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18 November, 13:02

A sealed container holding 0.0255 L of an ideal gas at 0.991 atm and 69 ∘ C is placed into a refrigerator and cooled to 43 ∘ C with no change in volume. Calculate the final pressure of the gas.

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  1. 18 November, 13:09
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    Answer: Final pressure of the gas is 0.916atm

    Explanation: Using Charles law formula. P1V1T2 = P2V2T1

    Where P1 = 0.991atm, V1 = 0.0255L, T1 = 69°C = 273+69 = 546.15, P2 = x, V2 = 0.0255L, T2 = 43°C = 273+43 = 316.15K.

    Solution.

    Substituting all the parameters into the equation

    P1V1T2=P2V2T1,

    we get,

    0.991*0.0255*316.15 = P2 * 0.0255 * 546.15

    P2 = 0.916atm
  2. 18 November, 13:21
    0
    The final pressure of the gas is 0.915atm

    Explanation:

    We have to apply the Charles Gay Lussac Law, where the pressure changes directly proportional to absolute T°

    - No change in volume

    - The same moles in both situations

    P1 / T1 = P2 / T2

    0.991 atm / 342K = P2 / 316k

    (0.991 atm / 342K). 316K = P2

    0.915 atm = P2
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