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28 November, 03:59

A new thermometer is being developed using volume of gas. A balloon is filled with air and calibrated for room temperature to have a volume of 1000 ml. Some time later that week the balloon is measured to have a volume of 900 ml. If room temperature is 300 kelvin, what would the new temperature be? The balloon does not leak.

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  1. 28 November, 05:28
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    The new temperature is 270 kelvin

    Explanation:

    We use the gas law that relates volume and temperature to find the new temperature

    This is the Charles' law and it states that volume and temperature are directly proportional.

    Mathematically;

    V1/T1 = V2/T2

    From the question, V1 = 1000 ml, V2 = 900 ml while T1 = 300 k and T2 = ?

    it is T2 we are trying to calculate

    Changing the subject of formula;

    V2T1/V1 = T2

    (900 * 300) / 1000 = T2

    T2 = 270000/1000

    T2 = 270 kelvin
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