Because a few alpha particles bounced back from the foil, rutherford concluded that they were:.

Answers

Answer 1

Ernest Rutherford concluded that the few alpha particles bounced back from the foil because they were deflected by a small, dense, and positively charged nucleus at the center of the atom.

Ernest Rutherford carried out the gold foil experiment in 1911. In the experiment, he bombarded a thin gold foil with alpha particles. The alpha particles were emitted by a radioactive source. The alpha particles should have passed through the gold foil as they were supposed to have a negligible size and should have moved straight through the gold atoms.

However, Rutherford observed that some alpha particles were deflected back from the gold foil. He concluded that the few alpha particles bounced back from the foil because they were deflected by a small, dense, and positively charged nucleus at the center of the atom.The nucleus was discovered by Rutherford in 1911, which changed the view of the atomic model. The previous model stated that the atom was a positive sphere in which electrons were embedded.

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Related Questions

Ariana is playing basketball with her friends. They are using an orange basketball. Why does her basketball look orange?


All visible light waves except orange are absorbed by the ball.
Only orange light waves are absorbed by the ball.
All visible light waves except orange are reflected by the ball
Only orange light waves reach the surface of the ball.

Answers

Ariana is playing basketball with her friends. They are using an orange basketball. Because all visible light waves except orange are absorbed by the ball.

The correct answer is A.

The color of an object is determined by the wavelengths of light that it reflects or absorbs.In the case of Ariana's basketball, it appears orange because it reflects orange light while absorbing other colors. When white light (which contains all visible colors) shines on the basketball, the orange light waves are reflected back to our eyes, while the other colors are absorbed by the ball. This selective absorption and reflection of light by the ball's surface result in us perceiving the basketball as orange in color.

The correct answer is A.

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Which of the following molecules has a trigonal planar shape? A P E X

Which of the following molecules has a trigonal planar shape? A P E X

Answers

Answer:

B. BF3

Explanation:

I did summoning jutsu on it and got it correct

What is the oxidation number of an element? PLz help. Will give brainliest to correct answer. explanation helpful but not required. Dont answer unless you know

What is the oxidation number of an element? PLz help. Will give brainliest to correct answer. explanation

Answers

Answer:

its eathe a or c a 50/50 chance

Answer:

Explanation:

its B

(please mark as brainliest if it's correct)

please help me
16 1 point What is the decay rate of a sample of Oxygen-21 if the sample has 8.31x1017 atoms and a decay constant of 0.203/s? 4.09x1018Bq 1.69x10¹7Bq 0.203Bq 2.44x10-1⁹Bq Previous

Answers

decay rate of approximately 1.69x10^17 Bq (becquerels),

The decay rate of a radioactive sample is determined by the number  of radioactive atoms present and the decay constant, which represents the probability of decay per unit of time.

To calculate the decay rate, we multiply the number of atoms in the sample by the decay constant. In this case, the sample has 8.31x10^17 atoms and a decay constant of 0.203/s. Multiplying these values gives a decay rate of approximately 1.69x10^17 Bq (becquerels), which represents the number of decays per second in the sample.

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consider the reaction zn (s) 2 hcl (aq) ---> zncl2 (aq) h2 (g) what volume (in milliliters)of 2.95 m hcl is needed to completely react with 2.70 g of zinc?

Answers

28.0 mL of 2.95 M HCl is needed to completely react with 2.70 g of zinc.

The balanced equation for the reaction between zinc and hydrochloric acid is: Zn(s) + 2HCl(aq) → ZnCl2(aq) + H2(g)

We can use stoichiometry to determine the amount of hydrochloric acid needed to react with 2.70 g of zinc, and then convert the amount to volume using the molarity of the hydrochloric acid.

First, we need to determine the number of moles of zinc in 2.70 g:

moles of Zn = mass of Zn / molar mass of Zn

moles of Zn = 2.70 g / 65.38 g/mol

moles of Zn = 0.0413 mol

According to the balanced equation, 2 moles of HCl are required to react with 1 mole of Zn. Therefore, we need:

moles of HCl = 2 x moles of Zn

moles of HCl = 2 x 0.0413 mol

moles of HCl = 0.0826 mol

Now we can use the definition of molarity to find the volume of 2.95 M HCl needed:

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

Rearranging the equation gives

Volume of solution (in liters) = moles of solute / molarity

Volume of solution (in liters) = 0.0826 mol / 2.95 mol/L

Volume of solution (in liters) = 0.028 L

Finally, we can convert the volume from liters to milliliters:

Volume of solution (in milliliters) = 0.028 L x 1000 mL/L

Volume of solution (in milliliters) = 28.0 mL

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Why are we able to see planets at night?

