Problem: A particular balloon is designed by its manufacturer to be inflated to a volume of no more than 2.5 L. If the balloon is filled with 2.0 L helium at sea level, is released, and rises to an altitude at which the atmospheric pressure is only 500. mm Hg, will the balloon burst? (Assume temperature is constant.)

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FREE Expert Solution

Recall: The ideal gas law is as follows:

We can see that the pressure and volume of a gas are related to the number of moles of gas, the universal gas constant, and the temperature of the gas.

For a given number of moles of gas at a constant temperature, the initial and final pressure and volume of the gas are related by Boyle's law.

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Problem Details

A particular balloon is designed by its manufacturer to be inflated to a volume of no more than 2.5 L. If the balloon is filled with 2.0 L helium at sea level, is released, and rises to an altitude at which the atmospheric pressure is only 500. mm Hg, will the balloon burst? (Assume temperature is constant.)