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A helium balloon is used to lift a load of 101 N. The weight of the envelope of the balloon is 49.5 N and the volume of the helium when the balloon is fully inflated is 32.7 m3. The temperature of the air is 0°C and the atmospheric pressure is 1.00 atm. The balloon is inflated with a sufficient amount of helium gas that the net upward force on the balloon and its load is 30.9 N. Neglect any effects due to the changes of temperature as the altitude changes.

(a) How many moles of helium gas are contained in the balloon?

(b) At what altitude will the balloon be fully inflated?

(c) Does the balloon ever reach the altitude at which it is fully inflated?

(d) If the answer to Part (c) is "Yes," what is the maximum altitude attained by the balloon? (If the answer to Part (c) is "No", enter no.)

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