Answers

Answer:   Because planets do not have nuclear fusion, they do not produce their own light. Instead, they shine with light reflected from a star. When we see planets in the night sky, such as Venus, the so-called "Evening Star," we're seeing reflected sunlight.

Explanation:

reasons why large quantities of electricity is used for down's cell​

Answers

1.High energy demands: Down's cells require a large amount of energy to function effectively. The process of creating and maintaining the cells requires significant energy inputs to power equipment, lighting, heating, and cooling systems.

2.Manufacturing processes: Many of the processes involved in creating and maintaining Down's cells are energy-intensive. This includes cell replication, gene manipulation, and tissue culture.

3.Complex equipment: The equipment required for Down's cell research and production is often complex and requires significant energy inputs to operate. This includes centrifuges, microscopes, and other specialized equipment used in the lab.

4.Climate control: Down's cells must be kept at specific temperatures and humidity levels to maintain their integrity. This requires the use of energy-intensive climate control systems to maintain optimal conditions.

5.Data storage and processing: With the growing amount of data generated by Down's cell research, large quantities of electricity are also needed to store and process the data.

6.Extensive research and development: Down's cells are a relatively new area of research, which means that large amounts of electricity are used to power experimentation and the testing of new techniques and methods.

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what do hot subsurface waters contain when they are identified as hydrothermal solutions?

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Hydrothermal solutions are hot subsurface waters that are rich in minerals and gases. These waters are formed when groundwater or seawater is heated by the Earth's mantle and rises to the surface through cracks in the crust. When the hot water comes in contact with rocks and minerals, it dissolves them and becomes enriched with minerals and gases.

The minerals found in hydrothermal solutions include sulfur, copper, gold, silver, and zinc, among others. These minerals are often deposited around the vent or opening through which the water exits, creating mineral deposits known as hydrothermal vents. Hydrothermal solutions are also known to contain gases such as hydrogen sulfide, carbon dioxide, and methane.

These gases can create unique ecosystems around hydrothermal vents, providing energy and nutrients to organisms that live there. Overall, hydrothermal solutions are fascinating geological phenomena that have significant economic and ecological importance.

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Which statement is true for one molecule of sulfur trioxide?

A.
There are three atoms of sulfur and one atom of oxygen.
B.
There are three atoms of sulfur and three atoms of oxygen.
C.
There is one atom of sulfur and one atom of oxygen.
D.
There is one atom of sulfur and three atoms of oxygen.

Answers

The correct option is D, in sulfur trioxide there is one atom of sulfur and three atoms of oxygen.

Sulfur trioxide has a chemical formula  \(SO_{3}\) which clearly signifies one atom of sulfur and three atoms of oxygen.

In the case of option B: three atoms of sulfur and one atom of oxygen, do not make the chemical composition  \(SO_{3}.\) Hence option B is incorrect.

In the case of option C: one atom of sulfur and one atom of oxygen, do not make the chemical composition as \(SO_{3}.\). Hence option C is incorrect.

In the case of option D: one atom of sulfur and three atoms of oxygen, do not make the chemical composition  \(SO_{3}.\) Hence option D is incorrect.

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Why Farmers kill the silkworm inside the cocoon .​

Answers

Answer:

It allows the completion of the metamorphosis of the silkworm to its moth stage, whereas most silk harvesting requires the silkworms to be killed in their cocoon stage. No animals suffer or die for the silk to be produced, making it a favorable alternative to normal silk for those who do not believe in harming animals.

which statement best describes how the universe expands

Answers

The Big Bang Theory describes the formation of the universe, which scientists believe happened 13.7 billion years ago. The Big Bang Theory is a theory that explains the formation of the observable universe.

Under the Big Bang theory, the universe began as a very hot, very dense point in space that began expanding outward. It still expands today. This model describes the universe as a super ball with a very high density and temperature that explodes and is still expanding until today.

The Big Bang is a scientific theory about how the universe started and then made of group of stars known as the galaxies we see today.

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a process that releases heat, such as freezing or condensation is called? a) endothermic. b) nonthermic. c) low thermic. d) exothermic.

Answers

Exothermic refers to the process that produces heat. The correct response is thus d) exothermic.

