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30 January, 21:48

A 12 oz can of soda was left in a car on a hot day. in the morning, the soda temperature was 60°f with a gauge pressure of 40 psi. what will the gauge pressure be when the soda reaches 90°f (or 305 kelvin) ?

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  1. 30 January, 22:02
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    From gas equations

    PV/T = Constant

    Then

    P1V1/T1 = P2V2/T2, but V1 = V2

    Therefore,

    P1/T1 = P2/T2

    P2 = (P1T2) / T1

    P1 = 40 psi

    T1 = 60°F = 288.706 K

    T2 = 90°F = 305.372 K

    Substituting;

    P2 = (40*305.372) / 288.706 = 42.31 psi

    Then, gauge pressure would read 42.31 psi.
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