Calculate the average velocity in m/y of a tectonic plate that ha travelled 9000 km to the outh in 60 million year

Answers

Answer 1

The average velocity of a tectonic plate that has travelled 9000 km to the south in 60 million years is 0.15 m/y.

Average velocity can be obtained by dividing the total which is displacement travelled by the total time taken to cover the displacement. Average velocity can be positive or negative it depends upon the sign of the displacement. SI unit of average velocity can be expressed in meters per second (m/s).

Total displacement = 9000 km

9000 × 1000 = 9000000 m

Total time = 60 million years  

60000000 years  

Ave. Velocity = Total displacement / total time

Ave. Velocity = 9000000 / 60000000

Ave. Velocity = 0.15 m/y

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Related Questions

Which halogen or halogen-containing compound is typically used as a form of topical antisepsis?

Answers

The halogen or halogen-containing compound is typically used as a form of topical antisepsis will be "iodophor".

Iodine will be employed as an antiseptic in the manner of a tincture of iodine, essentially an alcoholic solution.

Iodophor would be an iodine-containing solution that also contains a solubilizing agent, like povidone or a surfactant. Iodophor would be a common sanitizer in the dairy but also brewing sectors. Generally, a high molecular weight carrier, commonly a polymer, has been polymerized with iodine.

Therefore, the halogen or halogen-containing compound is typically used as a form of topical antisepsis will be "iodophor".

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Cesium sulfite is formed from the cs cation and the so2−3 anion. What is the correct formula for this compound?

Answers

Cesium Sulfite is formed from the Cs cation and the SO₃⁻² anion. The correct formula for this compound is Cs₂SO₃.

What is Cation ?

Cations are positively charged ions. It forms when an element lose one or more electrons.


What is Anion ?

Anions are negatively charged ions. It form when an element gains one or more electrons.

Symbol         Cs⁺¹         SO₃⁻²

Valency           +1              -2

Formula of the compound is Cs₂SO₃.

Thus from the above conclusion we can say that Cesium Sulfite is formed from the Cs cation and the SO₃⁻² anion. The correct formula for this compound is Cs₂SO₃.

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Noble gases have __ values of ionization energy due to their complete outermost shells

Answers

Answer:

high

Explanation:

The energy needed to ionize a neutral atom is known as ionization energy. An atom must have one or more electrons removed from its valence shell in order to get ionized and become a cation. Alternately, you must produce an anion by adding one or more electrons to the valence shell. The energy needed for ionization will be lower the fewer electrons are supplied or withdrawn. As a result, atoms having an incomplete valence shell have a tendency to ionize more quickly and with less energy. However, entire valence shell atoms will require a large amount of ionization energy. As a result, noble gases need significant energy to ionize since they contain a full valence shell, are extremely stable, and do not tend to ionize easily.

Which of the following statements about the normal operation of nuclear fission reactors is accurate?
Select one:
a. They release large amounts of chemical pollutants into the air.
b. A small amount of fuel produces a large amount of energy.
c. The nuclear waste is quickly and safely disposed of at the reactor site.
d. The hot water surrounding the reactor core can be used to provide hot water for communities in the area.

Answers

Answer:

Explanation:

b

The reaction between calcium carbonate (CaCO3) and HCl produces calcium chloride (CaCl2), carbon dioxide (CO2), and water (H2O).What happens when the concentration of hydrogen chloride (HCl) molecules is doubled in this reaction?

CaCO3 + 2HCl → CaCl2 + CO2 + H2O

When the hydrogen chloride concentration doubles, the number of collisions between the reactants
, which causes the rate of the forward reaction to
.

Answers

When the hydrogen chloride concentration doubles, the number of collisions between the reactants becomes increased, which causes the rate of the forward reaction to be faster.

What is the rate of a reaction?

The rate of a reaction is how fast a chemical reaction occurs i.e. the conversion of reactants to products.

The rate of a chemical reaction can be influenced by certain factors including the concentration of reactants.

The more the concentration of a reactant, the more the collision between the reactants and hence, the faster the reaction will proceed.

Therefore, when the hydrogen chloride concentration doubles, the number of collisions between the reactants becomes increased, which causes the rate of the forward reaction to be faster

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Answer:1. increases 2. increases

Explanation:

Got it right on plato!

