The gases inside of a normal tire are usually measured when they are at ambient standard temperature (298 K) & under a controlled pressure of 32.5 PSI in order for the device to remain “stable” – not blow up! Sometimes, driving conditions cause the pressure inside the tire to reach 40.68 PSI, what is the temperature of the air inside the tire at 40.68 PSI (in °C)?

100°C

Explanation:

The following were obtained from the question:

Initial temperature (T1) = 298 K

Initial pressure (P1) = 32.5 Psi

Final pressure (P2) = 40.68 Psi

Final temperature (T2) =..?

The final temperature can be obtained as follow:

P1/T1 = P2/T2

32.5/298 = 40.68/T2

Cross multiply to express in linear form

32.5 x T2 = 298 x 40.68

Divide both side by 32.5

T2 = (298 x 40.68) /32.5

T2 = 373K

Next, we shall convert 373K to celsius.

This is illustrated below:

T(°C) = T(K) – 273

T(K) = 373

T(°C) = 373 – 273

T(°C) = 100°C

Therefore, the temperature of the air inside the tire at 40.68 Psi is 100°C

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