Thursday, December 8, 2016

Tire Pressure Warning


Every winter my car’s tire pressure warning light comes on, even though no air actually escapes. As we learned in class, a drop in temperature of a gas is proportional to a drop in pressure, as the molecules lose internal energy. I decided to calculate the temperate drop required to make my pressure warning light come on for any given tire. A quick google search showed me that the pressure light comes on when the pressure (assuming gauge pressure) drops below 25% of the recommended psi, which is 31 psi, or 2.11atm.
25% of 31 = 23.25 psi = 1.58 atm

P1 = P2 à 2.11 atm = 1.58 atm àT2 = 29.8OC
T1    T2             40oC          T2


Therefore I expect my tire pressure light to come on when the temperature drops below approximately 29 degrees celsius.

References

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