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19 March, 04:15

A bicycle tire is inflated to a gauge pressure of 3.71 atm when the temperature is 16°C. While a man rides the bicycle, the temperature of the tire rises to 45°C. Assuming the volume of the tire does not change, find the gauge pressure in the tire at the higher temperature.

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  1. 19 March, 05:52
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    The pressure of the tire will be 4.19 atm

    Explanation:

    The ideal gas equation is:

    p0 * V0 / T0 = p1 * V1 / T1

    Since V0 = V1 because the volume of the tire doesn't change

    p0 / T0 = p1 / T1

    p1 = p0 * T1 / T0

    We need absolute temperatures for this equation

    16 C = 289 K

    45 C = 318 K

    Now we replace the values:

    p1 = 3.71 * 318 / 289 = 4.19 atm
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