An inflated tyre suddenly bursts -- What is the temperature of the air?

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Homework Help Overview

The discussion revolves around the thermodynamic implications of an inflated tyre bursting and the resulting temperature changes of the air involved. Participants explore the relationship between pressure, kinetic energy, and temperature in gases, particularly focusing on the air inside the tyre and the surrounding atmosphere.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question whether the temperature of the air increases, decreases, or remains constant after the tyre bursts. They discuss the kinetic model of gases and the relationship between particle speed and temperature. There is also an exploration of the concepts of mechanical work versus free expansion in relation to temperature changes.

Discussion Status

The discussion is active, with participants attempting to clarify their understanding of kinetic molecular theory and thermodynamics. Some guidance has been offered regarding the relationship between kinetic energy and temperature, but there is no explicit consensus on the overall temperature change of the air.

Contextual Notes

Participants express uncertainty regarding their knowledge of thermodynamics and kinetic molecular theory, indicating that some foundational concepts may be under discussion. There is a mention of a source post that may provide additional context for future reference.

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Homework Statement


An inflated tyre suddenly bursts. As a result of this the temperature of air
(a)increases
(b) decreases
(c) may increase or decrease
(d) remains constant.

Homework Equations

The Attempt at a Solution


The answer in the book is (D) remain constant.

Does it mean air outside the tyre ? (atmosphere)The air formerly in the tire cools off as it expands, as its pressure energy gets converted to kinetic energy.

The kinetic energy added to the atmosphere increases, raising earth’s atmospheric temperature.

in what way this answer is correct? .
 
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Have you learned about the kinetic model of a gas? The speed of the particles is related to the temperature.
 
verty said:
Have you learned about the kinetic model of a gas? The speed of the particles is related to the temperature.
yes K.E=3/2(K T)
and K.E=1/2(mv2)
 
So do you understand it now? The answer, I mean.
 
verty said:
So do you understand it now?
i am sorry . I am trying to learn Kinetic molecular theory of gases
 
verty said:
So do you understand it now?
The air outside got warmer but the air that was inside the tyre got cooler so as a whole there is no change in temperature.
Is it the right discussion?
 
alijan kk said:
The air outside got warmer but the air that was inside the tyre got cooler so as a whole there is no change in temperature.
Is it the right discussion?
No. Speed of particles.

PS. I'll quote the source post in future.
 
Last edited:
alijan kk said:
yes K.E=3/2(K T)
and K.E=1/2(mv2)
alijan kk said:
its pressure energy gets converted to kinetic energy.
Yet as you posted temperature is directly related to molecular KE.
alijan kk said:
The air formerly in the tire cools off as it expands
Are you aware of the distinction between expansion that does mechanical work and free expansion?
http://web.mit.edu/16.unified/www/FALL/thermodynamics/notes/node33.html
 
Have you had a course in thermodynamics yet?
 
  • #10
verty said:
No. Speed of particles.
speed of particles (that were inside the tyre)
Chestermiller said:
Have you had a course in thermodynamics yet?
No . I am trying to learn it
 

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