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26 May, 11:44

An aerosol can contains 800.0 mL of compressed gas at 10.2 atm pressure. When the gas is sprayed into a large plastic bag, the bag inflates to a volume of 4.14 L. What is the pressure of gas (atm) inside the plastic bag if the temperature did not change and all of the gas was transferred completely?

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  1. 26 May, 11:55
    0
    The pressure of the gas inside the plastic bag is 1.971 atm

    Explanation:

    Since temperature did not change, it means it is constant. This will then be Boyle's law. Thus

    P1V1 = P2V2

    Where P1 is the initial pressure = 10.2 ATM, P2 is the final pressure which is to be calculated.

    V1 is the initial volume = 800.0 mL and V2 is the final volume of the gas = 4.14 L

    From the formula,

    P2 = P1V1/V2

    = 10.2*800:4.14

    = 1.971 atm
  2. 26 May, 12:13
    0
    Pressure of gas in the plastic bag is 1.97 atm

    Explanation:

    It is possible to answer this question by using Boyle's law: Boyle's law describes that, for ideal gases, the pressure of the gas is inversely proportional to the volume it occupies. Is expressed as:

    P1V1 = P2V2

    Where:

    P1 is the initial pressure of the gas (In the problem, 10.2 atm).

    V1 is initial volume (800.0mL)

    V2 is final volume (4.14L ≡ 4140mL)

    And P2 is the final pressure.

    Replacing:

    10.2 atm*800.0mL = 4140mL*P2

    P2 = 1.97 atm
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