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A 555 nm photon is emitted by a linear molecule, causing an electron to transition between states: If the initial state of the electron has an energy 6.56 eV, what ...

Question

A 555 nm photon is emitted by a linear molecule, causing an electron to transition between states: If the initial state of the electron has an energy 6.56 eV, what was the energy of the electron's final state?[Answer in units of eV, with 3 sig digits, but do not enter units with your answer]Your Answer:Your Answer

A 555 nm photon is emitted by a linear molecule, causing an electron to transition between states: If the initial state of the electron has an energy 6.56 eV, what was the energy of the electron's final state? [Answer in units of eV, with 3 sig digits, but do not enter units with your answer] Your Answer: Your Answer



Answers

(a) An atom initially in an energy level with $E=-6.52 \mathrm{eV}$ absorbs a photon that has wavelength $860 \mathrm{nm}$. What is the internal energy of the atom after it absorbs the photon? (b) An atom initially in an cnergy level with $E=-2.68 \mathrm{eV}$ emits a photon that has wavelength $420 \mathrm{nm}$. What is the internal energy of the atom after it emits the photon?

Hi, everyone. Here it is. Given the energy in turn, energy off. The atom is minus 6.52 electron gold it is observing foretold off prevalent 8 16 nanometer. We have to fight internal energy. Second part, if energy off. Thomas minus school. Quite 68 11 gold. And it is admitting the photo are equivalent 44 Contain elevator Dale, How much will be internal energy off that on that we have to find. So first we will calculate energy off photo energy off Photo is given by as she by London that is 6.63 and to the bar minus 34. Speed off light three to tend to the bar. Berate wavelength is 8 16 innovated so in solving it it is too weak in electron volt toe require the electron volt. We have to divide it by 116 and to 10 to the permanence. 19 So in election vote it is to be 1.4417 not comport. So internal energy off the atom. Initial energy plus energy off photo do that is 6.5 to negative plus 1.44 17 So it is equivalent toe minus 5.78 Reckon vote. Yeah, No. In second case, a doctrine fortune is admitted by the item. Internal energy is minus two points except and energy off. Photon baby 12400 Upon wavelength, that is 4 20 in tow. 10 to the power minus nine. So it is Toby equal toe to point 95 to reckon. Hold hands after ejecting internal energy off the atom will be minus or not minus energy. Off photo, that is already it is. Yeah. Minus 2.68 minus 2.952 So it is to be minus 5.78 left on board that soul. Thanks for watching it.

Great for this country. We started viewing atom debts has energy now is the energy states off negative 6.52 e v were given a eps up some photo on off with length 860 nanometers. So we didn't find what he sees energy off the photons that we added to our energy off the atom to get the final energy state, get him energy or default on for my taking its seal thunder. We're seeing heavy return as 1 to 4 through If he thought there meter right that by, you know, in 60 centimeters we should get, uh, energy de full time to be about 1.44 You ve therefore the final energy state off theatre. Just take the orginal energy. Plus the energy only fought on since it absorbs the photons to get us negative. Five points. You it even. Well, on the other hand, we have a second example. The the energy states that he fought on starts off it. Negative 2.6 feet. You ve and he meets a full time. So it was just the energy or the force which can be found by taking each see over the under it sees Want to force your TV dot millimeters and London is given to be 4 20 millimeters. So this gives us 2.96 you ve from which you need to subject away from the initial value Final will be just initial minus away. The energy photons is immediate the energy therefore you get negative 5.64 give you

This question. We start off with an atom Derris at an energy level. Off native 6.52 e v. And then we are given a absorbs the full time. And this bottle full tone has everything number off, you know, 60 centimeters not to finalize the energy after Yepes option. Well, the new energy prime would just be what? Your energy, plus the energy lt 4 20 in this case can be phoned by heading Hitch See over Lunda you see to be I went to 40 e veto centimeters Blunder is received 60 centimeters. So this will give us our answer in terms on TV. Quick Three. So we can't add him to get a and they should give us six to 1.44 e v negative. Five points. You eat e v. So the Sistine Internal energy off the atom after the absorption for the second case, we have the atom that is meeting a photo, so don't seek. See, don't exchange. We have ah Antam you do to boy 68 e v and enmity. Four talked. So it was thirsty energy. So energy after that be the energy minus to be in a show D four talk Do the simple says This should give us 2.96 e V, which we were subject from our negative 2.6 ft, which makes it negative 5.64 e v.

So this problem wants us to find the binding energy of the electron based on the kinetic energy and the energy of a photon. So we have the following equation that kinetic energy is the energy of the photon minus the binding energy of the electron. So we can rearrange that so we can solve for the binding energy. So that equals the energy of the photon minus the kinetic energy. And so the kinetic energy is given to us. But we need to find the energy of the photon ourselves. And so, to find the energy of the photon, we use the following equation. So the energy of the photon equals H C over the wavelength lambda. So our H is 6.626 times 10 to the minus 34th. That is plank's constant multiplied by C. The speed of light is 2.99 times 10 to the eighth meters per second, and the wavelength that gives us is in nanometers 0.989 And to convert that 2 m, we just multiply by 10 to the negative ninth. So now this value is in meters and that allows us to solve for the energy of a photon as 2.32 times 10 to the minus 16th jewels. And now the kinetic energy that it gives us is in electron volts, not jewels. So we want to convert this to electron volts by using the following conversion 6.4 to 6.242 times 10 to the 18th electron volts, her jewel. So now we can cancel the jewels and we get that. Our answer in electron volts is 12 50 electron volts. So now if we go back to R E binding equation, remember, E binding is the energy of the photon, which we just found to be 12 50 e v minus the kinetic energy which it gives us as 9 69 e. V. And so we know our energy of binding is to 81 e. V. However, we want our binding energy to be in killing joules per mole. So the first thing we do here is we take our 2 81 e v and convert that to Jules Per electron, which is 4.502 times 10 to the minus 17th. And that's Jules per electron and we want jewels per mole. So to get that, we just multiply by avocados. Number six point Oh, 22 times 10 to the 23rd. And that will give us our answer as 2.711 times 10 to the seventh times, 10 to the seventh jewels per mole. And now we can just convert this to kill the jewels promoted by multiplying by 1000. And we are dividing by 1000. And we get 2.71 times 10 to the fourth killer joules per mole, and that is our final answer.


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