Calculate and record the expected mass of benzoic acid required to react with 20.00 mL of a 0.100 M sodium hydroxide solution. Record the mass of benzoic acid using three significant digits to reference later.

Answers

The mass of benzoic acid is 0.244 g.

Here use the concept of molarity.

What is molarity?

The amount of a substance in a specific volume of solution is known as its molarity (M). The moles of a solute per liter of a solution is known as molarity.

                            Molarity = no. of moles/volume (in L)

Calculation:

Given,

Molarity, M = 0.100 M

Volume, V = 20.00 mL = 20.0 × 10⁻³

To calculate,

Mass of benzoic acid C₇H₆O₂ =?

We know that,

Molecular mass of benzoic acid, C₇H₆O₂  = 122

No. of moles = weight/ molecular mass

The formula is modified as,

Molarity = weight of cholesterol/ (molecular mass) (Volume)

Put the values in the formula,

0.100 = Mass of benzoic acid/ (122) (20 × 10⁻³)

Mass of benzoic acid = 0.100 (122)(20 × 10⁻³)

                                    = 244 × 10⁻³

                                    = 0.244 g

Hence, the mass of benzoic acid is 0.244 g.

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10.0 g of nickel is cooled to 2.0 °C and
placed into a sample of warm water.
The final temperature of the water and
nickel was 63.4 °C. How much energy
is absorbed by the nickel?
J
CNi = 0.120 g. C
9Ni = [?] J

Answers

Answer:

73.68 J

Explanation:

To find the energy absorbed by nickel, you need to use the following equation:

Q = mcΔT

In this equation,

-----> Q = energy (J)

-----> m = mass (g)

-----> c = specific heat (J/g°C)

-----> ΔT = change in temperature

The change in temperature is found by subtracting the initial temperature from the final temperature. You can plug the given values into the equation and simplify to find the energy absorbed.

m = 10.0 g

c = 0.120 J/g°C

ΔT = 63.4 °C - 2.0 °C = 61.4 °C

Q = mcΔT

Q = (10.0 g)(0.120 J/g°C)(61.4 °C)

Q = 73.68  J

a sodium hydroxide solution is 19 M. What will the strength of the solution formed if 25 ml of this NaOH solutio nis diluted to 5.0 Liters

Answers

the strength of the solution formed is 3.8.

What is the strength of the solution?

The amount of solute dissolved in grammes per litre of the solution is used to determine the solution's strength. It stands for the solution's potency or concentration. It uses grammes per litre of expression.

Concentration of NaOH = 19 M

Initial volume of NaOH = 25 mL= 0.025 L

Moles of NaOH = 19*0.025

                        = 0.475 moles

Final volume of NaOH solution = 5 L

Final concentration = 0.475/5

                              = 0.095 M

so, the strength is 19/5

                            = 3.8

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Suppose a aqueous solution of phosphoric acid () is prepared. Calculate the equilibrium molarity of . You'll find information on the properties of phosphoric acid in the ALEKS Data resource.

Answers

The equilibrium molarity HPO²₄- = 6.2 x 10⁻⁸M See the explanation below.

What is Equilibrium Molarity?

The molar concentration of a certain species in a solution is known as equilibrium molarity.

What is the calculation showing the above answer?

The initial concentration H₃PO₄ = 0.31 M

Kₐ₁ = 6.92 x 10⁻³ (See Image 1 attached)

Kₐ₁ = [H⁺][tex]_{eq}[/tex][H₂PO₄-][tex]_{eq}[/tex] / [H₃PO₄][tex]_{eq}[/tex]

6.92⁻³ x 10 = [(x) * (x)] / (0.31 M - x)

Solving for x, x = 0.043 M

[H+] = x = 0.043 M

[H₂PO₄-] = x = 0.043 M 0.0429805

Kₐ₂ = 6.2 x 10⁻⁸

See the second attached table

Kₐ₂ = [H+][tex]_{eq}[/tex] [HPO₄²-]eq / [H₂PO₄-]eq

6.2 x 10⁻⁸ = [(0.043 M + x) * (x)] / (0.043 M - x)

Solving for x, x = 6.2 x 10⁻⁸ M

[H₂PO₄-]eq = x = 6.2 x 10⁻⁸ M

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Which of the following is the best definition of a chemical change?

