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14 February, 18:27

The volume of a gas at 17.5 psi decreases from 1.8L to 750mL. What is the new pressure of the gas in arm?

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  1. 14 February, 18:44
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    P₂ = 2.88 atm

    Explanation:

    Given dа ta:

    Initial volume of gas = 1.8 L

    Final volume = 750 mL

    Initial pressure = 17.5 Psi

    Final pressure = ?

    Solution:

    We will convert the units first:

    Initial pressure = 17.5 / 14.696 = 1.2 atm

    Final volume = 750 mL * 1L/1000L = 0.75 L

    The given problem will be solved through the Boly's law,

    "The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"

    Mathematical expression:

    P₁V₁ = P₂V₂

    P₁ = Initial pressure

    V₁ = initial volume

    P₂ = final pressure

    V₂ = final volume

    Now we will put the values in formula,

    P₁V₁ = P₂V₂

    1.2 atm * 1.8 L = P₂ * 0.75 L

    P₂ = 2.16 atm. L / 0.75 L

    P₂ = 2.88 atm
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