Explain the significance of the line spectrum observed for the hydrogen atom by Neil bohr. What were the inadequacies of the bohr model? calculate the energy required to excite a hydrogen electron from level n=1 to n=3

Answers

Answer 1

The line spectrum observed for the hydrogen atom by Niels Bohr is significant because it provided evidence for the quantization of energy levels in atoms.

Bohr's model proposed that electrons in atoms occupy specific energy levels or orbits around the nucleus, and that they can only absorb or emit energy in discrete amounts as they transition between these energy levels. When an electron in hydrogen is excited to a higher energy level by absorbing energy, it eventually returns to its original energy level by emitting energy in the form of light, which is observed as the line spectrum.

However, the Bohr model had some inadequacies. It couldn't explain the spectral lines of atoms other than hydrogen, and it couldn't account for the fine structure of spectral lines due to electron spin. Also, the model violated the Heisenberg uncertainty principle, which states that it is impossible to simultaneously determine the exact position and momentum of an electron.

To calculate the energy required to excite a hydrogen electron from level n=1 to n=3, we can use the formula:

ΔE = E3 - E1 = (-13.6 eV/n²) [(1/3²) - (1/1²)]

where E1 and E3 are the energy levels corresponding to n=1 and n=3, respectively. Plugging in the values gives:

ΔE = (-13.6 eV/n²) [(1/3²) - (1/1²)] = (-13.6 eV) [(1/9) - 1] = 10.2 eV

Therefore, the energy required to excite a hydrogen electron from level n=1 to n=3 is 10.2 eV.

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Related Questions

When the following two solutions are mixed:
K2CO3(aq)+Fe(NO3)3(aq)
the mixture contains the ions listed below. Sort these species into spectator ions and ions that react.
Drag the appropriate items to their respective bins.
NO3-)aq), Fe3+ , CO3 2-, K+
Part B
What is the correct net ionic equation, including all coefficients, charges, and phases, for the following set of reactants? Assume that the contribution of protons from H2SO4 is near 100 %.
Ba(OH)2(aq)+H2SO4(aq)?

Answers

The net ionic equation for the reaction between [tex]Ba(OH)_2(aq) and H_2SO_^4 (aq)  is :2Ba^2^+(aq) + SO_4^2^-(aq) + 2H^+(aq) ⇒ 2Ba^2^+(aq) + 2H_2O[/tex]

When the following two solutions are mixed:

[tex]K_2CO_3(aq) + Fe(NO_3)_3(aq)[/tex], the mixture contains the following ions:

[tex]NO_3- (aq), Fe^3+, CO_3^ 2-, K^+[/tex]. The spectator ions are NO3- (aq) and K+, and the ions that react are Fe3+ and CO3 2-.

Hence , The correct net ionic equation, including all coefficients, charges, and phases, for the reactants [tex]Ba(OH)_2(aq) + H_2SO_4(aq) [/tex] is 2Ba^2^+(aq) + SO_4^2^-(aq) + 2H^+(aq) ⇒ 2Ba^2^+(aq) + 2H_2O[/tex] .
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Whats the difference between zinc amino acid chelate with any other type of zincs?​

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Answer:

chelated zinc is more easily absorbed than zinc on it's own.

which scientist conducted the gold foil experiment and discovered that the atom has a positively charged nucleus?

Answers

Ernest Rutherford, a New Zealand physicist, conducted the gold foil experiment and discovered that the atom has a positively charged nucleus.

In 1911, he conducted an experiment in which he fired alpha particles at a thin sheet of gold foil. The majority of the particles went straight through the gold foil, but a small percentage of the particles bounced back. He discovered that the bouncing back was caused by a small, positively charged nucleus at the center of the atom. Rutherford's experiment was crucial to our understanding of the structure of the atom. Prior to his experiment, the prevailing model of the atom was that it was a solid, indivisible sphere.

However, Rutherford's experiment showed that the atom was mostly empty space, with a positively charged nucleus at its center. This discovery paved the way for future research into atomic structure and helped to lay the foundation for the development of nuclear physics.

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Use these two constants for the question that follows:


e = 1.6 × 10^−19 C
k = 8.99 × 10^9 N m^2/C^2

A positive charge and a negative charge are 10^−15 m away from each other. Using Coulomb's law, which of the following is the electrical force between these two particles?
230 N
−230 N
120 N
−120 N

Answers

Answer: -230 N

Explanation:

The electrical force between two point charges q1 and q2 separated by a distance r is given by Coulomb's law:

F = k * (q1 * q2) / r^2

where k is the Coulomb constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.

In this case, we have a positive charge and a negative charge, which means that q1 and q2 have opposite signs. Let's assume that the positive charge has a magnitude of q and the negative charge has a magnitude of -q. Then, the electrical force between them can be calculated as:

F = k * (q * (-q)) / r^2 = -k * q^2 / r^2

Substituting the given values of e and k, we get:

F = - (8.99 × 10^9 N m^2/C^2) * (1.6 × 10^-19 C)^2 / (10^-15 m)^2 ≈ -230 N

Note that the negative sign indicates that the force is attractive, which is expected for opposite charges. Therefore, the correct answer is:

-230 N.

The idea of __________ asserts that some evolutionary changes may not even involve intermediate forms.
punctuated equilibrium

Answers

The idea of punctuated equilibrium asserts that some evolutionary changes may not even involve intermediate forms.

What is punctuated equilibrium?