A. All of these
B. The ability of something to undergo a change or reaction.
C. A change that alters the identity, or chemical composition, of a substance at the atomic level.
D. Something that can be observed or measured without changing the identity of the substance.

Answers

Chemical changes are changes that alter the identity or the chemical composition of substances at the atomic level.

What are chemical changes?

When a substance changes chemically, the identity of the substance changes.

In other words, chemical changes are changes that occur to substances such that the entire chemical properties of the substances change.

These changes happen at the atomic levels of substances. Sometimes, the changes can also be physical as well.

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Which of the following is an oxidation-reduction reaction?
SO2(g) + H2O(l) Right arrow. H2SO3(aq)
CaCO3(s) Right arrow. CaO(s) + CO2(g)
Ca(OH)2(s) + H2CO3(l) Right arrow. CaCO3(aq) + 2H2O(l)
C6H12O6(s) + 6O2(g) Right arrow. 6CO2(g) + 6H2O(l)

Answers

B. The chemical reaction that represents oxidation - reduction reaction is CaCO3(s) → CaO(s) + CO2(g).

Oxidation reduction reaction

In oxidation reduction reaction, the oxidizing agent is reduced while reducing agent is oxidized.

In the chemical equation below;

CaCO3(s) → CaO(s) + CO2(g)

Calcium (ca) is oxidized calcium (II) ion while the carbon (IV) oxide is reduced carbon (IV) oxide.

Thus, the chemical reaction that represents oxidation - reduction reaction is CaCO3(s) → CaO(s) + CO2(g).

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Answer: The answer is B

Explanation: on edge

Calculate the concentration of a solution if 15 g of salt is added to 170 g of water.​

Answers

Considering the definition of percentage by mass, the concentration of a solution if 15 g of salt is added to 170 g of water is 8.108 %.

Percentage by mass

The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.

In other words, the percentage by mass of a component of the solution is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.

The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage. This is:

[tex]percentage by mass=\frac{mass of solute}{mass of solution}x100[/tex]

Concentration of the solution

In this case, you know:

mass of solute= 15 gmass of water= 170 gmass of solution= mass of solute + mass of water= 15 + 170 g= 185 g

Replacing in the definition of percentage by mass:

[tex]percentage by mass=\frac{15 grams}{185 grams}x100[/tex]

Solving:

percent by mass= 8.108 %

Finally, the concentration of a solution if 15 g of salt is added to 170 g of water is 8.108 %.

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How many molecules of zinc oxide are there in a 2 kg (2,000 g) sample?

Answers

Answer:

1.48 x 10²⁵ molecules ZnO

Explanation:

To find the amount of molecules, you need to (1) convert grams to moles (via molar mass) and then (2) convert moles to molecules (via Avogadro's Number). It is important to arrange the conversions/ratios in a way that allows for the cancellation of units.

Molar Mass (ZnO): 65.380 g/mol + 15.998 g/mol

Molar Mass (ZnO): 81.378 g/mol

Avogadro's Number:

6.022 x 10²³ molecules = 1 mole

2,000 g ZnO           1 mole              6.022 x 10²³ molecules
---------------------  x  -----------------  x  ---------------------------------------  =  
                                81.378 g                          1 mole

=  1.48 x 10²⁵ molecules ZnO

What is the change in entropy (AS) when a solid substance decomposes and
produces gaseous products?

Answers

Entropy directs to the degree of disorderliness in a system. Generally, solids have a greater degree of order when corresponded to gas in which the molecules/particles move randomly in all directions.

The transformation in entropy from solid to gaseous phase is a positive change. Because there is increase disorderliness of the system.

What is entropy definition?

A campfire is an illustration of entropy. The solid wood burns and becomes ash, smoke and gases, all of which applied energy outwards more efficiently than the solid fuel. Ice melting, salt or sugar dissolving, constructing popcorn and boiling water for tea are processed with growing entropy in your kitchen.

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How many carbon monoxide molecules are in 0.75 moles of carbon monoxide?

Answers

Answer:

four 0.5 times 10 to the 23rd Adams of Neptune

Explanation:

Answer:

0.75 ( 6.02 × 10²³) = 4.515 x 10²³

Explanation:

0.75 ( 6.02 × 10²³) = 4.515 x 10²³

Sulfur has an oxidation number of +6 in which two formulas?