Exothermic describes a chemical or physical reaction that produces heat or light as a byproduct. An exothermic reaction raises the temperature of the environment by releasing energy from the reactants to it. Combustion, oxidation, and neutralisation are a few examples of exothermic reactions. The opposite of endothermic processes, which draw energy from the environment and reduce temperature, is an exothermic reaction. Several chemical and industrial operations, including the creation of heat in power plants and the manufacture of steel, depend on exothermic reactions.

Examples of exothermic reactions are as follows:

Exothermic processes include the burning of fuels like wood, coal, and gasoline. that causes energy to be released as heat and light.

Reactions between acids and bases that produce salt and water and release energy are known as neutralisation reactions.

Reactions known as polymerization: Reactions known as polymerization involve connecting monomers to produce polymers and frequently release energy in the process.

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What is the volume of 5.07 grams of copper? The density of copper is 8.96g/mL

Answers

Explanation

Given:

Mass of copper = 5.07 g

Density of copper = 8.96 g/mL = 8960 g/L

Requested: Volume of copper

Solution

p = m/V where p is the density, m is the mass and V is the volume

m = p x V

V = m/p

V = 5.07 g/8.96 g/mL

V = 0.566 mL

Answer

Volume of copper = 0.566 mL

What is the correct order of steps to turn water into electrical energy?

Answers

1. Water flows through the penstock

2. The water then spins the blades in a turbine which, in turn, spins a generator that ultimately produces electrical energy

How do we convert water into electrical energy?

Hydropower, or hydroelectric power, is one of the oldest and largest sources of renewable energy, which uses the natural flow of moving water to generate electrical energy. The moving water is passed through a pipe also known as penstock, it then turns the blade of the turbine. which then rolls or spin a generator thereby electricity is produced.

The work of the turbine is to convert the kinetic energy of the running water into useable energy.

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Ammonia is made industrially by reacting nitrogen and hydrogen under pressure, at high temperature, and in the presence of a catalyst. The equation isN2(g) + 3H2(g) ------> 2NH3(g). If 4.0 mol of H2 react, how many moles of NH3 will be produced?

Answers

Answer:

From 4.0 moles of hydrogen 2.67 moles of ammonia are produced.

Explanation:

Given data:

Number of moles of hydrogen react = 4.0 mol

Number of moles of ammonia produced = ?

Solution:

Chemical equation:

N₂ + 3H₂     →       2NH₃

Now we will compare the moles of hydrogen and ammonia from balance chemical equation.

                          H₂               :              NH₃

                           3                :                2

                           4                :              2/3×4 = 2.67 mol

From 4.0 moles of hydrogen 2.67 moles of ammonia are produced.

   

Aluminum oxide (Al2O3) and iron (Fe) react according to the following
equation:
_Al2O3 + _Fe → _Fe304 +_AL
Balancing the equation requires inserting the correct coefficients to reflect
that no atoms are gained or lost in the reaction. Which is the correct set of
four coefficients, in order?
A. 3, 9, 3,6
B. 4, 9, 3,8
c. 1,3,1,2
D. 2, 8, 3,6

Aluminum oxide (Al2O3) and iron (Fe) react according to the followingequation:_Al2O3 + _Fe _Fe304 +_ALBalancing

Answers

B is the answer to your question

The correct set of coefficients, in order, to balance the equation is: 3, 9, 3, 6. Therefore, option (A) is correct.

To balance the chemical equation \(Al_{2}O_{3}\)+ Fe → \(Fe_{3}O_{4}\) + Al, we need to determine the coefficients that ensure the same number of atoms for each element on both sides of the equation.

In the given answer, A. 3, 9, 3, 6, the coefficients indicate that three molecules of aluminum oxide (\(Al_{2}O_{3}\)) and nine atoms of iron (Fe) react to form three molecules of iron(III) oxide (\(Fe_{3}O_{4}\)) and six atoms of aluminum (Al).

By balancing the equation with these coefficients, we ensure that the number of atoms of each element is conserved. This means that no atoms are gained or lost during the reaction, satisfying the principle of conservation of mass.

Balancing equations is crucial for accurately representing chemical reactions, as it ensures that the reactants and products are in the correct stoichiometric ratios and reflects the conservation of atoms.

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what do both prokaryotic and eukaryotic cells contain?

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The  prokaryotic cell and eukaryotic cell both contain the ribosomes. The Ribosomes are the non - membrane bound organelles.

