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When light of frequency equal to $2.11 \times 10^{15} \mathrm{s}^{-1}$ shines on the surface of gold metal, the kinetic energy of ejected electrons is found to be $5.83 \times 10^{-19} \mathrm{J}$ What is the work function of gold?

$8.16 \times 10^{-19} \mathrm{J}$

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Drexel University

University of Kentucky

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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Okay, This question is asking gives this question, gives the frequency of certain light energy and asked us to find the work function of the electrons emitted. Where's the light strikes at golds surface. So there are several equations that we need to know. You need to know that energy is equal to the total energy is equal to the kinetic energy, which is safe K E right, plus the work plus work. We also need to know that energy is equal to Plank's constant times frequency of the electromagnetic radiation in this case, like so, given that we have the frequency of the light right here, we can find the total energy so we can say 6.63 times 10 to the native 34th which that is the plank's constant Mrs Jewels per second times. The frequency of the light, which is 2.11 times 10 to the 15th hurts. We know that we're on the right track because hurts and inverse seconds. We're going to cancel out and give us jewels, which is a unit of energy. And that is what we're looking for right now. So we get that total energy is equal to 1.39 times 10 toothy, negative 18th jewels. Okay, Now we can take this total energy, Plug it into the equation to the left, along with the given in the problem, the kinetic energy to find the work function. You say work is equal to energy. Modest, kinetic energy. So this would be 1.39 three mine times 10 to the negative. 18th Jules minus this impressive is just you. Keep track 5.83 times 10 to the negative. 19th jewels, which was given as a kinetic energy will give us the work function of the elections. Ejected from the gold which comes out as 8.16 times 10 to the negative 19th jewels. This is your answer. Thank you very much for listening.

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