A. SO₂ and SO4²-

B. H₂SO4 and SO₂

C. SO3 and SO4²-

D. HSO4- and S₂03²-

Answers

Answer:

[tex] \sf \blue{B. H_{2}SO4 \: and \: SO_{2}}[/tex]

Explanation:

As we know in oxidation, oxygen is added and hydrogen is reduced. And in option B, we can observe that is oxygen added +6. So, we conclude that option B is valid.

Hope it help you

Classify the following alcohol as primary,
secondary or tertiary.
A. primary
ОН
B. secondary
C. tertiary
Enter

Answers

The classification of the alcohols gives;

Compound 1 - Primary alcoholCompound 2 - Tertiary alcoholCompound 3 - Secondary alcoholCompound 4 - Secondary alcohol

What are alcohols?

Organic compounds occurs in families. The family of compounds is called a homologous series. The homologous series always have a functional group. The functional group is the atom, group of atoms or bond that is responsible for the chemical reactivity of the members of a given homologous series.

Now we know that the alcohols are those organic compounds that contains the -OH group. The could be aliphatic or alicyclic compounds. We shall now proceed to name the kind of alcohols that each of the compounds shown are;

Compound 1 - Primary alcoholCompound 2 - Tertiary alcoholCompound 3 - Secondary alcoholCompound 4 - Secondary alcohol

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chemical change grade 10 mind map ​

Answers

Chemical change: A chemical reaction is the change of one chemical substance into another chemical substance. For instance: The rusting of iron, the curdling of milk, the digestion of food, breathing, etc.

What is a chemical reaction?

A chemical reaction results in a chemical change because a new material has entirely different properties from the original substance. In a chemical reaction, atoms rearrange themselves.Reactants are the chemicals that participate in a chemical reaction.Products are the new compounds created as a result of a chemical process.  An illustration of a chemical reaction is burning magnesium in the air to produce magnesium oxide.2Mg(s) + O2(g) △→ 2MgO(s)The magnesium ribbon is cleaned with sandpaper before being burned in the air. This cleans the magnesium ribbon's surface of the basic magnesium carbonate protecting coating.Reactant: Materials that participate in a chemical reaction are referred to as reactants. Mg and O2, as an example.A product is a newly created substance that results from a chemical reaction. Example: MgO.

A chemical reaction is the change of one chemical substance into another chemical substance.

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Chemical  change is the change  chemical substance is transformed into another chemical substance.It is irreversible in  nature , for example Reaction of medicine in body , milk to curd etc.

What is the difference between chemical and  Physical change?

1)Physical change temporary or reversible in nature but chemical change is irreversible in nature

2)In physical change there no new product is formed but in chemical change there formation of new product takes .

3) Physical change is change sin shape ,size or state for example freezing of water , melting of wax , and example of  Chemical change are Burning of  coal, digestion of food

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When a water heater thermostat is set at 140 ° f or higher, a ______ should be installed to cool the water.

Answers

Tempering Valve should be installed to cool the water.

A tempering valve is also called an anti-scald valve.

The thermostat controls the temperature inside the tank between 120F to 140F.

A thermostat is just a switch that is actuated by temperature. The thermostat will activates one of the elements in response to a "request for heat" when it detects a water temperature below its predetermined point.

At 140 degrees F temperature water can cause a burn to the skin in five seconds.

The Tempering valve is the mixing chamber, where cold water is mixed with hot water.  

It functions as a mixing device, mixing hot and cold water to generate the proper water temperature that is emitted from a certain outlet.

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What was the purpose of varying the concentrations of sodium alginate and CaCl2?

Answers

To determine how stable the beads are as well ensue the securing of maximum enzymes as well as the retention of their activity.

What is concentration?

The concentration of a substance simply means the amount of the substance in solution. Thus we are looking at the amounts of sodium alginate and CaCl2 in the system.

The concentrations of the sodium alginate and CaCl2 is varied in order to determine how stable the beads are as well ensue the securing of maximum enzymes as well as the retention of their activity.

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Calculate the freezing point depression for 1 kilogram of sodium chloride (NaCl) in 5 kilograms of
water. The Ky of water is -1.86 °C/m.

