A car tire has a pressure of 2.38 atm at 15.2 c. If the pressure inside reached 4.08 atm, the tire will explode. How hot would the tire have to get for this to happen? Report the temperature in degrees Celsius.

The correct answer is 221.06 °C hot.

If P₁ is the pressure at T₁ and P₂ is the pressure at T₂ then,

P₁/T₁ = P₂/T₂

It is given that P₁ = 2.38 atm

T₁ = 15.2 degree C = 273 + 15.2 = 288.2 K

P₂ = 4.08 atm

T₂ = x

Thus, 2.38 / 288.2 = 4.08 / x

x = (4.08 * 288.2) / 2.38

x = 494.06 K

x = 494.06 - 273 °C = 221.06 °C

Therefore, the tire would get 221.06 °C hot.