Sapling Weeks 5 and 6 Question #1

Boltzmann Equation for Entropy:

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Stella Nguyen 1J
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Sapling Weeks 5 and 6 Question #1

Postby Stella Nguyen 1J » Thu Feb 18, 2021 7:48 pm

Hi everyone!

I was a little confused about the answer to this question, which states that only NO and N2O would have a residual entropy. Why wouldn't CO2 also have a residual entropy? I remember Dr. Lavelle comparing CO2(g) vs. He(g) during one of the lectures, and he said that CO2(g) would have a higher entropy because the C and O atoms can have different vibrational states contribute to different states. Could you guys explain this to me?

1: On the basis of the structures of each of the molecules, predict which compounds would be most likely to have a residual entropy in their crystalline forms at T=0 K.
NO, Cl2, CO2, N2O

Thank you!

Mohamed Mido
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Re: Sapling Weeks 5 and 6 Question #1

Postby Mohamed Mido » Thu Feb 18, 2021 8:57 pm

From what I know the reason why CO2 and Cl2 don't have residual entropy is that they have a linear and symmetrical structure. NO and N2O do not have symmetrical structures and there's a possibility for more arrangements. I don't know about Professor Lavelle's comment about CO2 so someone confirm but I think he might have been saying that CO2 has higher entropy relative to Helium since Helium is a monatomic molecule and CO2 obviously isn't, but I don't know if he was making that comment with regard to residual entropy at absolute zero (T=0K).

Ven Chavez 2K
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Re: Sapling Weeks 5 and 6 Question #1

Postby Ven Chavez 2K » Sun Feb 21, 2021 12:54 pm

I believe that because at T=0 there is no vibrational entropy which means that the entropy is based on the possible number of orientations. NO, and N2O would have residual entropy because NO can either be N or . N2O would also have residual entropy and assuming the N is the central atom, then the second N and O can change swap positions. Cl2 is always Cl-Cl and CO2 always has the carbon as the central atom flanked by two oxygen. Because they are both oxygens, I think swapping them technically is not a different orientation.

Selena Quispe 2I
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Re: Sapling Weeks 5 and 6 Question #1

Postby Selena Quispe 2I » Sun Feb 21, 2021 2:13 pm

The compounds that would have residual entropy are those that are not symmetrical CO2 and Cl2 are perfectly symmetrical so moving them around doesn't cause changes so they will have no entropy. However NO and N20 are not symmetrical, they do not create a perfect crystal structure, and as a result these would have residual entropy

Olivia Monroy 1A
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Re: Sapling Weeks 5 and 6 Question #1

Postby Olivia Monroy 1A » Sun Feb 21, 2021 2:17 pm

CO2 and Cl2 (diatomic molecules in general..) are both symmetrical, rearranging the structures doesn't change anything while for the other molecules given there was variation in the structure arrangement which leads to residual entropy.

t_rasul2I
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Re: Sapling Weeks 5 and 6 Question #1

Postby t_rasul2I » Sun Feb 21, 2021 9:49 pm

I think NO2 would have residual entropy and not CO2 is because of the molecular arrangement. I'm not sure fully, but I think the 2 equal double bonds in CO2 makes it harder for molecules to have entropy whereas the hybridized state of the NO2 would have more movement and freedom for the electrons to move where they want.

VeronicaShepherd3B
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Re: Sapling Weeks 5 and 6 Question #1

Postby VeronicaShepherd3B » Fri Feb 11, 2022 9:00 pm

What does it mean to have crystalline form ? What does T stand for?

705573518
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Re: Sapling Weeks 5 and 6 Question #1

Postby 705573518 » Sun Feb 13, 2022 12:21 pm

VeronicaShepherd3B wrote:What does it mean to have crystalline form ? What does T stand for?



In this question, T just stand for temperature. The temperature is 0 K which is absolute 0.


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