1H35Cl has a force constant of 516 N⋅m−1 and a bond length of 127.5 pm. The isotopic mass of 1H atom is 1.0078 amu and the isotopic mass of 35Cl atom is 34.9689 amu. Calculate the frequencies of the light corresponding to the lowest energy pure vibrational transition and lowest energy pure rotational transition.

Answers

Answer 1

The frequencies of the light corresponding to the lowest energy pure vibrational transition and lowest energy pure rotational transition is 3.50 x 10¹⁰ Hz.

To calculate the frequency of the lowest energy pure vibrational transition, we can use the equation;

v = (1/2π) x √(k/μ)

where v is frequency, k is force constant, and μ is reduced mass of the molecule.

The reduced mass, μ, is given by;

μ = (m₁ x m₂) / (m₁ + m₂)

where m₁ and m₂ are masses of two atoms in the molecule.

For HCl, we have;

m₁ = 1.0078 amu (mass of H)

m₂ = 35.9689 amu (mass of Cl)

μ = (1.0078 x 34.9689) / (1.0078 + 34.9689)

= 0.9765 amu

Substituting this and the given values of k into the equation for frequency, we get;

v = (1/2π) x √(516 N⋅m⁻¹ / 0.9765 amu)

= 8.90 x 10¹² Hz

To calculate the frequency of the lowest energy pure rotational transition, we can use the equation;

v = B / 2π

where v is the frequency and B is the rotational constant, given by;

B = h / (8π²cI)

where h is Planck's constant, c is the speed of light, and I is the moment of inertia of the molecule.

The moment of inertia of a diatomic molecule is given by;

I = μr²

where r is the bond length.

Substituting the given values and constants into the equations, we get;

I = 0.9765 amu x (127.5 pm / 1e12 pm/amu)²

= 1.562 x 10⁻⁴⁶ kg m²

B = (6.626 x 10⁻³⁴ J s) / (8π² x 2.998 x 10⁸ m/s x 1.562 x 10⁻⁴⁶ kg m²)

= 10.5 cm⁻¹

Converting this to frequency, we get:

v = 10.5 cm⁻¹ x (1 m / 100 cm) x (1 Hz / 3.00 x 10¹⁰ cm/s)

= 3.50 x 10¹⁰ Hz

Therefore, the frequency is 3.50 x 10¹⁰ Hz.

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Related Questions

What is the average atomic mass of the isotopes shown in the table?
Isotope Abundance (%) Mass of Isotope (amu)
Isotope-A
54.0
17.984
Isotope-B
32.0
18.985
Isotope-C
14.0
19.982

Answers

Answer:

18.58

Explanation:

From the question given above, the following data were:

Isotope A:

Abundance of A = 54%

Mass of A = 17.984 amu

Isotope B:

Abundance of B = 32%

Mass of B = 18.985 amu

Isotope C:

Abundance of C = 14%

Mass of C = 19.982 amu

Average atomic mass =?

AVERAGE = [(Mass of A × A%)/100)] + [(Mass of B × B%)/100] + [(Mass of C × C%)/100]

AVERAGE = [(17.984 × 54%)/100] + [(18.985 × 32%)/100] + [(19.982 × 14%)/100]

= 9.71136 + 6.0752 + 2.79748

= 18.58

Therefore, the average atomic mass of the isotope is 18.58 amu


A gas at 127 celsius and 10.0 L expands to 20.0 L. What is the new
temperature in kelvin? (You must convert to Kelvin before calculating
this problem

Answers

Answer:

800.3 Kelvin

Explanation:

127°C = 400.15 Kelvin   (because 127 + 273.15)

Charles Law:

[tex]\frac{V1}{T1} = \frac{V2}{T2}[/tex]   Thus, [tex]\frac{10.0 L}{400.15 K} = \frac{20.0 L}{T2}[/tex]

Then, work out the math algebraically.  

T2 = 20.0 / (10.0/400.15)

= 20.0 / 0.02499...

= 800.3 Kelvin

This is assuming the pressure remains constant.