The Eukaryotic cells contain the membrane - bound the organelles, such as the nucleus, the endoplasmic reticulum, the mitochondria while the prokaryotic cells do not contain the nucleus, endoplasmic and the mitochondria but the ribosome is the organelle that can be seen in the  both the prokaryotic cell and the eukaryotic cell.

The Prokaryotic and the eukaryotic ribosomes that is perform by the same functions that is the protein synthesis, however, the eukaryotic ribosomes are the much larger than the prokaryotic cell.

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Heavier noble gases are able to form compounds with other elements under specific conditions because their valence ____are farther from the _____

Answers

Answer:

Heavier noble gases are able to form compounds with other elements under specific conditions because their valence electrons are farther from the nucleus.

Explanation:

The name of noble or inert gas is due to the lack of reactivity with other elements. This is due to its electronic configuration, because its outermost shell or valence shell is always complete, without the need to share, give or receive electrons forming bonds. That is, its outer layer is so stable that the element tends not to react with others except in very specific cases.

These exceptions generally involve the heavier noble gases, such as xenon or radon, capable of forming compounds with fluorine and oxygen. This is because the heavier noble gases have more electron shells than the lighter ones. This characteristic causes the outermost electrons to experience a "shielding" effect due to the action of the inner electrons, and they can then be ionized more easily, since the attraction they receive from the positive charges of the nucleus is weaker. That makes the ionization energy low enough to form stable compounds with more electronegative elements, such as fluorine and oxygen.

Heavier noble gases are able to form compounds with other elements under specific conditions because their valence electrons are farther from the nucleus.

Which TWO words complete the gaps? To check if the cracking of a long-chain hydrocarbon has actually produced alkenes, the gas produced can be bubbled through __________ __________.

Answers

To check in case the splitting of a long-chain hydrocarbon has created alkenes, the gas created can be bubbled through natural gas or aromatic rich petroleum gas.

The first beginning of cracking of hydrocarbons is alkanes. The items of splitting incorporate alkanes and alkenes, individuals of a different homologous series.

An alkene could be a hydrocarbon that contains a carbon-carbon twofold bond. The longer alkanes are warmed, and their vapors are passed over a hot catalyst. This causes covalent bonds to break and change.

In thermal breaking, tall temperatures (ordinarily within the run of 450°C to 750°C) and weights (up to approximately 70 climates) are utilized to break the huge hydrocarbons into littler ones.

Thermal splitting gives blends of items containing tall extents of hydrocarbons with two-fold bonds - alkenes.

Catalytic cracking uses a temperature of approximately 550°C and a catalyst known as a zeolite which contains aluminum oxide and silicon oxide. Steam cracking uses a higher temperature of over 800°C and no catalyst.

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Select the correct answer.
Fraternal twins are formed when sperms fertilize two different eggs. What would you expect about the
twins' DNA and physical appearance?

They have similar DNA and they have identical physical appearances.

They have different DNA but exactly the same physical appearances.

They have similar DNA but environmental factors might cause changes in their physical
appearance.

They have different DNA and different physical appearance

Answers

Answer:

They have different DNA and different physical appearance

Explanation:

Because if the sperms fertilize two different eggs the DNA will be different too and if the sperms are different the physical appearance will be different also

hydrazine, , is a colorless liquid used as a rocket fuel. what is the enthalpy change for the process in which hydrazine is formed from its elements?

Answers

The formation of hydrazine from its constituent elements releases an enthalpy change of 96.2 kJ/mol.

The enthalpy change for the formation of hydrazine (N₂H₄) from its elements can be calculated using the standard enthalpies of the formation of the reactants and products. The balanced chemical equation for the formation of hydrazine from its elements is: N₂ + 2H₂ → N₂H₄

Using the standard enthalpies of formation of nitrogen gas (N₂), hydrogen gas (H₂), and hydrazine (N₂H₄), we can calculate the enthalpy change of the reaction using Hess's law. The standard enthalpies of formation of N₂, H₂, and N₂H4 are 0 kJ/mol, 0 kJ/mol, and 96.2 kJ/mol, respectively.

ΔH° = ΣnΔHf°(products) - ΣnΔHf°(reactants)

ΔH° = (1 mol × 96.2 kJ/mol) - (1 mol × 0 kJ/mol + 2 mol × 0 kJ/mol)

ΔH° = 96.2 kJ/mol

Therefore, the enthalpy change for the process in which hydrazine is formed from its elements is 96.2 kJ/mol. This represents the amount of heat that is released or absorbed when 1 mole of hydrazine is formed from its constituent elements under standard conditions.