Answers

[tex]\\ \rm\dashrightarrow \Delta T_f=ik_fm[/tex]

m is molality

Moles of NaCl

1000/2343.4mol

Molality

43.4/58.68

[tex]\\ \rm\dashrightarrow \Delta T_f=i(-1.86)(8.68)[/tex]

[tex]\\ \rm\dashrightarrow \Delta T_f=-16.14i[/tex]

i is vant Hoff factor

For NaCl vant Hoff factor is 2( Actually 1.9)

[tex]\\ \rm\dashrightarrow \Delta T_f=-16.14(2)=-32.28°C[/tex]

Moles of NaCl

[tex]\\ \tt{:}\dashrightarrow \dfrac{1000g}{23g/mol}[/tex]

[tex]\\ \tt{:}\dashrightarrow 43.4mol[/tex]

Find Molality

[tex]\boxed{\sf Molality=\dfrac{Moles\:of\:solute}{Volume \:of\: solution\:in\:kg}}[/tex]

Volume of solution=1kg+5kg=6kg

[tex]\\ \tt{:}\dashrightarrow m=\dfrac{43.4}{6}=7.2m[/tex]

Vant Hoff factor

[tex]\\ \tt{:}\dashrightarrow NaCl\longrightarrow Na^++Cl^-[/tex]

i=2

Freezing point depression

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=iK_fm[/tex]

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=2(-1.86)(7.2)[/tex]

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=-26.7°C[/tex]

For what mechanistic reason does g1 of lactase first act as a brønsted acid during catalysis?.

Answers

Answer:  Carboxylation of hydroquinone

what discovery was found by Nels Bohr model of atom ?​

Answers

Answer:

What was Niels Bohr's most important discovery? Niels Bohr proposed a model of the atom in which the electron was able to occupy only certain orbits around the nucleus. This atomic model was the first to use quantum theory, in that the electrons were limited to specific orbits around the nucleus.

Explanation:

Subjects Of Study: atomic model

Meteorologists use weather balloons to carry weather instruments high into the atmosphere. when it is first released at earth’s surface, a weather balloon typically appears underinflated. what happens to the balloon’s volume and pressure as it rises into the atmosphere? check all that apply. the pressure in the balloon decreases. the pressure in the balloon increases. the volume of the balloon increases. the volume of the balloon decreases.

Answers

As the balloon rises, its volume grows because the external pressure is lower at higher altitudes, which causes the air molecules to expand more in order to reach mechanical equilibrium, where the external and internal pressures are equal. The balloon is underinflated because, in contrast to when it is on the ground, the pressure outside makes it difficult for gas molecules to push against the balloon's walls.As the balloon’s altitude increases, its volume also increases.At high altitude, the atmospheric pressure on the outside of the balloon is less that it is at Earth’s surface.As the pressure on the outside of the balloon decreases, the balloon’s volume increases because the pressure inside the balloon pushes the balloon outward.As the balloon’s volume increases, the pressure inside the balloon decreases until it is equal to the pressure on the outside of the balloon.In conclusion, condition verifications:

the pressure in the balloon decreases- True

the pressure in the balloon increases- False

the volume of the balloon increases- True

the volume of the balloon decreases- False

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The Venn diagram shown below compares the nuclear reactions in the sun and nuclear power plants.

Picture shows two ovals which overlap in the middle. The oval on the left has the label 'Sun' on top and 'A' within it. The oval on the right has the label 'Nuclear power plants' on top and 'Splitting of atoms' within it. The overlapping portion has the label 'Release of energy' within it.

What process is best described by A?

Destruction of atoms
Fission of atoms
Fusion of atoms
Repulsion of atoms

Answers

The process which is best described by "A" in this Venn diagram is: C. fusion of atoms.

What is nuclear fusion?

Nuclear fusion can be defined as a type of nuclear reaction that involves joining or combining two (2) smaller nuclei of atoms, so as to form a single heavier nucleus accompanied with the release of energy.

Based on the Venn diagram in the image attached below, we can logically deduce that the process which is best described by "A" is fusion of atoms.

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Describe the difference between radiopaque and radiolucent. Radiopaque refers to a _______________ or light appearance of a structure on a processed radiograph. Radiolucent refers to a _______________ appearance of a structure on a processed radiograph.

Answers

Radiopaque refers to a White or light appearance of a structure on a processed radiograph. Radiolucent refers to a Dark appearance of a structure on a processed radiograph.

What makes something radiodense as opposed to radiolucent?

