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14 November, 12:06

The gas inside a balloon exerts a pressure of 3atm at 298 K. What is the temperature required to increase the pressure to 6 atm?

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  1. 14 November, 12:20
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    Answer: 596 atm

    Explanation:

    Given that,

    Original pressure of balloon P1 = 3atm

    Original temperature of balloon T1 = 298K

    New pressure of balloon P2 = 6atm

    New temperature of balloon T2 = ?

    Since pressure and temperature are given while volume is constant, apply the formula for Pressure law

    P1/T1 = P2/T2

    3 atm / 298K = 6 atm / T2

    To get the value of T2, cross multiply

    3 atm x T2 = 6 atm x 298K

    3 atmT2 = 1788 atmK

    Divide both sides by 3 atm

    3 atmT2 / 3 atm = 1788 atmK / 3 atm

    T2 = 596 atm

    Thus, a temperature of 596 atmospheres is required to increase the pressure to 6 atm.
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