The square root function is the appropriate choice to model the expansion of a balloon as air is added, considering uniform pressure and temperature.
The function that could be used to model the expansion of a balloon as air is slowly added, assuming uniform pressure and temperature is the square root function.
This is because the rate at which gases effuse from a balloon is inversely proportional to the square root of the molecular weight, impacting how the balloon expands with the addition of air under the given conditions.
Charles's Law also explains how the volume of a balloon increases roughly proportionally with the temperature of the gas inside it, supporting the use of a square root function to model its expansion.
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