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30 October, 14:35

When it became too hot to stay outside during a summer birthday party, the party was moved inside to an air-conditioned porch. If a latex balloon had a volume of 6.50 L at 31 °C, what would be the volume of this balloon at 21 °C?

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  1. 30 October, 16:40
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    6.286 L.

    Explanation:

    Applying Charles Law,

    V/T = V'/T' ... Equation 1

    Where V = Initial volume of the balloon, T = Initial Temperature of the balloon, V' = Final volume of the balloon, T' = Final Temperature of the balloon

    make V' the subject of the equation

    V' = VT'/T ... Equation 2

    Given: V = 6.50 L, T = 31 °C = (273+31) K = 304 K, T' = 21 °C = (273+21) K = 294 K

    Substitute into equation 2

    V' = 6.5 (294) / 304

    V' = 6.286 L.

    Hence the new volume in the balloon = 6.286 L.
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