Given that 1 kWh = 3. 6 MJ and that 1 Btu = 1055 J, show that 1 kWh = 3412 Btu.

Answers

Answer 1

Given that 1 kWh = 3. 6 MJ and that 1 Btu = 1055 J, It is shown that 1 kWh = 3412 Btu.

1 kilowatt (kWh) = 3.6 mega Joules (MJ)

1 British thermal unit (Btu) = 1055 Joules (J)

As we know that:

1 MJ = 1000000 J

Since

1 kWh = 3.6 x 1000000 J

Calculate for 1 J

1 J = 1 ÷ 1055 Btu

1 kWh = 3.6 x 1000000 x (1 ÷ 1055) Btu

1 kWh  = 3412.32 Btu

So it is calculated that 1 kilowatt (kWh) is equal to 3412 British thermal units (Btu).

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Related Questions

Find Delta S for the formation of 1 mole of PCl5(g) from its elements.
____ J/K

Answers

Answer:

I don't know I am sorry

A 6.25 g sample of magnetite (Fe 3O 4) contains 4.52 g of Fe. What are the percentages of iron and oxygen in magnetite

Answers

We used the formula percentage of iron magnetite=(Mass of Fe/Mass of Fe3O4)100%. We then calculated the percentages of iron magnetite (68%) and oxygen magnetite (32%).

Magnetite is a mineral and one of the most important iron ores, with the chemical formula Fe2+Fe3+2O4. It is a ferrimagnetic iron oxide that is attracted to a magnet and can be magnetized to become a permanent magnet. With the exception of extremely rare native iron deposits, it is the most magnetic of all naturally occurring minerals on Earth. Naturally magnetized pieces of magnetite, known as lodestone, will attract small pieces of iron, which is how ancient peoples discovered magnetism.

Magnetite is black or brownish-black with a metallic luster, has a Mohs hardness of 5-6, and leaves a black streak. Magnetite grains are very common in igneous and metamorphic rocks.

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A chemist determined by measurements that moles of silver participated in a chemical reaction. Calculate the mass of silver that participated in the chemical reaction.

Answers

A chemist determined that moles of silver participated in a chemical reaction using measurements. The mass of silver involved in the chemical reaction is 1.08 grams.

Moles of silver participated = 0.01

Molar mass of silver = 108 gram/mole

Weight of silver participated= mole* molar mass

                                                = 0.01*108 gram

                                                = 1.08 gram

A chemist (from the Greek chm(a) alchemy; replacing chymist from Medieval Latin alchemist)  is a scientist who studies chemistry. Chemists investigate the structure and properties of matter. Chemists meticulously describe the properties of molecules and their constituent atoms in terms of quantities. Chemists carefully measure the proportions of substances, the rates of chemical reactions, and other chemical properties. Pharmacists are commonly referred to as chemists in Commonwealth English.

Chemists apply their knowledge to learn the composition and properties of new substances, as well as to reproduce and synthesize large quantities of useful naturally occurring substances and to create new artificial substances and processes.

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A flask contains a mixture of N2 and O2 at STP. If the partial pressure of N2 is 40 kPa, what's the mole fraction o

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A flask contains a mixture of N₂ and O₂ at STP. If the partial pressure of N₂ is 40 kPa, the partial pressure of O₂ is 61.325 kPa.

STP is the abbreviation which is used for a Standard Temperature and Pressure. The standard temperature is 273 K as well as the standard pressure is 1 atm pressure.

1 atm = 101.325 kPa

According to Dalton's law, state's that the sum of the individual pressures exerted by the gases in a mixture is the total pressure.

[tex]P_{total}[/tex]= [tex]P_{A}[/tex] + [tex]P_{B}[/tex]

Therefore, [tex]P_{total}[/tex]= [tex]p_{n2}[/tex] + [tex]P_{O2}[/tex]  

[tex]P_{N2}[/tex] = 40kPa

[tex]P_{total}[/tex] = 101.325kPa

101.325kPa = 40kpa + [tex]P_{O2}[/tex]    

[tex]P_{O2}[/tex] = 61.325kpa

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

--"A flask contains a mixture of N₂ and O₂ at STP. If the partial pressure exerted by the N₂ is 40.0 kPa, the partial pressure of O₂ is?"--

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Write the equilibrium expression, Kc, for Reaction 4: H2 + I2 ⇌ 2HI (Hint: Because of the coefficient “2” in front of HI, you will have to square the concentration of HI to find Kc.)

