Question

When an inflated tyre bursts, the air escaping out __________.

• A. will get heated up
• B. will be cooled
• C. will not undergo any change in its temperature
• D. will be liquefied

Answer 1

The correct option is B will be cooled

Bursting of a tyre is an adiabatic expansive i.e, $dQ=0$ $\&$ $dV=+ve$

So, According to first law of thermodynamic $dQ=dV+PdV$

$\Rightarrow -PdV=dV=CvdT$

As $P$ is $+ve$ $dV$ is $+V$ thus $dV=-ve$

So, $dT$ is $-ve$ means decrease in temperature.

Hence, the answer is will be cooled.