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26 March, 17:46

423.3 mL of gas is at 49.2 C. It is compressed to a volume of 79 mL. What is the new temperture. Express your answer in Kelvin.

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  1. 26 March, 18:14
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    Answer: 60.1K

    Explanation:

    Initial volume of gas V1 = 423.3mL

    Initial temperature T1 = 49.2°C

    Convert temperature in Celsius to Kelvin

    (49.2°C + 273 = 322.2K)

    Final temperature T2 = ?

    Final volume V2 = 79mL

    According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.

    Mathematically, Charles' Law is expressed as: V1/T1 = V2/T2

    423.3mL/322.2 = 79mL/T2

    To get the value of T2, cross multiply

    423.3mL x T2 = 322.2K x 79mL

    423.3mL x T2 = 25453.8

    T2 = (25453.8/423.3mL)

    T2 = 60.1K

    Thus, the new temperature of the gas is 60.1K
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