Answers

The formula for the equilibrium constant is; [tex][HI]^{2} /[H_{2} ] [I_{2} ][/tex]

What is the equilibrium constant?

We know that when we talk about the equilibrium constant that we are looking at the kind of constant that shows the extent to which there has been the conversion of the reactants to the products.

We can be able to obtain the equilibrium constant of the system by the application of the law of mass action and this would give the correct6 form of the expression for the equilibrium constant. This is how we know which of the species would have the square.

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Select the correct answer. given: sno2 2h2 → sn 2h2o tin oxide reacts with hydrogen to produce tin and water. how many moles of sno2 are needed to produce 500.0 grams of sn?
a. 1.57
b. 4.21
c. 634.8
d. 59,350

Answers

4.21 moles of SnO₂ are needed to produce 500.0 grams of Sn for the given reaction.

What is tin oxide reaction?

Tin oxide, is a compound with the formula SnO₂. It is a white or gray powder that is insoluble in water but soluble in strong acids and strong alkalis. Tin oxide is widely used as a pigment in ceramics, glasses, and paints, and in the manufacture of electronic devices such as transistors and solar cells. It is a versatile compound with a wide range of uses and can undergo several important reactions such as: Reduction to tin metal, formation of tin dioxide, formation of tin salts by reaction with acids.

For the given reaction:

SnO₂ + 2H₂ → Sn + 2H₂O

Mole ratio of SnO₂ and Sn is 1:1; this means 1 mole of SnO₂ is required to prepare each mole of Sn.

Now, for the moles of Sn:

n = m/M

Where, n = number of moles

m = mass of Sn (500 g)

M = molar mass of Sn (118.71 g/mol)

n = 500/118.71

n = 4.21 moles

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Thiamine hydrochloride (vitamin B1 hydrochloride, HC12- H17ON4SCl2) is a weak acid with Ka 5 3. 4 3 1027. Sup- pose 3. 0 3 1025 g of thiamine hydrochloride is dissolved in 1. 00 L of water. Calculate the pH of the resulting solution. (Hint: This is a sufficiently dilute solution that the autoion- ization of water cannot be neglected. )

Answers

According to the given statement The pH of the resulting solution is 13.03.

How to calculate pH?

To calculate the pH of the resulting solution, we need to know the concentration of the thiamine hydrochloride ions in the solution.

The Ka value of thiamine hydrochloride is 5.3 x 10^-27. Since thiamine hydrochloride is a weak acid, it dissociates in water according to the following equation:

HC12-H17ON4SCl2 (s) <-> H+ (aq) + C12-H17ON4SCl2- (aq)

The product of the acid and the base concentrations is equal to the acid dissociation constant (Ka)

H+(aq) * C12-H17ON4SCl2- (aq) = Ka

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

3.0 x 10^-25 g of thiamine hydrochloride is dissolved in 1.00 L of water. The molar mass of thiamine hydrochloride is 337.29 g/mol. So we can calculate the number of moles of thiamine hydrochloride in the solution.

moles = mass / molar mass

moles = 3.0 x 10^-25 / 337.29 = 8.94 x 10^-28

Molarity = moles / liters = 8.94 x 10^-28 / 1 = 8.94 x 10^-28 M

Now we can substitute the concentration of thiamine hydrochloride into the equation for the acid dissociation constant.

Ka = [H+] * [C12-H17ON4SCl2-]

Ka = (x)(x) = 8.94 x 10^-28

We know the Ka value and we know the concentration of thiamine hydrochloride ions. So we can use the Ka value and the thiamine hydrochloride concentration to calculate the concentration of H+ ions in the solution.

x^2 = 8.94 x 10^-28

x = √(8.94 x 10^-28)

x = 9.4 x 10^-14

[H+] = x = 9.4 x 10^-14 M

The pH of the solution is calculated by taking the negative log of the H+ concentration:

pH = -log(9.4 x 10^-14)

pH = 13.03

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the diameter of a sodium atom, na, is larger than the diameter of a sodium ion, na , because the sodium ion has

Answers

Na+ has one fewer electron than Na, making it smaller and possessing a higher effective nuclear charge.

The fact that sodium ions have just two electron shells makes them smaller than sodium atoms for the main reason (the atom has three). Because they both have the same number of nucleons, the Na+ ion and Na atom have the same nuclear charge. Na+, on the other hand, has a smaller nuclear charge than Na because it has one fewer electron. Na+ is therefore smaller than Na because there is more attraction on the electrons that are already there. A sodium ion's size is smaller than that of a sodium atom.

