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11 December, 15:21

The gauge pressure in your car tires is 2.20 x 10^5 N/m^2 at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is their gauge pressure (in atm) later, when their temperature has dropped to - 38.0°C? (Assume that their volume has not changed.)

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  1. 11 December, 18:13
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    1.425 atm

    Explanation:

    Gauge pressure, P1' = 2.20 x 10^5 N/m^2 = 2.178 atm

    Absolute pressure P1 = P1' + Po

    where, Po be the atmospheric pressure

    P1 = 2.178 + 1 = 3.178 atm

    T1 = 35 degree C = 35 + 273 = 308 k

    T2 = - 38 degree c = - 38 + 273 = 235 k

    let final absolute pressure is P2. Use

    P1 / T1 = P2 / T2

    3.178 / 308 = P2 / 235

    P2 = 2.425 atm

    So, the final gauge pressure = 2.425 - 1 = 1.425 atm
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