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What are the changes that occur inside a helium balloon as it rises from sea level?

Answer 1

That (i) the volume of the balloon INCREASES......

And (ii) the density of the contained gas DECREASES.......

We assume a constant temperature, and thus #P_1V_1=P_2V_2#. And since #P_2"<<"P_1#, #V_2">>"V_1# in order to compensate for the pressure drop. Since #V_2# (and #V_1#) displaces a mass of air that is greater than the mass of the balloon, the balloon rises even higher in altitude.

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Answer 2

Cooper Anderson

When a helium balloon rises above sea level, the surrounding atmospheric pressure drops, which causes the helium inside the balloon to expand and increase in volume. Moreover, when the balloon rises, the surrounding air temperature typically drops, which causes the helium gas inside the balloon to cool down and decrease in density even more. As a result, the buoyant force acting on the balloon increases and it rises even higher.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.