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Identify the electron configuration of the metal ion in Fe(NO3)3.
O [Ar]3d6
O [Ar]4s23d6
O [Ar]4s23d3
O [Ar]4s23d6
O [Ar]3d5

Answers

[Ar]4s23d6 the electron configuration of the metal ion in Fe(NO3)3.

What electron arrangement does As3 have?

The noble gas krypton, which is isoelectronic with As arsenic 3 ion (As3), is isoelectronic with [Ar]3d104s2sp6 because it has gained three electrons.

Transition-metal ions are frequently referred to as having dn configurations because their valence electrons are mostly found in d orbitals. For instance, it is claimed that the Co3+ and Fe2+ ions have a d6 configuration.

The number of protons in the atomic nuclei of arsenic, abbreviated As, is 33. 33 electrons would likewise be present in a neutral As atom.

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How much horizontal force must be applied to a 1 kg puck to make it accelerate on a friction-free air table of 9.8 m/s2?

Answers

The force of 9.8 N must be applied to a 1 kg puck to make it accelerate on a friction-free air table of 9.8 m/s²​.

What is force?

Force is the influence that can change the state of the body of motion or rest. The S.I. unit of measurement of force can be written as Newton and force is a vector.

Force can change the direction as well as the speed. The force can be calculated from the mass (m) & acceleration.

F = ma

Given, the mass of the puck, m = 1 Kg

The acceleration  of the puck, a = 9.8 m/s²​

The force acting on the puck can be calculated as:

F = ma = 1 × 9.8

F = 9.8 N

Therefore, the force needed to apply on a puck is equal to 9.8 N.

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Is 1 mole equal to 1 molecule?

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No, a mole doesn't equal a molecule. Despite the fact that the terms "moles" and "molecules" are separate, the idea of "moles" can be used to quantify the number of molecules in a sample.

The primary distinction between a mole and a molecule is that a mole is a unit of measurement for amount whereas a molecule is an atomized chemical species.

A mole of a substance is the same number of molecules of that substance as there are carbon-12 atoms in precisely 12 g of the element. This indicates that the molecular weight of any material, stated in terms of atomic mass units, is equivalent to 1 mole of that substance's weight in grams.

Thus, a mole is an amount of 6.02210²³ particles, whereas a molecule has several atoms of different elements that are chemically connected to one another.

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A 0.5 g of naphthalene (C10H8) is burned in a bomb calorimeter containing 650g of water at an initial temperature of 20oC. After the reaction, the final temperature of the water is 26.4oC. The heat capacity of the calorimeter is 420 J/oC. Using these data, calculate the heat of combustion of naphthalene in kJ/mol.

Answers

Here, naphthalene is being burned in a water-filled bomb calorimeter.

What is Combustion?

Combustion is a chemical reaction between a fuel and an oxidizer in which heat, light, and other products of combustion are released. The most common type of combustion is the burning of hydrocarbon fuels, such as natural gas or gasoline, to produce carbon dioxide and water vapor as the main products.

Heat of combustion = [mass of water x specific heat capacity x (final temperature - initial temperature)] / (mass of naphthalene)

Heat of combustion = (650 g x 4.185 J/g∙°C x 6.4°C) / (0.5 g)

Heat of combustion = 16,914 J/g

Heat of combustion = 16,914 J/g x (1 mol/128 g)

Heat of combustion = 131.5 kJ/mol

Hence, the heat of combustion is 131.5 kJ/mol.

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name a solid that when burnt colourless gases are formed.One gas is strongly acidic while the other is slightly basic​

Answers

SULFUR

Sulfur is a solid that when burnt produces two colourless gases: sulfur dioxide (SO2) and sulfur trioxide (SO3). The gas SO2 is strongly acidic, while the gas SO3 is slightly basic. When SO3 is dissolved in water, it forms a solution called sulfuric acid, which is a strong acid. SO2 is also a corrosive gas that can be harmful to humans and the environment. It is often produced as a byproduct of industrial processes, such as the burning of fossil fuels and the production of sulfuric acid.

Hope This Helps You!

The density of ________ is 0.900 g/L at STP? a) CO
b)CH4
c) NO
d) Ne
e) N2

Answers

Answer:ne

Explanation:

In the last minute rush to assemble the demonstration, your teacher spills the lead chloride all over their sandwich and is left with 57.2 grams in the bottle. How much potassium iodide should be weighed out to convert all of the lead chloride to product?

