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24 August, 19:49

A bag of potato chips contains 585 mL of air at 25°C with a pressure of 765 mm HG. What will be its volume at the top of the mountain where the pressure is 442 MM Hg and the temperature is 5.0°C

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  1. 24 August, 20:25
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    944.55mL

    Explanation:

    Data obtained from the question include:

    V1 (initial volume) = 585 mL

    T1 (initial temperature) = 25°C = 25 + 273 = 298K

    P1 (initial pressure) = 765 mmHg

    V2 (final volume) = ?

    P2 (final pressure) = 442 mmHg

    T2 (final temperature) = 5°C = 5 + 273 = 278K

    Applying the general gas equation P1V1/T1 = P2V2/T2, the final volume at the top of the mountain can be obtained as follow:

    P1V1/T1 = P2V2/T2

    765 x 585/298 = 442 x V2/278

    Cross multiply to express in linear form as shown below:

    298 x 442 x V2 = 765 x 585 x 278

    Divide both side by 298 x 442

    V2 = (765 x 585 x 278) / (298 x 442)

    V2 = 944.55mL

    Therefore, the volume at the top of the mountain will be 944.55mL
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