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The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black. Points on the equipotential surfaces near the conductors are labeled a, b, c,. , h. An electron is placed at point e. Which way will the electron move?

Answers

B) I. Point I will experience the largest electric field because it is closest to the charged wires. The electric field magnitude increases with increasing proximity to the conductors.

What is a surface that is equipotential?

The surface known as the equipotential surface is the location of all points at the same potential. A charge can be moved effortlessly from one place on the equipotential surface to another. To put it another way, an equipotential surface is one that has the same electric potential at each point throughout.

Why would someone use an electron?

Using web technologies, desktop GUI apps can be created using the open-source framework Electron. The Chromium rendering engine and the Node. js runtime are used in its development and maintenance, processing and rendering HTML and CSS.

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begin moving a manual transmission vehicle on an uphill grade

Answers

To move a manual transmission vehicle on an uphill grade, follow these steps:

1. Prepare the vehicle: Ensure that the parking brake is engaged, and the gearshift is in the neutral position. Also, make sure your foot is on the brake pedal.

2. Clutch in: Depress the clutch pedal fully with your left foot. This disengages the engine from the transmission, allowing you to shift gears.

3. Start the engine: Turn the ignition key or press the engine start button to start the engine. Keep your foot on the brake pedal while doing this.

4. Select the appropriate gear: Determine which gear you need based on the steepness of the uphill grade. For a moderate uphill slope, use second gear. For steeper inclines, you may need to use first gear.

5. Release the parking brake: While keeping your foot on the brake pedal, release the parking brake lever or button.

6. Begin to release the clutch: Slowly begin to release the clutch pedal while simultaneously applying slight pressure to the accelerator pedal with your right foot. Be gentle and smooth to prevent stalling the engine or rolling backward.

7. Find the biting point: As you release the clutch pedal, you'll feel a point where the engine engages with the transmission. This is called the "biting point" or the point of friction. Hold the clutch at this position.

8. Gradually apply more throttle: With the clutch at the biting point, apply more pressure to the accelerator pedal to increase the engine's RPM. Be gradual and smooth, finding the right balance to prevent the vehicle from rolling backward.

9. Release the clutch fully: Once you've applied enough throttle and the vehicle starts moving forward, release the clutch pedal fully while maintaining steady pressure on the accelerator. This action allows the engine power to transfer to the wheels, propelling the vehicle uphill.

10. Continue driving: Once you've fully released the clutch and the vehicle is moving forward, you can shift to higher gears as needed to maintain speed.

Remember, it's essential to practice and become comfortable with clutch control to smoothly start and drive a manual transmission vehicle on uphill grades.

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H+ ions increase in concentration at lower pH values. Calculate how many more H+ ions there are in a solution at a pH = 2 than in a solution at a pH = 6. Find the concentration of H+ ions at a pH = 2 and at a pH = 6 in Table B. Then divide the concentration of H+ ions at a
pH = 2 by the of H+ ions at a pH = 6. Record your answer in Table C.
What is the concentration of H+ ions at a pH = 2?
mol/L
What is the concentration of H+ ions at a pH = 6?
mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
need ASAP give
brainliest

Answers

The number of hydrogen ions, H⁺, that are there in a solution at a

the pH of  2 than in a solution at a pH of 6 is 1000 or 10⁴.

What is the pH of a solution?

The pH of a solution is the negative logarithm in base 10 of the hydrogen ion concentration of the solution.

pH = - log [H⁺]

Hence, the hydrogen ion concentration of a solution whose pH is given is determined using the formula given below as follows:

\([H^{+}] = 10^{-pH}\)

For the solution of pH of 2

[H⁺] = 10⁻²

[H⁺] = 0.01 M

For the solution of pH of 6

[H⁺] = 10⁻⁶

[H⁺] = 0.000001 M

The ratio of the hydrogen ion concentration of the solutions will be:

Ratio of hydrogen ions = 0.01 / 0.000001 M

Ratio of hydrogen ions = 10000 or 10⁴

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Consider the model of a sodium atom. An orange circle labeled upper n a is surrounded by three concentric circles. The innermost ring has dots at the north and south positions. The next ring has eight dots, evenly spaced, with dots aligning with those in the inner ring. The outermost ring has one dot at the north position. Which feature does the model show accurately?.

