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28 January, 11:22

2. What is the final temperature of a gas when the volume at 15.0 degrees Celsius was 15 L and changed to 5.0 L if the pressure remains constant?

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  1. 28 January, 12:05
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    - 177°C

    Explanation:

    Data obtained from the question include:

    V1 (initial volume) = 15L

    T1 (initial temperature) = 15°C = 15 + 273 = 288K

    V2 (final volume) = 5L

    T2 (final temperature) = ?

    Since the pressure is constant, the gas is obeying Charles' law.

    Using the Charles' law equation V1/T1 = V2/T2, the final temperature of the gas can be obtained as follow:

    V1/T1 = V2/T2

    15/288 = 5/T2

    Cross multiply to express in linear form as shown below:

    15 x T2 = 288 x 5

    Divide both side by 15

    T2 = (288 x 5) / 15

    T2 = 96K

    Now, we need to convert 96K to celsius temperature. This is illustrated below

    °C = K - 273

    °C = 96 - 273

    °C = - 177°C
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