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Advanced Physics Homework Help
Finding quantum number n of molecule
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[QUOTE="leroyjenkens, post: 4538110, member: 162373"] [h2]Homework Statement [/h2] A nitrogen molecule (N2) has a mass of 4.68 x 10-26 kg. It is confined to a onedimensional box of length L = 100 nm. What is the approximate quantum number n of the molecule if it has a kinetic energy equal to the thermal energy kBT at room temperature? What is n if it has a thermal energy corresponding to T = 1 K? [h2]Homework Equations[/h2] [tex]E_n=n^2\frac{\pi^2\hbar^2}{2mL^2}[/tex][h2]The Attempt at a Solution[/h2] Well it seemed like it was just plug and chug, but I'm getting an answer that I don't like. I'm getting an answer for n = 1x10[SUP]14[/SUP]. That seems way too big. The units also don't make sense. According to the formula we have... [tex]j=\frac{j^2s^2}{kg(nm)^2}[/tex] But after just seeing an example, I see that that same formula can have c[SUP]2[/SUP] in both the numerator and denominator to make the units work out. But I still have the problem of having a huge quantum number. Is that number supposed to be that big? Thanks edit: oh and also in that example, it seems as though they converted the mass into electron volts using e=mc[sup]2[/sup], so I did the same thing and found the quantum number to be even higher. Now I'm getting 1.58x10[sup]15[/sup]. Is that a legitimate quantum number? I was thinking I would get small integers, like 1,2,3,4,etc. Thanks. [/QUOTE]
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Finding quantum number n of molecule
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