Materials that prevent electromagnetic radiation from passing through are referred to as radiodense or radiopaque, whereas materials that permit radiation to pass more readily are referred to as radiolucent. In contrast to radiolucent volumes, which appear significantly darker on radiographs, radiopaque volumes of material seem white.

What exactly does radiodensity mean?

It is the relative inability of radio waves and X-rays to flow through a certain substance. Radiodensity (or radiopacity) is opacity to the radio wave and X-ray portion of the electromagnetic spectrum.

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What substitute for fossil fuel depletion has been heralded as the solution to the nation’s energy problems??

Answers

The renewable energies are the substitute for fossil fuel depletion has been heralded as the solution to the nation’s energy problems.

The benefits of renewable energies to the environment and economic are as follows.

The renewable energies produces less global warming.It also reliable and resilience.The  renewable energies helps to improve public health.Through renewable energies ,jobs and other economic gets benefits.The prices of  renewable energies is stable.The  renewable energies is inexhaustible energy.

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The enthalpy of fusion for Al is 10.7 kJ/mol. What is the energy change when 30.8 g of Al solidifies at 660°C?

Answers

The enthalpy of fusion for Al is 10.7 kJ/mol. -12.2 kJ is the energy change when 30.8 g of Al solidifies at 660°C.

What is Enthalpy of Fusion ?

The amount of energy needed to change 1 mole of substance under state change at constant temperature and pressure is called enthalpy of fusion. It is also known as Latent heat of fusion. Unit of enthalpy of fusion is kJ/mol.

How to find the change in energy ?

To find the change in energy use this expression:

q = n ΔH

where

q = Energy change

n = number of moles

ΔH = Molar enthalpy

Number of moles (n) = [tex]\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

                                  = [tex]\frac{30.8\ g}{26.98\ \text{g/mol}}[/tex]

                                  = 1.141 mol

Now put the values in above formula we get

q = - n ΔH                    [Negative sign is used because Al solidifies here]

  =  - (1.141 mol × 10.7 kJ/mol)

  = -12.2 kJ

Thus from the above conclusion we can say that The enthalpy of fusion for Al is 10.7 kJ/mol. -12.2 kJ is the energy change when 30.8 g of Al solidifies at 660°C.

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A first-order reaction is 81omplete in 264s. A. What is the half-life for this reaction? b. How long will it take for the reaction to reach 95ompletion?

Answers

A first-order reaction is 81omplete in 264s.The half-life for this reaction (i) t 1/2 = =3.465×10 −3 s.to reach 95% Completion = 285 s.

To measure reaction rates, chemists initiate the reaction, measure the concentration of the reactant or product at different times as the reaction progresses,

For a 0-order response, the mathematical expression that may be employed to determine the half of life is: t1/2 = [R]0/2k. For a first-order reaction, the half of-existence is given by: t1/2 = zero.693/ok. For a 2d-order response, the method for the half-life of the response is: 1/okay[R]0

The 1/2-life of a response (t1/2), is the quantity of time needed for a reactant concentration to lower via half of compared to its initial awareness. Its software is used in chemistry and medicine to are expecting the awareness of a substance over time

Half of the lifestyles is the time required for exactly 1/2 of the entities to decay   50%.

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If a 4L solution is 80% concentrated lime juice and 20% water, how much 30% concentrated lime juice must be added so that the concentration of the resulting solution is 50% concentrated lime juice

Answers

The volume of 30% concentrated lime juice that must be added to a 4L solution of 80% concentrated lime juice and 20% water is 6 L.

What are mixtures?

Mixtures are substances which are formed when two or more substances are physically combined together.

Mixtures are heterogenous in nature and the constituents can be easily separated.

The volume of 30% concentrated lime juice that must be added to a 4L solution of 80% concentrated lime juice and 20% water, so that the concentration of the resulting solution is 50% concentrated lime juice is determined as follows:

Let the volume of 30% lime juice required be x;

total volume of lime juice = 0.3x

For 80% lime juice, volume of lime juice = 0.8 * 4 = 3.2 L

New volume of lime juice = 4 + x

New amount of lime juice added = 3.2 + 0.3x

Also, new amount of lime juice = 0.5 * ( 4 + x)

3.2 + 0.3x = 0.5 * ( 4 + x)

0.2x = 1.2

x = 6 L

In conclusion, the volume to be added is obtained from the percent concentration.

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