Answers

Answer: Magnesium is being oxidized, and the chloride ion is being reduced. ... solutions of the reactants lead(II) nitrate and potassium iodide.

Explanation:

Provided below are pictures of three different scnearios in which two different chemicals are mixed together. for each scenario, make a claim about whether or not a chemical reaction is occuring. Provide evidence and reasoning to support your claim. If a reaction cannot be determined based on the provided picture, explain why not and how you could determine if a reaction has occured. Use specific examples in your explanation.

Answers

Looking at the images that we have, we can see that there is a reaction in the images A and C.

What is a reaction?

We would need to settle in our minds what is implied when we talk about a chemical reaction. You have to know that if we are talking about a chemical reaction then we are talking about the kiondfs of reaction that would lead to the following observations;

1) There is a change in the temperature of the system

2) There is an effervescence of gas in the system

3) There is a change in color

4) There is the appearance of a solid in the system

We would now have to look at all the setups that we have here and we have to look at it in such a way that we could know if there is a reaction that is going on in any of them as shown.

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Diatomic elements are important. what makes them different from other elemental substances?

Answers

Diatomic elements are molecules composed of two atoms of the same element covalently bonded together, as opposed to other elements which are composed of only one atom.

What is diatomic?

Diatomic elements are those elements that exist in nature as molecules made up of two atoms. Examples of diatomic elements include oxygen (O2), hydrogen (H2), nitrogen (N2), fluorine (F2), chlorine (Cl2), and iodine (I2). These elements are the only elements that exist naturally as diatomic molecules.

This gives diatomic elements distinct properties compared to other elemental substances, such as having two different electron configurations, and having different spin states. Diatomic elements also have properties that are unique to them, such as having different boiling points, higher densities, and different reactivity. Additionally, diatomic elements are essential for life as many are used in crucial biochemical processes.

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Which of the following molecules act as building blocks (monomers) of polypeptides?
A) 1, 4, and 6
B) 2, 7, and 8
C) 7, 8, and 13
D) 11, 12, and 13
E) 12, 13, and 15

Answers

B) 2, 7, and 8 of the following molecules act as building blocks (monomers) of polypeptides.

Are polypeptides' building components proteins?

You may think of it as several flavors that come together to form lengthy chains that we refer to as polypeptides, which are the fundamental components of proteins.

What types of bonds do polypeptides contain?

Peptide bonds bind the amino acids together in polypeptides. The interaction between the -carboxyl and -amino groups of two amino acids results in the formation of a dipeptide.

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how to separate soluble,insoluble and insoluble mixture

Answers

By the process of evaporation

the transaction of evaporation separates soluble, insoluble, and insoluble mixture

P4(s) + Cl₂(g) → PCI3(l) + energy 4. Calculate the gram-formula mass of the product. Show all work. g/mol ​

Answers

The gram formula mass of the product, PCl₃, is 137.5 g.

What is the gram formula mass of a compound?

The amount of a compound that has the same mass in grams as the formula mass in an atomic mass unit is said to have the compound's gram formula mass. It is also known as the molar mass.

Every element's atom has a characteristic mass, and each compound's molecule has a characteristic mass determined by the compound's formula.

The gram formula mass of the product PCl₃ is calculated below:

The atomic mass of P = 31 g

The atomic mass of Cl = 35.5 g

The gram formula mass of PCl₃ = 31 + 35.5 * 3

The gram formula mass of PCl₃ = 137.5 g

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What information does the percent composition of an atom in
a molecule give?
The relative number of atoms one element
contributes to a molecule
B. The total number of atoms of that element in a molecule
• C. The total mass that element contributes to a molecule a
O
D. The relative amount of mass an atom contributes to
a molecule

Answers

Answer:

I think Option no D is the suitable answer

What is molecular magnet? Draw 1 diagrams to show the arrangement of molecular magnets in magnet and magnetic substances. ​

Answers

Molecular magnets are molecules that contain one or more unpaired electrons, which give them magnetic properties. They are composed of two or more atoms that are held together by covalent bonds. The arrangement of molecular magnets in magnet and magnetic substances can be illustrated in the following

[Diagram of molecular magnets in magnet and magnetic substances]

List all the possible types of bonding for oxygen

Answers

Two covalent bonds are formed by oxygen to complete their octet.

What are covalent bonds?

