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21 January, 22:31

The pressure in a bicycle tire is 66 psi at 50 ˚C in Phoenix. You take the bicycle up to Flagstaff, where the temperature is 32 ˚C. What is the pressure in the tire? (Volume and amount of moles are held constant)

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  1. 22 January, 00:59
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    Pressure in the tire is 62.32psi

    Explanation:

    The following were obtained from the question given:

    P1 = 66 psi

    T1 = 50˚C = 50 + 273 = 323K

    T2 = 32˚C = 305K

    P2 = ?

    Using P1/T1 = P2/T2 we simply calculate the new pressure as follows:

    P1/T1 = P2/T2

    66/323 = P2/305

    Cross multiply to express in linear form

    323 x P2 = 66 x 305

    Divide both side by 323

    P2 = (66 x 305) / 323

    P2 = 62.32psi

    pressure in the tire is 62.32psi
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