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27 October, 22:13

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) ?

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  1. 27 October, 22:18
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    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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