An electron exchange that results in the formation of electron pairs between atoms is known as a covalent bond. Bonding pairs or sharing pairs are the names given to these electron pairs. Covalent bonding is the stable equilibrium of the attractive and repulsive forces between atoms when they share electrons.

What is an octet?

In chemistry, an octet is an arrangement of eight electrons in the outer electron shell of a noble gas atom. The relative inertness of noble gases and the chemical behaviour of several other elements are attributed to this structure.

What is oxygen?

The chemical element oxygen has an atomic number of 8. (it has eight protons in its nucleus). At normal temperatures and pressures, oxygen transforms into the chemical compound (O2) of two atoms, which is a colourless gas.

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What can help overcome a positive enthalpy of solution and allow a solid solute to dissolve in water

Answers

New ion-dipole or dipole-dipole attractions take effect if the solute is an ion or polar molecule on its own.

When things go well, they could release enough potential energy to partially offset the energy needed to integrate the solute into the structure. Ammonia dissolving in water is a striking illustration of this.  Solution's enthalpy. A solution is a uniform combination of two or more components that can exist in the solid, liquid, or gas phases. The amount of heat that is emitted or absorbed during the dissolving process is known as the enthalpy change of solution (at constant pressure).The solvent molecules begin to dissociate as a result. This process' enthalpy is referred to as. Since energy is needed to break the contact between the B molecules, this reaction, like the first, is always endothermic (). Let's try to picture what has transpired up to this point.

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When bonding, atoms seek to achieve a stable-


A.

noble gas configuration.



B.

halogen gas configuration.



C.

low ionization energy configuration.



D.

high electronegativity configuration

Answers

When bonding, atoms try to achieve a stable noble gas configuration.

Atoms are always trying to achieve stability. In the modern periodic table, noble gases present in the group 18 are the most stable. They have a completely filled outermost or the valence shell, that is, it contains 8 valence electrons in its valence shell.

Due to this stable electronic configuration, they are inert in nature, that is, they do not have a tendency to react by sharing or losing their electrons. When participating in a bonding, atoms try to lose or gain electrons to reach their nearest noble gas configuration and attain stability.

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Sort the following phrases as descriptions of alpha helices, beta turns or all alpha Helices 1st residue hydrogen- bonded to 5^th residue (that is, residue n is H- bonded to residue n + 4) all - NH groups point in the same direction Beta Sheets successive R groups point in opposite directions Beta Turns 1^st residue (that is, residue n is H- bonded to residue n+3 All contains-NH hydrogen bonded to C = O

Answers

An alpha helix is a type of secondary structure in proteins. It is a right-handed, coiled-coil structure that is stabilized by hydrogen bonds between the peptide backbone amide nitrogen and carbonyl oxygens of every fourth residue.

1st residue hydrogen-bonded to 5th residue (that is, residue n is H-bonded to residue n+4) - Alpha Helix

All NH groups point in the same direction - Beta Sheet

successive R groups point in opposite directions - Beta Sheet

1st residue (that is, residue n is hydrogen bonded to residue n+3) - Beta Turn

All contains-NH hydrogen bonded to C=O - Alpha Helix

In summary, the first phrase describes an Alpha Helix, the second and third phrases describe Beta Sheets, and the fourth phrase describes a Beta Turn, the fifth phrase also describes an Alpha Helix.

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What are the six physical properties associated with hazard recognition of hazardous materials/chemicals

Answers

The six physical properties associated with hazard recognition of hazardous materials/chemicals are Flammability, Reactivity, Toxicity, Corrosivity, Physical hazards, Health hazards are explained below with details.

1. Flammability: The ability of a material to catch fire and burn easily.

2. Reactivity: The ability of a material to chemically react with other materials, including the potential for explosions or release of toxic gases.

3. Toxicity: The ability of a material to cause harm or death when ingested, inhaled, or absorbed through the skin.

4. Corrosivity: The ability of a material to eat away at or damage other materials, including metals and human tissue.

5. Physical hazards: The potential of a material to cause harm through physical means, such as pressure, impact, or friction.

6. Health hazards: The potential of a material to cause harm to human health, including acute and chronic effects.

These are the six physical properties associated with hazard recognition of hazardous material.

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How does photosynthesis affect CO2 and O2 levels in the environment?

Answers

As a result of photosynthesis the level of CO₂ decrease and the the level of o2 increase in the environment.

Photosynthesis is a chemical process that occurs in algae, plants and some types of bacteria, when they are exposed to the sunlight. During photosynthesis, water and carbon dioxide will combine to form carbohydrates and gives off oxygen.

