Is the rise in mercury level due to a change in pressure or temperature?

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Homework Help Overview

The discussion revolves around a thermodynamic scenario involving a tube open at both ends, immersed in mercury, where the top end is sealed and the tube is raised. Participants are exploring the reasons behind the rise of mercury inside the tube and the nature of the thermodynamic process occurring during this action.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of raising the tube on the pressure and volume of the gas inside, questioning whether the process is isothermal or involves other thermodynamic principles. There are inquiries about the heat exchange and the conditions under which the mercury rises.

Discussion Status

Some participants have offered insights regarding the nature of the process, with one confirming that the system is not adiabatic and suggesting that the temperature will equilibrate with the ambient temperature. However, there remains uncertainty about whether the transformation is indeed isothermal, leading to further questioning and exploration of assumptions.

Contextual Notes

Participants are considering factors such as heat exchange due to friction and the time it takes for the system to reach thermal equilibrium with the environment. There is an acknowledgment of the complexity of the situation and the need for clarification on the thermodynamic processes involved.

AdityaDev
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Homework Statement


A tube which is open at both ends is immersed in a beaker containing mercury. The top end which comes out of the mercury level is now sealed and then the tube is raised by some height such that some part still remains inside the beaker. The mercury inside the tube rises.
Which thermodynamic process takes place?
Why does the mercury inside the tube rise?

Homework Equations



none.

The Attempt at a Solution


Initially, let n be the number of moles of air inside the tube. Finally, the number of moles will be the same, since the air inside is sealed.
$$n=\frac{P_0V_0}{RT}$$
As the tube is raised, mercury level inside it rises. The process can't be adiabatic since heat excahange can take place. it could be isothermal but i don't know the exact reason.
As the tube is raised, the volume increases so pressure inside the gas decreases below ##P_0##, so the mercury level tends to move due to pressure difference.
 
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If you are asking whether this is a correct assessment, then yes, it is. You are also correct about the system not being adiabatic so that, when the system re-equilibrates, the temperature will again be the same as the original temperature.

Chet
 
Chestermiller said:
the temperature will again be the same as the original temperature.

Chet
Excuse me but, then, is it an isothermal transformation? I think that when we move the tube, the other end immersed exchanges heat, due to friction, with ambient that keeps temperature constant.
 
Pierce610 said:
Excuse me but, then, is it an isothermal transformation? I think that when we move the tube, the other end immersed exchanges heat, due to friction, with ambient that keeps temperature constant.
This makes no sense to me. Irrespective of what happens along the way, if you wait long enough, the system will come to equilibrium with the room temperature (i.e., the original temperature).

Chet
 

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