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22 September, 03:50

A birthday balloon had a volume of 14.1 L when the gas inside was at a temperature of 13.9 °C. Assuming no gas escapes, what is its volume when the balloon warms up to 22.0 °C?

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  1. 22 September, 04:28
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    14.5L

    Explanation:

    The following data were obtained from the question:

    V1 = 14.1L

    T1 = 13.9°C = 13.9 + 273 = 286.9K

    T2 = 22°C = 22 + 273 = 295K

    V2 = ?

    Using charles' law: V1/T1 = V2 / T2, we can obtain the new volume as follows:

    14.1/286.9 = V2 / 295

    Cross multiply to express in linear form

    286.9 x V2 = 14.1 x 295

    Divide both side by 286.9

    V2 = (14.1 x 295) / 286.9

    V2 = 14.5L

    Therefore, the new volume = 14.5L
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