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13 December, 11:53

A sample of gas has a volume of 100.0 L at 135°C. Assuming the pressure remains constant, what is the volume of the gas if its temperature decreases to 72.0 °C?

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  1. 13 December, 12:22
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    Answer: 84.56L

    Explanation:

    Initial volume of gas V1 = 100L

    Initial temperature T1 = 135°C

    Convert temperature in Celsius to Kelvin

    (135°C + 273 = 408K)

    Final temperature T2 = 72°C

    (72°C + 273 = 345K)

    Final volume V2 = ?

    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

    100L/408K = V2/345K

    To get the value of V2, cross multiply

    100L x 345K = V2 x 408K

    34500 = V2 x 408K

    V2. = 34500/408

    V2 = 84.56L

    Thus, the volume of the gas becomes 84.56 liters
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