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5 September, 04:32

A 1.00 L flask containing gas A at 5.00 atm is connected to a 4.00 L flask containing gas B at 1.00 atm. When the two gases are allowed to mix at constant temperature, what is the final pressure in the two-flask assemblage?

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  1. 5 September, 04:34
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    The final pressure in the two-flask assemblage is 1.8 atm

    Explanation:

    The given variables are

    Flask 1 with gas A = 1.00 L at 5.00 atm

    Flask 2 with gas B = 4.00 L at 1.00 atm

    From the Daltons law of partial pressure which states that the total pressure of a given mixture of gases is equal to the sum of the partial pressures of the gases in the mixture

    Ptotal = P₁ + P₂ + P₃

    Final volume of both gases = 5.00 L

    Boyle's law states that the pressure of a given mass of gas is inversely proportional to its volume

    P₁·V₁ = P₂·V₂

    Therefore their final pressure =

    for gas A 1.00 L * 5.00 atm = 5.00 L * P₂

    therefore P₂ = 1.00 atm

    for gas B

    1.00 atm * 4.00 L = P₂*5.00 L

    Therefore P₂ = 4/5 atm

    Total pressure P₂ for gas A + P₂ for gas B

    1+4/5 atm or 1.8 atm
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