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11 May, 03:19

95.8 L of fluorine gas is being held at a temperature of 24.5oC. If the temperature were raised to 46.9 oC, what would the new volume be?

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  1. 11 May, 04:28
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    Answer: 103 litres

    Explanation:

    Given that,

    Original volume of fluorine gas (V1) = 95.8L

    Original temperature of fluorine gas (T1) = 24.5°C

    [Convert 24.5°C to Kelvin by adding 273

    24.5°C + 273 = 297.5K]

    New volume of gas (V2) = ?

    New temperature of gas (T2) = 46.9°C

    [Convert 46.9°C to Kelvin by adding 273

    46.9°C + 273 = 319.9K]

    Since volume and temperature are given while pressure is held constant, apply the formula for Charle's law

    V1/T1 = V2/T2

    95.8L/297.5K = V2/319.9K

    To get the value of V2, cross multiply

    95.8L x 319.9K = 297.5K x V2

    30646.42L•K = 297.5K•V2

    Divide both sides by 297.5K

    30646.42L•K/297.5K = 297.5K•V2/297.5K

    103L = V2

    Thus, the new volume of fluorine gas will be 103 litres
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