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4 November, 00:20

2. An automobile tire has a pressure of 210 kPa at 293 K. What will be the tire pressure after driving, if the tire temperature rises to 308 K?

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  1. 4 November, 01:51
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    Answer: 220.75 kPa

    Explanation:

    Given that,

    Original pressure of tire (P1) = 210 kPa

    Original temperature of tire (T1) = 293K

    New pressure of tire (P2) = ?

    New temperature of tire (T2) = 308K

    Since pressure and temperature are given while volume is held constant, apply the formula for Pressure's law

    P1/T1 = P2/T2

    210 kPa/293K = P2/308K

    To get the value of P2, cross multiply

    210 kPa x 308K = 293K x P2

    64680 kPa•K = 293K•P2

    Divide both sides by 293K to get P2

    64680 kPa•K/293K = 293K•P2/293K

    220.75 kPa = P2

    Thus, the new tire pressure after driving will be 220.75 kPa
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