Answers

Consider the model of a sodium atom. An orange circle labeled upper n a is surrounded by three concentric circles. The innermost ring has dots at the north and south positions. The next ring has eight dots, evenly spaced, with dots aligning with those in the inner ring. The outermost ring has one dot at the north position. The distribution of electrons in different shells feature does the model show accurately.

Using the atomic number of each element, we may depict its atomic structure. Therefore, you must first know the atomic number of sodium in order to depict its atomic structure.

The sodium atom has a number of 11. Any element's atomic number describes how many electrons are present in one of its atoms.

Always start your sentence with the element's atomic number. Knowing an object's atomic number also lets you know how many protons and electrons it contains. The number of protons and electrons is the same as it is in every stable atom. Consequently, you are also aware of the quantity of electrons.

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The complete question is ''Consider the model of a sodium atom. An orange circle labeled upper N a is surrounded by three concentric circles. The innermost ring has dots at the north and south positions. The next ring has eight dots, evenly spaced, with dots aligning with those in the inner ring. The outermost ring has one dot at the north position. Which feature does the model show accurately?

A) the size of the electrons in different shells

B) the shapes of the orbitals in different shells

C)the distribution of electrons in different shells

D)the orientation of the orbitals in different shells

HELP PLEASE ASAP!! How many atoms are in 2.50mol of cobalt?

_________ atoms​

Answers

One mole of cobalt contains 6.022 × 10²³ atoms and this number is called Avogadro number. Therefore, 2.50 mol of cobalt contains 15.05 × 10²³ atoms.

What is cobalt ?

Cobalt is 27th element in periodic table. It is a transition metals and thus, classified into d-block elements. Its group members are rhenium and iridium.

Atoms are the basic units of every substance. Any substance containing 6.022× 10²³ atoms is called one mole of the substance.This number 6.022 × 10²³ is called Avogadro number. Therefore, One mole of every elements contains Avogadro number of atoms.

One mole of cobalt contains 6.022 × 10²³ or Avogadro number of atoms. Thus number of atoms in 2.50 moles of cobalt is calculated by multiplying the number moles by Avogadro's number.

The number of atoms 2.50 moles of cobalt = 2.50 × 6.022 × 10²³

                                                                        = 15.05 × 10²³ atoms

Therefore, 2.50 moles of cobalt contains 15.05 × 10²³ atoms.

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g 5.00 mL sample of a nitric acid solution is titrated with 33.5 mL of 0.201 M NaOH. What is the molarity of the nitric acid solution?

Answers

To determine the molarity of the nitric acid solution, we can use the equation for the neutralization reaction. The molarity of the nitric acid solution is 1.35 M.

We can use the equation for the neutralization reaction between nitric acid (HNO3) and sodium hydroxide (NaOH). The balanced chemical equation for the neutralization reaction is:

HNO3 + NaOH → NaNO3 + H2O

From the balanced equation, we can see that the molar ratio between nitric acid and sodium hydroxide is 1:1. This means that the moles of nitric acid present in the solution can be calculated by using the concentration and volume of sodium hydroxide.

First, we need to calculate the moles of sodium hydroxide (NaOH):

moles of NaOH = concentration of NaOH * volume of NaOH in liters

= 0.201 M * 33.5 mL * (1 L / 1000 mL)

= 0.00674 mol

Since the molar ratio between nitric acid and sodium hydroxide is 1:1, the moles of nitric acid in the solution are also 0.00674 mol.

Next, we need to calculate the molarity of the nitric acid solution:

molarity of HNO3 = moles of HNO3 / volume of HNO3 in liters

We are given the volume of the nitric acid solution as 5.00 mL. Converting it to liters:

Volume of HNO3 = 5.00 mL * (1 L / 1000 mL)

= 0.00500 L

molarity of HNO3 = 0.00674 mol / 0.00500 L

= 1.35 M

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A researcher is interested in understanding if there is a difference in the proportion of undergrad and
grad students at UCI who prefer online teaching to in person teaching, at the α = 0.05 level. They take
2 samples, first, a sample of 300 undergrad students. The second, is a sample of 172 grad students. Of
the undergrads, 186 said they preferred online lectures, and of the graduate students, 104 said that they
prefer online lectures. Let p1 = the proportion of undergrad students who prefer online class and p2 =
the proportion of grad students who prefer online lectures.
(a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret
them in context of the problem).
(b) Calculate the test statistic.
(c) Calculate the critical value.
(d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the
critical value and the test statistic, and shade the critical region.
(e) Make and justify a statistical decision at the α = 0.05 level and state your conclusions in the context
of the problem.

