Thermodynamics - shaking a bottle with liquid

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving a closed bottle containing a liquid that is shaken vigorously, resulting in an increase in the liquid's temperature. Participants explore the concepts of heat transfer and work done on the liquid during this process.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss whether the increase in temperature is due to heat transfer or work done on the liquid, with some suggesting that energy from shaking is converted into kinetic energy and subsequently into heat energy. Others question the definitions of work and heat flow in this context.

Discussion Status

The discussion is active, with various interpretations being explored regarding the relationship between kinetic energy, work, and heat transfer. Some participants provide insights based on the first law of thermodynamics, suggesting that work is done on the liquid despite the closed system, while others emphasize the role of viscous flow in heat generation.

Contextual Notes

Participants note the assumption of no heat flow into the liquid and the neglect of expansion on heating, which may influence their reasoning about energy transfer in the system.

zorro
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A closed bottle contains a liquid. The bottle is shaken vigorously for 5 minutes. It is found that the temperature of the liquid is increased. Is heat transferred to the liquid? Is work done on the liquid. Neglect expansion on heating.

I think the temperature increases due to the internal viscous force of the liquid. Heat is not transferred to the liquid as the bottle is closed and no work is done the the liquid because change in volume is 0.
 
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Shaking the bottle transfers energy (from the person or thing shaking) to the contents.
 


Do you mean the muscular energy of the person (shaking) is converted into kinetic energy of the liquid and consequently heat energy? So heat is transferred and work is done on the liquid.
Is it right?
 


Kinetic energy is definitely imparted to the fluid, but no work is done (assuming that at the end, the fluid is at rest and has not been raised or lowered). The kinetic energy is dissipated by viscous flow and converted into heat energy.
 
Andy Resnick said:
Kinetic energy is definitely imparted to the fluid, but no work is done (assuming that at the end, the fluid is at rest and has not been raised or lowered). The kinetic energy is dissipated by viscous flow and converted into heat energy.
Yes. It is a bit tricky. There is no heat flow into the liquid yet its temperature increases. From the first law: dQ = dU + dW so if dQ = 0 then dW = -dU. So work is done on the liquid. It is just that the work is converted to heat.

This is similar to the Joule paddle experiment.

AM
 


Andrew Mason said:
There is no heat flow into the liquid yet its temperature increases. From the first law: dQ = dU + dW so if dQ = 0 then dW = -dU. So work is done on the liquid. It is just that the work is converted to heat.

This is similar to the Joule paddle experiment.

AM

Thankyou!
 

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