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11 June, 22:16

A mylar balloon is filled with helium gas to a pressure of 107 kPa when the temperature is 22°C. If the temperature changes to 45°C, what will be the pressure of the helium in the balloon?

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  1. 11 June, 22:45
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    To solve this problem, we have to remember the ideal gas theory. We going to use the Gay Lussac Law.

    The equation is:

    PiTo = PoTi

    Where:

    Pi = initial pressure

    Po = final pressure

    Ti = initial temperature

    To = final temperature

    Let's use this equation and replace the values:

    Pi = 107 kPa

    Ti = 22°C

    To = 45 °C

    Po = ?

    You can use the units as the problem gave you.

    Using the Gay Lussac law:

    107 kPa x 45 °C = Po x 22°C

    Po = (4,815 kPa°C / 22°C) = 218.86 kPa

    Po = 218 kPa
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