Answers

(a) Null and alternative hypotheses:

H0: p1 = p2

Ha: p1 ≠ p2

(b) Test statistic:

test statistic = 0.402

(c) Critical value:

Critical value = ±1.96

(d) Distribution of test statistic under H0:

Picture with critical region shaded and values labeled.

(e) Statistical decision and conclusion:

At α = 0.05, fail to reject H0; there is no significant difference in the proportion of undergrad and grad students who prefer online teaching at UCI.

(a) The null and alternative hypotheses can be stated as follows:

Null hypothesis (H0): There is no difference in the proportion of undergrad and grad students who prefer online teaching.

Alternative hypothesis (Ha): There is a difference in the proportion of undergrad and grad students who prefer online teaching.

In mathematical notation:

H0: p1 = p2

Ha: p1 ≠ p2

where p1 represents the proportion of undergrad students who prefer online teaching and p2 represents the proportion of grad students who prefer online teaching.

(b) To calculate the test statistic, we need to compare the proportions and standardize the difference between them. The test statistic for comparing proportions is given by:

test statistic = (p1 - p2) / sqrt[(p1*(1-p1)/n1) + (p2*(1-p2)/n2)]

where n1 and n2 are the sample sizes for undergrad and grad students, respectively.

Given:

n1 = 300 (sample size of undergrad students)

n2 = 172 (sample size of grad students)

p1 = 186/300 = 0.62 (proportion of undergrad students who prefer online teaching)

p2 = 104/172 = 0.605 (proportion of grad students who prefer online teaching)

Substituting these values into the formula, we get:

test statistic = (0.62 - 0.605) / sqrt[(0.62*(1-0.62)/300) + (0.605*(1-0.605)/172)]

(c) To calculate the critical value, we need to determine the appropriate distribution for the test statistic. Since the sample sizes are large and the data is categorical, we can use the normal distribution to approximate the sampling distribution.

At the α = 0.05 level, we will be conducting a two-tailed test, so we need to find the critical values for the upper and lower tails. The critical value for a two-tailed test with α = 0.05 is z = ±1.96.

(d) The picture of the distribution of the test statistic under H0 will be a normal distribution with a mean of 0 and standard deviation of 1. The critical region will be shaded in the tails of the distribution corresponding to the α = 0.05 level. The critical value of ±1.96 will be marked on the x-axis, representing the boundaries of the critical region.

(e) To make a statistical decision at the α = 0.05 level, we compare the test statistic calculated in part (b) to the critical values from part (c). If the test statistic falls within the critical region, we reject the null hypothesis. Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

After comparing the test statistic to the critical values, if the test statistic is greater than 1.96 or less than -1.96, we reject the null hypothesis. If the test statistic is between -1.96 and 1.96, we fail to reject the null hypothesis.

Finally, we state our conclusions in the context of the problem.

Learn more about Test statistic

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Given: K for acetic acid is 1.8 X 10–5You are titrating 0.108 M NaOH into 142.0 ml of acetic acid of unknown concentration. You have an indicator that will change color when equivalence is reached. At equivalence, you have added 72.0 ml of the base. Calculate molarity of the acid. What is the pH of the solution at the equivalence point? Now that you know the molarity of the acid, find pH when you mix 50.0ml of the acid with 75.0 ml of the same NaOH solution. Now you are working with different acid and base, both weak. K for the acid is 2.25 X 10-5. You mix 63 ml of 0.275 M acid with 55.0 ml of a weak base of concentration 0.188 M. Find pH

Answers

Answer:

Explanation:0.493 M NaOH means 0.493 mol NaOH/L

mols

mols = ------ x L

L

mols = M x V

In a titration procedure, 40.57 mL of 0.493 M NaOH solution was used. How many mols NaOH did this volume of NaOH solution contain?

mols = M x V

0.493 mols NaOH

mols = ----------------------- x 0.04057 L

L

mols = 0.0200 mols NaOH

Explain why fluoride ion is smaller than chloride ion.​

Answers

Because the nucleus can't hold the 18 electrons in the Cl- ion as tightly as the 17 electrons in the neutral atom, the negative ion is significantly larger than the atom from which it forms. For the same reason, positive ions should be smaller than the atoms from which they are formed.

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