Question

When an inflated tyre bursts, the air escaping out will:
A. get heated up
B. be cooled
C. not undergo any change in its temperature
D. be liquified

Answer 1

In the condition of inflated tyre bursts, adiabatic expansion plays a major role. In adiabatic expansion when the gas is compressed adiabatically, the heat is not transferred between the system and surrounding. The work is done by the gas and the temperature decreases.

Complete step by step answer:
When the tire bursts, temperature falls due to adiabatic expansion. In adiabatic expansion the heat does not pass from the system to the surrounding. Thus the internal energy is equal to the temperature.
The first law of thermodynamics states that the energy can be converted from one form to another by the interaction of work, heat and internal energy but it cannot be created nor be destroyed.
The equation for the first law of thermodynamic is given as shown below.
$\Delta E = q + w$
The adiabatic expansion is given as shown below.
$\Rightarrow \Delta E = w$
The pressure inside the tyre is higher than the atmospheric pressure, when the tire is inflated the air inside the tyre comes in contact with the surrounding and it works against the surrounding. As a result internal energy decreases and the temperature drops down. Due to this the air escaping out will be cooled.

Therefore, the correct option is C .

Note: The adiabatic process can take place reversibly or irreversibly. There are some conditions for the adiabatic process to take place, the system should be insulated from the surrounding. The reversible adiabatic process is also known as isentropic process.