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An atom moving at its root-mean-square speed at $20^{\circ} \mathrm{C}$ has a wavelength of $3.28 \times 10^{-11} \mathrm{m} .$ Identify the atom.

The atom is Neon

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Rice University

University of Maryland - University College

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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02:14

All right. So in this equation, there is this question we're gonna need to combine a few equations. So the root, mean, square velocity equation where philosophy is equal to square root of three times our, which we're going to say is 8.314 and then times Temperature and Kelvin. So we know that says 20 degrees, that's gonna be 200 in 93 degrees Kelvin, divided by the mass of the particle, which is what we need times off God Rose number, which is 6.2 times 10 to the 23rd. Okay, so the other equation one uses dobro Glee's equation Where which says that the velocity. So you go ahead and put this equal. Flossy particle is equal to Plank's constant, divided by the mass of the particle times its wavelength. So we'll go ahead and I don't plug this in for the wavelength to be says 3.28 times 10 to the negative 11th meters. And then we'll go ahead and say, actually write out plans. Constant, which is 6.63 times 10 to the negative 34. So when we go ahead and so all this out, we get that the mass of the particles. In this case, the Adam is 3.6 state, 3.36 times 10 to the negative, 26th kilograms per Adam. And so we can figure out which periodic table element it is by converting to atomic mass units. And to do so, all we need to do is divide this by 1.66 times 10 to the negative. 27th que kilograms. And doing so we get that the mass of the particle is 20 0.2 atomic mass units. And if we look at the period table, we can see that this matches the weight or the mass of neon. So this would be your final answer is neon and you get it from the knowing that the atomic mass unit is of the neon is 20 points to thank you

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