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

[alijan kk]

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? .

 

[verty]

Have you learned about the kinetic model of a gas? The speed of the particles is related to the temperature.

 

[alijan kk]

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)

 

[verty]

So do you understand it now? The answer, I mean.

 

[alijan kk]

So do you understand it now?

i am sorry . I am trying to learn Kinetic molecular theory of gases

 

[alijan kk]

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?

 

[verty]

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.

 

[haruspex]

yes K.E=3/2(K T)
and K.E=1/2(mv²)

its pressure energy gets converted to kinetic energy.

Yet as you posted temperature is directly related to molecular KE.

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

 

[Chestermiller]

Have you had a course in thermodynamics yet?

 

[alijan kk]

No. Speed of particles.

speed of particles (that were inside the tyre)

Have you had a course in thermodynamics yet?

No . I am trying to learn it