What is the reason of cooler air coming out of a bursting tire?

We know from the ideal gas law that pressure increases proportionally with the increase of temperature when volume is held constant for a given mass. As the air inside the tire is in compressed state, the temperature inside the tire is high. When the tire bursts, air inside the tire comes out very fast causing a sudden expansion and decrease in temperature. Therefore, the air is relatively cooler than the surroundings. Blowout of tire occurs when the location of tearing of the tire is incapable of containing the pressurized air and the escaping air causes further tear of the tire.