The idea of punctuated equilibrium is a theory in evolutionary biology that proposes that most evolutionary changes occur relatively rapidly, with long periods of stability punctuated by rare instances of rapid evolutionary change.

The theory was first introduced by Niles Eldredge and Stephen Jay Gould in 1972 as a challenge to the traditional Darwinian theory of gradualism, which posits that evolution proceeds slowly and steadily over long periods of time.

According to punctuated equilibrium, some evolutionary changes may not even involve intermediate forms.

There are several examples of punctuated equilibrium in the fossil record, including the Cambrian explosion, which saw the sudden appearance of most major animal phyla in a relatively short period of time, and the rapid diversification of mammals following the extinction of the dinosaurs at the end of the Cretaceous period.

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knowing that solid sodium acetate is soluble and that acetic acid dissociates into hydrogen ions and acetate ions, why will sodium acetate influence the equilibrium of acetic acid dissociation?

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As sodium acetate is added to the solution, the sodium ions (Na+) will replace the hydrogen ions (H+) in the equation. This causes a shift in the equilibrium as the number of hydrogen ions (H+) decreases, while the number of acetate ions (CH3COO-) increases.

Sodium acetate is an ionic compound composed of Na⁺ and CH₃COO⁻ ions.

It dissociates in water to create these ions, which are then available to affect the dissociation of acetic acid.

The equilibrium of acetic acid dissociation is influenced by the addition of sodium acetate.

Acid dissociation equilibria are influenced by salt addition (usually sodium salts), particularly when the acid is weak.

This is due to the fact that the anion of the salt reacts with hydrogen ions from the acid's dissociation.

This decreases the concentration of hydrogen ions in the solution, causing the reaction to shift towards more dissociation.

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what is the function of the electron transport chain in cellular respiration ?

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The electron transport chain (ETC) is an essential part of cellular respiration, which is a series of molecules that transfer electrons from one molecule to another used by cells to convert nutrients into energy.

This starts with the oxidation of molecules such as glucose, which releases electrons that are then transferred to a series of electron carriers in the ETC. The electron carriers are molecules that hold the electrons and can transfer them to other molecules which is known as redox reactions. As the electrons move through the ETC, they release energy which is used to form a proton gradient that is then used to drive the synthesis of ATP, the energy currency of the cell. The ETC is an essential part of cellular respiration as it is the process responsible for generating the energy necessary for cells to function.

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students conducting research observe the rate of an enzyme-catalyzed reaction under various conditions with a fixed amount of enzyme in each sample. when will increasing the substrate concentration likely result in the greatest increase in the reaction rate?

Answers

Increasing the substrate concentration will likely result in the greatest increase in the reaction rate when the substrate concentration is lower than the concentration of the enzyme.

The concentration of the substrate affects the rate of reaction since there is a direct correlation between the number of enzyme-substrate complexes that are formed and the rate of reaction.

When there is more substrate, more enzyme-substrate complexes can form, resulting in an increase in the rate of reaction.

So, it is highly likely that when the substrate concentration is low, increasing the substrate concentration will result in the greatest increase in the reaction rate.

However, when the substrate concentration is already high, the reaction rate may not continue to increase as a result of increasing the substrate concentration.

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Predict the product(s) obtained when benzoquinone is treated with excess butadiene:

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When benzoquinone is treated with excess butadiene, the products obtained are 2,5-dimethylcyclohexadiene-1,4-dione and cyclohexene.

What is benzoquinone?

Benzoquinone is also known as 1,4-benzoquinone or cyclohexa-2,5-diene-1,4-dione, is a colorless organic compound. The presence of two carbonyl groups in its structure provides it its characteristic quinone chemistry.

Butadiene, also known as 1,3-butadiene, is a conjugated diene. The reaction between benzoquinone and butadiene is called a Diels-Alder reaction.

The Diels-Alder reaction is a conjugate addition reaction that joins a diene and a dienophile to create a new six-membered ring. The most important characteristic of the Diels-Alder reaction is its stereospecificity. This reaction occurs between a cyclic diene and an alkene or alkyne dienophile.

The products obtained when benzoquinone is treated with excess butadiene are:2,5-dimethylcyclohexadiene-1,4-dioneCyclohexeneThe reaction proceeds with the dienophile (benzoquinone) being attacked by the diene (butadiene) in the Diels-Alder reaction to produce a cyclic adduct. The product is 2,5-dimethylcyclohexadiene-1,4-dione. Cyclohexene is formed as a byproduct of the reaction.

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how should you write the volume dispensed by a 5 ml volumetric pipet?

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When writing the volume dispensed by a 5 ml volumetric pipet, it should be written as 5.00 mL.

A volumetric pipet is a laboratory instrument utilized to dispense very accurate and precise volumes of liquid. It is commonly used in analytical chemistry to make up solutions or to dilute stock solutions. Volumetric pipettes, also known as transfer pipettes or bulb pipettes, are single-volume liquid measuring instruments. They are meant to deliver a precise volume of liquid at a fixed temperature when the tip is slightly below the liquid surface.

It is important to write the volume with two decimal places to indicate the precision of the pipette.

Volumetric pipettes are utilized to prepare and dilute solutions. They are made of glass, with a round or conical end. They are intended to provide a precise volume of liquid, such as a certain number of milliliters or milligrams of a substance. Because of its accuracy, a volumetric pipet is used to create a standard solution.

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