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A $368-\mathrm{g}$ sample of water absorbs infrared radiation at $1.06 \times 10^{4} \mathrm{nm}$ from a carbon dioxide laser. Suppose all the absorbed radiation is converted to heat. Calculate the number of photons at this wavelength required to raise the temperature of the water by $5.00^{\circ} \mathrm{C}$.

$4.1 \times 10^{23}$ photons

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Rice 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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A 368 g sample of water ab…

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Water is exposed to infrar…

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Warm objects emit electrom…

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03:44

Assume that water absorbs …

Specific heat of water is …

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How many $550-\mathrm{nm}$…

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Photons of infrared radiat…

Okay, question 1071: o 7 right here, 107368 grams of amber water are stopping for radiation at 1 time 10 for nanometer from a carbonised later supposed on this sub radiation is converted to heat, concluded. The number of photons at this wave length required to raise the temperature of the water by 5 cars degree. And here we see we have. We have water n, equal 3 c, a gram and we have delta t because they say it raised by 5 set degree. Get lambda and now they asked us hit and when we see lambda sorry, when we see mass- and we see degree- and we know this in water, so we can calculate it right away. It equals m s, delta t an equal 3 c, a gram he suppacifated of water, a time for 4184 joule over rams and c 500 celsa degree, and now we can so c c. Then rama, and we should have this harmony. 188 times 10 negative end joe okay, and this is the heat to iras 3 ice of water, and now they ask you, a number of photons number of photons should be hono. Non misthis should be equal in calculate first, that's what mistakes should be equal 3699 joe- and this is the heat to increase the of water, and now they ask a number of photons 2 required to invade this. This amount of heat, but we had to complete the tom first of 1. We know the formula is equal. Alyscwhich should be a equal s c. Over lambda of 1 photons should be co c, 3 times 1034, joe segan and time for 3017 nanometer over. Second, a strong this will be over. Second here was a second here and i defy fr: lambda 1 boy, 04 times 1034 nanometer right and this nanomeanomete second second cancel. So the jo we have 1.88 times peety 24 joule and they ask us win the number of horton. We get this 176999, i joe that is equal number of photons, because we get a photon only 1 by 8 ri for e over 1 photon. Here and now we know this, it would be equal to 1.8 pi, so we'll get a number of photons would be a gal 77, not 769 nitro time for 1 photon divide for 1.88 times 10 uttered cancel for tom with a 4.095 something, but we had to Round up 4.1091023: okay, remember you get only 3 set fit here. 3 set fits. The final answer should be 3 set.

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