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21 August, 19:29

What is the pressure inside a 750 mL can of deodorant that starts at 15 degrees Celsius and 1.0 atm if the temperature is raised to 95 degrees Celsius?

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  1. 21 August, 23:03
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    The answer is: the pressure inside a can of deodorant is 1.28 atm.

    Gay-Lussac's Law: the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.

    p₁/T₁ = p₂/T₂.

    p₁ = 1.0 atm.; initial pressure

    T₁ = 15°C = 288.15 K; initial temperature.

    T₂ = 95°C = 368.15 K, final temperature

    p₂ = ?; final presure.

    1.0 atm/288.15 K = p₂/368.15 K.

    1.0 atm · 368.15 K = 288.15 K · p₂.

    p₂ = 368.15 atm·K : 288.15 K.

    p₂ = 1.28 atm.

    As the temperature goes up, the pressure also goes up and vice-versa.
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