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26 April, 06:53

The pressure in an automobile tire is 204 kPa at 29 C. At the end of a trip on a hot sunny day, the pressure has risen to 300 kPa. What is the temperature of the air in the tire

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  1. 26 April, 07:04
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    The temperature of the air in the tire is 171°C

    Explanation:

    Let's apply the Gay Lussac law to solve this, where at constant volume, the pressures varies directly proportional to absolute T°

    P₁ / T₁ = P₂ / T₂

    29°C + 273 = 302K

    204kPa / 302K = 300kPa / T₂

    0.675 = 300kPa / T₂

    T₂ = 300kPa / 0.675 = 444K

    444 K - 273 = 171°C
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