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What is the wavelength, in $\mathrm{nm}$, of radiation that has an energy content of $1.0 \times 10^{3} \mathrm{kJ} / \mathrm{mol} ?$ In which region of the electromagnetic spectrum is this radiation found?

The radiation is in ultraviolet region of the electromagnetic spectrum

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Carleton College

Rice University

Brown University

University of Toronto

Lectures

04:49

In chemistry and physics, electronic structure is the way the electrons of an atom are arranged in relationship to the nucleus. It is determined by the subshells the electrons are bound to, which are in turn determined by the principal quantum number ("n") and azimuthal quantum number ("l"). The electrons within an atom are attracted to the protons in the nucleus of that atom. The number of electrons bound to the nucleus is equal to the number of protons in the nucleus, which is called the atomic number ("Z"). The electrons are attracted to the nucleus by this mutual attraction and are bound to the nucleus. The electrons within an atom are attracted to each other and this attraction determines the electron configuration. The electron configuration is described by the term symbol, which is the letter used to identify each subshell.

16:45

In physics, the wave–particle duality is the concept that every object or process, no matter how large or how small, behaves as both a wave and a particle. The wave–particle duality is one of the central concepts in quantum mechanics.

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What is the wavelength (in…

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Okay, Well, this question is asking What is the wavelength of energy associated with a compound that has 1000 killer jewels per mole of energy? And and what range or what area of the electromagnetic spectrum it is in. So we can go ahead and start by saying 1000 killer jewels is equal to one million jewels because we know there's 1000 jewels and every killer jewel. Okay, I will say 1.0 times 10 in the sixth jewels. Permal. Okay. And we know that the energy, the equation that relates energy and frequency and wavelength, is energy of a photon and or other let giving thing is able to plank's constant times of frequency. Okay, so we know that this is for an individual electron photon something or Adam. Okay, so we need to go ahead and it's in. Find the energy associated with one molecule. Were Adam instead of one mole. So we will divide by avocados number, which is six point 0 to 2 times 10 to the 23rd. This is how maney particles are molecules in one mole of a substance. So this is going to give us 1.66 times 10 to the negative. 18th Jules Permal. Their jewels per molecule. Excuse me. So now that we have that we this is we can use this as the energy in this equation. Jules. Per we'll sit, Adam, so we don't get confused. So you go ahead and put this in as 1.66 charms. 10 to the 18th equals place constant, which is 6.63 times 10 to the negative. 34th joules per second times the frequency. Hey, and this is what we're looking for. So when we saw for frequency, we get that the frequency is equal to it is equal to 2.5 times 10 to the 15 hurts. So when we plug this into the equation that relates frequency and wavelength, where wavelength is equal to speed, what defined by frequency we would get that is equal to three times 10 to the eighth, which we notice the speed of light constant meters per second. Divided by we just found as it's we just found is the frequency. There's 2.5 times 10. True, the 15th hurts. We're going to get the wavelength to be 1.2 times 10 to the negative seventh meters which we can also convert two nanometers, which we know would be 100 29 years now the this would put it in the ultraviolet range. UV range is between 10 mana meters and 400 nanometers. This is just just lower. They're just the wavelength of this light is just low earth in the visible three of the visible spectrum which is just so we know that since it is obviously in between 10 animators and 400 a meters, the wavelength of this light given off is in the UV spectrum and has a specific wavelength of 120 nanometers.

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