A latex balloon inflated to an excess pressure of 1kpa and, Ask an Expert

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A latex balloon, inflated to an excess pressure of 1kPa and a radius of 30cm, is attached to a smooth nozzle, initially stoppered. The stopper is removed, and the balloon deflates in 5 seconds. Imagine that you are using the air stream exiting the balloon to suspend pennies in midair. How many pennies (3g each) can the balloon suspend in midair as it deflates? To simplify the problem, make the following simplifying assumptions: 1) air is an ideal gas, with CV = (5/2)R and a molar mass of 28g/mol (i.e, air is mostly nitrogen); 2) the balloon pressure remains constant as it deflates; 3) the volume of the balloon when deflated is small.

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