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Gas in a balloon occupies 3.3 L. What volume will it occupy if the pressure is changed from 100.0 kPa to 90.0 kPa (at constant temperature).

  • Ishankahps: Since the temperature is a constant, we can use Boyle's law to solve this.

    Boyle' law says "at a constant temperature, the pressure of a fixed amount of an ideal gas is inversely proportional to its volume.

    P α 1/V              
                    PV = k (constant)

    Where, P is the pressure of the gas and V is the volume.

    Here, we assume that the gas in the balloon is an ideal gas. 

    We can use Boyle's law for these two situations as,
                P
    V = PV

    P₁ = 100.0 kPa = 1 x 10⁵ Pa
    V₁ = 3.3 L
    P₂ = 90.0 x 10³ Pa
    V₂ =?

    By substitution,
        1 x 10⁵ Pa x 3.3 L = 90 x 10³ Pa x V₂

                                V
     = 3.7 L
    Hence, the volume of gas when pressure is 90.0 kPa is 3.7 L.
Science Matters: Ideal Gas Law with a Balloon
Science Matters: Ideal Gas Law with a Balloon

Source: science-mattersblog.blogspot.com

Science Matters: Ideal Gas Law with a Balloon

Science Matters: Ideal Gas Law with a Balloon

Source: science-mattersblog.blogspot.com

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