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

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When an inflated tire bursts, the temperature of the air inside decreases due to expansion, while the kinetic energy released can warm the surrounding atmosphere. The consensus in the discussion is that the overall temperature remains constant, as the cooling of the air inside the tire offsets the warming of the external air. Participants emphasize the relationship between particle speed and temperature, referencing the kinetic molecular theory of gases. The distinction between mechanical work during expansion and free expansion is also noted as relevant to understanding the temperature changes. Overall, the discussion highlights the complexities of gas behavior during rapid pressure changes.
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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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