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29 May, 06:34

A tire is filled to a gauge pressure of 2 atm at 27 degrees Celsius after a drive the temperature within the tire rises to 47 degrees celsius. What is the pressure within the tire now

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  1. 29 May, 08:29
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    2.13atm

    Explanation:

    The following information were obtained from the question:

    P1 (initial pressure) = 2atm

    T1 (initial temperature) = 27°C = 27 + 273 = 300K

    T2 (final temperature) = 47°C = 47 + 273 = 320K

    P2 (final pressure) = ?

    Using the equation P1/T1 = P2/T2, the final pressure within the tyre can be obtained as illustrated below:

    P1/T1 = P2/T2

    2/300 = P2/320

    Cross multiply to express in linear form

    300 x P2 = 2 x 320

    Divide both side by 300

    P2 = (2 x 320) / 300

    P2 = 2.13atm

    Therefore, the pressure within the tyre at 47°C is 2.13atm
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