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26 June, 12:59

500 mL of He at 98 kPa expands to 750 mL. Find P2.

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  1. 26 June, 16:38
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    0.65atm or 65.3kPa

    Explanation:

    Given parameters:

    Initial volume of He = 500mL

    Initial pressure = 98kPa, this gives 0.967atm

    Final volume = 750mL

    Unknown:

    Final pressure = ?

    Solution:

    A good grasp of Boyle's law should suffice here. The law states that:

    "the volume of a fixed mass of gas varies inversely as the pressure changes if the temperature is constant".

    Mathematically;

    P₁ V₁ = P₂ V₂

    where P and V are pressure and volume

    1 and 2 are the initial and final states;

    Now, solve for the unknown P₂;

    0.967 x 500 = P₂ x 750

    P₂ = 0.65atm or 65.3kPa
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