How cold does it really get on Pluto's moon, Charon? (I know this is not a Chem question per se, but is there no Earth Science, nor Space, nor Astronomy, nor General Science category on Brainly?)

Answers

Answer:

Explanation:

After various studies and experiments conducted on Pluto's moon, Charon it has been determined that it gets to minus 459.67 degrees Fahrenheit which would be equivalent to minus 273.15 degrees Celsius. This is the coldest temperature that scientists have registered for Charon. This temperature is nearing absolute zero and puts it colder than Pluto itself since Pluto's temperature is believed to get to minus 400 degrees Fahrenheit which is equivalent to minus 240 degrees Celcius.

true or false the membrane of rer is continuous with the outer layer of the mithochondrial membrane

Answers

Answer:

false

Explanation:

which of the following indicates the cathode rays has a large charge to mass ratio?

Answers

Answer:

Gggg

Explanation:

The indication of the cathode rays that has a large charge to mass ratio is there were deflected towards a positive electrode. The correct option is b.

What are cathode rays?

Cathode rays are the rays that move through the negatively charged electrode the cathode charge to the positively charged electrode which is the anode charge in a vacuum tube.

These rays travel through a pipe in a straight line with speed when there is voltage is applied. They are also called electron beams. There is a cathode ray tube, CRT, which is a vacuum tube on which cathode rays travel.

So, the correct option will be for the cathode rays would be deflected towards a positive charge anode.

Therefore, the correct option is b, there were deflected towards a positive electrode.

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The question is incomplete. Your most probably complete question is given below:

They were easily deflected

There were deflected towards a positive electrode

They were deflected towards a negative electrode

They caused a fluorescent screen to glow

Pascal’s Law states that when pressure is applied from an outside source to a contained fluid, the force is
a. transferred through the liquid in a single direction
b. transferred through the liquid in the opposite direction
c. transferred unequally through the liquid in all directions
d. transferred equally through the liquid in all directions

Answers

Answer:

a

Explanation:

Answer:

a.....................

4. How is a lead storage battery recharged?

a. It is heated up.

b. The pressure on it is increased.

c. A direct current is applied to it.

d. A magnet is held close to it.

Answers

The answer is c Yep Allll day
The answer is c because the lead storage evolves around the current that is directed towards the aplience

Four different people are using sound wave technology. Which describe the form of technology most likely being used by each person?

Answers

Answer:

Its D

Explanation:

Ali is using a specialized headphone that cancels the extra noise in the atmosphere.

Megan is using a transmitter to convert electrical signals into radio waves.

Kristoff is using a microphone to convert sound waves into the electrical signals.

Jenna is using the radio to convert radio waves into sound waves.

Answer:

D. Ali is using specialized headphones, Megan is using a transmitter, Kristoff is using a microphone, and Jenna is using a radio.

Explanation:

1s2, 2s2, 2p6, 3s2, 3p6, 4s2
After this atom gains or loses valence electron/s, what will the oxidation number be?

Answers

Answer:

if it gains then it will be negative to whatever number it has gained and the reverse for when it loses

Explanation:

Explain why the metals conduct electricity.


Write in your own words.
Please don't copy-paste from the internet.

Answers

Answer:

Metals conduct electricity because they have free Electrons in them which helps the current to move eaisily

20.What do carbon and silicon have in common?

a.They belong to the same column (family), therefore they have the same number of valence electrons.
b.They belong to the same column (family), therefore they have the same number of total electrons.
c.They belong to the same column (family), therefore they have the same number of energy levels.
d.They belong to the same column (family), therefore they have the same number of protons.

Answers


a.They belong to the same column (family), therefore they have the same number of valence electrons.

Energy that is stored is called potential energy. Take a round ball that is at rest at the top of the hill. The ball has a lot of potential energy, but no kinetic energy because it is not moving. Once the ball is released and it begins to roll, the potential energy the ball had initially is transformed into kinetic energy. The higher the ball is placed, the ____ potential energy it will have.
A-more B-less

Answers

The question says that when the ball is placed at the top of the hill it has a lot of potential energy. So I think the higher a ball is placed the more potential energy it will have

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.