During photosynthesis, plants take carbon dioxide from the air. Within the plant cell carbon dioxide is reduced, meaning it gains electrons. This transforms the carbon dioxide into glucose. The plant then releases the oxygen back into the air, and stores energy within the glucose molecules.

Photosynthesis increases the content of the non-structural carbohydrates in the leaves which can lead to grater starch reserves and increased auxin biosynthesis.

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How do you calculate grams per mole?

Answers

Use the grams to moles formula to calculate the number of moles, n, of a substance with a given mass, m, (in grams) accurately, where M denotes the substance's molar mass. Typically, g/mol is used as the unit.

n = m / M

The mole is the SI unit used to measure a substance's quantity. There are precisely 6.02214085774× 10²³ atoms, molecules, or other particles in one mole of matter. The Avogadro number is this enormous magnitude. A mole of a substance is defined as a mass of material that contains exactly 12,000 g of 12C's exact number of atoms as fundamental units. The International System of Units uses the mole (symbol: mol) as the unit of material quantity (SI). 

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What are some examples of evidence that support Darwin's theories of evolution and natural selection?

Answers

Some examples of evidence that support Darwin's theories of evolution and natural selection , such as fossils and similarities between related living organisms.

Darwin employed certain sorts of evidence to support his hypothesis of natural selection, and these types of evidence are still used today. Examples include fossils and similarities between related living animals. Others, like DNA analysis, were unavailable to Darwin's generation but are now employed by scientists to further our understanding of evolution.  evidence supporting evolution: fossil strata, remains of extinct organisms, similarities between current-day organisms, DNA similarities, and embryonic similarity. Artificial selection, or breeding, is a crucial sort of evidence that Darwin looked at and is being looked at and employed today.

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The bar graph shows the average number of daylighthours by month for one location.Average Number of Daylight HoursHours between Sunrise and Sunset16:4814:2412:009:367:124:482:240:00Jan.Feb.Mark this and returnMarApr.MayJul.Aug Sep OdJun.MonthNov.Dec.Which statement is best supported by the data?O This location has more hours of daylight in winter thanin summer.O May has fewer hours of daylight than August.April and September have the most hours of daylight.OHours of daylight increase from January to June andthen start to decrease. Answer now for brainless How many years must a farm be run organically before its produce can be labeled as organic? How to solve this electrical circuit? What's the domain of a logarithmic function? A young woman is brought into a medical clinic by her husband. She complains of hyperactivity and weight loss. She also appears to be mentally sluggish and has difficulty concentrating when questioned by a nurse. There is a slight swelling in the anterior of her neck. Which condition do you suspect Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to 9. Samuel is comparing the average EPA ratings on 4 types of vehicles. He wants to drive a pickup truck, but he can see from the table below that he would use less gasoline if he drove a compact car. If Samueldrives an average of 13,000 miles per year, how many more gallons of gas would he need to buy for a pickup truck compared to a compact car?4-door SedanCompact CarPickup TruckSmall SUVEPA rating: 26 mpg (combined city and EPA rating: 32 mpg (combined city EPA rating: 20 mpg (combined city and EPA rating: 22 mpg (combined city andhighway)and highway)highway)highway)O221.25 gallons243.75 gallons250.25 gallonsO261.75 gallons How do you solve a 30 60 90 right? If a is 200% of b, what percent of 5a is 4b? What are some of the basic responsibilities of law enforcement supervisors? How do these responsibilities affect their obtainment of the best performance from their subordinates? How important is it to lead by example as a supervisor? x + 2y = -18-8x + 5y = -24substitution method How is gender a theme in Trifles? 12. Find T in the diagram, if R = 110 and S = 60. Businesses assess their information needs to determine the type of information that will help them deal with: The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?A. A love storyB. A strange and harrowing storyC. A story that is funny and entertainingD. A story that is boring and he really is not interested in hearing it PLEASE HELP PICTURE ATTACHED Given the diagram below, which statement is true?A. /1 and /2 are vertical angles and supplementary.B. /2 and /3 are complementary angles and congruent.C. /1 and /3 are vertical angles and congruent.D. /2 and /4 are supplementary angles and congruent. C is the centroid of ABD. find the following:1. If CD = 12, find FC. 2. If BG= 15, find BC. 3. If AE = 21, find EC.4. If FA = 6, find BA. 5. If CG = 3.5, find BC. WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm) Which single power is equivalent