1B.28 Question about Mass


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Anirudh Mahadev 1G
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1B.28 Question about Mass

Postby Anirudh Mahadev 1G » Sat Oct 24, 2020 6:12 pm

1B.28 The uncertainty principle has negligible consequences for macroscopic objects. However, the properties of nanoparticles, which have dimensions ranging from a few to several hundred nanometers, may be different from those of larger particles.

(a) Calculate the minimum uncertainty in the speed of an electron confined in a nanoparticle with a diameter of 2.00×10^2 nm.

(b) Calculate the minimum uncertainty in the speed of a mobile Li+ ion confined to a nanoparticle of the same size.

(c) Which could be specified more accurately in a nanoparticle, the speed of an electron or the speed of a Li+ ion?

To find the mass of a Li+ atom, would you divide the molar mass of Lithium by Avogadro's number?
Last edited by Anirudh Mahadev 1G on Sat Oct 24, 2020 6:36 pm, edited 1 time in total.
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Justin Nguyen 3E
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Re: 1B.28 Question and Question about Uncertainty in Position

Postby Justin Nguyen 3E » Sat Oct 24, 2020 6:35 pm

Hi, to find the mass of a Li+ atom, you are right in that you would divide the molar mass of Lithium by Avogadro's number because the units would cancel out to get grams/ion. You would then divide that number by 1000 to get the mass in kg/atom which can be plugged into the heisenberg uncertainty equation.
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Anirudh Mahadev 1G
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Re: 1B.28 Question about Mass

Postby Anirudh Mahadev 1G » Sat Oct 24, 2020 6:37 pm

Justin Nguyen 1I wrote:Hi, to find the mass of a Li+ atom, you are right in that you would divide the molar mass of Lithium by Avogadro's number because the units would cancel out to get grams/ion. You would then divide that number by 1000 to get the mass in kg/atom which can be plugged into the heisenberg uncertainty equation.


Thank you!
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Tae Pasawat 2A
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Re: 1B.28 Question about Mass

Postby Tae Pasawat 2A » Sun Oct 25, 2020 1:32 am

Hi!

I can't seem to find the answers for these questions on sapling. Does anyone have the answers? Thank you so much1
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Thomas Vu 1A
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Re: 1B.28 Question about Mass

Postby Thomas Vu 1A » Sun Oct 25, 2020 6:38 pm

Tae Pasawat 2A wrote:Hi!

I can't seem to find the answers for these questions on sapling. Does anyone have the answers? Thank you so much1


For part a), I got 289.4 m/s and for part b) I got .0229 m/s. So, the lithium ion could be specified more accurately.
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Tae Pasawat 2A
Posts: 65
Joined: Tue Oct 06, 2020 12:16 am

Re: 1B.28 Question about Mass

Postby Tae Pasawat 2A » Mon Oct 26, 2020 1:33 am

Thomas Vu 3A wrote:
Tae Pasawat 2A wrote:Hi!

I can't seem to find the answers for these questions on sapling. Does anyone have the answers? Thank you so much1


For part a), I got 289.4 m/s and for part b) I got .0229 m/s. So, the lithium ion could be specified more accurately.


Thank you so much!
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