Sexual reproduction involves male and female sex cells known as ______.

Answers

Answer:

Sexual reproduction involves male and female sex cells known as - Gametes

Explanation:

In sexual reproduction new organisms are produced from the fusion of a male sex cell with a female sex cell. This fusion of gametes is called fertilisation. Sex cells are also known as gametes. Male gametes are made by male reproductive structures. Female gametes are made by female reproductive structures.

The pH of a solution is 8. Some hydrochloric acid is added to the solution. Suggest the pH of the solution after mixing. pH=.......??

Answers

Answer:

By adding acid to hydrogencarbonate you create a large concentration of CO2 in solution causing the solution to be highly supersaturated. This keeps the pH down as CO2 is in equilibrium with carbonic acid. During the day long mixing the excess CO2 strips off and as acid leaves the solution the pH increases.

Explanation:

Hope it helps

A solution with a pH of 8 will have its pH reduced with the addition of hydrochloric acid.

What is pH?

It is the degree of acidity or alkalinity of solutions.

pH ranges from 0 to 14 with 7 being a neutral pH. Any pH below 7 is acidic while above 7 is basic.

Thus, a pH of 8 is basic and the addition of hydrochloric acid will reduce it towards 7 or even below it.

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Which situation is does NOT occur during a chemical reaction?
bonds are formed
bonds are broken
mass is conserved
atoms are destroyed

Answers

I’m pretty sure it’s bonds are broken

Is hydrogen bond an attraction between polar molecules

Answers

Answer:

No because if there was an attraction hydrogen would not do it's function

A chemist analyzes two samples. One sample contains 14g of element x and 6.0 g of element y. The second sample contains 28 g of element x and samples are the same substance

Answers

Answer:

Explanation:

Here's the complete question:

A chemist analyzes two samples.One sample contains 14g of element x and 6.0g of element y.The second sample contains 28g of element x and 6.0g of element y. Does it appear that the two samples are the same substance?

The two samples that we are given in the question are different. They are not the same thing because we can deduce that their components ratio are different.

Sample One contains 14g of element x and 6.0g of element y. The ratio of element x to y is 14/6 = 7/3 = 7:3.

Sample Two contains 28g of element x and 6.0g of element y. The ratio of element x to y is 28/6 = 14/3 = 14:3.

Therefore, they have different ratio for their components and are therefore not thesame.

Question 4 How many grams of LiOH are needed to make 100 ml of a 0.1 M solution?​

Answers

Explanation:

0.24 grams of LiOH are needed to make 100 ml of a 0.1 M solution

What are the three types of Covalent bonds? and what is the difference between them?
Help!!!
Plsss fastt

Answers

Answer:

Covalent bonds can be single, double, and triple bonds.

Explanation:

Single bonds occur when two electrons are shared and are composed of one sigma bond between the two atoms. Double bonds occur when four electrons are shared between the two atoms and consist of one sigma bond and one pi bond.

Fire ants move in to a new environment with the lizards.what will most likely happen to the lizard population over the next several years

Answers

Answer:

Some lizards in the eastern U.S. have adapted to invasive fire ants -- which can bite, sting, and kill lizards -- reversing geographical trends in behavioral and physical traits used to avoid predators. A new study describing this reversal appears online on November 29, 2018, in the journal Global Change Biology and reveals that new environmental challenges can override the historical influences that originally determined geographical trends in traits.

"Rapid environmental change, be it from changing climate or the introduction of invasive species, is putting a lot of pressure on native species," said Christopher Thawley, graduate student at Penn State at the time of the study and first author of the paper. "Usually when researchers look at how native species might respond to these kinds of threats, they might measure one characteristic of the animal and at one or a few sites. In this study, we looked at three separate characteristics of eastern fence lizards from thirteen sites spanning a thousand miles and found that these lizards are capable of adapting in a concerted way to meet the threat of invasive fire ants, and in a relatively short time frame."

Explanation:

Please help fast. I will give brainliest.

Answers

Answer:39 min

Explanation:

The human body has several major systems. Most body systems have multiple functions. Which of the following is NOT a major function of the musculoskeletal system?

