium.

What is concentration?

In chemistry, concentration is a measure of the amount of a substance in a given volume of a solution or mixture. It is usually expressed in terms of the number of moles of the substance per liters of solution or mixture.

We have an equilibrium constant of Ke = 1.2 at 375°C and the starting concentrations are [H2]0 = 0.76 M, [N2]0 = 0.60 M, and [NH3]0 = 0.48 M.

Concentration at equilibrium is,

N2(g) + 3H2(g) — 2 NH3 (g)

We shall determine whether the reaction will move forward or backward by calculating the reaction Q. If Q < K, the reaction will proceed forward so the concentration of reactants will decrease and that of products will increase. The opposite will happen if Q> K (reaction proceeds backwards).

[tex]Q= \frac{NH_{3} ^{2} }{[N_{2} ] [H_{2}]^{3} } = \frac{0.48^{2} }{(0.60) (0.76)^{3} } = 0.87[/tex]

Since Q < [tex]K_{cr}[/tex], the reaction will proceed forward. Therefore, the concentration of reactants N2 and H2 will decrease while the concentration of the product NH3 will increase.

Therefore, [NH3] will increase and [N2] and [H2] will decrease.

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Number of half-lives is 3

The decay of this radioactive unknown compound is a first-order process.

We can express the time dependence of its mass m using a first-order integrated rate law, where k is the rate constant:

mt = mass at time t

m0 = initial mass

t = time

Procedure:

1) We need to find "k":

From the first-order rate law we clear k,

[tex]\frac{mt}{mo} = e^{-kxt}[/tex]

㏑[tex](\frac{mt}{mo})= -kxt[/tex]

[tex]\frac{ln(\frac{mt}{mo}) }{-t} = k[/tex]

[tex]k=\frac{ln(\frac{65.59ng}{ 524.7 ng} )}{-47 }[/tex]

k = 0.044[tex]days^{-1}[/tex]

2) We find the half-life from the value of k we have just calculated:

[tex]t\frac{1}{2}[/tex] =[tex]\frac{ln2}{k}[/tex] = 15.7days

3) The number of half-lives of the unknown sample is:

Number of Half-lives = 47 days / 15.7 days = 3 (approx.)

Hence 3 is a correct answer.

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