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30 December, 07:03

A balloon is filled with helium at sea level the volume is measured to be 3.1 Liters at a pressure of 0.97 atmosphere. If the balloon is released it drifts upwards. At height of 4 kilometers the pressure is measured to be 0.61 atmospheres. What is the volume of the balloon?

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  1. 30 December, 09:32
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    The volume of balloon is 4.92 L

    Calculation

    The volume of balloon is calculated using Boyle's law formula

    that is P1V1 = P2V2

    where P1 = 0.97 atm

    V1 = 3.1 L

    P2 = 0.61 atm

    V2=? L

    by making the V2 the subject of the formula.

    that is by dividing both side with P2

    V2 = P1V1/P2

    v2=[ (0.97 atm x 3.1 L) / 0.61 atm] = 4.93 L
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