A turning food into energy
B helping the lungs take in air
C helping the stomach digest food
D moving the bones of the skeleton

Answers

Answer:D

Explanation:

i got it right LOL

Among the given options, the one which is not a major function of musculoskeletal system is helping the lungs take in air. All others including, energy, digestion, movement of bones etc. are its function.

What are the functions of musculoskeletal system ?

The musculoskeletal system in human body is composed of muscles and bones. The bones in our body are wrapped by the muscles. Muscles helps for the smooth movement of bones.

Muscles convert the chemical energy from food into kinetic energy and use  it for the movement of muscles and bones. Muscles contraction needs intake of energy.

The contraction and relaxation of smooth muscles helps for the easy movement of food through the digestive track. Musculoskeletal system also helps for the movement of other organ system. Hence, option b is not the major function of this organ system.

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What evolution was evident in Darwin's finches?
1. beak type
2. leg muscles
3. wing span
4. eyesight

Answers

4. eyesight

explanation:
i’m not 100% bc you didn’t give any info on darwin

Answer:

sorry I don't know the answer hope you understand

can someone help w/ chem plzz

Answers

Answer:

my answer I think is tetrahedral

which is the odd man out? diamond,coal, graphite, bronze.answer with an explanation​

Answers

define p-block element?

Answer:

[tex]\boxed {\boxed {\sf D. \ Bronze}}[/tex]

Explanation:

Let's analyze the answer choices.

The first answer choices. diamond, coal, and graphite, all have something in common. They are allotropes of carbon. They are made of the same element, but each has a different arrangement of atoms, which leads to different properties.

Bronze is an alloy of copper, tin, and other metals. It's not an allotrope of carbon or related to the other answer choices. Therefore, it is the odd one out.

Look carefully at the list of objects and order
them from smallest to largest.
ant
atom
cell
dust particle
ping pong ball
Explain why you have them in this order. Be sure
to use a 5 complete thoughts.
:

Answers

Answer:

Atom, cell, dust particle, ant, ping pong ball

Explanation:

Firstly, atoms make up all matter, including each of the items on that list. The only things smaller than atoms are the parts of the atom itself, protons, neutrons and electrons. Because none of those are on that list, atoms have to be the smallest. Next smallest is the cell. Cells are made up of atoms, but they also in part make up dust. You can see a dust particle with the naked eye, but in order to see a cell you must use a microscope. Thus, cells are smaller than dust particles. Next is an ant. Obviously, an ant is bigger than a speck of dust, and is made up of cells and atoms. Lastly all you have is the ping pong ball, which is much larger than the rest of the items. Hope this helps!

All matter, including each thing on the list, is made up of atoms. The protons, neutrons, and electrons that make up an atom are the only particles smaller than atoms.

Thus,  Atoms must be the tiniest object because none of those are included in that list. The cell is the next smallest. Atoms make up cells, but dust also makes up a portion of them.

A dust particle can be seen with the unaided eye, but a microscope is required to see a cell.

Cells are hence smaller than dust particles. An ant comes next. Of course, an ant is composed of cells and atoms and is larger than a particle of dust.

Thus, All matter, including each thing on the list, is made up of atoms. The protons, neutrons, and electrons that make up an atom are the only particles smaller than atoms.

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How can you prove that air is a matter ?

Answers

Answer:

One way to prove that air is made of matter is to blow up a balloon. Before you add air into the balloon, it is empty and shapeless. When you puff air into it, the balloon expands, so you know it is filled with something—air is taking up space. You'll also notice that a balloon filled with air sinks to the ground.

Explanation:

explain how movements along faults generate earthquakes


Answers

Explanation:

When a plate moves it shifts the earth, and it can cause an earthquake.

A fault is where two of earth's tectonic plates come together. They can slide against the other, causing earthquakes, they can push against each other causing mountains to form, and they can move apart from each other, causing  valleys or trenches.

How many liters are there in 28g of B?

Answers

Hi
The volume is 58.1
The moler mass is 10.8
Molar mass details
10.81B (1*10.81)

Hope this helps
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