A bicycle tire is filled with air to a pressure of 100. psi at a temperature of 19C. Riding the bike on asphalt on a hot day increases the temperature of the tire to 58?C. The volume of the tire increases by 4.0%. What is the new pressure in the bicycle tire?

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Oseni

Considering the direct relationship between pressure and temperature, the new pressure in the bicycle tire would be 63.01 psi

Gas law

The general gas laws is given by:

  P1V1/T1 = P2V2/T2

Where P1 = initial pressure V1 = initial volume T1 = initial temperature, P2 = final pressure, V2 = final volume, and T2 = final temperature.

In this case, P1 = 100 psi, V1 = 1, T1 = 19+273 = 292, P2 = ?, V2 = 1.4, T2 = 58+273 = 331

P2 = P1V1T2/T1V2

        = 100x1x292/331x1.4

                   = 63.01 psi

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